{"text":"Question: What is the millions digit of 7127846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w = 4*w - 6. Let t(h) = -4*h + 2. Let v(j) be the first derivative of -5*j - 39 - 2*j + 14 + 6*j. Give w*v(q) - t(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 - -46?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 8 = -26. Let d be (2\/30)\/(z\/30). Which is the second biggest value? (a) -4 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 168 = 15*r. What is the greatest common factor of r and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/d**(-12))\/d)\/d**(-15))**(1\/16)*(d**(2\/11)*d*(((d**(2\/11)*d)\/d*d*d)\/d)\/d)**22 assuming d is positive.\nAnswer: d**(507\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 1 - 2)*(-30338112*l + 30338112*l - 9527*l**2) as u*l**2 + x + z*l and give u.\nAnswer: 9527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**2 + 3*r + 8. Determine k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 11472*c + 848926. Give z(-74).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -136503\/424 > -321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + q + 15 = 0, 5*q - 74 = -5*d - 89. What is the smallest common multiple of 592 and d?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1161.9 - -1163.9. What is the biggest value in 4, v, 0.1, 477, -4?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4719 - -283133\/60. Let g = 13\/180 + z. Is g at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4662 greater than or equal to -4655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/6*(-4 - (-1 + -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/449598 and -31\/14.\nAnswer: 3147186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a - a - 4*a + 2*a - 2*a + 2*a + (-5*a + 5*a + 4*a)*(0 + 0 + 3).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.36582491 and 1.2?\nAnswer: 0.16582491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the first derivative of 0*k**4 + 0*k**5 + 0*k**2 + 0*k - 1 + 1\/3*k**3 - 1\/3*k**6. What is the third derivative of g(i) wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 41 - 41. Suppose y = -r - 4 + 8. Solve b + 12 = r*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -259.7*-739.8\nAnswer: 192126.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8673 - -0.163.\nAnswer: 8673.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*a*s**2 + 501*a*s + 745*a - 128358*s**2 wrt s?\nAnswer: -4*a - 256716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.4 - -2.4. Suppose 4*v = 3*v - 44. Let f be 2 + 6\/(-4) + (-110)\/v. What is the third smallest value in p, 1.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {m: 4, g: 10}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of n**2*w**6 - 3*n**2*w**3 + 5*n**2*w**2 + 13*n**2*w + 26*n*w**2 + 1 wrt w?\nAnswer: 120*n**2*w**3 - 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = -4*f + 13*f + f - 1040 for f.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -32508726, -65017452, -97526178?\n\"Answer: -32508726*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -3*g - 21. Let n(z) = z**3 + 6*z**2 - 3*z - 4. Let t be n(g). List the prime factors of (t\/(-10))\/((-6)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + -1. Let u be (0 + 1)\/((-2)\/(-6)). Differentiate -i - t**4 + u*t - 3*t wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 1303*a + 267. Let w(j) = -3910*j - 805. Let v(p) = -8*o(p) - 3*w(p). What is the first derivative of v(c) wrt c?\nAnswer: 1306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 51, -3, -30\/2107, 2\/15, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*z - 6 + 36 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 31597 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 + 13*c**2 - 14*c + 21. Let j be q(11). Let a = j + -108. Let 8*m + 7 - a + 4*m + 4*m**2 + 2 = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.3, 1, -0.2, -1\/4, 0.04, 3, 102\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -21373358*s**2 - 20673067 with respect to s.\nAnswer: -42746716*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2*a**3 - 10*a**2 - 100*a + 54. Calculate r(16).\nAnswer: 4086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2028 and 104?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 92 + -42. Suppose 5*q - 5*m + s = 0, -4*m + 5*m - 1 = 0. Let b = 25 + q. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from khkckkukclcu. Give prob of picking 2 k.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 2*b**2. Let c(q) = 2*q**2 - 110*q. Calculate s(c(h)).\nAnswer: 8*h**4 - 880*h**3 + 24200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/144 and -11\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 80*w**2 - 1. What is m(1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9.9 - 12. Let z = -1.7 - d. Which is the third biggest value? (a) z (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -116191, -116584, -116977, -117370?\nAnswer: -117763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/2 + 0 - -1. Suppose -j*m**2 + 3*m + m**2 - 2*m - m**3 + 2*m**3 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 3*t**3 + 182*t**2 + 121*t + 60. Let l be k(-60). Let y(v) be the third derivative of l*v - 1\/8*v**4 + 29*v**2 - 1\/2*v**3 - 1\/60*v**5 + 0. Give y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:43 PM and 2:45 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -3*w + 201, 0*w + 268 = -4*f - w. Is -446*-2*f\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = a - 12, 9*n = -12 - 69. Solve v - 3*m - 11 = -a, 3*v - 17 = 2*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -3*l - 37, 2*l = -0*l - 5*n - 34. Let g = 79 + -24. Let m = g + l. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665044 rounded to the nearest one thousand?\nAnswer: 665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -27 in -2\/3, 2, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 185*o**3 + 22*o - 3. Let u(g) = 370*g**3 + 37*g - 5. Calculate 5*n(h) - 3*u(h).\nAnswer: -185*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 2*o**2. Let m(l) be the first derivative of l**2 - 4*l**2 - 4 + 2*l**2 + 1. Calculate d(m(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(847) + sqrt(847) + 3)*5.\nAnswer: 25 + 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2919*j - 10963. Let t be r(4). Let y(x) = -2*x + 7. Let u be y(-8). What is the greatest common factor of t and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 865 is divided by 548\/4 + -9 + 1 + 19?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/22842 and 61\/1938222.\nAnswer: 819867906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -14553 take away -23025082880?\nAnswer: 23025068327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 205939 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a**2 - 4*a - 2. Let b be h(4). Suppose -x + 58 = b. What is the common denominator of 23\/12 and -1 + 262\/x + -3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 25 = -2*s, -3*z + 2*s = 3*s + 4. Let r = -0.5 - 0.5. Which is the closest to 0? (a) 2 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tttz when four letters picked without replacement from {z: 7, t: 9}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 3*q**3 + 6*q**2 + 7*q + 6. Suppose 2*x = -4*v - 24, -1 = 2*x + 3. Let n be g(v). Let j = n - -673. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -18*k**3 + 3*k**2 + 2*k - 3. Let q(m) = -19*m**3 + 2*m**2 + 2*m - 2. What is -3*q(i) + 2*t(i)?\nAnswer: 21*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 293*x - 293*x + 29*x**4 - 31*x**4 - 5 - 2*x**2 - 165*x**3 as p + s*x**2 + q*x**4 + l*x**3 + t*x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -54 - -49. Put 0.3, h, -0.1, -3 in decreasing order.\nAnswer: 0.3, -0.1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 7 + (12 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8 and 137.\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10819 or 10820?\nAnswer: 10819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2889 + -26051\/9. Let y = -9752 - -146338\/15. Calculate the common denominator of y and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1500*f**2*o - 23*f**2 - 4*f*o - 84*f - 6402*o - 8836 wrt f?\nAnswer: 3000*f*o - 46*f - 4*o - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 145*j + 77*j + 120*j.\nAnswer: 342*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 7, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*s**4 - 189*s**3 - 21823*s**2 - 8703429*s - 1 wrt s?\nAnswer: 24*s**2 - 1134*s - 43646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 - 77 = -2*g. Suppose 2*z - 10 = 7*z. Let p = g + z. What is the greatest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 - 12*u**2 + 13*u + 2. Let m be 115\/(-9) - 12\/54. Let r be i(m). What is the third biggest value in 0.4, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 791 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the first derivative of -13*d**2\/2 - 2*d + 63. Give h(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -58 + 58 - a**2 + 3*a**3 in the form m*a + x*a**2 + g*a**3 + i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 180 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s - 2. What is m(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*x + 6*x - 16*x + 8*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/5 smaller than 2\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -684 bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, f: 1, c: 1, e: 2, p: 2}. What is prob of sequence pf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*q - 11*q - 4*q)*(-11*q - 67*q + 8*q).\nAnswer: 1960*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 13588*i + 10215*i - 7421*i - 438342 = -2584384 for i.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3168270 and 211218?\nAnswer: 3168270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 5 = 7*g. Solve 5*h = -26 + g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 - -0.03?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2336134737 to the power of 1\/3, to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 48*j**3 + 3*j**2 + 43*j + 1. Let a(v) = 2*v**3 - v**2 - 1. Let x(l) = 3*a(l) + i(l). Find the second derivative of x(o) wrt o.\nAnswer: 324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k = -k - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6*1\/(12\/32). Let d = f - 12. Solve -d*u = 2*n + 14, -3*u - 2*u - 24 = -4*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1212300 (base 4) to base 13\nAnswer: -2cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -50505 + 11891?\nAnswer: -39724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -212022213?\nAnswer: 212022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*h + 11 = 16*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i**4 + 3*i**4 + i**4 + i**4 - 2*i**2 + 2*i**2 + (5*i**3 - 5*i**3 + i**3)*(-i + 8*i - i) + 5*i**4 - 4*i**4 - 2*i**4)*(40*i - 84*i + 49*i).\nAnswer: 40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 + 25*t**2 - 3*t - 5. Let o be y(-21). Suppose -8*j - 414 = -o. Suppose 4*b - j = -0*b. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2. Let d be 4\/((17 - 15)\/(1 - 0)). Let o(l) = -12*l**2 + 46*l**2 + l**d. Calculate o(t(h)).\nAnswer: 35*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 12*m + 350. Let p be 2*m + (1 - -2)*1. Let b = -36 - p. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**2 - 6*a + 4. Let z be s(-6). Let j = -240 + 130. Let h = j - -128. Solve 4*n - 3*t = -t + 18, -z*t = n + h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((2\/(-9))\/1)\/(26\/(-39))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3, 0.3, 2\/13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6870 and 36930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 4*w - 93 = 0, 2*h = -2*w - 247 + 309 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 - -4.9. Suppose 21*l = 19*l - 6. Which is the third biggest value? (a) l (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -41*c**5 + 3*c**4 + 40*c**2 + 3*c + 3. Let u(x) = -x**5 + x**4 + x**2 + x + 1. Let v(i) = j(i) - 3*u(i). What is the third derivative of v(s) wrt s?\nAnswer: -2280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**2 + 11*s - 8. Give a(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 2*n**3 + 665*n**2 + 1647*n + 216485. Determine f(-331).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -127, -180, -233, -286, -339, -392?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72598?\nAnswer: 2, 36299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-36)\/(-15) - 4\/10. Suppose -h*u + 15 = 1. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**2 + 3*o + 70. Let c be d(-7). Solve 3*v + 9 + 6 = c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-11)\/154)\/(2\/(-16)). Let 0 + 2\/7*u**3 - q*u - 2\/7*u**2 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 5*q**3 + 21*q**2 + 24*q + 40. Let z(p) = -9*p**3 - 40*p**2 - 49*p - 80. Let l(j) = 7*i(j) + 4*z(j). What is the tens digit of l(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 3 - 33 = 0. Let r = 21 - w. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*m - 3*m - 3*z - 2343, -2*m + 4*z = -1552. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5202345 divided by -3?\nAnswer: 1734115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2704606 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: Expand (-52*x + 30*x - 6*x - 110*x)*(-8 + 5 - 3).\nAnswer: 828*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -3*b**2 + 31*b - 31. Calculate q(14).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) 77.2446 (c) 0 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000122945 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2 > -0.297551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - 1) + (-7 - 4 - -3) + (39 - 4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (6 - 3) + -3 - (-28 + 18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fxx when three letters picked without replacement from wxxxwxxfwwf?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -647 - 2490. Sort 0.2, -1\/2, 3, 5, x in decreasing order.\nAnswer: 5, 3, 0.2, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*y + 2*y - y)*(-4 + 4 + y) + 0*y**2 + y**2 + y**2 - y**2 - y**2 - y**2)*(27*y**2 + 8*y**2 - 2 + 24*y**2).\nAnswer: -118*y**4 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ki when two letters picked without replacement from ktnqtinttqittqnq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 5621, 11319, 17011, 22697, 28377, 34051?\n\"Answer: -3*y**2 + 5707*y - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3308662 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -30.8 + 37. Let w = 1.2 - o. Put w, -14, -2\/19 in descending order.\nAnswer: -2\/19, w, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11067 - -150988035.\nAnswer: 150976968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 5*b**2 - 64*b + 32. Let z be o(12). Which is smaller: z or -11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 5*w - 6 = 0, 45*w + 12 = -5*q + 44*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5897776*r**3 - 410515*r**2 + 2.\nAnswer: 35386656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -25015437.504195 - -25015301. Let u = 136.5 + i. What is u rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 31*h + 2. Let g be t(2). Suppose g = 3*v - 5*i, -5*i + 2*i - 16 = -v. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/656 and 77\/1083876.\nAnswer: 4335504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59 = -2*v - g + 90, 3*v - 211 = g. Let p = 73 - v. Solve 0*m - m + p = -x, -5*m - 11 = -x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + -1. Let w(i) = i - 2. Let c be w(0). Let v be c\/8 - (3 + -3). What is the closest to y in -2, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = -c + t + 5, 0 = t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 115 and 9.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2998 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: In base 15, what is 1 + 571e?\nAnswer: 5720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (213\/(-2485))\/(342\/21945).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -944*c + 555*c + 393*c. Let q(o) = -285*o. What is q(i(h))?\nAnswer: -1140*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -3*w + 2*x - 2, 5*x - 23 = -2*w. Suppose 4*o = 4*d - 36, o - 37 = -w*d + 4. Calculate the greatest common factor of 35 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + 7*(-182)\/49?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.09 + 6.91. Let i = w + -7.00033. Round i to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r**3 + 4*r**2 + 5*r + 2. Suppose 15*z - 13*z - 8 = 0. Let g be i(z). Let o be (3\/g)\/(8\/(-14)). Which is the biggest value? (a) o (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-15))\/((-12)\/30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:38 PM and 9:41 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 165 divide 1390620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1790*u + 1764*u + 1976 = 0. What is the highest common factor of 13832 and u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 PM and 2:01 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.48596 - 0.98596. Let w = 1.1 + -0.1. What is the third biggest value in 63, w, -1\/6, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 48*z. Let j(p) be the second derivative of p**5\/60 + 25*p**2\/2 + 3*p - 4. Let a(f) be the first derivative of j(f). Determine g(a(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (125 - 68 - 19)*(-c**4 + 4*c**4 - c**4)*(3 - 2 - 2) to i*c**2 + f + n*c**3 + k*c**4 + w*c and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 divided by -17.\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -2082906 divided by 148779\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (8\/2)\/((-1)\/14). Let k = 112 - l. Calculate the greatest common factor of k and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 4513, 4538, 4585, 4660, 4769, 4918?\n\"Answer: a**3 + 5*a**2 + 3*a + 4504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (48\/(-30))\/((-12)\/5 - -2). Is (-4 + 7 - m) + 1 + 2609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zrtzzrrwwtr. What is prob of picking 1 t, 1 r, and 1 w?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.802*69.\nAnswer: 55.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -70816, -70832, -70848, -70864, -70880?\n\"Answer: -16*m - 70800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -51 + 21. Let z be (-2)\/(-4) - (-21)\/l. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -392*l**2 + 8*l + 6. Let u be f(-5). Let z = -98419\/10 - u. Let v = 52 - 461\/8. What is the common denominator of v and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/(-3) + (-2)\/(-6). Suppose 119*s - 470 - 2029 = 0. Solve -s = 3*g + 3*i, 4*g + 0*i + 16 = n*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 529 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -131 = 49*z - 425 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**2 - p. Let c be l(-2). Let h = 6 + c. What is the tens digit of (-20)\/(-2) + (5 - h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(2\/39))**(-5\/3)*y**(-7\/2)\/y**(3\/4) assuming y is positive.\nAnswer: y**(-2029\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2593 + -1?\nAnswer: -2594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*j**3 + 68*j**2 + 40*j - 36.\nAnswer: -4*(j - 9)*(j + 1)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 395 + 100 = -5*c. What is the remainder when 258 is divided by 12\/(-9)*c\/2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -106.2 + 106. What is the nearest to 0 in b, -1\/4, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 9:52 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 6 - 2*q - 2 + 2*q**2 - 5. Let r = 3 + -1. Let k(u) = 4*u**2 - 5*u - 3. Calculate r*k(w) - 5*y(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -22*d + 4. Let v(p) = p. Let w(m) = k(m) + 3*v(m). Differentiate w(c) wrt c.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-30)\/(-18))\/((-3)\/9). Let f = 0.2 - -0.3. Let t = 0.9 + -1.1. Sort f, t, q.\nAnswer: q, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 171 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/7 + 1010*q\/7 + 13000.\nAnswer: (q + 100)*(q + 910)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -24 + -26*3*769\/(-1538)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 and (391\/(-136) + (-1)\/8)*-51.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrp when three letters picked without replacement from wrjrrwrrqwipjjwprjrw?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 393557 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*p + 2*x, -5*p + 0*x = 3*x + 16. List the prime factors of (p\/(-10))\/((-1)\/5)*-289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20085 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -68 plus 52798585?\nAnswer: 52798517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 - (-4 + -21) - -2. Suppose -5*r = 10 - v. Let g(p) = p**3 + 8*p**2 + p + 11. Let d be g(-8). Solve d*x + r = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 518 and 35298?\nAnswer: 247086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12 + 12.052. Let j = -0.0358 + l. What is j rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 0, 20, 66, 150, 284?\n\"Answer: 2*a**3 + a**2 + 3*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 + -38e9b?\nAnswer: -38e9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 4*t = 278, 133 + 288 = 3*i + 4*t. Is 144 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -55\/3766 and -67\/13450.\nAnswer: 94150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 + -1000?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -3.0613302 rounded to 3 dps?\nAnswer: -3.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 1.94750349 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 PM and 5:26 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the second derivative of 0 - 16*s + 9*s**2 + 789997\/6*s**3. Let v be w(6). Round v to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 10*g + 216. Let o be h(-18). Calculate the greatest common divisor of o and 240.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/79 in -2, -3\/5, -2\/13, 1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16302 and 51186?\nAnswer: 7319598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 7\/22, 284, -1\/144, -0.1?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2465542\/613 - 2932150451\/49040. Let p = 63814 + s. What is the common denominator of p and -73\/70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y*y**14))**10*((y\/(y*y\/(((y*(y**(3\/14)*y)\/y*y)\/y)\/y)*y*y)*y)\/y)\/(y*y\/(y\/(y*y*y**17*y))) assuming y is positive.\nAnswer: y**(-2293\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 999, 841, 669, 477, 259, 9, -279?\n\"Answer: -c**3 - c**2 - 148*c + 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 485419229 to the power of 1\/2, to the nearest integer?\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 - ca2?\nAnswer: -ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -63403 (base 9) in base 3?\nAnswer: -2010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, v: 6, f: 2, s: 3}. Give prob of picking 1 s, 1 f, 1 v, and 1 n.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -103 + 105. Suppose 4*j + 3*o = -1081, 2*o - 284 = 3*j - c*j. Round j to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12132 and 4867965.\nAnswer: 19471860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110020 (base 3) to base 9.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (3*sqrt(448) - sqrt(448)) + 0 + sqrt(21)\/((sqrt(180)\/sqrt(6))\/sqrt(10)) + 3.\nAnswer: 5 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 - 7*z**2 - 9*z + 8. Let n be r(8). Let h be 1 - n*(-1)\/2. Let t = h - 15. What is the common denominator of t and -131\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -385*q - 191*q + 110*q.\nAnswer: -466*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 3*y**2 + 18*y - 87. List the prime factors of t(21).\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (11\/33)\/((3 - 5)\/(-11694)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 5*o + 0*o = 15, 0 = 4*w + o - 43. Suppose 4*s + 2*g - w = -0*s, -s + 3*g = -13. Suppose 5 = 3*j + 2*j - 2*q, -s*j + 5*q = -4. Is 1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 871 - 1689\/2. Find the common denominator of s and -49\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -248 + 389. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30985296 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 + q**2 + 4*q - 1. Let y be o(-2). Suppose y*r + 3*p = -0*p + 15, 2*p + 8 = 4*r. Let h(z) = -1 - z**2 + r*z**2 - z - 3*z**2. Calculate h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 1 = -d. Let u be (d\/4)\/((-1)\/28). Let l be (u - -2)\/(6\/(-4)). Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/3 + 33790*z\/3 - 285441025\/3.\nAnswer: -(z - 16895)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -175.8 times -1?\nAnswer: 175.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 475, 485, 501, 523?\n\"Answer: 3*v**2 + v + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2802202043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 + 9*n - 10. Let g(b) = -3*b**2 + 28*b - 31. Let v(t) = 4*g(t) - 11*p(t). Let f be v(10). Let c be (1\/(-4))\/((-4)\/f). Solve -r - c = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 456893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*h**3 - 60*h**3 + 14*h**3 + 19*h**3.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 1 + 0)*(0*t - t**2 + 0*t) - 3*t**2 + 2*t**2 - 2*t**2 - 5 - 3*t.\nAnswer: -6*t**2 - 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 51262987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 785 a factor of 396425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-70)\/21*(-18)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 197418 divided by -2\nAnswer: -98709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -122 - 10011?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -10*r. Let z(i) = -2*i**2 + 3*i. What is z(p(y))?\nAnswer: -200*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(325))*1)**2*-1.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 16 = 2*f - o, -4*f = 4*o - 56. Let s(g) = 476*g + 2403. What is the remainder when s(-5) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 26703, 53479, 80253, 107025, 133795, 160563, 187329?\n\"Answer: -n**2 + 26779*n - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 + 2*d**2 - 4*d - 5. Does 15 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 306 a factor of 126684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4649166 is divided by 2324576.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 55371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1632, -1821, -2136, -2577, -3144, -3837?\nAnswer: -4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -849, 1389, -14, 2 in decreasing order.\nAnswer: 1389, 4, 2, -14, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9\/(-15) + (-13 - (-2114)\/165)\/(20\/(-180))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*h - 34*h = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12837407?\nAnswer: 11, 19, 239, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000014071323 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * -349803.\nAnswer: 139921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-10)*(-3)\/((-72)\/(-16))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 5, z: 3, w: 2, q: 2}. Give prob of sequence wgwz.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22 - -28. Let h(n) = n + 1. Let p(w) = -12*w - 6. Let y(q) = t*h(q) + p(q). Let k(g) = g**2. What is k(y(x))?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 + 4. Suppose 3*k - 15 = h, -7 - 18 = -5*h - 5*k. Let y be d(h). Solve 0*p + p = y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((5 - 4) + 1)*(-1 - 0). Let y be 204\/26 - (4\/13)\/r. What is the units digit of 3 + -1*y*-5*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.74 - 105.74. Let s = m - -103.1. What is the fourth biggest value in -1\/7, 0.3, -0.7, s?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 1 + 36*x + 11*x to the form w*x + z and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 651 is divided by 314?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1035870 divided by -6?\nAnswer: 172645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ojiooooiojhhhijhhihh. What is prob of sequence joi?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(336)\/(6*(sqrt(12) - sqrt(192)))*-2)**2*6.\nAnswer: 56\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uggguugggygguuuuu. Give prob of sequence ugu.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-519)\/6055)\/(((-168)\/(-84))\/((-7)\/2))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 8. Let n = d - 7. Let o = -31\/87 + 2\/87. Which is bigger: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -2*k + 9. Let g be s(-7). Let f(v) = -3*v + 57. What is the smallest common multiple of f(17) and g + (-1 - -4)\/(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5218 + 5283. Calculate the remainder when 2272 is divided by v.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 21352192*i**3 - 29320067*i**2?\nAnswer: 128113152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -h**3*n**3 - h**3*n**2 + 557*h**3*n - 3*h*n**3 - 7422*n**3 + 67 wrt n?\nAnswer: -6*h**3 - 18*h - 44532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -3, 2, 82.\nAnswer: -25, -3, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -253*j - 264*j - 42336 = 38*j + 201*j for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*g - 15*g - 47 + 20 - 15*g - g + 28.\nAnswer: -20*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.1974 * -0.01.\nAnswer: 0.031974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**3 + h**2. Let s(k) = 7*k**3 - 4*k**2. Give 5*s(v) + 20*w(v).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.582 - 5.5817076. What is h rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*z - 24 = -24*z. Solve 4*c + 2*k + 20 = 0, -2*c - 10 = k + z*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25.833 + 29.833. Which is the fifth biggest value? (a) 0.1 (b) -0.2 (c) 3 (d) -1 (e) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -3*v**3 - v**2 - 2. Suppose -4*a + 794 = 730. Calculate the least common multiple of a and d(-2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2457 divide 11304657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8229239 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 159, 275, 389, 501, 611, 719?\n\"Answer: -t**2 + 119*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -2\/7, 13590, -3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 13 - 19 - (-46 + -3). Put w, 5, -2, -4, -5 in descending order.\nAnswer: w, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**6\/(m*m*(m**(-5)*m)\/m*m*m)*(m**(3\/2)\/m)\/(m\/(((m*m**(-2)\/m)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -126 (b) -4\/7 (c) -6 (d) 2\/13 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 33*y**2 - 39*y - 51. What is f(34)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor f**2 - 6144*f - 6145.\nAnswer: (f - 6145)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = -5 + 10. Suppose u = -4*g + 138, g - 2 - 43 = a*u. Suppose 0 = -j - 2*n + g, -2*j - j = -3*n - 60. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t = 3*n - 99, -443086*t + 3*n = -443084*t + 119 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 3*p - 210. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/((-9)\/12)*6\/4. Let f(v) = -1 - 1 + v**2 + s. Let q(h) = 3*h. Determine q(f(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 2*u**2. Let s be -5*(-5)\/(50\/4). Let g(i) = 2*i**2 + 2*i**2 - 2*i**s. What is g(p(b))?\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 4 - 4 = -4*l, l - 2 = -2*m. Let x be 9\/(-2)*20\/(-15). Let r = x - m. Calculate the greatest common factor of 48 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + 1. Let p be (-95)\/4 + ((-27)\/(-12))\/(-9). Calculate the remainder when ((-208)\/p)\/(1\/c) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-436583)\/8084 + 54)*(-4 - 0).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -153 + 151. Let k be 20\/6*c\/(-4). What is the nearest to 0.2 in k, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/1840 and -29\/3220?\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2198504 to four dps.\nAnswer: -0.2199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((sqrt(5) + sqrt(60)\/(-1*sqrt(12)) - sqrt(5))**2 + (1*sqrt(5))**2 + 0)*6 + 5 + 0 + (sqrt(80) - -1*sqrt(80)*-2)**2 + sqrt(80).\nAnswer: -215 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*k = -741556 + 740968 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 3 + sqrt(200) + -1 + -1 - (-2 + ((1 + sqrt(2))*-6 - (sqrt(72)\/sqrt(6))\/sqrt(6))).\nAnswer: 10 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -5 + 4. Let c be 681\/(-9) + p\/(-3). Is c\/6*(-1 + -5) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 60 = g, -8*g + 11*g - 3*d = 60 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (t + 3*t - 2*t)*(1 + 4 - 3) - 167 + 6*t + 167 - 25*t + 2 - 2 - 8*t.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - f - 14 = -0*f, 0 = -f + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2705 and 15?\nAnswer: 8115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -17 - -39. Suppose 3*q - 3 = 3, -28 = -4*n - 4*q. Suppose 83 = n*h + 33. Calculate the least common multiple of a and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1039642, 2079277, 3118912, 4158547?\n\"Answer: 1039635*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2178916, -2178895, -2178878, -2178865, -2178856?\nAnswer: -2178851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4.073 + 0.073. Which is the smallest value? (a) t (b) 4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 6*y = 63. Let c(v) = 10*v + 7. Let o be c(y). Let m = o + -64. What is the remainder when 90 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1\/(2\/178) + -2 is divided by 20*((-11)\/165)\/(6\/(-108))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:37 PM and 7:21 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 0.6, 7\/2, -1 in increasing order.\nAnswer: -1, 0.1, 0.6, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-31)\/(-217))\/(13\/(-14) + 1). Let m be 23\/5 + 4\/10. What is the third derivative of -7*h**m + 10*h**2 - 19*h**2 + 18*h**n wrt h?\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 5*k = 5, -2*s - 4*k = 2*s + 20. Let u = s - -53. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8642811 and 387570.\nAnswer: 86428110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2254*n**3 - 7*n**2 - n + 3. Let u(v) = -2255*v**3 - 10*v**2 - v + 4. What is -4*d(b) + 3*u(b)?\nAnswer: 2251*b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2635 or 3379?\nAnswer: 3379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**2 - 8*c + 9. Let l be p(7). Let z(m) = 10 + 0*m + 6*m + m - m**l. Let x be z(6). What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 1118453.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -19 - -24. Suppose -4*c = d + 2, -4*c + 4 - 14 = x*d. Is 0 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that 0 + 0*l + 2\/17*l**4 + 4\/17*l**3 + 2\/17*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that 3*v**3\/5 + 36*v**2\/5 - 3*v\/5 - 36\/5 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2 + 4*((-1 + sqrt(108))*3)**2 + -4 + -2.\nAnswer: -432*sqrt(3) + 3917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sd when two letters picked without replacement from dnnnsnssnsn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -2*c**2 - c - 2. Let b be p(-2). Let y = b + 25. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5081.636 millennia?\nAnswer: 60979632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -27? (a) -34 (b) -0.66 (c) 2\/15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - j - 228 = 0. Let i = j - 40. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -448 (base 10) to base 6.\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 * -0.02776.\nAnswer: -0.008328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.07 or 706?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -18*q - 15*q + 0*q - 14*q to x*q + b and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 55 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1477 * -8603.\nAnswer: -1270.6631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -6*f**3 - 37*f**2 + 23. Calculate k(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + 0 + 2 + (21 - (26 - 8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 22606916 + -38396916. Round b to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10623026 is divided by 396.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2831 and 4?\nAnswer: 11324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 22740323 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the first derivative of 3\/5*t**5 - 2 + 0*t**3 - t**2 + 0*t**4 + 0*t. Find the second derivative of o(y) wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 - 73 + 23 - 16 - 12*r**3 + 28 + 23.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 81468038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {t: 4, x: 1, k: 1, c: 2, h: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*z + 42 = 13*z. Suppose -8*p + z*p = 0. Suppose 2*n - 272 = -4*x - 2*n, -5*x - 4*n + 342 = p. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 19 * 838545\nAnswer: 15932355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8528155.2 take away 6?\nAnswer: 8528149.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from deoeorrogdrrrorrog.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-64)\/10 + (-2)\/(-5). Let l(t) = -t - 3. Determine l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 107, 107, 103, 95, 83, 67?\n\"Answer: -2*l**2 + 6*l + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((c - 3 + 3)*(2 + 2 - 3) + 19 - 19 - 15*c)*(4*c**2 - 2*c**2 - 3*c**2) to f*c**2 + q + p*c + o*c**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -67 in -1, -0.1, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 19972, 19968, 19964, 19960, 19956?\n\"Answer: -4*l + 19976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-45)\/(-27) + 27\/(-15). Let a = 23 + -25. What is the nearest to -1\/4 in 0.2, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15159913*i**3 + 139111749*i**2 wrt i?\nAnswer: 90959478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -7*l. Let z(t) = 114*t. Let j(v) = -99*n(v) - 6*z(v). Let q(h) = 6*h. What is q(j(k))?\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*x - 136 = 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 4*m = -a + 8, 5*m = -3*a + 37. Suppose 0 = -a*t + t + 9. Suppose -t*b = -b + 260. Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u - 35 = -140. Calculate the greatest common divisor of u and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.11 in -4, 5, -36, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2359 - -2679. Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 3 = -11. Let t be ((-8)\/28)\/((-18)\/u). What is the closest to t in -0.3, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/((429\/77)\/(-13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 133\/2670 and 109\/71200?\nAnswer: 213600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 399*u. Let z(y) = 120*y - 53*y - 66*y. What is m(z(h))?\nAnswer: 399*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 0*h + 4*c = 4, -5*h = 2*c - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ia when two letters picked without replacement from {a: 1, f: 4, p: 6, w: 2, i: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Is 1591559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5364024 and 5724.\nAnswer: 48276216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 29 and 202.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 12, c: 1}. What is prob of picking 4 e?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j = j + 5, -5*m = 4*j - 29. Let r = 72 - 61. Suppose -m*y - r = n + 12, 5*y + 35 = 5*n. Solve t = 4*t - 3*p - 3, n*p + 26 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 4) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 77 (base 8) to base 16.\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -167 + 203. Calculate the lowest common multiple of y and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6212998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*s**3 + 13*s**3 + 0*s**3 + 3*s**2 to n*s**2 + g + u*s + b*s**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (1302\/(-1085))\/(3\/(-2))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 = z - 301. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 3221412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 7*j - 5. Let b = 2 + 0. Let u(a) be the second derivative of 0 - 5\/3*a**3 - b*a + 7\/2*a**2. Give -7*n(r) - 5*u(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 2 = -m. Let o(v) = v**2 + 2*v - 3. Does 5 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 197, 207, 219, 233, 249, 267?\n\"Answer: i**2 + 7*i + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 - t**2 - t. Let k be (30\/(-18) + 1)\/(1\/3). Determine m(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -j**2*q**2*r - 7*j**2*q*r - 2*j**2*q + 5*j*q**2 - j*r**2 + 23*q**2*r**2 + q*r**2 wrt q.\nAnswer: -2*j**2*r + 10*j + 46*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0497039785 to 6 decimal places.\nAnswer: 0.049704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*z + 68*z - 22976 = 0. What are the prime factors of z?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 2189.53 days?\nAnswer: 189175392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = 0, 6 = -z - 3*g - 0*g. Let f be -1 - -6*(-3)\/z. Let d(t) = -f*t + t + t + 2*t. Give d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1+3001490\nAnswer: 3001489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -41248800 rounded to the nearest one hundred thousand?\nAnswer: -41200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19\/(-38)*(-200)\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 897487322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 0.2, 0, -6.\nAnswer: -6, 0, 0.2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express t - 2*t**4 - t + (28 + 7*t - 31 - 4*t**4 - 8*t)*(0 - 2 + 1) as k + r*t**3 + w*t**2 + l*t + j*t**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/d**(8\/11)*d)**(2\/17)\/((d\/(d\/(d\/(d\/d**(-12)))))\/(d*d*d**0)) assuming d is positive.\nAnswer: d**(2668\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from littltpppt. What is prob of picking 2 p and 1 i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2854208 rounded to the nearest one thousand?\nAnswer: 2854000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -56*o**2 + 34*o**2 - 11*o**2 to c*o**2 + f + n*o and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 50759 = -2304*r + 247300 + 31555 for r.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -189*k + 666. Is 6 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124703 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the third derivative of -1\/15*m**5 + 1\/6*m**4 - 1\/120*m**6 + 0*m + 1\/6*m**3 - 10*m**2 + 0. What is the remainder when j(-5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 2128830\nAnswer: 2\/1064415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -9*h**2 - 28*h + 2. What is a(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 97090706467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 120\/(-96) - (-18243)\/12 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 961009 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*b = -33*b - 8, 12 = c - 3*b for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3\/251 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -237*g**3*q - 2*g**2*q + g**2 - 18*q wrt g.\nAnswer: -1422*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r**2 + 10*r - 6. Let n be t(6). Calculate the lowest common multiple of (-108)\/(-5) - (-6)\/15 and (3\/9)\/((-1)\/n).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 778 - 773. Solve c*y = -3 + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2 (b) 1 (c) -3\/1853953\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gay when three letters picked without replacement from {g: 1, y: 1, a: 1, u: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2))**(-5\/2))**(-2\/27) assuming p is positive.\nAnswer: p**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f**4 - 3*f**4 + 2*f**4)*(4*f - f - 4*f + (-f + 4*f - f)*(-3 - 2 + 4)).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-3)*(-10 - -16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from yyyppngnygppgyy.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -41, 160.\nAnswer: -41, 6, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -161\/5 - -639\/20. Sort -1\/240, 5, x.\nAnswer: x, -1\/240, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11*606.\nAnswer: 6666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 + 11*f + 3. What is v(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 7*c**3 - 6*c**2 - 5*c + 6. Suppose 4*o + 0*o = -24. Let f(s) be the first derivative of -s**4\/4 + s**3\/3 + s**2\/2 - s + 31. Calculate o*f(b) - l(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -4*s - 12, 5*m - 7*s = -6*s + 3. Solve -33*i + 30*i - 15 = m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 920.7723 rounded to the nearest ten?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000149856593 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -30*v - 29. Let d be a(-4). Let w be ((-26)\/d)\/(1\/7). Suppose -s - 3*o - 11 = 0, 0*o - 2*o - 2 = -2*s. Is w bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 283*r. Let d(q) = -7*q. Determine p(d(y)).\nAnswer: -1981*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22330 and 56980?\nAnswer: 1652420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0 (b) -1\/3 (c) 5 (d) -18205 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*((-6)\/(-2))\/27.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 274.4945379 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*a - a - 4*a)*(-22 + 3 - 2) - a - a + 4*a.\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -230.56858 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 12408922*-0.1\nAnswer: -1240892.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.933 - -0.067. Let r = -0.3 - -0.1. Put r, b, -1\/3 in ascending order.\nAnswer: -1\/3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(112)\/sqrt(4))\/sqrt(2))\/(-5*sqrt(112)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 700 and 15628795?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -2*l - 27. Suppose 5*t = 4*q - l, 5*q - 13 = 3*q + 3*t. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of 9*h**5\/10 - 91*h**4\/24 - h**3\/6 - 307*h**2. What is the second derivative of g(c) wrt c?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 371331 is divided by 2846.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 642130531.9999969 + -642130565. Let y = -33 - c. What is y rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j - 4. Let q be k(3). Let i(b) = -b**2 - b**2 + 1 + 0 - 7*b**3. What are the prime factors of i(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(48)\/(sqrt(4)*-2) - sqrt(12))\/(sqrt(600)*-2).\nAnswer: 3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 3*t - 10. Let c be o(5). What is the nearest to 1\/3 in c, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1451321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-2) - (-3788*12\/528 + (-20)\/22).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -5*x**2 - 4*x + 18. Let s(w) = -10*w**2 - 7*w + 33. Let u(b) = 11*r(b) - 6*s(b). Let h(o) = 4*o**2 - 2*o + 1. What is -3*h(q) + 2*u(q)?\nAnswer: -2*q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.10123*-61.\nAnswer: 6.17503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:48 PM and 11:50 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 91667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 11859, 23721, 35583, 47445, 59307, 71169?\n\"Answer: 11862*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -110*d**3 + 825*d**2 + 495*d - 395. Let w(s) = 10*s**3 - 75*s**2 - 45*s + 36. Let y(i) = -4*h(i) - 45*w(i). Factor y(g).\nAnswer: -5*(g - 8)*(g + 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vc when two letters picked without replacement from {v: 2, c: 4, u: 8}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 34448 (base 12) to base 4.\nAnswer: 101001320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -205.69185 to two dps.\nAnswer: -205.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 14400 = 1229*v - 429*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 378758463?\nAnswer: 3, 293, 430897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2143 - -2139. Let x(y) = y**2 - 6*y - 38. Determine x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6116.\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 474133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 - 15*o - 38. Let i be q(17). Let g(k) be the first derivative of -1\/3*k**3 - 1 - k - 7\/2*k**2. Give g(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3484*w - 81175 + 8026 - 6926 - 115029 = 0 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 36 = l, -9*q - 80 = -5*l - 4*q. Factor -l*t + 13*t - 16*t + 1060*t**2 - 1061*t**2.\nAnswer: -t*(t + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 539200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 252 + -159. Suppose 0 = 89*w - a*w + 2320. Calculate the greatest common factor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 46? (a) 4 (b) 39 (c) -82\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -3*y - 2*l + 119, 5*y + 5*l - 205 = 0. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 2*m - 48. Suppose -38*j + 34*j + m = 0. Suppose 3*y - 5*w + 12 = j, 3*w - 3 = 3*y. Solve 5*n - 44 + 18 = -4*l, 0 = -2*l + 5*n - y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 628 and 1793411?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j, 1 c, and 1 g when four letters picked without replacement from {c: 1, f: 2, g: 1, j: 2, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5620*b - 23 - 26 + 92 - 23 - 22.\nAnswer: 5620*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -3*k + 351, 11*f = 6*f - 4*k + 582. Calculate the highest common factor of 1824 and f.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 2*f - 2, -328*q + 9 = 3*f - 329*q. Solve -141*k + 137*k = -f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2904*u + 35525 - 35525 to h*u + s and give h.\nAnswer: 2904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 600 and 2570.\nAnswer: 154200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {a: 5, j: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.8? (a) 4\/5 (b) 0.09 (c) 1\/4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**2. Let c(n) be the first derivative of -n**3\/3 + 4. Give c(s(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 26*s + 20. Let g(h) = 336*h + 254. Determine 76*d(x) - 6*g(x).\nAnswer: -40*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 11 = 9, 0 = -5*s - o + 351. Suppose 0 = 5*k - 2 - 78. Let g = s + k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5837075 is divided by 7963.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5754 + -3298. What are the prime factors of i?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -120 - -112 - (1 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 22211312 (base 4) to base 7.\nAnswer: 240323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 14*o**3 - 954*o**2 + 124*o + 766. Determine t(68).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, -74, 0, -7, -12, 50 in descending order.\nAnswer: 50, 2, 0, -1, -7, -12, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes before 1:48 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, h: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = -5*i + 2*b, -2*i = -16*b + 13*b - 17. Let p(g) = g**3 - 18*g**2 + 30*g + 8. Give p(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n + 11. Let a be c(9). Let o(h) = 113*h + 2 - a - 122*h. Give o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (6 + -2 + -4)*(2 - 3). Let a(i) = -i**2 - 14*i - 5. Let d be a(-6). Suppose y = -2*g + 33 + d. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*k + 4 - 4 + 6 - k - 6 + (-1 + 1 - 2)*(0*k - 3*k + 4*k) + (4*k - k - 2*k)*(2 - 6 - 4) - 2*k + 2 - 2 in the form l + i*k and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2.465? (a) 4 (b) -27.39 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 - v + 1. Let x(o) = -o**3 - 6*o**2 - 6*o + 3. Let j(d) = -2*a(d) + x(d). Let k be j(-3). Let r = -3 - -8. Sort k, r, 0 in descending order.\nAnswer: r, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -175, -215, -269, -343, -443, -575?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2, -27, 0.\nAnswer: -27, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*d**2 - 20*d**3 - 2*d**2 + 5*d**2 + 0*d**2 - 4*d**2 + 13*d**2.\nAnswer: -20*d**3 - 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 2*n, 3*p = -2*p + 5*n + 15. Suppose 12 = p*f + 2. Solve 2*o - 3*o = -f*y - 15, 4*o = -3*y + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + -103e?\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -24, 1, 13576944 in decreasing order.\nAnswer: 13576944, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 328 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 586839, 1173672, 1760505, 2347338, 2934171?\nAnswer: 3521004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/(-4*(-18)\/(-27)*1\/4). Which is the closest to i? (a) -4\/7 (b) 89 (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9787*l**2*u**3 - 4*l**2*u**2 - 3*l*u**3 + 1706*l*u**2 - 3*l + 19*u**3 + 3*u wrt u.\nAnswer: -58722*l**2 - 18*l + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -14, -4062530, -1, 2, -3 in ascending order.\nAnswer: -4062530, -14, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -407, -1907, -4497, -8177, -12947, -18807, -25757?\nAnswer: -33797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.71 + 637552631.\nAnswer: 637552630.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 816747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 96 - 42. What is the lowest common multiple of 18 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -2*v + 60, -2*t - 13 = v - 52. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (117\/(-6) + 3)*8. Let d = 209 + f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (32404*w - 63287*w + 24188*w - 67084*w - 42193*w)*(-w + 2*w + 0*w) to o*w + a*w**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -24, -1\/4, -2\/9, 0.005.\nAnswer: -24, -1\/4, -2\/9, -0.2, 0.005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 + 14. Suppose 3*a = 9 + p. Let j(w) = 2*w**2 - 2*w - 7. Let d(t) be the second derivative of t**4\/12 - t**3\/6 - 3*t**2\/2 + t. Give a*d(i) - 2*j(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2130322 + 5531?\nAnswer: 2140253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 438 + 17?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 + 7 - -9) + (1 - 3) + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 11.9, 3, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 + 15. Suppose p + p = 8, -3*a + 26848765 = -h*p. Let n = -13549595 + a. What is n rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 8*r + 1. Suppose 2*j = -4*y + 10, y + 3 = j + 1. Let f(c) be the first derivative of -c**2\/2 - 18. Give y*k(t) + 6*f(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -117 + 120. Let f(w) = -2*w**2 - 4*w. Let q(v) = v**2 + 3*v. Let i(a) = g*f(a) + 4*q(a). Let o(p) = -3*p. What is o(i(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -8837820 divided by 2209455\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*v**3 + 219*v**2 + 279*v + 81.\nAnswer: 3*(v + 1)*(v + 9)*(7*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.0988, 2\/19, 8, 0.4, 3, 2\/7 in ascending order.\nAnswer: 0.0988, 2\/19, 2\/7, 0.4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 175 a factor of 19442518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -b**2 + 0*b**2 + 5*b**2 + (-4*b + b + 4*b)*(-9 + 5 + 8 - b) + (1 - 4 + 0)*(2*b**2 - 4 + 4) in the form c*b + g + a*b**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -41527*a = -41511*a - 80 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 684197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3350050432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-804)\/(-45) - (-6)\/45. Let x be (-2 - -1) + 110 - (o + -19). Let q = 115 - x. What is the highest common factor of q and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 5*j + 5. Let t be v(-5). Suppose -p - p = 4*l - 16, -3*l = t*p - 5. Is (-678)\/6*10\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0572925692 to four decimal places.\nAnswer: -0.0573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 - (2 - 1) - -14203. What is h rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + (-19 - -2) + 4 + 18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -132 + 377. Let t = -243 + g. Which is the third biggest value? (a) 0.4 (b) -4 (c) 4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 232523502 (base 6) in base 11?\nAnswer: 24a0765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.81112 decades in months?\nAnswer: 97.3344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o - 118 = 8*g, 234*o - 234*o + 42 = -3*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -4*x - 1. Let l be m(-4). Suppose 17*y = 12*y + l. Solve -4*g = v - 1, -y*g = 5*v + 2*g + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 4*n = -k + 150, -5*k + 267 = -n. Suppose -3*p + 17 = -25. Calculate the remainder when k is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -75 = 6*y - 5*o - 80, -3*o = -y + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2615150 divided by 10\nAnswer: -261515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s - 2*u + 18 - 2, 3*s - 3*u + 18 = 0. Let i be (10\/(-75)*5)\/(s\/(-6)). Is i at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32361030 divided by 234?\nAnswer: 138295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 4 = 5*n. Suppose -2*s = -s - 5*u, -s + n = -4*u. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6 - -9) + (1 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 2602860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 520 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -42*-33*(-29)\/2233?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 417*t + p - 17475 = 413*t, -5 = 5*p. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2088\/5 or -418?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -53 - -107\/2. What is the smallest value in -5\/3, -5, -3, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -64*k**2*m**2 + 278075*k**2 - 74*k*m**2 + 9465*k*m - 3*m**2 wrt k?\nAnswer: -128*m**2 + 556150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - 613?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -3418*x**2 - x - 12. Let z(n) = 6837*n**2 + 2*n + 26. Let i(v) = -13*g(v) - 6*z(v). Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 + (-1176)\/312 + 28.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 38 - 1693 = 0. Suppose 0 = -2*f + 2*w - 201 + 773, -2*f + d = -w. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9\/79018 or 1?\nAnswer: -9\/79018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2452, 4909, 7370, 9835?\n\"Answer: 2*t**2 + 2451*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-15) - 144\/(-1130). Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 2311574 divided by -6\nAnswer: -1155787\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1466, -4080, -6694, -9308, -11922?\n\"Answer: -2614*w + 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10436345504 - -2?\nAnswer: -10436345502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -785*l**3 - 5*l - 3. Let b(u) = 1575*u**3 + 11*u + 7. What is 5*b(d) + 11*g(d)?\nAnswer: -760*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 196980418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -95*i*k + 1383*i - 4*k + 1194553 wrt i.\nAnswer: -95*k + 1383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2324151 and 2384805?\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (19\/3*1)\/((-135)\/(-405)). Solve u*i = 17*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1532.781 and -81.\nAnswer: -124155.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 - -4. Let o(y) = 14*y - 17. Let g be o(1). Put g, a, 3 in decreasing order.\nAnswer: 3, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 + -8 + -4 - (-2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*2*6*1*sqrt(125).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.9907 - 0.2673. What is l rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1612.9 + 1613. Sort n, -287, -0.2, 1.\nAnswer: -287, -0.2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {r: 5, l: 3, f: 2, m: 1, z: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -435*z - 2426 + 251 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is a493 (base 15) in base 14?\nAnswer: c96c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40278 divided by 1.\nAnswer: 40278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 37 - 32. Calculate the remainder when 12 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/119 (b) -2 (c) -185\/98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 - -2820643527661.\nAnswer: 2820643527657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11793803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (-5 - (-5 + 7) - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3420 is divided by 239.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1\/4)\/w**(-5\/9) assuming w is positive.\nAnswer: w**(11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, 12, 23 in descending order.\nAnswer: 23, 12, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1054605886?\nAnswer: 2, 397, 1328219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 78268 and 32.\nAnswer: 626144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 - 2. Suppose 0 = 5*n - 2*d + 10, -n - 4*d - 2 = d. Let r be v(n). What is the first derivative of 0 + 0 + 2 - 2*o**r wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 672 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2217*m**2 + 12*m - 5. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.82*0.364.\nAnswer: -0.29848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - -14. Let u(k) = -k**3 + 5*k**2 + 13*k + 2. Calculate the smallest common multiple of 18 and u(s).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 4)*((7*u - 3*u + 33*u)*(15*u**2 + 56 - 56) + 4 + 2*u**3 - 4).\nAnswer: -557*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**2 - 9*c - 14. Let t be u(-6). Suppose 619 = t*h + 139. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.4 + -0.5. Let u = -0.43 - -0.03. What is the closest to m in -1, u, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -18 + 12 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 394654 and 4472?\nAnswer: 1578616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 28*o**3 + 43*o - 8. Let c(f) = -10*f**3 - 14*f + 3. What is -8*c(k) - 3*s(k)?\nAnswer: -4*k**3 - 17*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 11 - 3. Suppose r*f = f + 56. Suppose 19 = 2*z + 3. Calculate the highest common divisor of z and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iv when two letters picked without replacement from vimfzhf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 7642425410 + -3?\nAnswer: 7642425405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 + 113*w**2 - 42*w - 4747. Let x be i(-113). Which is the closest to x? (a) 3 (b) -10\/3 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1367 - 1367 - 19*v)*(7 - 2 + 2*v + 3 - 2).\nAnswer: -38*v**2 - 114*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**2 + 10*d - 30. Let b(r) = 3*r**2 + 62*r + 272. Let k be b(-6). Determine x(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 21 + -16. Solve -3*z = t*n, 5*n = -3*z + 7*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 326 + 2*w - 339 + w to the form q*w + c and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -2*c - c**2 + c**2 + 4*c - 2*c**2 + 5. Let u(x) = -x - 1. Let a(b) = 3*b**2 - 27*b - 34. Let m be a(10). Give m*u(h) - z(h).\nAnswer: 2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/185 and -59\/45.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/4)\/1*4. Let s be (-6)\/(-4)*(-4)\/q. Suppose 0 = -v - 0*v - 4*a - 9, 2*v = -s*a + 6. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 893 divided by 3.\nAnswer: 893\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5397000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 4026989518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 485 and 262490245.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -80 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -897986, -3592016, -8082072, -14368148, -22450238?\nAnswer: -32328336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**2 - 12*n - 63.\nAnswer: 3*(n - 7)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1123473*-3\nAnswer: -3370419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 26991, 30453, 33915, 37377, 40839, 44301?\n\"Answer: 3462*u + 23529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -90037, -90087, -90137, -90187, -90237?\n\"Answer: -50*z - 89987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 137538247 to the power of 1\/2, to the nearest integer?\nAnswer: 11728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -159, -319, -489, -675, -883, -1119, -1389, -1699?\n\"Answer: -m**3 + m**2 - 156*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 156471 = 166*z + 146013 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -7*o**3 - o**2 - 4*o. Let r(z) = 13*z**3 + 2*z**2 + 8*z + 1. Let w(n) = -6*r(n) - 11*s(n). What is the lowest common multiple of 3 and w(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38699 - 20749 = -24*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1\/2 + 1\/2*b + 39\/8*b**2 - 37\/4*b**3 + 35\/8*b**4 = 0 for b.\nAnswer: -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 0)*((-5 + 4 - 1)*(-k - 4*k + 0*k) + (18*k - 29*k - 4*k)*(0 - 2 + 3)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19\/6 + 17\/6. Let h be (58\/(-10))\/((-2)\/14). Let u = 41 - h. Which is the nearest to -0.1? (a) u (b) r (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 442, 445, 448?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 50*r + 357 - 657. Calculate the remainder when 42 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 965.3661 micrometers in centimeters?\nAnswer: 0.09653661","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/53, 43, -0.28445?\nAnswer: -0.28445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5377\/2756 - -29\/53. Find the common denominator of -109\/48 and s.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 28.21713um?\nAnswer: 0.00000002821713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -819, -821, -837, -873, -935?\n\"Answer: -j**3 - j**2 + 8*j - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 640a1 (base 11) to base 8.\nAnswer: 266141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 799 and 130.\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(-8) - (-114)\/(-392). Let y = 12\/49 - q. Let a = 33323 + -33317. Sort 0.5, a, y.\nAnswer: y, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 647 = -2*s + 657. Solve -9*h**3 + 12*h + 36 - 4*h**s - 2*h**5 + 21*h**4 + 2*h**5 + 0*h**5 - 57*h**2 + h**5 = 0.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2, 2, -1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 11aa857a - 8?\nAnswer: 11aa8572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4937353, 4937356, 4937361, 4937368, 4937377?\n\"Answer: m**2 + 4937352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -751*d**2 + 4432*d + 7 + 695*d**2 - 4432*d.\nAnswer: -56*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 4*s - 3*w - 20, 40*s + 11*w = 39*s - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 9428936\/40 - (-4)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 + -3. Solve -j*v - 38 = -13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -61.64 - -61. Let v = i - -0.84. Sort -0.2, v, 5.\nAnswer: -0.2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 111313210201 (base 4) to base 16.\nAnswer: 577921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g + 4. Let t be j(2). Let v be 1 + 122\/8 - 2\/8. What is the greatest common factor of t and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 69 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2519, -10071, -22653, -40259, -62883, -90519, -123161?\n\"Answer: i**3 - 2521*i**2 + 4*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/((2\/4*2)\/((-1612)\/124)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(288) + -2*sqrt(288))*-2)\/(3*sqrt(294)*1).\nAnswer: 8*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -56259*72.4.\nAnswer: -4073151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.1 - 0.2. Let s = -23361 - -186889\/8. What is the closest to o in s, -39, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 20 + -123444322?\nAnswer: -123444302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24, 31, 52, 93, 160, 259, 396?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 4 (c) -9 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9984 or -10163?\nAnswer: -9984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = -2*y - 8. Let h = 475 + -12823\/27. Let s = h - 13\/54. Sort s, 3\/2, y in increasing order.\nAnswer: y, s, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3673*i**4*q - 1323*i*q wrt i?\nAnswer: 44076*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112 + 390 = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1015)\/(-2436)*33\/(-5)*4\/(-22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15 + 58. Suppose 4*p + 54 = 5*o, 0 = -4*o + 5*p - 2*p + c. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -39561 and 0.1.\nAnswer: -39560.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-7)\/((-56)\/(-4)))\/((-8)\/(672\/21)))\/19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 412 * 8\nAnswer: 3296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 3*w + 2. Let d(h) be the second derivative of h**3\/3 + h**2 + h. Let l(c) = 5*d(c) - 6*q(c). Is l(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-10)*q**(-2\/7))\/((q*q**(1\/10)*q)\/q**10) assuming q is positive.\nAnswer: q**(-167\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -0.5 (b) 2\/9 (c) 9 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 + -10. Let b(d) = 10 + d**o + 3*d**3 - d**3 - 9. Let l be b(1). Solve 9 = 3*j - h, -l*j + 5*h = -18 - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 24*z**2 + 18. Let r(a) = -a**2 - 1. Let m(l) = 27*l**2 + 17*l - 9*l**2 - 22*l + 5. Let s be m(1). Determine s*r(q) + b(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -12*b**3 + 13*b**3 - 6*b + 7 + 23*b**2 - 28*b**2. Let u be (-6)\/(-5)*(5 + 0). Calculate f(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 17 - 27 = -4*n, -4*d = n - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1323 = 55*l - 48*l. Let j be (-25)\/15*l\/35. Which is greater: 1\/33 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -716\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rem when three letters picked without replacement from msmtmmemsersee.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/x**(-2)*x\/((x*x**(6\/7))\/x*x*x)*x*x*x**(-1)*x*x*x\/(x*x*x*x**(1\/5))*(((x*x**5)\/x)\/((x\/x**3*x)\/x))**30 assuming x is positive.\nAnswer: x**(7418\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**4 - 8*k**3.\nAnswer: 4*k**3*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*v**3 - 5*v**2 - 361 wrt v?\nAnswer: 9*v**2 - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + -3. Let n(v) = -15 + 33 - 18 - 3*v**2 - v. Give n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 360 is divided by 177.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 7909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 3510192223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -2145*o**3. Let n(r) = -37*r**3. Calculate 231*n(i) - 4*z(i).\nAnswer: 33*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 2 = -2*j, 2*j = 5*k + 7*j. What are the prime factors of (-1 - k) + -1 - -10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-50)\/2*((-156)\/91)\/(100\/70)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*w**4 + 15*w**2*z**2 - 10*z**2 + 3 wrt w?\nAnswer: -12*w**3 + 30*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 78 + 24.5. Let o = l + -81. Round o to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (26\/(-10) + -1)*5. Let w be 2\/9 + 16\/a. Let v = -170 + 168. Is w at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 8 - 17*y + 5 - 148*y**3.\nAnswer: -148*y**3 - 17*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 14*a**2 + 1425619*a + 4080923?\nAnswer: 28*a + 1425619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 8, w: 5, p: 4}. Give prob of picking 1 s and 3 w.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -185 + 88 + (-13 + -6 - -1) + 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3639.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/6*(-4 - -3). Let f(i) be the first derivative of 0*i**3 - x*i**2 - 1\/2*i**4 - 2 + 0*i. What is the second derivative of f(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*y - 65 - 783 = -30*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.09 - -5.09. Let d = 2.62786 - 6.62786. Sort d, r, 203 in decreasing order.\nAnswer: 203, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 16 = -6, 5*w - 5*g = 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 229404?\nAnswer: 2, 3, 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 18324403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + (1 - 1) - (-263 + 171)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 21 + -19.5. Let v = -8.5 + p. Let r = v + 7.5. Which is the smallest value? (a) -1 (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2552407811?\nAnswer: 61, 41842751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -74536 divided by 8?\nAnswer: -9317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1226849433 to the nearest integer?\nAnswer: 35026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4729518, -4729311, -4729104?\nAnswer: -4728897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -5520440 (base 9) to base 7\nAnswer: -34132014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 355738359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 3*o = -4, -2*t - 2*o + 0*o = -6. Let v be t - 3 - 22\/12. What is the closest to -0.1 in v, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6984 or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -29 + a + 8 + 9 + 15 in the form o*a + c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1762398 is divided by 46378?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/270 and 83\/1485.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 10*d**2 + 3*d - 18. Let k be v(10). Let z be (-9)\/k*28\/(-7). Solve z*g + 5*n = 4*g + 15, 2*n - 6 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 7) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**2\/5 - 646*j\/5 = 0.\nAnswer: -646, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 3 = 3*i + w, -5*i - 5*w + 5 = 0. Suppose -250 = -i*z - 3*z - 5*v, 2*z - 2*v - 88 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 PM and 7:18 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -34*r**4\/5 + 688*r**3 + 9934*r**2\/5 + 5212*r\/5 - 1248\/5 = 0.\nAnswer: -2, -1, 3\/17, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -22664*n + 22202*n - 1848 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -279294*c**3 + 140*c**2 + 10*c - 5?\nAnswer: -1675764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/5 + 603596*f.\nAnswer: -f*(f - 3017980)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*n + 51*n + 9*n + 62*n**2.\nAnswer: 62*n**2 + 55*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**3 + j**2 + j - 1. Let c(r) = r**4 + 14*r**3 + 1655*r**2 - 123*r + 1. Let m(g) = -c(g) - 7*z(g). What is the second derivative of m(n) wrt n?\nAnswer: -12*n**2 - 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of w**6\/33 - 12*w**5\/55 - 5*w**4\/11 + 40*w**3\/33 + 9*w**2\/11 - 28*w\/11 + 31. Determine l, given that a(l) = 0.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 4 + (0 + 1 - 3)*(3 - 2 + 2))*(7*w - 5*w - 4*w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = j - 1. Suppose -c - j + 11 = 0. Suppose c*u + 18 = 12*u. Calculate the least common multiple of u and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -217 + 516. Suppose 4*n - 297 - 183 = 0. Let y = k - n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(1573) + sqrt(1573) + (1*sqrt(1573) - sqrt(1573)))**2.\nAnswer: 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p\/p**0)**(2\/19))**(-6))**(3\/16) assuming p is positive.\nAnswer: p**(-9\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 90.2232l?\nAnswer: 90223.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 2*b + 5*b - 15 = 0, 4*b = 3*j - 5. Let c = -4.03 - -4. What is the closest to c in -3, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55501597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 5*i + 56 = 51, 0 = 2*u + i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 7120*x**2 - 2*x - 1. Suppose 4*f = -4*s + 8, 3*s - f - f - 1 = 0. Is n(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3825)\/405 - (-12 - (-1 - 2))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*z - 4*n + 3*n, 37 = 3*z + 5*n. Suppose 0 = -2*b + s + 12, -3*b = -4*b + z*s + 13. Suppose -b*i = -145 + 30. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -4591241, -18364979, -41321217, -73459961, -114781217, -165284991, -224971289?\n\"Answer: -r**3 - 4591244*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 219910764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.14*60.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q. Let t(u) = 9*u - 6*u - 20*u**2 + 8 - 5*u. Let j(v) = -2*b(v) + t(v). Differentiate j(p) wrt p.\nAnswer: -40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 3 + 3)*(2*k + k - 4*k) + 0*k - 5*k + k)*(k + 0*k + k).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -66.1465 to 0 dps.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 10. Suppose c + c = i. Solve 2\/9*f**c + 2\/9*f - 4\/9*f**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((960\/84)\/(-1))\/(-1 + 15\/21) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 175045?\nAnswer: 5, 13, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-2))\/((-1796)\/(-4490)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10100111011111000000 (base 2) in base 9?\nAnswer: 1255030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 - -50164?\nAnswer: 50167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4158983 is divided by 5575.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssszssaaabzzs. What is prob of picking 1 b and 3 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1252203138 divided by 208700523?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1055*x + 1290*x - 237*x + 3*x**3.\nAnswer: 3*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 1 = -0*z. Suppose 7*l = -6*l + 13. Let r(u) = u - 5132*u**2 + 5132*u**2 + u**3 - l. Let v(y) = -4*y**3 - 4*y + 4. What is z*v(q) + 5*r(q)?\nAnswer: q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -76 + 43 + 1 + 15 - 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20\/12*(-273)\/455.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*z - 333594*z**2 - 4*z - 333665*z**2 + 667264*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -105 + -2243?\nAnswer: -2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -4*y**3 - 7*y**2 + 6. Let l be (0 + 3)\/(4 + -3). Let u(a) = 8*a**2 - a**2 - 4 - 4*a**2 + 2*a**l + 1. Give -7*u(x) - 3*z(x).\nAnswer: -2*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, b: 1, g: 1, w: 1}. What is prob of picking 1 w, 1 b, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -248*l + 247*l = 0, 4*l + 7 = 4*s + 22 + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9874110 divided by -103938.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1327 + 724. Let c = d - -890. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*m + 4*m + 3*m)*(-5*m**2 + 0*m**2 + 4*m**2) - 2 - 2*m + 6*m**2 - 59*m**3 + 60*m**3 + 1 to z*m**3 + f + q*m**2 + d*m and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 + 53*h**2 - 125*h - 412. Is f(-53) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 + 8*d**2 + 6. Let t be a(-8). Suppose 0 = 2*b - 0*b - t. Suppose 0 = -b*f + 3*i, f + 9 = 4*i + 3. Let k(z) = z**2 - 4*z + 1. Give k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -9 (b) 0.1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 2*w**4 + 2821804*w**3 + 995319404994*w**2 - 1990647275408*w + 995325048608 = 0.\nAnswer: -705452, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 1437 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -9790, -9703, -9616, -9529, -9442, -9355?\n\"Answer: 87*y - 9877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 2. Let v be (9 + -8)*1\/1. List the prime factors of 7*2\/i - v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.06 - 0.06. Which is the closest to w? (a) 2\/7 (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*o**3 + 9*o**3 - 11 + 26 - 5 - 9 + 196*o to d + s*o + m*o**3 + q*o**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4641285 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let u = -11 - -10. Let a(m) = 22*m**2 - 2*m + 1. Let q(p) = -21*p**2 + p - 1. Let g(h) = -3*a(h) - 4*q(h). What is the tens digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.94 + -0.06. Which is the smallest value? (a) w (b) -2\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 2) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (183\/(-1708))\/(-1 - 66\/(-48)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 33 and 42823.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/53)\/((g\/(g**(4\/9)\/g)*g)\/g))**11 assuming g is positive.\nAnswer: g**(-7964\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12414351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16380795.\nAnswer: 3, 5, 29, 37657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -0*d + 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -272.71 - -271. Let r = n - -1.749. What is r rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (122\/(-1464))\/(3\/(-45)*(-5)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (0*h**2 + 3 - 29*h**2 + 65*h**2)*(-27*h + 0*h**2 + 26*h + 25 - 2*h**2) in the form s*h**4 + g*h**2 + x + l*h + t*h**3 and give x.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 6*q**2 + 11*q - 4. Let p(f) = -7*f**2 - 12*f + 4. Let c(t) = 6*j(t) + 5*p(t). Determine c(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -2*k + 44. Let o be i(21). Let l be 1356\/(-34) - o\/17. Let f = l + 43. Put f, -1, -3, -5 in increasing order.\nAnswer: -5, -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 4*m - 4 - 5*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i + 329. Let n(u) = 17*u**2. Determine j(n(s)).\nAnswer: 17*s**2 + 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 - (-5)\/(20\/(-104)). Let u = r - -35. Calculate the remainder when (-244)\/610 - (-222)\/5*1 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 4, h: 6, j: 3}. Give prob of sequence htht.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 170.6586 litres to millilitres.\nAnswer: 170658.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.3, 4\/3, 1.8, 598, -1\/18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 31230 by -6.\nAnswer: -5205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -10*z + 40. Let x(o) = -2*o + 10. Let c(p) = j(p) - 4*x(p). Let u(r) = 24*r. Determine c(u(d)).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be 95\/38*(-8)\/10. Let i be (9\/(-27))\/(y\/(-12)). Sort -32, i, 5, -0.4 in decreasing order.\nAnswer: 5, -0.4, i, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*v**3 - 2*v**2 + 0*v**3 + 3*v**4 + (-4*v**2 - v**2 + 0*v**2)*(v**2 - 4*v**2 + v**2) as j*v**4 + b*v**3 + w*v**2 + o + y*v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and -56.487.\nAnswer: -282.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*k - 8. Suppose 0 = k*f + 2 - 8. Which is the third smallest value? (a) 1\/2 (b) 0.6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13.818786 rounded to 1 decimal place?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3 minus -0.493207?\nAnswer: -2.506793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 328600843?\nAnswer: 157, 2092999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*r - 3*r. Let z = r + 0. Suppose 3*o + 6 = -z*h, 6 = -2*o + h - 5. What is the smallest value in o, -2, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 8*o**2 + o. Let l(k) = 1187*k**2 + 1640*k. Let b(i) = l(i) + 2*w(i). What is the second derivative of b(u) wrt u?\nAnswer: 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 130661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2 + 3710*c - 3441025.\nAnswer: -(c - 1855)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 836 = -2*r + o, -4*r = 2*o - 1672. Suppose t - 2*t + r = 5*k, 0 = 2*k + 2*t - 172. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 32218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 136.1 - 136.1006356. What is a rounded to five dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 16 + (0 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -40*r**2 + 404*r - 32. Calculate j(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -1 (b) 185\/3 (c) -29\/24 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.039 (b) 0 (c) -99\/2 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4479 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 3*z**5 + 5883*z**4 + 2869401*z**3 - 14447163*z**2 + 23167344*z - 11595468 = 0.\nAnswer: -983, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4394738250?\nAnswer: 2, 3, 5, 7, 31, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1 - 3\/2)\/((-5)\/10). Solve b*n + 4*t = -23, -3*t + 4 = -2*n - 2*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82.17505ug in tonnes?\nAnswer: 0.00000000008217505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -51181 and 8927.\nAnswer: -456892787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**2. Let z(l) = 211*l**2 - 146*l + 268. What is z(c(a))?\nAnswer: 211*a**4 + 146*a**2 + 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 5, 27, 2 in descending order.\nAnswer: 27, 5, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-10 - -4 - -3) - ((-24 - -62) + -29)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**3 + 1. Suppose 0 = -3*f + 34 - 37. Let u(h) = 3*h**3 - 2*h**2 + 4. Determine f*u(v) + 5*c(v).\nAnswer: 2*v**3 + 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 444687981 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/2*(-99)\/18. Suppose -24 = -5*h + j. Let u = -66 + 93. Calculate the remainder when u is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8329.\nAnswer: 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 4*f - 15. Suppose -54*h + 49*h + 25 = -5*s, -4*h + 56 = 5*s. Solve h*j - f*j + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the first derivative of -6*x + 1\/3*x**3 - 163 - 5\/2*x**2. Determine u(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2003737308?\nAnswer: 2, 3, 166978109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/3)\/((5\/225*-14)\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 0*g**2 - 2*g**3 + 9*g**2 - 49*g**3 wrt g.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 9*j + 1485 = 0. Suppose 0 = 2*p + 5*x - j, 2*p - 4*x = 36 + 252. Suppose -p = -3*s - w, s + w - 2*w - 50 = 0. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 23*f**2 - 2*f + 7. List the prime factors of s(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in 0, -1\/2, -7780, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 56 and 231224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*z + 249*z = 64*z - 4416 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qnqnqqnzznz. What is prob of sequence zzqz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the third derivative of 3*a**8\/112 + 11*a**5\/15 + 61*a**4\/24 - 7*a**3\/6 - 16*a**2. Find the second derivative of u(l) wrt l.\nAnswer: 180*l**3 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 136 (b) 3.4 (c) -3 (d) -0.1759\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1 - (1 + (1 - 4)) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**3\/5 + 84*o**2\/5 - 1728*o = 0.\nAnswer: -144, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 515 or 21496?\nAnswer: 21496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -5 < -277\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 859017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -30. Let k = 21 + -11. Calculate the remainder when i is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 465 + -451 + 10*-1. Solve a*g = 0, -4*o - 5*g + 11 + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/16879 equal to 2541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tpppttp. Give prob of sequence pppp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 17 = k, 0 = 3*l - 3*k - 5 + 2. Let n = l - 7. Let o be ((-6)\/n)\/(2\/4). Solve -5*f = s - 10 - 8, -4*f - o*s = -21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10010001110011 (base 2) in base 8?\nAnswer: 22163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of -m**7\/1155 + 13*m**6\/660 - 3*m**5\/55 - 13*m**4\/33 + 8*m**3\/3 - 1785*m**2. Let o(y) = 0. What is y?\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 4 = -3*i - 0*d, 0 = -2*i - d + 12. Suppose 5*f - 127 - 243 = -5*n, 3*f = 4*n + 257. Suppose -i*m = -f - 9. Is m less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -229\/4, -1, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -71*i**2 + 793*i - 2206. Calculate s(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 12, h: 6}. What is prob of picking 2 h and 2 x?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -m - 0*m + 5*x + 14, 116*m - 2 = 345*m - 115*m - 111*m + 7*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -8.9 and -5.\nAnswer: 44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 17 + (14\/3 - 0)\/((-208)\/312)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3 + (-425)\/10)*-8. Let j = i - -305. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3052 - -3060 - (-60 + 0).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:55 AM and 10:14 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 178*u**2 + 3*u. Let z be n(1). Suppose 5*i - j = 385, 9*i - 7*i + 5*j = z. Calculate the smallest common multiple of i and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of 2*d**2 - d - 6496. Let o(k) = k. Calculate j(m) + 4*o(m).\nAnswer: 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*r - 2*x = -13*r + 162, 4*r + 3*x - 345 = 0. Suppose 32 = 100*a - r*a. Solve a*y = -j - 3*y + 4, 3*j + 2*y + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 565*k**4 + 1307 + 142*k**5 - 2*k - 1798 - 141*k**5 wrt k.\nAnswer: 20*k**3 + 6780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t - 5*t + 29800000 = 0. Round t to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 - 237 = -40*j. Let o(s) be the first derivative of -s**5 - 1\/6*s**6 - 9 + 0*s - 7\/3*s**3 - s**2 - 9\/4*s**j. Factor o(u).\nAnswer: -u*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*r - 6*r = -r. What is the closest to r in 0.01, 1, 0.07?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3 or 0.102?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u + 2 - 2)*(-4 + 2 + 3) + 0*u + u + 0*u - 2*u + 0*u + u + (5 - 2 - 2)*(0 + 2*u + 0).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2\/4 + 725*p + 2899\/4.\nAnswer: (p + 1)*(p + 2899)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:30 AM and 9:22 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3 + -7 - (5 + -20 + 25) - -9 - -36\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*l = -32*l - 42 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*g + 3*g + 2555*g**2.\nAnswer: 2555*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (178*o**2 + 233*o**3 - 178*o**2)*(2*o - 11*o - 2*o).\nAnswer: -2563*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -566 + 604. Let s(y) = 15*y**3 - 3*y**2 + 3*y - 2. Let b be s(2). Let j = b + v. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10220 divided by 5?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqqqqqqqqqgqq?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -75*q**2 - 61*q - 5. Let h(d) = 112*d**2 + 92*d + 7. Let u(y) = -7*a(y) - 5*h(y). Find the second derivative of u(s) wrt s.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 2*l**3 - 2*l**2 - l. Let m be ((-4)\/(-8))\/((-1)\/2). Let a be q(m). Let g be 9\/12*4*-1. Is g greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 60b94a0 - 4?\nAnswer: 60b9499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -5*h + 143. Let q be (9\/(-72))\/(2\/16) + (6 - -4). Let c(r) = r - 36. What is q*c(d) + 2*k(d)?\nAnswer: -d - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*h + 5*h - 2*h + 0*h + 5*h - 3*h - 1 + 1 + 2*h - 2 + 2 - 2*h - 1 - 2*h + 1 + (5 - 2 - 5)*(-h + 2*h + h) + 0*h - 3*h + 4*h + (-2 + 0 + 4)*(-2 + 2 - h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-1\/3)\/l)**11\/((l\/(l**(-5)\/l*l))\/l)**(1\/12))**(-29\/5) assuming l is positive.\nAnswer: l**(5249\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 53*3\/12 - 12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 518 + -498. Calculate the lowest common multiple of j and 74.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:13 PM and 4:01 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 70 + 0.002.\nAnswer: 70.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 + -22 - (1 - -1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*-2698.\nAnswer: -809.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 6 + 13 + (-4 + 4 + 2)*(-4 + 2 + 4) + 3 + 1 - 6 - 1 + 0 - 1)*(0 + 1 - 3)*(16*c - 15*c + 29*c).\nAnswer: -1260*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21518 is divided by 5358?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the second derivative of f**5\/10 - f**4\/2 - 5*f**3\/2 + 3*f**2\/2 - 9*f. Let a be q(6). Let i = 51 + a. Does 45 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 222 (base 4) to base 15.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 3*d**2 + 3 - 2*d**2 - 2 - d. Let m(r) = 8*r**2 - 4*r + 8. Calculate -m(l) + 6*y(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -1593, -3, 2 in increasing order.\nAnswer: -1593, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.0326 + 3.0326. Let x = 6.08 - 6. Is x at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31334780957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - 32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 334180 and 2823170?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 144\/60*(-24)\/(-312)*(-5)\/(-2)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 880 = -32*g + 24*g. Is g less than -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4057.11442 + -4057. What is c rounded to 3 decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*s - 22*s = -19*s + 196 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 2 - 13 = 0. Suppose 3*d - 6 = 4*d - 3*b, -d = 5*b - 10. Suppose 19*j - 23 = -4*j. Sort d, j, q, -2 in descending order.\nAnswer: q, j, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 968*b**2*r**3 + 14893*b**2*r**2 + 304234043*b**2 wrt r?\nAnswer: 2904*b**2*r**2 + 29786*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/2 or 0.40701?\nAnswer: 0.40701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v - 1. Let u(s) = 37 - 79 + 48 + 3*s. Let z be u(-4). Determine n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (28 + -15 + -13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8\/(-36) + (-2755)\/(-45).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**3 + 14*i**2 + 2*i + 33. Let q be h(-14). Let k(m) = -11*m + 61. Let f be k(5). Solve 8*a = q*a + f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/(16\/(2160\/(-35))*42\/140)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 50496, 50482, 50460, 50430, 50392, 50346?\n\"Answer: -4*h**2 - 2*h + 50502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**2 + 2*t - 1. Let r(c) = -150*c**2 + 4*c + 534. Let q(k) = -2*l(k) + r(k). What is the derivative of q(h) wrt h?\nAnswer: -304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3370 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 44 - 34. Let i = -14 + 8. Let m = 8 + i. Solve 7*y = m*y - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -186*n = -182*n - 4. Suppose n = -b + 7. Let u(x) = 2*x**3 - x**2 + 2*x + 3. Let t be u(3). Calculate the highest common factor of b and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13344 and 52542?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*-7371578.\nAnswer: 51601046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 23 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - (-24 + 10 - -16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-8)\/16*(3 - 11). Suppose -29618 = -3*t + 5*n, 3*n - s = 7*n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 + 2*k)*(-10 + 4 - 6)*(-3 - 3 - 2) as i + l*k and give l.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, v: 2, f: 10, n: 5, x: 1}. Give prob of picking 2 n and 2 v.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 57779*f**3 - 5*f**2 + 7*f - 9. Let o be y(3). What is o rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 5*v**5 - 560*v**4 + 15680*v**3 = 0.\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 - 10. Suppose -u - 10 = -2*z. Suppose -4*b + 9*b - z = 0. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16899368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**2 - 129*s - 1083. Determine d(-120).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 438*f - 390*f - 3303456000 = 0. Round f to the nearest 1000000.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5279525651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/7, 7483, 2.\nAnswer: 4\/7, 2, 7483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 311544220 (base 6) to base 9\nAnswer: 11155663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -14*v**2 - 7*v - 7. Let n(x) = 9*x**2 + 5*x + 5. Let s = -37 + 44. Give s*n(m) + 5*d(m).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 105*u - 3895. What is w(34)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 41776 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 2*q - 14 = h, 5*h + 5*q = 70. What is the remainder when (66 - -1)\/((-5)\/(-5)) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 + 17*o**2 + 18*o + 3. Let j be t(18). Suppose l + 2*p = 12, 7*p - 12 = 4*l + 3*p. Suppose -j*g - 33 = -l*g. Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121.5534851 rounded to 0 dps?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/47905 and 4\/28743.\nAnswer: 143715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - (-2 - (-20 - -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1103 = 14*f - 759. What is the third derivative of -1584*y + 1584*y - f*y**5 - 51*y**2 wrt y?\nAnswer: -7980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8333.\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -32 - -31. Let m(n) be the third derivative of n**6\/120 - n**5\/120 - n**4\/24 + 2*n**3\/3 + 2*n**2. Let f(z) be the first derivative of m(z). Give f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58678 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 4*c**4\/3 - 16*c**3 + 40*c**2 - 112*c\/3 + 12 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 2. Let k be (-113)\/(15368\/680) + (-259)\/(-47). Is k != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 779 - 386. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -231 divided by 1001758?\nAnswer: -231\/1001758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7 and 71568?\nAnswer: 71568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 28 times -17995?\nAnswer: -503860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 217, 482, 747, 1012?\n\"Answer: 265*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 2*d - 10. Let o be w(11). Suppose -5*p - o - 3 = 0. Put 10, p, -2 in ascending order.\nAnswer: p, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4700 - -0.09610722.\nAnswer: -4699.90389278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -195626862 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -191386*p + 191386*p - 496*p**2.\nAnswer: -496*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -10 - -20 - (-13 + (1 - 2) - -5 - 4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -25 + (-32 - (-3627)\/63)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**2)**(14\/3)\/(q*q\/((q*q**(1\/3)*q)\/q)*q)**(10\/13))\/((((q**5*q)\/q)\/(q\/q**(-4)))\/(q**(-6)*q**(1\/4))) assuming q is positive.\nAnswer: q**(359\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 11, p: 5, x: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -3*y - 4, -3*h = -3*y + y - 2. What is the common denominator of 6\/15 - (-508)\/(-120) and 104\/(-10) + (h - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 12*a - 4. Let i(y) = -12*y + 3. What is 4*i(o) + 3*p(o)?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 12672\/(-572) - -22 - -339*(-8)\/(-1404)\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14 + -32. Let a = 31 + h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f + 1 - 21 = 0, -2*f - 2 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8 and -669.\nAnswer: -5352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 42 + -66. Let c be (9\/18)\/(2 + 49\/u). Which is smaller: c or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 65713 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106837637.\nAnswer: 1453, 73529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15 + 6 - (-3 + -1 - (-13 + 11))) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 25*j - 5. Let k(c) = -102*c + 21. Let f(s) = -21*a(s) - 5*k(s). Let x(v) = -7*v**2. Give x(f(z)).\nAnswer: -1575*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -805*h + 402*h + 2*h**2 - 3 + h**3 + 2*h**4 + 400*h to the form o*h**3 + l*h**2 + x*h**4 + c*h + k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -115 - -109. Let r(a) be the first derivative of a**6\/360 + a**5\/24 + a**4\/6 - 4*a**3\/3 - 2. Let m(x) be the third derivative of r(x). Calculate m(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 146081 is divided by 3114?\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let z(d) be the third derivative of -d**5\/60 - 4*d**2. Let a(s) = -13*s**2. Calculate a(z(i)).\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 18383 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: What is the thousands digit of 412374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 6391*u - 782 - 368 = 6358*u + 500 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -16861*0.2\nAnswer: -3372.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the second derivative of -4*i**6\/15 + i**3\/6 - 7*i. What is the second derivative of m(x) wrt x?\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -28409215 by -5.\nAnswer: 5681843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b (base 12) to base 4\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7229841.\nAnswer: 3, 2409947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 15 - 35. Let g be (4 + 2)\/(3\/4). Let x be (-8)\/z + g\/(-20). Which is smaller: x or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 51548 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4719744 and 1224?\nAnswer: 4719744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {t: 1, g: 1, q: 14}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10.61 + -11. Let l = 2.39 + d. Let f be 24\/135 - (-8)\/(-20). Which is the closest to l? (a) -2\/7 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -2*k**2 + 4*k - 37. Let z(s) = -2*s**2 + 2*s + 1. What is -p(c) + 2*z(c)?\nAnswer: -2*c**2 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (2 - (37 + -17)) + 15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-u + 1 - 1)*(3 + u - 3) - 2*u**2 + 1 - 1 - 2*u**2 + 0*u**2 + u**2 + (5*u - 15*u + 19*u)*(-107*u + 23*u - 68*u) in the form b*u + s + x*u**2 and give x.\nAnswer: -1372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r + 0*r + 0*r)*(62 - 4 - 4) + 0*r - r - r + (0*r - 4*r + 6*r)*(-3 + 1 + 4).\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1068469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, -5, 802?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1256\/15785 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 26819 divided by 3?\nAnswer: 26819\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 151141230 - -6?\nAnswer: 151141236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b + 9. Let z be x(-11). Let r be z - (24\/(-3) + 3). Suppose 7*m = -4*s + 3*m + 12, -s - 4*m - 9 = 0. Solve 4*c - 4*v = 24, -c - s = r*v + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 64856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -32500 (base 6) to base 9.\nAnswer: -6150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/6*(180\/(-40))\/(-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 12, 5, 2\/7, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 135*n - 4*u + 12 = 134*n, -9*n + 5*u = -47 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 19404 and 220?\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -y**5 - 20*y**4 + 26*y**3 - 94231*y**2.\nAnswer: -60*y**2 - 480*y + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -8*v. Calculate t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/30 and -73\/520?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sum 101 and 0.069.\nAnswer: 101.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -219*n + 21 + 10 + 18 - 46 as b*n + x and give b.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (71 - (67 + -78)) + (2 - 26).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19709*g + 4927*g + 4925*g + 4924*g + 4925*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pwppwwwpww.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**2 + 13*h + 37. Calculate k(17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 5 - 43)*(12 - 15*y - 12).\nAnswer: 765*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20633 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.1 - -0.9. Let l = -0.35 - -1.15. Let z = l - y. Which is the biggest value? (a) z (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2912436*q**2*y*z**3 - 2*q**2*z + q**2 + 79*q*y*z**2 - 15*q*y*z - 2*q*y - 13*q*z**3 + 604*q*z**2 - y*z**2 wrt z?\nAnswer: -17474616*q**2*y - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*m + 558 + 820 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*x - 100*x - 18375 = 0. Sort x, -0.3, -0.2, 2\/5 in descending order.\nAnswer: 2\/5, -0.2, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -6094093.6 to the nearest one thousand.\nAnswer: -6094000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 - 20*n**2 + 96*n + 63. Determine d(13).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 9:22 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-14) - 384492\/(-28819)) + (-1 - 12)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 160*v + 1511 + 409 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8 - -8. Suppose 2*b + m - 7 = n, -4*m + 6*m = 4*b - 18. Suppose 0 = b*i - 0*i - 4. Sort -5, i, 0.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - z + 96156, -5*z + 160280 = 272*t - 267*t. What are the prime factors of t?\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (9\/(-6))\/(1\/(-6)). Suppose -l*r + 9 = -8*r. Suppose r = -s + 4*s. Solve 12 = 3*f - s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l**4 - 7130*l**3 + 1593088*l**2 - 1969570*l - 2376300 = 0. What is l?\nAnswer: -3\/4, 2, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1030 divided by -515?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 759006.1mm?\nAnswer: 759006100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2287 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -16\/3, 20, 2\/3, 2 in decreasing order.\nAnswer: 20, 2, 2\/3, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -9*q + 114. Let f be l(8). Find the common denominator of 18\/99 - (-8)\/((-2816)\/f) and -37\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*i**4 + 6995*i**3 + 42090*i**2 + 84260*i + 56200.\nAnswer: -5*(i - 1405)*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 17*x - 730. Calculate r(19).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the first derivative of -2*n**3\/45 + 7*n**2\/15 - 4*n\/5 + 323. Solve x(u) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -11 - (-10 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3 + 2\/(-6) + (6 - 2). Let f be ((-1)\/(-1 - 1))\/((-18)\/1008). What is the nearest to g in f, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 4428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/66 and 27\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 146796 is divided by 47?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 55187 - 55214.943. Let j = s + -0.057. Let d = 29 + j. Which is the nearest to 1? (a) 1\/5 (b) -1\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 301573631 is divided by 1536?\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -3*k**2 + 297*k + 6. What is w(99)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, -1, 99, -7, -4 in increasing order.\nAnswer: -7, -4, -1, 2, 3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 395*-1*2*(1134\/(-60))\/189\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8347455 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/11, 7\/2, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 48408 - 48408 - 26*u**2. Let t(c) = 0 + 0 + 2*c**2. Determine m(t(l)).\nAnswer: -104*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3402 and 49714614.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.9762*-468.\nAnswer: 456.8616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 71 + -66. Let y be 8\/(-4) - (38 + -2). Let i = -189\/5 - y. Put z, i, 2 in ascending order.\nAnswer: i, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**3 + 12*t**2 - 13*t - 2. Let v be q(11). Let y = v + 8. What is the lowest common multiple of 9 and (-6)\/(-15) - y\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 354, -1, 1687, -37, 2.\nAnswer: -37, -2, -1, 2, 354, 1687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + x + 27 + 81 = 0, 3*x - 124 = 2*p. Let v be (-9)\/(-6)*p\/(-480). Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 4, -2, 1370 in increasing order.\nAnswer: -5, -2, 4, 1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**3 + 8*b**2 - 2*b + 9. Let i be k(-8). Let v = -12 + i. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2840 and 5?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4 and 5 + (-13 - -14 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 191*u**6 - 3*u**2 - 80*u.\nAnswer: 22920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 33 and 0.44?\nAnswer: 14.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2411 (base 7) in base 4?\nAnswer: -31322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 2*g + 196, -5*g - 10 = -3*g. Let r = 78 + h. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -150 + 5?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39 - 82*i**2 - 39.\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.12 take away 0.022?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g - 6*g - 162. Let h = g + 88. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 1 = -2*x. Let n be (-7)\/(-4) - x\/2. Let d = -15.89 - -15.79. Which is the closest to n? (a) d (b) 0.3 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6\/7? (a) 0 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12655 - -12655.071655. What is x rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1223554420?\nAnswer: 2, 5, 11, 505601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 40, 81, 124, 169, 216, 265, 316?\n\"Answer: w**2 + 38*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-6)*i**(-9\/4))**(-8)*(i**(2\/13)\/(i*i*(i\/i**(-1\/3))\/i*i*i))**6 assuming i is positive.\nAnswer: i**(532\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*m = 19*m + 2. Let j(k) = 2*k**2 + 2*k. Let x(d) = 17*d**2 + 18*d. Let u(o) = m*x(o) + 18*j(o). Let w(v) = -14*v**2 + 2. Calculate w(u(c)).\nAnswer: -56*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -9*u**3 + 6*u**2 - 8*u - 6. Let c(d) be the first derivative of -19*d**4\/4 + 13*d**3\/3 - 17*d**2\/2 - 13*d + 66. What is -6*c(z) + 13*w(z)?\nAnswer: -3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80)\/(sqrt(8) + sqrt(8) + sqrt(72)) - (-2*-1*sqrt(10) - sqrt(10)))\/((sqrt(5) + sqrt(180))*-4 - (sqrt(45) - sqrt(5))*-3).\nAnswer: 2*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 7 + 1)*(h + 0*h - 12*h)*(-4 + 8 - 3).\nAnswer: 88*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**2 + 14*r + 70. Let x be y(-8). Calculate the highest common factor of x and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**3 + 36*h**2 - 2*h - 35. Calculate w(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83180.\nAnswer: 2, 5, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 12*o**2 - o + 1. Let i(p) = 0*p - 6*p**2 - p + 5*p**2 + 1. Let r be i(0). What is the remainder when 35 is divided by b(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6.85 + -7. Let d = b + -0.05. Let r = -6.4 - -7. Sort d, r, -4 in descending order.\nAnswer: r, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(121)\/(sqrt(132)\/(sqrt(72)\/sqrt(6))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by 2464.\nAnswer: 3\/1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 81 = -99. Let m be 4\/18 + 10353\/189. Let k = c + m. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -172*b = -42 - 179 - 123. Calculate the highest common factor of b and 2026.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-1 + 2 - 0). Suppose 5*b - f*b = 5*p - 1647, -3*p + 1001 = 2*b. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -164, -643, -1432, -2525, -3916, -5599?\nAnswer: -7568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1316 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 887157?\nAnswer: 3, 98573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes before 3:39 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(121) - sqrt(121)*-2*1 - sqrt(121) - sqrt(121) - sqrt(121)))\/(sqrt(88)\/(sqrt(96)\/(-2*sqrt(12)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -555*h - 372 = -462*h. Sort 70, h, 10, 1 in increasing order.\nAnswer: h, 1, 10, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 423105?\nAnswer: 3, 5, 67, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 126 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 2*u + 58. Let y(a) = -a**2. Give f(y(t)).\nAnswer: -2*t**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and -1.43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 3*u + 20. Suppose -5*d = 5*x - 70, 4*d - u*d + 18 = 2*x. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12476119?\nAnswer: 29, 281, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 6, m: 1, c: 2, g: 4}. What is prob of picking 2 g?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 170 - 224. Let s(x) = -x + 1. Let m(y) = 3*y**2 - 27*y + 27. Determine o*s(j) + 2*m(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 32979.4cm to meters.\nAnswer: 329.794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -37.3423772 - 0.03?\nAnswer: -37.3723772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 3*d**2 - d - 418. Let m be p(12). What is the closest to 13 in m, 1\/48, 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 34125 (base 6) to base 12.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**3 + 5*z**2 + 4*z - 6. Determine o(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 5345311, 5345316, 5345323, 5345332, 5345343, 5345356, 5345371?\n\"Answer: m**2 + 2*m + 5345308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*2*sqrt(182))\/sqrt(7))\/(-6*((sqrt(288) - sqrt(288)*-2) + sqrt(288) - sqrt(288))) + 1.\nAnswer: -sqrt(13)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 5.99. Which is the second biggest value? (a) -2 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4157.\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -911784428*p - 9 + 911784428*p + 11*p**2.\nAnswer: 11*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 11*h**2. Let i(a) = 2*a - 6. Give i(o(d)).\nAnswer: 22*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 4*s = -0 + 10, -s + 12 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*t**3*u**3 - t**3*u - 28*t**2*u + 148*t*u**3 wrt t.\nAnswer: 24*t*u**3 - 6*t*u - 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, t: 2, l: 3, m: 1}. Give prob of sequence rl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes before 5:39 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of t**7\/280 - t**6\/120 - 23*t**3\/6 + 6*t. Let u(r) be the second derivative of p(r). Determine h so that u(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1396.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -8880834 plus -0.1074?\nAnswer: -8880834.1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the first derivative of -1\/20*u**5 + 3\/16*u**4 + 1\/2*u - 3\/8*u**2 - 1\/12*u**3 - 3. Find r, given that f(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 - 19.1. What is the third smallest value in o, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 248516?\nAnswer: 1491096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from kkykllyl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -184131774, -368263543, -552395312, -736527081, -920658850?\nAnswer: -1104790619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1.988 plus 14624237882?\nAnswer: 14624237883.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 167 = -48. Suppose 0 = -3*i - 11 + s. Solve 0 = 4*j - 3*o + 6, 0*j = 3*j + o - i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 - w**2 + w + 1. Suppose -15 + 31 = -4*j. Let i(h) = h**4 - 13*h**3 + 10*h**2 - 9*h - 11. Let o(s) = j*i(s) - 44*x(s). Factor o(z).\nAnswer: -4*z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -13 + 3 - (-5 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, 52, -98, 4, 5, 10 in increasing order.\nAnswer: -98, -24, 4, 5, 10, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a + -190633?\nAnswer: -190625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*h = 2*t + 9*h - 27, -7*h - 28 = 6*h - 17*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -3*f - 115, -2*f = z - 0*z - 68. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvvvvt. Give prob of picking 1 v and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 7472600 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjyjjjjjytjjyyjyjjjj. Give prob of picking 2 t and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1454313 (base 7) in base 11?\nAnswer: -126084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -7*i + 4. Let a be p(1). Let w(s) = -3*s - 4. Let v be w(a). What is the closest to 0.1 in -2\/19, -0.05, v, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 15) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*g*h + 646*g + 6*h**2 - 38*h - 2 wrt h.\nAnswer: 2*g + 12*h - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence accc when four letters picked without replacement from acaacacaaaacaaac?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 292\/17, -1, -2\/5, -5, -865 in descending order.\nAnswer: 292\/17, -2\/5, -1, -5, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:50 PM and 5:29 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/22)\/(3\/(-44)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*c - 4*u + 96 = -7*c, -5*c + 85 = -2*u. Are c and 36 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -76 or -74?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be 7\/(-14)*(-2 - 0). What is the remainder when u\/(-2) + -44*(-88)\/64 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*j\/j**(3\/2)*((j**(2\/5)*j)\/j*j)\/j)\/((j\/(((j\/j**1)\/j)\/j)*j)\/j**(-9\/2)) assuming j is positive.\nAnswer: j**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 4:31 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2066969*r**3 + 98*r**2 + 77*r - 3 wrt r.\nAnswer: -12401814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -4*y - 3*y - 3*y + 4*y**2 - 7 + 11*y. Let f be (5\/(-2))\/((-2)\/(-4)). Let r(k) = -2*k**2 - k + 4. Determine f*r(t) - 3*i(t).\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.6520069 litres?\nAnswer: 652.0069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 18738, 34403, 50068, 65733, 81398?\n\"Answer: 15665*c + 3073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7828 and 16383180.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0.1, 9, -4\/7 in increasing order.\nAnswer: -4\/7, 0.1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 51 - -9. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/17688450 and -29\/12.\nAnswer: 35376900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2 + 9*r + 8. Let v be m(9). Suppose c = -c + v. Solve 2*w + 9*w**3 - w**4 - 6*w**2 - 3*w**3 - w**c = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 27*d**3 - 338 + 336 - 48*d**3 - 71*d**3 as s*d**3 + a*d**2 + p + x*d and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 141 + 177 = 0. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -12*j - 454. Let i be s(0). Is -454 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 26 = j, y + 3*j + 13 - 1 = 0. Let h = y - -8. Find the second derivative of w + 3*w - 6*w + 0*w - h*w**3 wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 437 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 4*i**5 - 432*i**4 + 9744*i**3 + 107648*i**2 = 0.\nAnswer: -8, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -88*n*u**3 + 2*n*u**2 - 2*n - 59*u wrt u?\nAnswer: -528*n*u + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.16 + 0.24. Let r = 1 - 4. What is the closest to -1 in -3\/5, l, r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 - 1. Does z = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 14*o - 16. Solve o = 69*l - 75*l + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.08 - 0.18. Let y be ((-1)\/4)\/((-2)\/(-8)). Put y, 5, o in ascending order.\nAnswer: y, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3*f**3 - 5*f**2 + 3*f + 3. Let a be u(3). Suppose -24 = -2*q + 3*g + 5, -3*q + a = -3*g. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2548193, -2548182, -2548165, -2548142, -2548113, -2548078, -2548037?\n\"Answer: 3*y**2 + 2*y - 2548198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 134*u = 140*u - 24. Suppose 2*t = 3 - 5, u*a + 300 = 4*t. What is a rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.14 + -0.072. Let z = y - 0.06715. What is z rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -117*b = 853 + 83 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7965437 or 7965438?\nAnswer: 7965438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -2635 (base 7) to base 16\nAnswer: -3ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*s = 38*s + 56 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -20*p. Let n(w) = -6731*w**2 + 318*w + 636. Let y(j) = -106*j**2 + 5*j + 10. Let q(o) = 5*n(o) - 318*y(o). What is u(q(i))?\nAnswer: -1060*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3\/5374 - -204365\/274074. Let z = -161270 - -1872989779\/11614. Let p = z - 159688\/52263. Find the common denominator of s and p.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.31 less than 94.0071?\nAnswer: 93.6971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x**5 - 3*x**5 - 2*x**5 + ((-5 + 14*x + 5)*(3*x - 2*x + x) - 4*x**2 + x**2 + 2*x**2)*(-3*x**3 - 5*x**3 + 5*x**3).\nAnswer: -84*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18662 is divided by 1541?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 - -21. Let y = -20 + h. Let l(k) = -k**2 + 7*k. Let b be l(7). What is the third biggest value in -7\/5, y, b?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.029310751 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -3*o**3 - 5*o**2 + 13*o + 6. Is t(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 8 = 2*h, 4*h - f = -5*f + 32. Suppose -h*g - 30 = -5*i, 0*i + i = 3*g + 17. Differentiate 3*o**3 + 2*o**3 - 3 - i + 0 wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(5\/7)*u\/u**1*u\/(u\/u**12)*u*u\/(((u\/(u\/(u**(-5\/6)*u)))\/u)\/u)*u)**30)**(-1) assuming u is positive.\nAnswer: u**(-3685\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = q, -4 = -3*r + 4*q + 6. Let k(u) = u**3 - 6*u**2 - 24*u - 28. Let j be k(9). Which is the nearest to j? (a) 0.1 (b) r (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**3 + 34*s**2 + 74*s - 84. Determine p(36).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -12062 * -6815.\nAnswer: 82202530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, s: 10}. What is prob of sequence sss?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -937456, -937459, -937464, -937471, -937480, -937491?\n\"Answer: -w**2 - 937455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the first derivative of 18*z**2 - z - 2. What is the tens digit of k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.16 - -1.96. Let n = 2 + -0.1. Let p = o - n. Which is the biggest value? (a) p (b) -1\/6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 107.1849 - 127.82791. Let n = 0.02699 - h. Round n to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33 is divided by -38*(2 - 15\/6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = 8, -4*j = 3*l + l - 104. Solve 1 + j = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1\/3 and -3\/274 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 46 + -55. Let u = r - -58. Let n = u - 49.0000114. Round n to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1754595786 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*z**3 + z - z + (-2*z + 3*z - 3*z)*(-3*z**2 + 3*z**2 - 2*z**2) - z + z + 2*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (-158)\/6*(-4110 + 81\/(-9)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 672 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2495 = 17*n + 14514. Round n to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20 and 1706?\nAnswer: 17060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -0.07, 10.1, -2\/13, 13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 114\/12 + (-2)\/(-4). Let h be 3 + 5\/(x\/(-3)). Which is the third biggest value? (a) h (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1169285*g**3 + 474983*g**2 wrt g?\nAnswer: 7015710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 3291 by 3305.\nAnswer: 3291\/3305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11 + 15. Suppose -2*r - 1 = -5*f, 5 = f + x. Suppose -r*h = -t + 17, -6*t - 2*h + 4 = -4*t. Calculate the remainder when 18 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -1971*q - 247839. Calculate u(-126).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d. Let w(i) = 4. Let r(k) = k**2 - 1. Let p(c) = -4*r(c) - w(c). What is g(p(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(18)\/(-1*sqrt(9)) + (2*sqrt(288) + sqrt(288))**2.\nAnswer: -sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 100980312 divided by 16830052?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 276507051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29561275 is divided by 47?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7139 and 112829299.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:25 PM and 7:30 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -421 (base 11) to base 13.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9229*d**3*s + 3*d**2*s + 13*d*s + 47 wrt d.\nAnswer: 55374*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5220, -3, -5 in increasing order.\nAnswer: -5220, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of l**3*t**2 - 2*l**3*t - 10*l**2*t**2 + 2*l**2*t - 840*l**2 + 57*l*t**2 - 31*t**2 - 3*t - 2 wrt t.\nAnswer: 2*l**3 - 20*l**2 + 114*l - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/225*5)\/((-2)\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17 and 193001?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 2*h = 9, -2*r - 5 = 5*h + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 7*n**3 - 87*n**2 + 367*n - 3974. Give z(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 16) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 + 9*p + 68. Let a = -387 + 380. Calculate the least common multiple of 99 and c(a).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 + 0*j - 2*j**2 + j**3 + j + 0 - 12. Let u be l(0). Let k = u + 25. Solve -2*n = k - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22101110002221 - -11?\nAnswer: -22101110002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 - 48 = -c. Suppose 0 = -3*h - 14 - 16. Is h\/4*(-966)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = x - 27. Suppose -108*f + 111*f - 180 = -9*a, 0 = -2*a - 5*f + 53. Calculate the least common multiple of a and x.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 PM and 3:41 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**4 - m**4 + 6*m**4)*(-855*m + 534*m - 720*m - 1208*m - 1542*m + 3).\nAnswer: -7582*m**5 + 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of c*p**4 + 2*c*p**2 - 37*c*p - 87*p**4 wrt p.\nAnswer: 24*c*p - 2088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 657, 651, 639, 621, 597, 567, 531?\n\"Answer: -3*f**2 + 3*f + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3466515 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 8) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (277\/3)\/(2\/12). Let q = a + -1754. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1064867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 6852361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5189\/7 + -743. Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 98 and 5788804.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 17861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -14*r - 4. Let u(q) = -25*q**2 - 202*q - 23. Let c be u(-8). Let s(j) = -28*j - 7. Calculate c*b(h) + 4*s(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 470046 + 12?\nAnswer: 470058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 530 - 354. What is the remainder when w is divided by 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 40*c**2 - 375*c + 135.\nAnswer: 5*(c - 9)*(8*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and 262.8?\nAnswer: 525.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 368 = 10954*f - 11000*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 1, 3, 0, -1, 3268 in decreasing order.\nAnswer: 3268, 3, 1, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - w + 906 = -2*w, -5*w = 4*i - 748. Let o(k) = k - 4*k - i + 185. Let m(d) = 4*d - 3. What is 4*m(g) + 5*o(g)?\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1.146569 micrometers in meters?\nAnswer: 0.000001146569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 164916 divided by -9\nAnswer: -18324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 - -27. Let t(b) = -b**3 + 12*b**2 + 3*b - 31. Let i be t(s). What is the greatest common factor of i and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6052 is divided by 5279.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -8 + 4*y**3 + 2*y**4 + 3*y**2 + 38*y - 42*y - 4*y**3 as r*y**2 + f*y + m + l*y**3 + q*y**4 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of 11*x**6\/120 - x**4\/12 + x**3\/3 - 2398*x**2. Let q(k) = 351*k**3 - 65*k + 65. Calculate -2*q(c) + 65*r(c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f = -10*f + 148000. What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/804 and (-1284)\/(-40)*(-28)\/504 - 1.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127 (base 12) in base 11?\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:42 PM and 4:10 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**2 + 13*j + 4. What is the remainder when 76 is divided by i(11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 11, 16, 25, 38, 55?\n\"Answer: 2*t**2 - t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.87 in 1, 1\/3, 0.2, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**2 - 4*w - 3. Let m be g(5). What is the second smallest value in -1, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 98913704 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 16) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 15579 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -3*z**2. Let g(b) = -699*b. Give g(v(k)).\nAnswer: 2097*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g + 8. Let k be o(5). Suppose -3 = k*a - 6. Find the second derivative of a - 1 + q**5 + q wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 429442806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.07 + -138319278364\nAnswer: -138319278363.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/11549570 and 77\/34648710.\nAnswer: 34648710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/(-4))\/((-13)\/(-26))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 26773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*k + 106 + 44. Let p(b) = -b**2 - 2*b + 1. Let r be p(-6). Let y = r - k. What is the remainder when 7 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 2 = -12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 2*u - 12. Let g be f(-8). Let d = 28 + g. Suppose -w + d*w - 1 = 0. Are -1 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1702 - -1705. Which is the nearest to z? (a) -0.4 (b) -5 (c) 4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6\/(-8) - (22755\/900)\/(-41). What is the nearest to 0.1 in c, 0.3, -7, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1430 is divided by 584.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10512 and 39?\nAnswer: 136656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -z**2 - 11*z. Let c be l(-11). Suppose -2*h - h + 12 = c. Which is smaller: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c + 1. Let z(g) = 26. Let a(u) = -3*y(u) + 3*z(u). What is the tens digit of a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-8)*f)\/(f\/((f**(-5)*f)\/f))*f**(-2\/5)*f**3)**(-8\/15) assuming f is positive.\nAnswer: f**(416\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2522941 to the power of 1\/2, to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 75*r - 33. Let k be c(9). Suppose -k = -10*w + 4*w. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - -11010101?\nAnswer: 11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 3962 - j - 2*j + 3*j**3 - 3961 - 10*j**2 as s + p*j + x*j**2 + a*j**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, 1, -10, -21?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1050 - -19948\/19. What is the nearest to 3\/7 in 1, -1, 1\/6, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7065 divided by 785.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes before 8:16 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 3*p + 3 = -2*u, 5*u = p - 1. Suppose u = -t + 10 - 3. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 112 = 9*y. What is the smallest common multiple of 2 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c + 13. Let o be x(11). Suppose k - 6*k + 3*q + 4 = 0, -5*k + 4*q = -o. Suppose 0 = -5*u + 3 + k, -5*i + 2*u = -78. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 - 6. Let w be 11\/(-9) - 16\/(-12). Put f, w, 5 in decreasing order.\nAnswer: 5, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -154 at most -460\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-31614 + 31612 + 111*f + 130*f)*(-f**2 - 3*f**2 + 6*f**2).\nAnswer: 482*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, z: 3, h: 4, u: 2, g: 4, r: 1}. Give prob of sequence hfh.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -160 - -159. Is 22 a factor of (-3445)\/(-52) + c\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 2*q**2 + 28*q + 26. Calculate w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 = 2*z + 619*a - 624*a, a - 7 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/553 (b) -292 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + (-9)\/3 - (-1 + -4). Let u(z) = 2*z + 2. Let a(g) = 1. Let f(i) = -4*a(i) + u(i). Calculate f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(0 + sqrt(2736) + sqrt(2736))*5)**2.\nAnswer: 1094400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 + 10*v**2 - 12*v - 12. Let y be w(9). Let t = y + 39. Suppose -2*s + 5*f = 3*f - 398, -3*f - 3 = t. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*0.005.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 113, 499, 1153, 2075, 3265, 4723, 6449?\nAnswer: 8443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/1*2\/6. Let i = 9 + o. Is 0 - (i + -1)*-7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -415, -410, -405, -400?\n\"Answer: 5*r - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20\/3*321\/(-428).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3104254421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(200) + 1 + -2 + (sqrt(200) + -2*sqrt(200) + sqrt(200) + -3 + sqrt(200) - sqrt(200)))**2 - (sqrt(32)*1 + (sqrt(10)\/sqrt(320))**2).\nAnswer: -84*sqrt(2) + 6911\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**10\/k*k*(k\/(k*k**(-1\/4)\/k))\/k)\/(k**(2\/21)*k*k)**(-5) assuming k is positive.\nAnswer: k**(1741\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 - 7582539.\nAnswer: -7582536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*y - 8*y + 213 = 0. What is the units digit of (2\/2)\/((2 + -3)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -8*n**3 + n**2 + n - 1. Let x be k(1). Let l = x - -19. Suppose 0 = 4*m - 40 + l. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + b - 5*g = 1635, 3*b + 1203 = 4*g. Let d = b - -413. What is the greatest common divisor of 328 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = i - 45. Find the third derivative of -43 + 174*p**5 - 156*p**2 - 36 + i wrt p.\nAnswer: 10440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 4187*d + 8. Is o(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m**2 - 3*m + 3*m + 0*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 22*i + 3. Let t(a) = -31*a - 4. Let r = -342 - -349. Let u(x) = r*w(x) + 5*t(x). Let c(b) = 1. Give 3*c(l) - u(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 4*r + 2. Let l(p) = p**3 + 7*p**2 + 6*p. Let x be l(-4). Let d = x - 17. Let w(t) = -9*t - 5. Calculate d*u(h) + 3*w(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2247 + -0.0647. Suppose 2 - 6 = 4*u. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i - 4. Let d(o) = -o - 1. Let s(h) = 4*d(h) - l(h). Let n be (-6)\/(-4) + 1\/2. Let v(q) = 2*q - 2*q - n*q. What is s(v(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qdd when three letters picked without replacement from {d: 7, q: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(16)\/((sqrt(120)\/sqrt(5) + sqrt(24))\/sqrt(3)))**2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/7, -1, -2, 1\/9, 0.5 in increasing order.\nAnswer: -2, -1, 1\/9, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 88885652 divided by 4?\nAnswer: 22221413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/18 + 59\/(-3). Let p = j + 116. Suppose -3*n - 21 = -p. 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 remainder when 2084377 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 57 - 55. Let o be s + 0 + -4 - (1 - 17). Suppose 0 = -o*d + 17*d - 18. Solve 0*v - d = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12801093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 94*v = -6*v - 200 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 183869, 183870, 183871, 183872, 183873, 183874?\n\"Answer: l + 183868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 AM and 1:24 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 820504 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 3817, 3792, 3767, 3742?\n\"Answer: -25*b + 3842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, d: 1, a: 2, f: 5, c: 10}. Give prob of picking 2 f.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + -2)\/((-33)\/33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000005863 rounded to 7 dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 26a - -15?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13 + -213322?\nAnswer: -220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 118, 231, 332, 415, 474, 503, 496, 447?\n\"Answer: -h**3 + 120*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 147 + -734\/5. Sort -1, -2, -9, n in decreasing order.\nAnswer: n, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-13)\/34 + (-2)\/(-4). Let i = 515 + -467. Suppose 9*y - 39 = -i. Is y less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -132 + 186. Suppose -4*n + 112 = 4*j, 2*n = -n + 3*j + b. Suppose 1 = 2*g - n. Calculate the remainder when 19 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/45588 and -27\/16?\nAnswer: 182352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 0.1 (c) 1.45 (d) 2 (e) -4 (f) 12.88 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 127*l - 11197 + 3704 = 0. Solve -3*x + 18 = -61*f + l*f, 7 = -f + x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -1568?\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nbxbbnnennnbxn. Give prob of picking 1 b, 2 x, and 1 e.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/8)\/(((-306)\/18)\/85)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10871 is divided by 1762.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -5*4*6*-3*sqrt(448))**2.\nAnswer: -28800*sqrt(7) + 58060825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = c + 1. Let u(k) = 8*k**2 - 16*k - 16. Give 16*s(h) + u(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 34? (a) -3 (b) 3\/7 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -184, -174, -160, -142, -120?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -6*l**2 - 17*l + 8. Let f(s) = 2*s**2 + 6*s - 3. Let q(g) = -8*f(g) - 3*n(g). Let k be q(-2). Factor -o**2 + o - k*o + 3*o.\nAnswer: -o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18.09 - 18. Let y = -6351\/115 - 740\/23. Let i = -87 - y. What is the second biggest value in i, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67243, -67240, -67229, -67204, -67159, -67088?\nAnswer: -66985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 10052 - 12854 = -4*b, -3*b + 3*j + 17175 = 0. What are the prime factors of b?\nAnswer: 2, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 2*k - 4. Let l be b(8). Let o = l - 13. Is 42 + o + (3 - 4) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3.4 + 0.6. Let t = n + -3.5. Which is the nearest to 1\/4? (a) t (b) 3\/8 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3531602 = -2*w + 2*q + 91596, q = -2*w - 3439997. Round w to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 37435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 6*y + 9. Let f be o(5). Let w = -35 + f. Is (-32)\/16 - (-2)\/(w\/50) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 31761 - 31727. What is the remainder when 17644 is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes before 11:02 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 271*t - 812*t - 340*t to p*t + q and give p.\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 5:07 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 12*u + 237. Give d(-25).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*s = 10*s + 63. Let m(b) = b**3 - 9*b**2 + 4*b - 22. Let k be m(s). What is the greatest common factor of 56 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36.4 - 36.3. What is the smallest value in o, -3\/7, -0.5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -524 - -526. Let f(v) = v**3 + 6*v**2 - 3*v - 3. Let t be f(-6). Put t, -3, y in ascending order.\nAnswer: -3, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 9495 and 59.04.\nAnswer: 9554.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*m**2 - 16*m**2 - 6*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1244024 (base 5) to base 8\nAnswer: 60471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -4*a**2 + 3*a**2 + 3*a**2 + a**2 + a**2 - 3*a**2 + (-3 + 2 - 1)*(-a**2 - 4 + a**2 - 2*a**2) in the form d*a**2 + o*a + v and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1123 is divided by 87?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (656\/246)\/(4\/30)*4\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3, 20, -164, 29 in decreasing order.\nAnswer: 29, 20, 3, 1, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -53 by 4.\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 4, d: 3, k: 2}. What is prob of sequence dwkk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7007 and 17199.\nAnswer: 189189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 143 - -12232?\nAnswer: 12430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 22566007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 + 15*n**2 - 7*n - 18. What is the remainder when 181 is divided by l(14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41773 is divided by 8343.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*s = -59*s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1dbb749 (base 14) to base 9.\nAnswer: 31154403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*w**2\/3 - 14*w + 90.\nAnswer: -2*(w + 9)*(4*w - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 5*x + 334. Give g(-34).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8945\/3 + -2984. What is the common denominator of o and 244\/(-6)*(-15)\/100?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of w**5\/30 + w**2\/2 - 6. Let y(m) be the second derivative of a(m). Let x(s) = -13*s**2. Determine y(x(p)).\nAnswer: 338*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/19 in 0.1, -136, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 28045 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 49559400*v**4*x - 3*v**2 - 114580129*x wrt v.\nAnswer: 1189425600*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-28)\/(-10) - (63\/(-15) - -4). Suppose i*f + 2765 = 5*h, 15 = -13*f + 10*f. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 70 = -10*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -17*o - 25. Let m be d(5). Let y be (4 - (3 + -2 + 5)) + m. Does 24 divide 5 + -1 + (4 - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kl when two letters picked without replacement from {a: 4, l: 2, k: 10}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47631 is divided by 4763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.013 + 12.987. Let f = r - 12.5. Let m = -0.06 - 0.04. Sort f, 0, m.\nAnswer: m, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -32*a**2 - 4484244*a - 2802640 = 0.\nAnswer: -140132, -5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2943 = 3*n - 3*h, 288 = -4*n - 4*h + 4244. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 + -3. Let d(j) = -u*j + 3*j - 1 + 6*j. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*l + 2*l - 5*l)*((-5 + 4 - 5 + (-1 + 1 - 1)*(-3 + 4 - 3))*(2 + 3 - 6) + (-3 + 1 + 0)*(1 - 2 + 2) + 2 - 2 - 1).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 3)*(-252*l - 610*l**3 + 252*l).\nAnswer: -1220*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(0 + 1)*-5. Suppose 0 = -4*d - 5*k + 169, k - 4*k - 57 = -2*d. Let r = d - p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 4 and -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.01 - -5. Let g = n - -0.01. Let l = -28.8 + 29.3. What is the closest to 0.1 in -3, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by -13111?\nAnswer: -1\/13111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xpx when three letters picked without replacement from {x: 9, p: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 16970084179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -113*i = -122*i + d - 58, -3*d = -i - 96 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -438 (b) 0.5 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 4*p + 23. Let r(v) = 3*v + 23. Let l(b) = -6*h(b) + 7*r(b). Let d be l(8). Is d != -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 145*a**3 - 9*a**2 + 12*a + 17. Is l(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 5162 = -31*m. Let i = 7111 - 113827\/16. Calculate the common denominator of i and m\/(-80) + 73\/584.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/((-1)\/(-2)*2). Let h = -166 + 667\/4. What is the closest to a in -2\/3, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 185a6b2 (base 12) to base 14.\nAnswer: 96a138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*b + 374 + 5*b - 322.\nAnswer: -9*b + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4105 - -6197. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2098.1 - -2100.1. Put s, -3.24, -2\/9 in ascending order.\nAnswer: -3.24, -2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9994148*m**2 + 9121828 wrt m.\nAnswer: 19988296*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2*z + 23. Let f be j(-11). Solve -3*r - 23 = 2*i, 2*r + i + 15 = f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -74, -152, -242, -350, -482, -644, -842, -1082?\n\"Answer: -l**3 - 71*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 161820407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -12101111102 (base 3) to base 12\nAnswer: -5146b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 55, 6, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 52 - 60 - (-2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (4\/(-6))\/(-4*(-9)\/(-162)). Let n = 11.3 - 11.1. Sort n, g, 3\/2, 2 in descending order.\nAnswer: g, 2, 3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-4 + (-1558)\/(-369)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 8968398?\nAnswer: -26905194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -3*k**3 + k + 6. Let c(z) = -3*z**3 + z + 5. Let i be -4 - (-3 + 8)\/(2\/(-4)). Determine i*c(w) - 5*d(w).\nAnswer: -3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 - 5*c**2 - 5*c + 10. Let k be z(6). Let h be 24\/10 + k\/(-40). Let f(g) = -2 + 5 - h + 5 + g. Give f(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 PM and 2:44 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 389979489 to the power of 1\/2, to the nearest integer?\nAnswer: 19748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/17)\/(55 - 52).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.4 (c) 0.1 (d) -287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 12105205 by -2421041.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8831776 is divided by 4248.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 3*s + 4. Let b be y(6). Let r = -11 + 1. Let u = r + b. Calculate the lowest common multiple of u and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + f - 4*j + 7 = 0, 3*j = -2*f - 14. Let k(d) = d + 2. Give k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/7 and -47\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-5)\/(-2) + (-1)\/2. Let v be -14*1\/b - -1. Let y(r) = r**2 + 6*r - 6. Give y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-120)\/45*(-6)\/4. Let v be -1*10\/(-6)*(-12)\/t. Which is the nearest to 0.2? (a) 1 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*c + 14 = -17*c. Suppose 4*t + c - 31 = 0. Suppose t*g - 2 = 5*g. Calculate the lowest common multiple of 9 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2\/13 - 38140*k\/13 - 38138\/13.\nAnswer: -2*(k + 1)*(k + 19069)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2078692 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -10 divided by -34\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38764 + 6.\nAnswer: 38770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 7 - 1 - 60*p - 64*p. Suppose 2 = 3*l - 5*h, -2 = -l + h - 0. Let y be d(l). Round y to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 7084*q**2 - 49587*q - 12. What is f(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d + x + 3*x + 13, 5*x - 4 = -3*d. Suppose -2*u = d*w - 12, u + 21 = 3*w + 6*u. Solve 0 = 3*y - 1 - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29169 is divided by 512.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.129 and -0.8.\nAnswer: 0.1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 2103 (base 4) to base 5.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 - 24*o**2 + 2*o - 23. Let u be i(24). Suppose 5*d = -a + u, 2*a - 7*a + 41 = 4*d. Solve 0*n = -n + a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -222908061*p**4 + 2*p**2 - 191882*p - 112?\nAnswer: -5349793464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7*(-36)\/(-336))\/(2\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.331253 rounded to 2 dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*u - 13*u - 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**2 - 16*h + 20. Let w = -24 + 39. Let d be a(w). Suppose 2*c - 33 = d. What is the remainder when 37 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 5*i = 40, 12*p + 294 - 383 = -5*i for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6858 divided by 118433.\nAnswer: -6858\/118433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 10181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 10497.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.1 and -10.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20123, 40911, 62335, 84401, 107115, 130483, 154511, 179205?\nAnswer: 204571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 50, 40, 32, 26, 22, 20, 20?\n\"Answer: i**2 - 13*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 34302900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be (9 - 3)\/(0 - -2). Let k be (1 - 0)\/((-2)\/38). Let f be (0 - k) + 0 + 2. What is the highest common factor of o and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36*g**2 - 1 + 61*g**2 + 4 - 3.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*n + 6 = 91*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26 + -17. Suppose q*f = 4*f - 4*o - 17, 0 = 5*f - 5*o - 10. Is 7 a factor of (-1)\/2*-30 + f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 2 e when four letters picked without replacement from {i: 11, e: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -0.042 (b) -0.5 (c) 0.2 (d) 61 (e) -937\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 398708 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o + 4 - 6 + 2*o + 9. Let x be u(-6). Let m(s) be the second derivative of 9*s**5\/20 + s**2\/2 + s. Determine m(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 91 and 6713603?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -2*u**3 + 3*u**2 - 2*u + 3. Let f be k(2). Let w = 9 + f. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -10*k**2 + 5*k - 5. Suppose -j + 28 - 4 = 0. Let f(r) = -51*r**2 + 24*r - 24. Let s(y) = j*p(y) - 5*f(y). Let i(w) = -w**2. Determine s(i(d)).\nAnswer: 15*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 632348482 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*v**2*w - v**2 + 9046*v - 153025*w wrt v?\nAnswer: 6*v*w - 2*v + 9046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2101387 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 3*h + 4011 = 0, -5*h = -4*n - 4*h + 7997. List the prime factors of n.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 90960 and 726543.\nAnswer: 58123440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(((-45)\/30)\/((-1)\/(-1)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 2\/3, -2, -54468 in descending order.\nAnswer: 2\/3, 1\/2, -2, -54468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p - 2. Let t = 4070 - 4070. What is l(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1108*x - 9770524 + 29*x**2 - 1108*x + 9770524.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**(-3\/4))\/(t**(-3\/5)\/t))\/(t\/(t*t*t**(2\/5)))**(14\/11)*(t**1)**(-3)*t**(-3\/4)*t\/t**(-2\/13) assuming t is positive.\nAnswer: t**(1813\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 7361 = -5*a + 4*l, 5*a = 4*l + 7363. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 17 - 0 - (9 + 3). Solve l*a - 16 = 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w**2 + 9*w - 3. Let a = 20 + -28. Is 9 a factor of p(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f - 4*k = -4*f, 0 = -4*f - 2*k + 4. Suppose i + 5*v - 24 = -f, -3*i + v + 18 = 0. Solve 3*j - i*j - 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -42, -318, -1052, -2472, -4806?\n\"Answer: -38*a**3 - a**2 - 7*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 PM and 1:24 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 - 4*j**2 + 2*j - 5. Let m be x(4). Suppose -m*h - 95 = -8*h. Solve h = 4*f - z, 3 = 3*f + 6*z - 3*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 2 z, and 1 x when four letters picked without replacement from xzzhhhzxxhh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 6456 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (((-9)\/(-6))\/(-3))\/((-1)\/6). Suppose -r + 3147 = 2*r - 5*h, -t*r = -3*h - 3147. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (22\/(-99))\/((-66)\/(-5049))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -21264 take away 12966?\nAnswer: -34230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -6666, -6543, -6420, -6297, -6174, -6051?\n\"Answer: 123*o - 6789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(77)*3)\/(5*sqrt(99) - sqrt(11)).\nAnswer: 3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 10, 215, -2 in decreasing order.\nAnswer: 215, 10, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 734897*l - 16 + 39 - 24. Let z be b(-8). Let f = 11379177 + z. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 230 and 1886?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c + 2*c - c + (0 + 6 - 4)*(2*c - 3*c + 4*c) + 4*c + 0*c - 6*c + 6*c + 9 - 9 + (0*c - 2*c + 0*c)*(4 + 2 - 4).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 175549 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -2*f + 18, 0 = -0*t + 2*t - 2*f - 14. Suppose 13*d - t = 9*d. Which is the closest to d? (a) 2 (b) -2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7 + -1. Let r be (-3 - 0)*(-4)\/n. Suppose r*c - 3*d + 2 - 1 = 0, c + d - 12 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**2 + 6*u - 5. Suppose 4*c = 28 + 108. Let f = c - -10. Let n = -50 + f. Give i(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/6)\/(14\/(-105))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -70*l + 70*l - 10*l**4 + (l**3 - 3*l**3 + l**3)*(-l + 2*l + 0*l) - 5 + 8*l**4 + 5.\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cggconms. What is prob of sequence scc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -4*n**2. Let g(z) = 23*z. Determine g(k(d)).\nAnswer: -92*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 59, 17, 5.\nAnswer: -1, 5, 17, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve v + 10*h - 5*h + 6 = 27, 6*v + 3*h - 45 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9362908?\nAnswer: 2, 2340727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 5*i + 7*i + 17*i + 18*i in the form t + y*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1139052708 to the power of 1\/3, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 1180 divide 29821199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -294 = 10*q - 264. Which is greater: q or 1\/129?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10372 + 19966 = 8*j + 3210. Is 3392 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose r + 7 = a - r, 3*a - 5 = -2*r. Suppose -9 + n**3 - 6*n - 2*n**3 + 5 + a*n**3 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 201202221222100 (base 3) in base 8?\nAnswer: 50057227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 249493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -14.6, -3, -644, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -33? (a) 1\/9 (b) -3\/2 (c) 356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -111*o**5 - 198*o**4 + 4*o**3 - 45*o**2 - 1384*o + 23?\nAnswer: -6660*o**2 - 4752*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/91 and -62\/91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + -2 + 32 - ((44 - 83) + 28)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**2 + 34. Let u(l) be the second derivative of -l**4\/3 + 85*l + 12. Give m(u(j)).\nAnswer: 16*j**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-288)\/(-120))\/(21\/(-70))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from jpxbttobttjtbxjtt.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 3:28 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/21)*s**(2\/15))\/((((s*s\/(s*s**(3\/5)))\/s)\/s)\/s)**(-26\/5) assuming s is positive.\nAnswer: s**(-2326\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -2290*d - 5247*d - 9397*d - 8764*d - 2624*d + (1 + 0 + 2)*(-5*d - d + 5*d) as h*d + j and give h.\nAnswer: -28325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/3, -0.1, -16, 0.3, -0.0382?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000001111001010001111001 + -101?\nAnswer: -1000001111001010001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -227 (base 8) in base 5?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times -10.7\nAnswer: 5.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -47465\/4 - -11775. Let w = 83 + p. Find the common denominator of 4\/(-2) + (-186)\/8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (-6)\/9*6\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**13)**(10\/7)\/((k\/k**(4\/5))\/k**(3\/4)))**(-42) assuming k is positive.\nAnswer: k**(-8031\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 + -3. Let h = 8 - n. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -256, -235, -204, -157, -88, 9, 140, 311?\n\"Answer: r**3 - r**2 + 17*r - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**2 - 6*x - 46. Let l be w(-5). What is the third derivative of -l*z**4 + 4*z**2 - 16*z**4 - 22*z**2 wrt z?\nAnswer: -600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the first derivative of 0*g - 10\/3*g**3 + 2*g**5 + 0*g**4 - 5\/2*g**2 - 20 + 5\/6*g**6. Find z, given that t(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -977\/3, 2489, 1\/10?\nAnswer: -977\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 389 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1684617 is divided by 561407.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of 2\/3*k**6 + 5\/7*k**7 + 0*k**5 + 0*k**4 + 20\/3*k**3 - 1\/2*k**2 - 111 + 0*k. What is the third derivative of j(w) wrt w?\nAnswer: 600*w**3 + 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-u - 1 + 1)*(4885 - 158 + 1843)*(1 - 2 + 0) to the form x + l*u and give l.\nAnswer: 6570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -10. Let s = -3.49 + -0.01. Let j = s - -0.5. Sort m, j, 5 in increasing order.\nAnswer: j, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -22 times 0.11\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/7, -1\/4, 308, -1.1, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zxwx when four letters picked without replacement from qwxzqqx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and (-8 - -11)\/((-3)\/20*-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 PM and 10:39 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, h: 4}. What is prob of picking 1 h and 2 s?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 533 by 1.\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.2 or 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(684) + 0)**2 - (sqrt(684) + (sqrt(684) - (sqrt(684) + 0)**2)*-5 + sqrt(684))) + 5 + 4*(sqrt(684) + -1)**2*3*-6.\nAnswer: -52050 + 882*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -3*d**3 - 6*d**2 - 2*d + 4. Let b(n) = 2*n**3 + 3*n**2 + n - 2. Determine 5*b(k) + 3*y(k).\nAnswer: k**3 - 3*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1.659164 kilograms in milligrams?\nAnswer: 1659164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (4 - 26) + (-4 - -27) + -27\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w**3 - 45*w**2 + 144*w - 132 = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 210891.\nAnswer: 1687128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 27 + -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -63*l + 1384. Let m be b(22). Let v(x) = -16*x - 9. What is v(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 15*v**2 + 52*v + 152. Determine p(-3).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28188732 and 11154?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -9*h + 8*h. Suppose 170 + 30 = 5*m. What is the smallest common multiple of m and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/(-1))\/2 - -8. Let i(z) = 4*z - 2*z - 4*z - 8 - 2*z. Let n(l) = l + 2. Give a*n(p) + 2*i(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j - 5. Let c(k) be the second derivative of k**3\/6 - 2*k**2 + 5*k. Give 5*c(n) - 4*d(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/1294 or 0?\nAnswer: -3\/1294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 88946 and 4524?\nAnswer: 15476604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/9 (b) -5\/3 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 131968522 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5242 (b) 0.24 (c) -2\/3 (d) -8 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1901259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 2071, 2, 5 in increasing order.\nAnswer: 2, 5, 2071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -351 = -3*i + c - 3*c, 4*i - 485 = 3*c. Suppose n = -k - 5 + 24, i = 5*k - 3*n. Calculate the greatest common factor of 55 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 453.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j. Let f(g) = 74*g - 50. Determine f(s(r)).\nAnswer: -74*r - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 15*l - 2. Determine n(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) 2 (b) 0.3 (c) -1 (d) -3.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/3, -69, 1\/2, -134, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(125) + 1)**2 + 2*sqrt(35)\/(sqrt(35)\/sqrt(5)).\nAnswer: -28*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of -3*a**3\/2 - 2*a - 129. Let x(r) = 10*r**2. What is x(y(w))?\nAnswer: 810*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-3\/5)\/l*l**2*l)**(3\/40)*((l*l**(-3\/8))\/(l*l**(-2)*l*l))\/((l\/(l**0\/l))\/l**1) assuming l is positive.\nAnswer: l**(-127\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 17155988945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -57 - 861\/(-12) - 1\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 10 = 0, 2*c + 14 = 4*c + 5*g. Suppose -4*h + 35 = k, 50 = 4*h - 0*k - c*k. Let f be (4\/h)\/((-2)\/(-70)). What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 + -6aab?\nAnswer: -6aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-8)\/6)\/((-8)\/(-132)). Let f be (11\/k)\/(1\/(-10)). Let g be (-1)\/3*(-4 - f). Solve 0 = 4*d - d - x + 2, -3*d + g*x = 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 2 + 10. Suppose -4*t + 17 + 23 = 0. Calculate the lowest common multiple of (-88)\/(-9) + c\/18 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*s**5 - 2947*s**4 - 30413*s**3 - 99537*s**2 - 102042*s + 11880 = 0. What is s?\nAnswer: -4, -3, 2\/19, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 10.84 less than 0.7?\nAnswer: -10.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -68\/45, -6, -13\/6 in increasing order.\nAnswer: -6, -4, -13\/6, -68\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 39.816956 rounded to 1 dp?\nAnswer: 39.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in sixty-seven quarters of a tonne?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-99)\/(-44))\/(6\/(-80)). Let g be ((-5)\/b)\/((-100)\/36 - -3). What is the closest to -0.1 in -4, -1\/7, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 397 (b) 2\/5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 89807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8406 and 22.\nAnswer: 92466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2023)\/187 + 14 + -3. Sort 0.6, -0.5, -4, 0.4, r in increasing order.\nAnswer: -4, -0.5, r, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-4484)\/(-2736))\/((-51)\/9) and -45\/28?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 689771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-235.55\nAnswer: 117.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3 - 8)\/(5\/(-2)). Let j(n) = 8*n - 1. Let m be j(2). Suppose -y*x + m = -155. List the prime factors of x.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 + -2 - 508000)*(-48 - -49). What is x rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1766*z + 1767*z + 2*x = -5*x + 53, 0 = -4*z + 5*x + 47 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1276*37\/(-13024)*16?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -v + v**2 + v + (-5*v - 4*v + v)*(3 - 6*v + v + 3*v).\nAnswer: 17*v**2 - 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + s + 17 = 3*s, -3*t = 3*s + 6. Let w = 1 - t. Suppose 5*m - 4*k = w + 27, 3*k + 27 = 5*m. Solve m = 2*q + 3*r - 5, -q + r = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 32\/1*(-2 + 3). Let a be (-10)\/1*w\/4. Round a to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-4)\/(-6))\/(4\/48). Let j be -2 + 4 - -18 - (1 + 0). Let u = -3 + j. What is the highest common factor of n and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/((408\/162)\/17). Solve -21 = 3*h - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/2)\/(6\/12). Let q be -1 + (1 + 2)*2. Solve -12 = -u - 8*w + i*w, 3*u - q*w = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 19\/4 - (0 + (-2)\/8). Suppose -56 = -i*a + 34. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the third derivative of -s**6\/60 - 19*s**5\/15 - 425*s**4\/12 - 1156*s**3\/3 - 60*s**2 - 1. Factor h(l).\nAnswer: -2*(l + 4)*(l + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (197 - 41 + 15)*(2*u**2 + u**2 - 2*u**2) to c + h*u + m*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(((-1518)\/(-44))\/(-69)*22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2216, -9\/7, -0.5 in ascending order.\nAnswer: -2216, -9\/7, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 553*j + 1059*j + 613*j - 61053 - 30172 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -221 + 10200230211?\nAnswer: 10200223330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 4892.943 millennia to decades.\nAnswer: 489294.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42, 43, 44, 45, 46?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*b = -0*b - 36. Suppose -5322 = -4*h + 2*h. Suppose b*w + o - 4536 = 0, -3*w = 3*o - 750 - h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 798007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21364\/7630 + (4 - 471\/(-5)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -3*b - 3. Let f be q(-2). Let y be f - (87\/12 + -3). What is the biggest value in -0.2, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 568341493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14967496 or -14967497?\nAnswer: -14967497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -194436, -389052, -583668, -778284?\nAnswer: -972900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1 (b) 3 (c) -0.267 (d) 4\/9 (e) 0.2 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(44) - (sqrt(539) + -1 + sqrt(539)))*-1*6*1)**2.\nAnswer: 864*sqrt(11) + 57060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 10 - 1 = 0. Let b(p) = -550*p + 3. Let d be b(z). Let u = d - -29755\/6. Find the common denominator of 19\/2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7300 is divided by 2399.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-35)\/(-25)*((-4)\/(-18))\/(256\/960)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 632 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -9259 (base 10) in base 9?\nAnswer: -13627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5+-73213337.574\nAnswer: -73213332.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48*c - 565 + 50*c - 159.\nAnswer: 2*c - 724","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - ((-3 - -1) + -7 + 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14343 - 33069 = -27*i. Are i and 1755 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-11)\/(-2)*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**2 + 4*t. Let m be b(3). Suppose 5*l - l - 15 = -m*o, -2*o = l - 10. Suppose -r + 7 + 8 = l. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24010, 24008, 24006, 24004, 24002, 24000?\nAnswer: 23998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z and 1 i when four letters picked without replacement from ibiziiziziizz?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 + 10*y - 26. Suppose -17 = -3*i - 2*x - 2*x, 0 = -4*x - 16. Is a(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*l + 1 - 5 - 9 + 3.\nAnswer: 5*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - (12 + -5))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4530, -1\/3, -6.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2, 245, -48?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -w + 115 + 5, 3*w - 369 = 3*r. Let c = w + -123. Solve 0 = 4*y - c*u + 4*u + 25, -y = -2*u - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q = -0.8 - -0.3. Let n = 21436 - 21431. Which is the nearest to 11? (a) -2\/5 (b) q (c) -2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (84 - 1) + 35066 + -35290\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2436510 (base 7) in base 4?\nAnswer: -1030023213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1635693 is divided by 1285?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-21) + (-1 - -2)\/((-98)\/(-42205002)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 998 = 2*g, 0 = g - 81*v + 82*v - 497. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w + 899 + 1417. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.05443303 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60 and 117602070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15084 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 69653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 29780 and 25100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 941 + 911 = 0. Let k(l) = -l - 6. Calculate k(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 0, -1, -3.\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13212.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/(-35)*(-1)\/1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -85*b - 4512. Calculate x(-53).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 48 = 32. Calculate the greatest common divisor of m and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 5*z**2 - 62*z + 4. Let v(f) = 4*f**2 - 59*f + 3. What is -2*h(s) + 3*v(s)?\nAnswer: 2*s**2 - 53*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 141*q - 96 = 3*i + 117*q, 4*q = 3*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2313.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 76653245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -103\/144 and 161\/36192.\nAnswer: 108576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1093868, 1093893, 1093914, 1093931, 1093944, 1093953, 1093958?\nAnswer: 1093959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 9556.44 grams?\nAnswer: 9556440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2.850343 or 34\/3?\nAnswer: 2.850343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -208.62 + 208.6. Let t = 567\/8 + -71. Which is the closest to m? (a) 2 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 4. Let s(k) = 50*k - 3. Let f be s(z). Let r = f + 120. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence erbv when four letters picked without replacement from {e: 1, k: 1, b: 1, v: 1, r: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 12 = 5*p. Let i = -466 + 467. Put i, p, -7 in descending order.\nAnswer: i, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(4\/7)*v**8*v)\/((v*v**3)\/v**(1\/5))*(v**(-2\/21)*(v\/v**4)\/v)**(-25) assuming v is positive.\nAnswer: v**(11356\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 5*p**2 - p + 1. Let g = 407 - 410. Let v(w) = w**2 - w + 1. What is g*v(c) + b(c)?\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k. Let t(m) be the third derivative of 23*m**4\/12 - 4*m**3\/3 + 163*m**2. What is t(r(b))?\nAnswer: -46*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 72, 47, -32, -195, -472, -893, -1488, -2287?\nAnswer: -3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.03, -341, -9\/470 in increasing order.\nAnswer: -341, -9\/470, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 64*f**3 + f**2 - 4*f. Let t(l) = -24*l - 819. Let i be t(-34). Let k(n) = 64*n**3 + n**2 - 3*n. Give i*r(m) + 4*k(m).\nAnswer: 64*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 18\/4*148 - (-1)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14611041\/20 - 730724. Let i = 172 + m. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 222*q - 34 + 43714 = -2083*q + 121*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -176*m**2. Let n(w) = 1451585*w + 2. Give n(o(v)).\nAnswer: -255478960*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 1. Let b be 134\/6 + (-2)\/(-3). Suppose m = -z + b. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 6 - 2. Let g be (-6)\/(-5)*(-100)\/(-45). Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6.895474 to two decimal places.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-77 + 77 + 12*s)*(-4 + 1 + 1)*(-50 + 19 - 30) in the form c + y*s and give y.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - n + 1)*(0 + 0 + 2*n**2 + 5*n**2 + 0*n**2 - 11*n**2 + (5*n - 2*n - 4*n)*(-5*n + 0*n + 2*n)).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1285390743 to the power of 1\/2, to the nearest integer?\nAnswer: 35852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 47377049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 3, j: 2, m: 3}. What is prob of sequence wj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 269443 is divided by 33680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 73 + -41. What is the greatest common factor of 224 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 65929 = -4*u, 2*u - 32957 = -q - 0*q. List the prime factors of u.\nAnswer: 2, 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 198 divided by 2?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(sqrt(7) - (sqrt(700)*2 + sqrt(700))).\nAnswer: -sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -9\/5, -2, -6, 26907?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 2*f - 4*p + 20 = 0, -4*p + 20 = 0. Let x(o) = -o**3 + 9*o**2. Let g be x(8). List the prime factors of (g\/12 + f)\/(2\/30).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 4, d: 1, l: 2, h: 3}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40041376 = -11*q - 12277376. What is q rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*k**3 + 3589612*k**2 + 2066709*k + 4 wrt k?\nAnswer: -18*k + 7179224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10 - -15. Solve 0 = w*n - j + 3, 3*n - n - 6 = 4*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (31\/(-62)*8\/52)\/(((-12)\/(-3))\/24)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 21.10077 kilometers to nanometers.\nAnswer: 21100770000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -11 - ((0 - 7) + 58 - -4 - 12).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6937761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum 121122 and 612.08.\nAnswer: 121734.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 - 19*a**2 + 2*a - 15. Give l(19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange g + 3*g**4 + 10*g**4 + 16*g**3 + 1 - 2*g**2 - 20*g**3 - 16*g**4 to w*g**3 + f + x*g**4 + m*g**2 + u*g and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1958.66 rounded to the nearest integer?\nAnswer: -1959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000003378482 rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 - (-4)\/(2 - 3). Let b(t) = 11*t + 183 - 724 + 183 + 175 + 179. Calculate b(u).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/1210476 and 77\/60.\nAnswer: 6052380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1278414467?\nAnswer: 11, 17, 43, 173, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1021 + 2*g - 4*g + 343.\nAnswer: -2*g - 678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -20497818 - 2?\nAnswer: -2049781a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 0.05, 0.1, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000145195993 to 7 dps.\nAnswer: -0.0001452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -8541*h**2\/7 + 8535*h\/7 + 6\/7.\nAnswer: -3*(h - 1)*(2847*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) -17\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) 27 (c) 1 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 21 = -4*y, -4*y = -3*m + 3 + 20. Let u = -2.13 - -0.13. What is the smallest value in u, -1, m, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3772, -7627, -11482, -15337, -19192?\nAnswer: -23047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 + -10443027?\nAnswer: -10443024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -73764, -73766, -73768, -73770, -73772?\n\"Answer: -2*k - 73762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -1 + 2. Let d(v) = 1 + v**2 + 4*v**2 + v - 4*v**2. Let l(x) = x**2 + 3*x + 1. Let g be l(-1). Let t(s) = s + 1. Calculate g*t(h) + r*d(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 469*j**2 + j. Let u be m(1). Suppose 0 = 3*p + 5*y - 0*y + 349, -2*y = 4*p + u. Let n = p + 170. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -113*g - 39*g + 54*g - 2156 = 0 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 4*c + 2. Suppose 0 = h + 2*p - 7, 6 = -3*h - p + 17. Let y be (h - -7) + -3 + -1. Let n(b) = -9*b - 4. Give y*n(d) + 13*t(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.09 and -35?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n = -215 - 121. Calculate the greatest common divisor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**3 + 11*c**2 - 15*c + 9. Suppose 20*v - 15*v - 5 = 0. Let a be v + 77\/(-6) + (-33)\/198. What are the prime factors of n(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, 11, 1.7.\nAnswer: -1, 1, 1.7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.11 and 1313.\nAnswer: -1457.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 8*i - 3254095, -4*i - 298*n + 1627055 = -297*n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/19687? (a) 5 (b) -0.3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*c - 3*c + 6. Let n(q) = 11*q**2 - 2*q + 1. Is n(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 721 - 88662389.09\nAnswer: -88661668.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(4\/5)*(((u*u**(2\/3))\/u)\/u)\/u*u*((u**(-2\/25)*u)\/u)\/((u\/((u*u**(-1\/2)*u)\/u))\/u) assuming u is positive.\nAnswer: u**(133\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 328105303 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(1\/10)*w*w\/(w\/w**14)*(w\/(w\/(((w\/(w\/w**(1\/2)))\/w)\/w))*w*w*w)**(-8))**(-33) assuming w is positive.\nAnswer: w**(-1023\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 104*z**2 + 6*z - 1. Let u be h(-2). Suppose -3*m + 8*m = -i + 397, 0 = 5*m - i - u. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2186.22 and -601734?\nAnswer: 603920.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 - 5*t**2 - 2*t - 5. Let n be p(-5). Let h = 873\/7 + -125. Let d be 1 + 0 + 1\/(-3). Which is the closest to h? (a) d (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 243 and 25488?\nAnswer: 229392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -26 + 46?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -17*i**3 - 4*i**2 - 7*i**3 + 2*i**3 - 2*i**2 wrt i.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 24*p - 21*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1002 (base 5) to base 8\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9758185988 - 0.4?\nAnswer: 9758185987.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -204461 (base 13) in base 7?\nAnswer: -6251540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 78, 150, 224, 300, 378, 458, 540?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**2\/5 + 876*m\/5 + 59472\/5.\nAnswer: 2*(m + 84)*(m + 354)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6455685 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 213, 239, 265, 291, 317?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22725\/34 - 1337\/2. Let n = 0.2 - 0.3. Which is the nearest to n? (a) -4\/7 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32 and 864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 63.80274nm?\nAnswer: 0.00006380274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1477, 1466, 1455, 1444?\n\"Answer: -11*t + 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -43532?\nAnswer: -3\/43532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 2*i**2 - 11*i + 2. Let n be (-8)\/48*-6*-3. Let w(f) be the third derivative of f**5\/60 - 5*f**4\/24 + f**3\/6 - 9*f**2. Give n*v(z) + 7*w(z).\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 4778531 by 4778531.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2453165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (7 + 3) - (-2 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, 40, 63, 86, 109, 132?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2.48 and -545742668?\nAnswer: 545742670.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wcw when three letters picked without replacement from {l: 2, g: 1, c: 3, w: 3, k: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(3\/26))\/(m*m**28\/m*m*m) assuming m is positive.\nAnswer: m**(-757\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9474720275?\nAnswer: 5, 378988811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of -77*v**2 - 2*v - 1\/10*v**5 + 26\/3*v**4 + 0*v**3 - 60. Differentiate s(t) with respect to t.\nAnswer: -6*t**2 + 208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-1) + (-18)\/8*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:46 PM and 5:58 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -3*h**3 - h**2 + 1. Suppose 5*c - 15 = 0, -25 - 6 = -4*a - 5*c. What is the lowest common multiple of b(-1) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 31 = 11. Suppose y + 4 = 4*d + 4*j, -d + 5*j = 0. Suppose -12 = -4*p, d*p - 3*p = 5*x - 154. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -24.7 + 22.7. Which is the closest to 1? (a) 3 (b) r (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -168.2 - -182. Let i = 11.8 - p. Let m = 4 + -4.06. Which is the closest to -1? (a) 1 (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 8855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + 2\/(-1) + 190493. Suppose -5*j - w = 259509. Round j to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/4)\/(z*(z\/(z*z*z**(-2\/33)*z))\/z))**(-2\/97) assuming z is positive.\nAnswer: z**(-289\/6402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t. Let i(q) = -2*q**2 + 6*q + 5. Let a be ((-10)\/15)\/((-2)\/(-3)). Let y(r) = a*i(r) + 4*w(r). Is y(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-123)\/(-82)*(-1)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - 9 + 12. Suppose -h + 6*h = 2*l + p, 4*l + 3*h = 11. Is (-1)\/((-2)\/157)*l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 1, x: 8, h: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 191 + -195. Let g = -9 + 9.05. Let n = -0.95 - g. What is the second biggest value in 5, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {b: 2, z: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and 5945?\nAnswer: 23780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 607803347 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1 - 1) + (-5 + 1)*-1. Suppose -4016 + 1013 = -5*q + d, l*d = -12. Suppose -5*c = -3*o + 5*o - 372, 3*o - 3*c - q = 0. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 351294247?\nAnswer: 109, 3222883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -186*g + 547 - 175. Let l(w) = -15*w**3 + w + 2. Let v(z) = 31*z**3 - 3*z - 5. Determine g*v(d) + 5*l(d).\nAnswer: -13*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1028, -1027, -1026?\n\"Answer: m - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-2 - -1 - 0) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*t + 4*w, -2*t = -2*w + 4*w - 14. Suppose -t = -12*x + 11*x. Suppose u - 3*u + 2*k = 14, 5*k = -5*u - 15. Sort x, 3, u.\nAnswer: u, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 15 and 2481.\nAnswer: 12405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3060375519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x**3 - 3*x**2 - 5*x - 5. Determine j(4).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 121*m**2 - 41*m - 5. Let l(n) = -61*n**2 + 16*n + 2. Calculate -5*l(w) - 2*p(w).\nAnswer: 63*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.1 (c) 0.8 (d) 0.5 (e) 5\/83 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 867707213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*y - 20 = 31*y. What is the units digit of 132 - (y\/1 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 3*k - 1. What is s(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0322 - -1874503390.8.\nAnswer: 1874503390.8322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 - 6*k**2 + 6*k + 4. Let w(f) = -f**2 - 4*f + 1. Let b be w(-3). Suppose -r - 2*j + 4 = r, b*r - 35 = 5*j. Determine p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 77*q + 18. Let x be v(6). Calculate the common denominator of (-894)\/x + (-3)\/15 and 139\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -9*z**2 - 22*z. Let q be 1*18\/(-6) + 9*(-1 + 2). Let y(x) = -8*x**2 - 21*x. Determine q*g(j) - 7*y(j).\nAnswer: 2*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 37384363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the second derivative of y**4\/12 + y**3\/6 + 167*y - 2. Let d(q) = -3*q**2 + 9*q**2 - q**2 + 7*q. Give d(t) - 3*x(t).\nAnswer: 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.0387 or -12933?\nAnswer: -0.0387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -375*t + 69*t + 2142. Let v(z) = 12*z**3 + 11*z**2 - 2. Let s(d) = 6*d**3 + 5*d**2 - 1. Let y(n) = n - 3. Let g be y(0). Determine g*v(c) + t*s(c).\nAnswer: 6*c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of -l**2 + l + 2. Let k be a(2). Is k\/6 + 231\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -2*z**2 + z - 7. Let m(n) = -9*n**2 + 17649*n - 25948464. Let s(o) = 3*j(o) - m(o). Let s(l) = 0. Calculate l.\nAnswer: 2941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 8699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 + 2*x + 7. Let s be o(-10). Are s and 87 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 50*m**3\/7 + 360*m**2\/7 + 858*m\/7 + 676\/7.\nAnswer: 2*(m + 2)*(5*m + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*(s*s**(2\/47)\/s)\/s)\/s**7)**1 assuming s is positive.\nAnswer: s**(-327\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -34, -3, 16, -2 in increasing order.\nAnswer: -34, -3, -2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 32 = 2*n, n - 5*b = 3*n + 4. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 69\/1120 and 57\/541916.\nAnswer: 151736480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the second derivative of -k**5\/20 - k**4 + k**2 + 6*k. Let h be q(-12). Solve -h*l + 13 = 3*i + 32, 29 = -3*i - 4*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 197020, 197010, 197000, 196990, 196980, 196970?\n\"Answer: -10*j + 197030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*v**2 + 66*v**3 + 1 - 65*v**3 - 4*v**2)*(4*v - 3*v + 0*v) to the form j*v + h*v**3 + b + o*v**4 + s*v**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2 + 7*a - 5. Let n be u(5). Suppose -n*q + 0*q + w + 99 = 0, 30 = 2*q + 2*w. Calculate the remainder when 74 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * 155500\nAnswer: 77750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be 13\/(-13)*(-4 - -3). Suppose j + 3*j + 30 = k, 0 = 5*k + 2*j - 40. Let a(o) = -o**3 + 10*o**2 - 2. Let u be a(k). Sort u, 2, s.\nAnswer: u, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/(-9))\/1*24\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -685 + 704. Suppose 159 = 2*l + c. Let u = 18 + -8. What is the greatest common divisor of l and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 551266.1 litres?\nAnswer: 551266100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w = -4*w - 3*c + 14, w + 4*c - 10 = 0. Factor 4\/11 - 2\/11*y**w + 2\/11*y.\nAnswer: -2*(y - 2)*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17949 = 3*z + 20*b - 22*b, 0 = -2*z - 5*b + 11947. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-16 - (-1 - 3)) + 1. Let a = 14 + c. Suppose 5*w - 546 = -j, -a*j - 2703 = -8*j + 2*w. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15588 = 5*g + 2*b, -19*g + 22*g - 9402 = 7*b. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 14\/3 + 3\/((-18)\/(-8)). Suppose -9*i + 150 = -q*i. Suppose -2*x + g + i = 0, 0*g = -3*x - 2*g + 82. Solve b - 5*n = x, -8 = -2*b - b + n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -2*f - 5. Calculate h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 418 + 346 = -38*p + 156 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -175 take away -17792953.976?\nAnswer: 17792778.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2. Let h(i) = -i**3 + 5*i**2 + i. Determine 3*h(q) - 15*z(q).\nAnswer: -3*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/4*(3*(-2)\/(-15))\/(35\/(-675)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 0.3, -6 in ascending order.\nAnswer: -6, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -z = 3*t - 4, 4*z + 3*t - 16 = -0*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -l + 9 = -2*r, -5*r - 2892*l + 2887*l = 45 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - (-2 - -1)\/1. Let c = -4145.72 - -4145.7. What is the nearest to c in q, -5, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-2)*m)**19*m**(-2\/5)*m*m*m*m*(m**(3\/2)\/m)\/m*m*m*m*m assuming m is positive.\nAnswer: m**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m**2 + 36 + 2*m - 26 + 0*m**2)*(10 + 30 - 23).\nAnswer: -34*m**2 + 34*m + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.598165l to millilitres.\nAnswer: 3598.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -6807b4 (base 14) to base 9.\nAnswer: -6578178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 32 or 98\/3?\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 67 - (7 + -6)\/(1\/1). Let q = p - 11. Let l = 288 - q. What are the prime factors of l?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2.486, 637, 0.5, -0.4, 0 in ascending order.\nAnswer: -0.4, 0, 0.5, 2.486, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 90358397, 90358405, 90358417, 90358433, 90358453, 90358477?\n\"Answer: 2*a**2 + 2*a + 90358393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-950)\/2185)\/(190\/(-1748))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8829 is divided by 626.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 18\/(-33) - (3 + 980\/(-22)). Solve -7 = -12*o + g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30\/(-195) + (-160)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 13558546 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -182432, -5, 18?\nAnswer: -182432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22038 - 22067. Which is the fifth biggest value? (a) 1.5 (b) 1\/3 (c) 3\/4 (d) z (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a + 3*i = 8, 4*i = 2*a + 9 - 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 757679 times 0.9?\nAnswer: 681911.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*i - 5*i = -f + 753, -i + 149 = f. What are the prime factors of i?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 24981 - 24574. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z = 2*l - 10, -5*z = -3*z - 2*l + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from mmmmmumm?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 14*h - 15*h + 1 - 3. Let f be z(-3). Let d = 0.8 - -4.2. What is the second biggest value in 4, f, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (279*q**3 - 279*q**3 - 31*q**5 - 3*q**5 + 3*q**5 - 3*q**5 + 4*q**5 + 2*q**5 - 5*q**5 + (-q + 3 - 3)*(-4*q**4 + 2*q**4 + q**4))*(-8 + 2 - 1).\nAnswer: 224*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 50*k**3 - k**2 + 335*k - 1684. Let v be q(5). Do 6217 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 24 - 25. Let z = -1\/35 - -8\/35. Let g = -62 - -60. Sort u, z, g in decreasing order.\nAnswer: z, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 50 + -46. Suppose -q = 2*n - 12. Solve 0*w - 2*m = n*w + 8, -5*w + 2*m + 8 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 3*s**2 + 35*s - 15. Let j be q(-12). Let r(i) = 3*i + 14. Calculate the remainder when r(j) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -2 + 2*w**2 - w**3 - w**2 - 288*w + 289*w + 3. Let o(r) = -4*r**3 - r**2 + 10*r + 5. Let c(u) = 15*n(u) - 3*o(u). Find z, given that c(z) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 3*w**3\/5 + 21*w**2\/5 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p - 4. Let w be r(-4). Let a = 495 + -485. Let v be (-8)\/a*65\/(-26). Solve 0*n = v*o - 2*n + 8, w = -o - n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 45.6771 nanoseconds?\nAnswer: 0.000000000761285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 220, 116, -50, -278, -568, -920?\n\"Answer: -31*b**2 - 11*b + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 7*c**2 + 4*c - 2. Let l = 1651 + -1644. Give f(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**3 + 4*b**2 + 5*b + 6. What is n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 16 (b) 32\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3198547 times 0.113\nAnswer: 361435.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 972760429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18685 is divided by 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 771729.\nAnswer: 3, 7, 36749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -6, 29, -5, -12, -2 in ascending order.\nAnswer: -12, -6, -5, -4, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3281196089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, 111 in ascending order.\nAnswer: -4, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3320305, 6640674, 9961057, 13281460, 16601889, 19922350, 23242849?\nAnswer: 26563392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 21*p**3 + 2*p**2 - 1. Let a be k(1). Suppose -24*d = -a*d - 264. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52108668 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3797 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -23714418 by -92274.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 132731, 265192, 397653, 530114, 662575, 795036?\n\"Answer: 132461*b + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-4 + ((-2*sqrt(300))\/sqrt(6))**2 + (1*sqrt(100)\/sqrt(2) - sqrt(50)) + 5).\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**4\/4 - 63*b**3\/2 - 3573*b**2\/4 + 6237*b - 9801.\nAnswer: -(b - 3)**2*(b + 66)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -344 - 440103?\nAnswer: -441002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 29 + -29.01. Let g = -0.29 + v. Which is the second smallest value? (a) -1\/6 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -35 or -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (2*p - 11*p - p)*(0 - 1 + 4)*(5 - 3*p - 5) in the form j + r*p**2 + d*p and give r.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10019.12684 - -10019. Round s to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 - q - 4. Suppose 2*z + 1 = -3*w + 4*z, -z = w - 3. Calculate the remainder when g(3) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 2*a - 21 = 0, -2*y + 15*a - 2 = 11*a. Let r(j) = -j + 27. Let p = -24 - -46. Let f be r(p). Solve -f*i + y*d - d = 5, -d = 4*i - 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 + (-3 + 1 - -11). Let r = 87721 + -26403976\/301. Let l = r + 12\/43. Which is the smallest value? (a) v (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0011952922 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the third derivative of -h**5\/5 - h**4\/12 + h**3\/6 + 5*h**2 - h + 8. Let y(n) = -12*n**2 - n + 1. What is -2*j(q) + 3*y(q)?\nAnswer: -12*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 - 5*w**3 - 7*w**3 + 9*w**3.\nAnswer: -3*w**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -93*j**3*o**3 + j**3*o*p + 5*j**3*o - 167*j*o*p**2 + o**3*p**2 wrt p?\nAnswer: j**3*o - 334*j*o*p + 2*o**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -1127*m + 2240*m - 1110*m - 2260 in the form p*m + d and give d.\nAnswer: -2260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 + 3 - 2) + 2. Let 2 + 0 + 2*n - o*n - 8*n**2 - 4*n = 0. Calculate n.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 14, -0.28, -0.4, 2 in ascending order.\nAnswer: -0.4, -0.28, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -6*c**2 - 261*c - 111. What is u(-43)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -5382*w + 17984. Calculate u(3).\nAnswer: 1838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2*j - 24, -1 = 2*c + j - 5. Solve 2*w + c*b - 6 = 4, -2*w + 4*b = 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, x: 2, n: 3, h: 1, j: 6, u: 5}. Give prob of picking 4 j.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2020 + -2018. Let d = -0.1 + -2.9. Which is the nearest to u? (a) 0.1 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 26 + -24. Does 33 divide (-528)\/18*(-9)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = t - 2*t. Suppose -5*y - t - 8 = -5*j, 9 = 3*y + 2*j. Solve 0 = -v - 3*u + y, -v + 2*u = 4*v + 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1264143361705557\/20809271232580 + -5\/4966413182. Let r = 2\/2095 - c. Let f = r - 61. Put f, -5, -4\/7, 1\/5 in ascending order.\nAnswer: -5, -4\/7, f, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1401 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -4*d - 1. Let y(z) be the first derivative of z**3\/3 + z**2\/2 - z + 38. Determine -w(q) + y(q).\nAnswer: q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4*q + 22 = 2*h, -2*q = -5*h + 18. Solve 0 = -h*a + 5*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10787 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2*r**4)*(2 - 2 + 2*r) + 0*r**3 + 5*r**3 - 2*r**5 - 4*r**3 + (-1 - r + 1)*(-13*r**4 + 5*r**4 + 4*r**4).\nAnswer: 6*r**5 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -178*l**2 - 5*l**2 - 3*l**2 in the form f*l**2 + d + n*l and give f.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 - -19639.660689.\nAnswer: 19617.660689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-3))**(6\/7)\/(d**(3\/11)*(d*d**(3\/5))\/d) assuming d is positive.\nAnswer: d**(-1326\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.6 - -5.6. Let z(o) = -o**3 - 9*o**2 - 17*o - 3. Let t be z(-3). What is the closest to 1 in n, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29 divided by -3470?\nAnswer: -29\/3470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20\/9*r**3 - 104\/9 + 26\/3*r**2 - 2\/9*r**4 + 8\/9*r = 0. Calculate r.\nAnswer: -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20037 is divided by 1260.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -t**5*u**2 + 8344*t**4*u**3 + 34*t**2*u**3 + 6*t**2*u**2 + 3*u**3 + u wrt t?\nAnswer: -60*t**2*u**2 + 200256*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.3 + 0.7. Let p = -0.5 + 0.1. Let w be (-1*2 + 2)\/(-1). Which is the closest to -1? (a) w (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 4:24 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 108*x**3 - 46907*x**2 - 109*x**3 + 46907*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -9 - 4*f**2 - 26*f**4 - 2*f**3 - 1 + 8 + 22*f**4 as w*f**3 + t + a*f**4 + j*f**2 + y*f and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**7*a**(11\/4) assuming a is positive.\nAnswer: a**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 117 - 112.6. Let t = -5 - -4.6. Let r = l + t. Which is the third biggest value? (a) 1 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -171436, -171439, -171446, -171457?\n\"Answer: -2*d**2 + 3*d - 171437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**0\/l)\/l**(3\/8))\/(l**(3\/2)\/l**(-3)) assuming l is positive.\nAnswer: l**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1\/191 + 3635\/1146. Find the common denominator of -11\/46 and s.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -765800 rounded to the nearest 10000?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirty-seven fifths of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18\/(-48) + 10091\/8?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -203000112232 (base 4) to base 11\nAnswer: -51a8488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1853105869, 1853105867, 1853105863, 1853105857?\n\"Answer: -v**2 + v + 1853105869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o = -3*p + 2 + 4, -2*o - 5*p = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1143)\/47244*(40\/12 - 4).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 1261*t**3 - 14*t**2 + 15*t - 17. Let j be b(5). Suppose m - 46762 = j. Suppose 6*v = m + 28105. Round v to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 - 9. Suppose -b*y + 26 = 1. List the prime factors of 278\/y - (-18)\/45.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 14 = z, -2*z = 2*r - 3*r + 1. Let v be (-3)\/(-3 - 45\/(-12)). Which is the second biggest value? (a) r (b) 3\/4 (c) -3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express h - 2 + 5*h + 23*h + 139*h**2 - 20*h - 6*h in the form x*h + a*h**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in -1, 0.5, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.9 + -2.89. Let u = -0.99 - r. Which is the smallest value? (a) 2\/3 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -78.965208626 - -1\nAnswer: -77.965208626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 5. Solve -1 = n + u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 14491 - 14531. Sort -4, 3, -1\/2, l.\nAnswer: l, -4, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -6, 9, -135, -5, -3 in increasing order.\nAnswer: -135, -6, -5, -4, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51021.\nAnswer: 3, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 1443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 40 - 17 - 8 - -12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -49008 divided by -4\nAnswer: 12252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i**(-14\/3)))\/(i\/(i\/(i*i\/(i\/i**(-12)))))*i**(-29)\/i*i*i**(-21)*i*i assuming i is positive.\nAnswer: i**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -34 + (67 - 34) + 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 7:08 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of n**7\/1785 + n**6\/510 - 23*n**5\/510 - 2*n**4\/17 + 48*n**3\/17 - 249*n**2. Factor b(x).\nAnswer: 2*(x - 3)**2*(x + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 82318*l = 82316*l - 51, 108 = -4*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -224 less than -470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 0)*(-7*s**3 - 11*s**3 - s**3) + 8 - 8 + 10*s**3 - 2*s + 0*s**3 - 2*s**3 + 0*s.\nAnswer: 27*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-36)\/20 - (-117)\/390?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let 24057*c**4 + 29808*c**3 - 39720*c**2 - 6336*c - 240 = 0. What is c?\nAnswer: -2, -2\/27, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -10.720049646 rounded to 3 decimal places?\nAnswer: -10.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 170 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -220 divided by 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o\/o**(-8))))\/o**(-3\/4)*(o\/o**(-1)*o)\/(o*o\/(o*o**(1\/2)*o))*((o*o**(-1))**(-4\/5))**(-10) assuming o is positive.\nAnswer: o**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o + 8. Let n be a(0). Let v(y) = 2*y - 11. Let d(l) = -8*l + 44. Let x(f) = 2*d(f) + 9*v(f). What are the prime factors of x(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(63) + 0 + (1 + sqrt(28))**2 + sqrt(847) + sqrt(847)*3 + -2 + sqrt(56)\/sqrt(8).\nAnswer: 27 + 52*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 13575498 to the nearest 10000.\nAnswer: 13580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 16*i**2 - 14*i**2 + 14*i**2 + (i - 2*i + 3*i)*(45*i - 21*i + 69*i) as a*i**2 + y*i + q and give a.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be 12\/(-2)*9\/(-2). Let y = -49098 - -49097. Sort y, -5, 3, l.\nAnswer: -5, y, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 7, 30, 71, 136, 231, 362, 535, 756?\n\"Answer: w**3 + 3*w**2 + 7*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (80\/28)\/(-5) - (-232)\/308.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - 4*m - 40, 14*o - m + 32 = 19*o. What is the lowest common multiple of o and 319?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/2 + (-14 - 13 - -26). Which is the closest to 1? (a) 10 (b) w (c) 28\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 12947 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 + 261210?\nAnswer: 261212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 4*m - 7, -4*m - 3 - 8 = -r. Suppose r = -2*v + 3*v. Let w = 1775\/7 - 253. Which is the nearest to -1? (a) v (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1180029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3 + 21)*18\/(-24). Let f(n) = -n**2 - 18*n + 4. What is the lowest common multiple of f(x) and -2 - (26\/(-6) + (-4)\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.6 - -0.4. Let s = 0.9 - 1.3. What is the closest to 1 in w, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the third derivative of x**5\/15 + x**4\/8 - x**3\/3 + 6*x**2. Let y be b(3). Let n(m) = y*m**2 + 0 - m**3 - 37*m**2 - 4. Give n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.184 * -4\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j and 1 z when four letters picked without replacement from jzpdjdzpdjzzzjj?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, -2396, 0.004, -0.7 in ascending order.\nAnswer: -2396, -0.7, -0.4, 0.004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is bd0 + -1?\nAnswer: bcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 20 + 35 = 3*r + 8, 2*i - 35 = -5*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 4 = u. Suppose 0 = 48*h - 60*h + 132. Calculate the least common multiple of u and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 4*b**4 - 96*b**3 - 1700*b**2 + 5712*b - 3920 = 0.\nAnswer: -14, 1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3488, -6973, -10458, -13943, -17428?\nAnswer: -20913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -32014 (base 6) to base 9\nAnswer: -5841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -22*m**4\/5 - 128*m**3\/5 - 48*m**2 - 128*m\/5 + 32\/5.\nAnswer: -2*(m + 2)**3*(11*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1855 and 35987.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 12546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -7 + 5 + (17 + (-2 - -11) - 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -3\/5 (c) 1 (d) -1\/4 (e) 3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 5*i = -25, -407*i + 402*i = 3*r + 21 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5712 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3324 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 11 = 5*j + 10, 12 = 2*s - 2*j. Suppose -n + q - 15 = 2*n, 0 = s*n + 2*q + 15. Let t(f) = 2*f**2 + 6*f - 3. Determine t(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/44)\/(13 + 6 + 77\/(-4))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let m be 1252\/36 - (-8)\/36. Calculate the highest common divisor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 351\/(-91) + 3\/(-21). Let h(q) = 2*q**3 - 5*q**2. Let f(x) = 2*x**3 - 4*x**2. Determine k*h(y) + 5*f(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(133) - sqrt(133)*-3)\/sqrt(7) + -2*sqrt(38)\/sqrt(2) + (sqrt(76)*-1 - sqrt(152)\/(sqrt(8) + (sqrt(8)*1 - sqrt(8)))))*4)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 137*m + 1 + 41*m + 1 + 3 - 5.\nAnswer: 178*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -19407426 - -19407334.99963. Let y = 91 + s. What is y rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/3)*v)\/v*v*v**25*v*v*(v\/(v\/v**(-1\/11)))\/(v**14\/v) assuming v is positive.\nAnswer: v**(481\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (8*h - h - h)*(-1 + 0 + 2) - h + h + h as i*h + m and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 175*o + 4806*o - 767*o.\nAnswer: 4214*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/7, -6, 2\/7 in ascending order.\nAnswer: -6, 1\/7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*g**2 + 24*g**2 - 31*g + 27*g + 4*g.\nAnswer: 70*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 369441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 15 = 4*q - 5, 4*r + 25 = 5*q. Suppose 5*o - 5*c - 152274 - 17736 = r, 0 = 4*c + 8. Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 502 + -392. Calculate the lowest common multiple of l and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 2*g + 134979 = g, -202440 = -3*n + 5*g. Let h = -36485 + n. What is h rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50 (base 7) in base 6?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -6*n**2 - n + 5. Let m(x) = 6*x**2 + x - 4. Let k(r) = 4*m(r) + 3*s(r). Calculate the remainder when k(-4) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.5 + 1. Let i be (-141)\/27 - 2\/(-9). Which is the biggest value? (a) i (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from llli.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 610728168?\nAnswer: 2, 3, 29, 743, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*b + 33574 + 94994 = 0. List the prime factors of b.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16 and 210776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 5529032, 11058052, 16587070, 22116086, 27645100, 33174112?\n\"Answer: -o**2 + 5529023*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5780*r**3 - 6768*r wrt r.\nAnswer: -34680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 56 or 229\/4?\nAnswer: 229\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(22)\/(sqrt(32)*4))**2 - (sqrt(88)\/(sqrt(8) + sqrt(32) + sqrt(8)) - (-4 + sqrt(22)\/sqrt(2)))).\nAnswer: -1781\/256 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -da81 (base 14) to base 10\nAnswer: -37745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1.108803949 rounded to 3 decimal places?\nAnswer: -1.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (70\/21)\/(1\/105) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -162*z**6 - 2*z**2 + 59*z.\nAnswer: -19440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - 3. Let q = 4 + l. Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 PM and 6:58 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99*s + 99*s - 193*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -154604, -154665, -154768, -154913?\n\"Answer: -21*r**2 + 2*r - 154585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2832 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 15 = 5*n, -2*n + 19*y - 15*y = 12. Find f, given that -3\/5*f**4 - 21\/5*f**2 + 3*f**3 + n + 9\/5*f = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6916 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -c**4\/2 + 1355*c**3\/2 + 2713*c**2\/2 + 1357*c\/2 = 0.\nAnswer: -1, 0, 1357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*((s\/(((s*s\/s**(-3))\/s)\/s*s))\/s)\/s*s*(s**(2\/13)*s)\/s)\/(s**(1\/4)\/(s**(-2\/7)*s))*(((s\/s**(-1\/4)*s)\/s)**(-39))**(-6\/13) assuming s is positive.\nAnswer: s**(7323\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 6, e: 12}. What is prob of picking 4 e?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-66)\/9*3*122*(-69)\/(-46299).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**3 + 3*d**2 + 3*d. What is the remainder when 34 is divided by g(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 194 = -13. Suppose -t = -3*z - 3*o, 0*z - 2*o = z - 18. Calculate the greatest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -185884, -188586, -195930, -210238, -233832, -269034, -318166, -383550?\nAnswer: -467508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-8652)\/1764 + (-2)\/21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*n - 1395885 - 648967 - 519582 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 8*o**3 - 1361*o**2 + 179*o - 1536. Determine s(170).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162) - (sqrt(162)*-4)**2 - (sqrt(2) - (sqrt(2) - ((sqrt(128))**2 - sqrt(2))))) + (sqrt(270)\/sqrt(5))\/(sqrt(15)\/(sqrt(15)\/sqrt(3))).\nAnswer: -2720 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -1467, 2, -5, 3, 6 in increasing order.\nAnswer: -1467, -5, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-9*(-9)\/(-108))\/(1 - (-11)\/(-2)). What is the second smallest value in m, -1\/18, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 43.98022822 - 43.98. Round x to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-q**2 + 3*q**2 - 3*q**2)*(2 - q**2 + 4*q**2 - 4*q**2) to the form z*q**2 + u*q + k*q**4 + h*q**3 + l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -51668+2978.244\nAnswer: -48689.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 - 28*v**2 + 61*v + 1093. What is n(24)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = -2*g - 78. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 28, 108, 250, 460, 744?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 103, 107, 113, 121, 131, 143?\n\"Answer: b**2 + b + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 677738795.\nAnswer: 5, 1933, 70123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 89954705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 2*t**3 + 27*t**2 - 13*t - 348. Calculate q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3842558 and 10928.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 212003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10321815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/3 - 38\/(-6). Suppose -2*u - 2*a = -10, 0 = -5*a + 9 + 6. Suppose u*g - 3*g = -n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, g: 1, j: 3, m: 1, t: 3}. What is prob of picking 2 d and 1 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 - -24. Suppose -2*u = -4*o - 0*o - 22, 3*u - 1 = v*o. Let k = 3358 + o. Round k to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 6348.\nAnswer: 19044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - 3) + -1 + 0 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**(-1\/7)*(u*(u\/((u**(-2\/13)\/u)\/u))\/u)\/u)\/((((u\/(u*u\/u**(-2)))\/u)\/u)\/u**(2\/11)))\/((u**1\/u**4)\/(u**(1\/3)\/u)**(-3)) assuming u is positive.\nAnswer: u**(13492\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 390990?\nAnswer: 2, 3, 5, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 2*s - 5*o - 21 = 0, -4*s = -4*o - 28. Suppose 3*p = 2*p + s. Let i be (-1 - 1*-3) + 8. Solve -4*j = -v + i, p = 2*j - 4*v - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 2\/37, -21.903, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 306119944 and 34874424?\nAnswer: 2755079496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - -27c?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 123816\/(-231)*(10\/100)\/(16\/(-20)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m. Let i(r) = -5*r + 27. Let f(g) = i(g) - 3*o(g). Let j be f(8). Suppose 17*s - j*s = 180. Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the first derivative of -a**6\/360 - a**5\/120 - a**4\/12 - a**3 + 5. Let c(r) be the third derivative of k(r). Calculate c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the first derivative of -1\/10*n**5 + 3 + 3\/16*n**4 - 1\/24*n**6 + 1\/3*n**3 - 1\/2*n**2 + 0*n. Factor g(k).\nAnswer: -k*(k - 1)**2*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 15 + (2 - (-10 - -14) - -6) - 38?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 47 = -4*r + 40, -2*r + 5*q = -57. Let s = r + -17. Solve -s*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (2\/(-6))\/(37\/(-1665)) and (-13)\/(-5) - (-8)\/20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - 13*u**2 - u - 24. Let i be (0 - 3)*(-294)\/63. What is the remainder when r(i) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.343 - 0.043. What is the third smallest value in -2, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 12957835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be 24\/16*(-4)\/(-6). Suppose 0 = -5*x + 3*m + 22, -5*m = -6 + j. Solve i + 2*i + 5*n - 3 = 0, -x*i + 5 = -3*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1056)\/72 + 13)\/((-5)\/(-102))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1711384817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t - 3. Let g(c) = -6*c**2 + 1. Let o be g(-1). What is p(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) be the third derivative of 7513*z**5\/60 - 3183*z**3\/2 - 10*z**2 - 249*z. Differentiate s(b) with respect to b.\nAnswer: 15026*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 2*x**4 + x**3 - x**2 + x + 2. Let k(a) = -3*a**4 - 2*a**3 + 4*a**2 - 4. Let o(q) = -5*k(q) - 5*m(q). Suppose o(w) = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 254293049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8578 + 12417. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 658255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1685959 is divided by 39195?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 62, 113, 156, 191, 218, 237, 248?\n\"Answer: -4*p**2 + 63*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is q in q**5\/3 + 2*q**4\/3 - 12*q**3 - 2*q**2\/3 + 35*q\/3 = 0?\nAnswer: -7, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, x: 1, q: 2, o: 1, t: 3}. What is prob of picking 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23561758 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j = 3*j + 12. Suppose -7*m + 44 = -j*m. What is the remainder when 32 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1163 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from xeeexxxexxxee?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3 and 3291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 998, -60?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -195810, -195809, -195808, -195807?\n\"Answer: a - 195811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 4*v. Suppose 49*s = 5*t + 54*s - 50, 4*t + 2*s - 44 = 0. Solve 7*r - 3*r + t = v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-4)\/(-18))\/((-2)\/(-3)). Let s = 2898 - 2891. Which is the second smallest value? (a) q (b) -0.1 (c) 5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -1475*u - 2. Let s(q) = -68*q**2. Calculate d(s(p)).\nAnswer: 100300*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-3*sqrt(625) + sqrt(625))\/(3*sqrt(5)*-2)*-4.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1359250 + 3946.24?\nAnswer: -1355303.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + -198dec5?\nAnswer: -198dec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1920909376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the third derivative of -7*b**5\/60 + 5*b**3\/6 - b**2. Let t(u) = -3*u**2 + 2. Let w(m) = 2*k(m) - 5*t(m). Let d(g) = 6*g**2. Calculate w(d(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 - 19. Let h = f + 33. Let g = h + -19.000044. What is g rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 8.8022 + -7.3.\nAnswer: 1.5022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 + -10. Let s = -4.4 - -4.358. Let n = s + -4.958. Which is the biggest value? (a) -2\/7 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -1 + (5 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a**3 + 0*a**3 + 0*a**3 + (3 - 3 + 2*a)*(a**2 - 1 + 1) + 6 - 1430*a - 2*a**3 - a**2 + 1428*a - 13*a**2.\nAnswer: 2*a**3 - 14*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9198531 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + 0. Suppose x*i = i - 2. Suppose h - 28 = -2*m, i*m - 18 = 3*h + h. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 12:56 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eess when four letters picked without replacement from eesesseeeeeseeeso?\nAnswer: 55\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4 less than -592?\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 868cd8 (base 14) to base 3.\nAnswer: 22120112211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17545529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*b - b - 25 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 3488*s**3 - 17*s**2 + 17*s + 376. Let t(z) = -871*z**3 + 4*z**2 - 4*z - 94. Let p(w) = -2*m(w) - 9*t(w). Find the second derivative of p(c) wrt c.\nAnswer: 5178*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15\/6*(-118)\/295)\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 111 - 117. Let o be 8 - (-6 + h) - (-6 - -11). What is the highest common divisor of o and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2120472*b**3 + 1061635*b**3 + 1058833*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {z: 4, y: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -17*k + 220. Calculate p(15).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 7909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -251*n**3 + 0*n**2 - 71*n**3 + 0*n**2 + 316*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that -2*i**4\/11 - 3332*i**3\/11 - 150000*i**2\/11 - 1552896*i\/11 + 3732480\/11 = 0.\nAnswer: -1620, -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 70338 and 16302?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -78, -82, -88, -96, -106, -118, -132?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 4*f - 941 + 46, -f = -y + 890. Let j = y - 628. Calculate the remainder when j is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -338*l - 361*l - 20307 = -3787 + 13537 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -2999*o. Let c(v) = 4*v - 5. Calculate c(k(z)).\nAnswer: -11996*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of h*s**4*x - h*s*x + 168*h*x + 50*s**4 - s*x wrt s?\nAnswer: 12*h*s**2*x + 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -2. Suppose 0*i + u = -2*i - 61, -4*i - 5*u - 107 = 0. Let j = i + 40. Solve n = b + t - 3, 0 = 4*b - 5*t - j - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 185940975*t**6 + 209747802*t**2 wrt t.\nAnswer: 22312917000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00118829 rounded to five dps?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 3 + 47 = 0. Is 20\/(-8)*((-15946)\/a - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91*f - 34 = -92*f - l, -152 = -5*f - 2*l. What is the least common multiple of 126 and f?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**3 + 2*s**2 - 9*s - 4. Let x be o(-4). Let i be 20000 + (0 - x\/4). What is i rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**3 + 626*y**2 - 2036*y + 1669682. Calculate o(627).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 2 = 6. Let i(x) = 1. Let o(f) = -7*f - 5. Let j(k) = -6*i(k) - o(k). Let q be j(t). Solve -4*d + 6 = -q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 38*p - 16*p - 16*p + 32*p**2 - 133*p**2 as v*p + r + c*p**2 and give c.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 295200 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 23886718109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x, 1 j, and 1 u when four letters picked without replacement from {e: 4, x: 3, g: 2, p: 2, j: 6, u: 1}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000509726139 to seven dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + (-1)\/((-3)\/9). Suppose 5*k + 10 = 5*v, -u*v - 2*k = 3*k - 20. Suppose -20 = -b - v*b. Solve -b*z - 1 + 11 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -31535107*m**4 + 154*m**2 - 167*m - 154.\nAnswer: -756842568*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 14 times -13\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 299414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 8 = 5*o, -2*o - 38 = 2*r. Let h = r + 66. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -4*m**2 + 5*m - 12. Let f be s(3). Let t = -5602\/4521 + -5\/1507. Calculate the common denominator of t and 1697\/198 - (-6)\/f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -70 or 188?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -265*x + 18034. Give l(68).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i + 3. Let k be m(7). Let c(y) = 2*y**2 - 14*y - 9. Let p be c(k). Suppose 0 = -5*n + 3*s + 87, -2*s - s = -3*n + p. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 223 divided by -45\nAnswer: -223\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (546\/28)\/(((-42)\/(-392))\/((-9)\/(-63)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 - (39 + (-61 - -16)) - (9 + -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 64220 and 31616?\nAnswer: 2055040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + (-13)\/((-26)\/12). Suppose -l*x = -0*y + 3*y + 2, 5*x = -3*y - 7. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.17 + 0.07. Let j = -0.3 + i. What is the closest to 2 in j, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0\/2 + 8)\/2. Let r be (j + -2)\/(6\/9). Let x(b) = -4*b - r*b + 4*b. Let d(g) = 2*g**2. Calculate d(x(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 4*d - 30, 14*d - 7 = 4*l + 17*d. Let r(t) = 0 + 4 + 2 - 15*t**l + t**3 - 2 + 12 - 17*t. Calculate r(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -12\/13 (c) -167 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -k**3 + 5221*k**2 + 10446*k = 0.\nAnswer: -2, 0, 5223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 3.50912545 to four dps.\nAnswer: 3.5091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -570 divided by 2\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 34757, 34737, 34691, 34607, 34473, 34277, 34007, 33651?\n\"Answer: -2*r**3 - r**2 - 3*r + 34763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2523680609.645997 - 2523679484. Let t = -1124.646 + h. Let a = 1 - t. What is a rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -98151, -98163, -98175, -98187?\n\"Answer: -12*m - 98139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-18)\/(-5))\/((-234)\/(-60)). Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j + 0*j - j**2 + 0 - 6 - 8*j. Let t(c) = c**2 + 8*c + 7. Let i be (2\/4)\/(1\/(-12)). What is i*m(d) - 5*t(d)?\nAnswer: d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18 and 53478?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -747\/2 - -312. Let s = -59 - f. Let z = 6 + -9. Which is the second smallest value? (a) z (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 3 + 2)*(1258 - 662 - 3*m - 1275) to y*m + j and give j.\nAnswer: -3395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000041187161 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7 + -c7?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 11*a + 5*a - 6*a in the form x*a + v and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*((-14)\/(-12))\/(-7). Let y = -976 - -976. Let g = -1 - 0. Which is the nearest to g? (a) 1\/3 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**2 + 2*l - 2. Suppose 25*n - 23*n - 6 = 0. Let b(d) = 50*d - 103*d + 52*d + n - 2. Give -4*b(h) - 2*y(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be 50\/275 - ((-62)\/22 - 0). What is the closest to h in -3\/8, -0.4, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1407478312 divided by 351869578\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 302042384?\nAnswer: 2, 7, 1567, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -1, 52, 2, 5, -47, -4 in decreasing order.\nAnswer: 52, 5, 2, -1, -4, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 24 + 54882?\nAnswer: 548a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*h + 5*j - 14, -31 = 352*h - 347*h - 4*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -32086517 times 5?\nAnswer: -160432585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.03 from 4808986804478.\nAnswer: 4808986804478.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 36.79764 centuries?\nAnswer: 3.679764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -417 + 654. What is the remainder when a is divided by 65?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.25 - -3.75. What is the biggest value in 0.4, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1193840, 2387682, 3581534, 4775402, 5969292, 7163210?\nAnswer: 8357162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 3*n + 637 = 0, 0*n - 3*n = 3*d - 477. What are the prime factors of 3\/3*d\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + 1 + -3 + (-12 - -12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/18)\/((260\/(-24))\/(-13))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12011200111000 (base 3) to base 5.\nAnswer: -1200440120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 30 and 52764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4.452197149 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 140*b. Let n(z) = -5*z**2 - 2*z + 2. Let d(h) = -23*h**2 - 9*h + 9. Let f(q) = 2*d(q) - 9*n(q). Give f(j(v)).\nAnswer: -19600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 18743470 by 122.\nAnswer: 153635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(1100)*2 + sqrt(1100))**2 + -4.\nAnswer: 9897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/7)*p)\/(p*(p\/(p\/(p*p**(1\/3))))\/p))**48 assuming p is positive.\nAnswer: p**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.6 in 0, -5, 2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1945 < -231318\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -10166452, -20332914, -30499398, -40665916, -50832480, -60999102?\n\"Answer: -2*w**3 + w**2 - 10166451*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 20*31\/(-2170)*1\/1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 110101110011011010 (base 2) to base 8.\nAnswer: 656332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 105, 247, 423, 633, 877?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 11*2 + (-10 - -8). Let c be 1*(-4 - -3)*0. Suppose 3*h - 3*j - 9 = 0, 3*j + j - 4 = c. Calculate the greatest common factor of z and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 8) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 4*j = 0. Suppose -2*a - 2 - 6 = j. Put 6, a, -1 in decreasing order.\nAnswer: 6, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -87 + 88. Find the second derivative of 44194*a**3 - 24*a + 12*a**5 - u - 44194*a**3 - a**2 + 2*a**5 wrt a.\nAnswer: 280*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 4 = z - 3, 0 = -z + 2*p + 8. Let w = -0.06721 - 0.03279. Which is the smallest value? (a) z (b) w (c) 0.76 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 29310*b**5 + 4*b**3 + 211108*b**2 wrt b.\nAnswer: 1758600*b**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*x - 10*g + 6*g, x = 4*g - 5. Which is the closest to -0.1? (a) x (b) 407 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the first derivative of 9*d + 3\/2*d**2 - 20. Calculate f(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.19492 and 178.62?\nAnswer: -34.8166104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20 - -118. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 0*g + 2. Let m be 28\/4*g\/7. Find the third derivative of 4*i**2 - 2*i**3 - 2*i**3 - 2*i**3 + m*i**3 wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 718.7272 millimeters in centimeters?\nAnswer: 71.87272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19 - 11. Suppose g = b - l - l, -4*b - 5*l = -45. Suppose 3*v = q + 14, -2*q = -5*v - 3*q + b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (c - c + c)*(-651*c - 302*c - 45 + 45 - 8493*c).\nAnswer: -9446*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of 62*t**5 - 680*t**2 + 484*t. Differentiate g(a) wrt a.\nAnswer: 3720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 152*n**6 - 640422*n**3 - 30*n**2 + 13325643*n wrt n?\nAnswer: 18240*n**3 - 3842532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4652523, 4652559, 4652653, 4652835, 4653135?\nAnswer: 4653583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -5*k + 19, 0 = o + 2*k - 0*k - 6. Suppose 0 = -5*d + 2 + o. Solve -1 = -2*a - 4*p + 25, -d = -4*a + 2*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of l**5 + 4890*l**3 + 16896*l**2.\nAnswer: 60*l**2 + 29340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4442*l**3 - 224*l**2 - 253636*l + 3 wrt l.\nAnswer: -26652*l - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**26\/f*f)\/f)\/(f*f**27*f))\/((f*f\/(f\/(((f*f\/(f\/((f\/(f\/(f**(1\/2)*f)))\/f)))\/f)\/f)))\/(f*f*f**5)) assuming f is positive.\nAnswer: f**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-3*2*sqrt(252)*-4)**2.\nAnswer: 435456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2103172 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 170587043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -0.2, 3, 0, -3\/7 in decreasing order.\nAnswer: 6, 3, 0, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -2*c + 11 + 5 - 18 + c**2 - 6*c**2. Determine g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -610 - -609. Let j be (-4)\/(-18) - 8\/117. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.1 + 0.1. Let w = -4.809 - -1.809. What is the closest to a in -4, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -34*j**3 - 2*j**2 - 2*j + 2. Let g be b(1). Let d = g + 51. Suppose 85 = p + 2*a - 31, 3*a - d = 0. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9\/18659735 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**3 - 11*d**2 + 11*d - 9. Let n be z(-12). Let b = -3 + 5. Factor 1\/3*k**n + 1\/3 + k + k**b.\nAnswer: (k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12.7 + 10.18. Let j = l + -1.71. What is j rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 5*z + 5. Let r be j(11). Suppose 3*u - 3 = 9. List the prime factors of 1 + r - u\/4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1621886860 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 2*o**2\/9 + 3736*o = 0.\nAnswer: -16812, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5543524 divided by -2771762?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -5. Suppose 0 = n - 1, 0*f - 3*n - 75 = 2*f. Let q = f + 115\/3. Which is the closest to d? (a) 2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the third derivative of -w**4\/8 + w**2. Let t(r) = r + 3. Let b(l) = -2. Let q(c) = -3*b(c) - 2*t(c). What is j(q(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -3*f + 1. Let t be s(-1). Suppose 2 + 4 = -2*k + 5*i, t*i = -4*k + 44. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*f + 10. Let y = 1 + -2. Let x be 2 + (y - 1) + 2. Solve -x*s + f = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30.69795 - -0.07205. Round j to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of 2*y**5\/15 - 5*y**4\/6 + 4*y**3\/9 + 8*y**2\/3 - 237. Solve h(z) = 0 for z.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3672 and 972.\nAnswer: 33048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of w**5\/60 + w**4\/8 + w**3\/6 + 5*w**2. Let l be q(-5). Let f = l + 0. What is the remainder when 53 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5a4679 - -51?\nAnswer: 5a471a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/5 in -0.3, 1.1, 9\/31, 2\/7, -18?\nAnswer: 9\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 82 + -15?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(252)\/(-3*sqrt(7)))\/((sqrt(120) - (sqrt(120) + sqrt(120)*-3 + sqrt(120)))\/sqrt(10)) + -1).\nAnswer: sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 343620 is divided by 31202.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.8 - 2. Let q = i + 1. Let f = q + 0. Which is the smallest value? (a) 1 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 22 and 17974.\nAnswer: 17974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.4, -4, -2\/9, -0.51?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -17 + 7 - (1 + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence imvd when four letters picked without replacement from idddvidsvddmmlsddsid.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 + -5. Let r = -0.1447 - -0.0447. Which is the nearest to r? (a) 3\/2 (b) -4\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 4*r**5 - 38316*r**4 + 6203136*r**3 - 253225840*r**2 = 0.\nAnswer: 0, 82, 9415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 386 - 170. Does 36 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppfc when four letters picked without replacement from uupmfcfpfufppmmfpff.\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11084 is divided by 243.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2\/13 (b) 0 (c) -1\/2 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 376, 398, 430, 478, 548?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence su when two letters picked without replacement from uusususuus?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1173562 or 1173565?\nAnswer: 1173562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 3, 50, 119, 204, 299?\n\"Answer: -s**3 + 17*s**2 + 3*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -245*d + 104. Let s be u(3). Let o = s + 1901\/3. Factor -2\/3*t**2 + 1\/3*t**3 + o - 4\/3*t.\nAnswer: (t - 2)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 4*v + 7*k - 3*k, 0 = 5*k - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 7) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 47326843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 86 - 158. List the prime factors of 2\/3*j\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 449*b - 6. Let h(l) = -36825*l + 491. Let j(x) = 6*h(x) + 491*v(x). Let s(u) = -3*u**2. Give j(s(n)).\nAnswer: 1473*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 + -3. What is the lowest common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (225\/(-10))\/((-13)\/(-26)) + 28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 3*u + 9 = 0, i - 725*u + 752*u - 81 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -50500595 + 11077392. Let i = 39423198.6999902 + v. Let h = i - -4.3. What is h rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -564 + 536 = -7*x. Solve x*a + 24 = -3*d + 4, -d = -2*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhss when four letters picked without replacement from {h: 5, s: 14}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 - 38*g**2.\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 + 8*x + 9. Determine v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3 - ((-12)\/(-8) + 32635\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -404 + 1050104?\nAnswer: 1045300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 492 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 28760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, -0.3, -3197, 153 in decreasing order.\nAnswer: 153, -0.3, -1\/3, -3197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 77.6203 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49525283?\nAnswer: 139, 283, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + -1. Let c = -696 - -701. Solve c*k = -20, 0 = -r*a + 4*a + k + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-198)\/(-110))\/(1\/5). Let p be (-2 - 2)\/(-2) + 7. Calculate the highest common factor of l and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 - 3. Let n = -276 + 275. Let u = n + q. Solve -3 = -u*p - 7, m + 5*p = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**2 + 7*o + 12. Let i be h(8). Let b be ((-3)\/54)\/(i\/12). Suppose 0*p + 3*p = -4*z + 5, 15 = 5*p. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20996 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*w - 680 = -39*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/1745128 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 13795 * 0.5\nAnswer: 6897.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 10*r + 1. Calculate u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y + 5. Let i be u(5). Suppose -3*d - 2*d + i = 0. Suppose d*n - 4*p = 4, 0 = 3*n - 2*p - 7 - 7. Calculate the smallest common multiple of n and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1083392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 8) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 148507, 297029, 445561, 594109, 742679, 891277, 1039909, 1188581?\n\"Answer: b**3 - b**2 + 148518*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 999*j = 996*j + 5*x + 7 + 18, 2663*x + 70 = 2649*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1*(sqrt(5) + sqrt(5)*-1) - 3*(sqrt(320))**2).\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:46 PM and 1:27 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lssjqlljsqcjz. What is prob of picking 1 q and 2 l?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1356\/7 - 194. Let r = -5 - -9. Is i greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/h**(-3))*h*h**(-7\/5)*h)**1*(h**(-6\/7)\/h*h**3)\/(h\/(h\/h**6)*h*h**(-1\/8)) assuming h is positive.\nAnswer: h**(-2277\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*p**2 - 711*p**4 - 22*p - 2*p**6 - 6*p**3 + 7 + 8*p**3 + 2313*p**4 wrt p.\nAnswer: -240*p**3 + 38448*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6636271.\nAnswer: 1847, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12448 and 40.\nAnswer: 62240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 4*x + 6. Solve x*d + 22 = 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -48 - 3. Let r = x + 57.8. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 39 + -92. Let l(w) = 24*w + 51. Let y be l(-4). Let f = y - b. Solve -2*u + 0*u + f = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11*-7.1.\nAnswer: 78.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 1:11 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4 = -0*t. Let g(u) = 4*u**2. Let x be g(1). Suppose -x*v + 12 = 3*f, -f - f + 8 = -3*v. Sort t, v, -4 in ascending order.\nAnswer: -4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1662033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-77)\/55 - -5 - (-4)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -230 - -239. Suppose 3*l = g + 17, 4*l - 20 = m*g - 5*g. What is the greatest common divisor of 150 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-19)\/(-3) - (-8)\/24*-4. Let l(z) = 3*z + 60. Calculate the least common multiple of 35 and l(w).\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 23302*i**4 + 11*i**3 - 441906.\nAnswer: 93208*i**3 + 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1\/3))**(-17\/5)\/(a*(a*a\/(a\/a**(-1\/4)*a*a))\/a)**20 assuming a is positive.\nAnswer: a**(392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i + 5*i - i)*(-1 + 0 + 0) - 2*i + 4*i + 0*i + (0 + 5 - 3)*(i + 3 - 3).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x = -5*f, 5*x + 21 = 100*f - 102*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 174\/(-54) - (-10 + 1)\/3. What is the biggest value in l, 24, 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes before 3:48 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3 + 202714?\nAnswer: 202711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/11, -0.1, -9\/4 in increasing order.\nAnswer: -9\/4, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 767027 + -7?\nAnswer: 767020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of -j**4\/6 - 4*j**3 - 3*j**2\/2 - 3*j + 1. Let c be l(7). Round c to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -5 - 5\/(100\/520)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x**2\/23 + 283392*x\/23 - 10038878208\/23 = 0. Calculate x.\nAnswer: 70848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pyyyppyyyppp. Give prob of picking 2 y and 2 p.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -23 + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 79506912*a**4 - 247820431?\nAnswer: 318027648*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 189 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*d**2 + 131*d**2 - 94*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 119.2 - 115. Let p = j + -4.3. Which is the closest to p? (a) -3\/2 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 79.02019 days to minutes.\nAnswer: 113789.0736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2. Let w(l) = 2*l - 3. Suppose 1 - 7 = -a. Let p(t) = 10 - 4 - a*t + 2. Let x(h) = -3*p(h) - 8*w(h). What is o(x(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + -10. Let q(h) be the first derivative of h**4\/4 + 5*h**3\/3 + h**2 - 1. Does 4 divide q(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 398066018?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (43 - -5)\/((-6)\/22 + (-5338)\/(-374)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0008698839494 rounded to 5 dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.72 - -4\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 PM and 4:44 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and -0.407.\nAnswer: -1.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141231 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1392 and 6731538?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 67 + -48. Suppose k = -3*k + 16. Solve -l = -k*p + j, 4*l - 6*l = -p + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 145 - 141. Is 12 a factor of (2\/u)\/(9\/(-54)) + 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15285.\nAnswer: 3, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 + 10. Suppose z*m - 6*m = -64. Suppose 19 = 3*v + 2*t, 5*t = -4*v - 0 + m. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) -3 (c) 68122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34100*q**3 + 5047*q**3 - 10*q**2 + 11*q**2.\nAnswer: 39147*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 - 6. Suppose -i*s - 3*a + 93 = 0, -3*s - 4*a = a - 67. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/1584 and 101\/10824.\nAnswer: 64944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/69, -913, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/5)\/(t*t**(-2\/3)))**(-20\/9))**8 assuming t is positive.\nAnswer: t**(352\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -l**4\/2 + 2*l**3 + 23*l**2 - 2*l - 45\/2 = 0. Calculate l.\nAnswer: -5, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7239615*j**2*y**2 - 14688*j - 111*y**2 wrt j.\nAnswer: -14479230*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(2\/9)*w)\/w)\/w**(1\/5)*w**6*(w*w**2)\/w*w assuming w is positive.\nAnswer: w**(406\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1161706.8 months in millennia?\nAnswer: 96.8089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 - (-3625)\/(-125)*(-2 + 3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 67 + 157. Suppose 23*x - 3*w = 25*x - 63, -2*w - 35 = -x. Calculate the remainder when b is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 - 11. Let d = -40 + 202\/5. What is the second biggest value in d, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1211 (base 4) to base 13.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/2*(-1)\/(-12)*(-832)\/(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -41, -46, -55, -68, -85, -106, -131?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 127 = 4*c - 5*i, -i + 33 = c - 2*i. Let k = 116\/3 - c. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -97*t**5 + 41*t**5 + 33*t**5 + (4*t**4 + t**4 - 4*t**4)*(0*t - t - t) - 2*t**5 + 2*t**5 - 2*t**5 - t + t + t**5.\nAnswer: -26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**1)**(-12)*(q*(q**3*q*q)\/q)\/((q*q**(1\/6))\/q) assuming q is positive.\nAnswer: q**(-115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2342640 - 3?\nAnswer: -2342643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 143897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (10 - (1 - 1 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20 + 16 - 46 + (5 + 0 - 4)*(0 - 4 + 5))*(6 - 3 - 1)*(0*l - 1 + 2 - 2*l).\nAnswer: 196*l - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29, -45, -87, -167, -297, -489, -755?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -395*r = -330*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*z - 154*z - 4916250. Round z to the nearest one hundred.\nAnswer: -35600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*j**3 - 79 - 93 + 172.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 574 less than 560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 98\/2058 + -7 + 46718\/6762.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 130912981?\nAnswer: 7883, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*d = -9*d + 14*d. Let g(o) = -2*o**2 + 2*o. Let f be g(d). Solve -2*c - 26 = -j + 6*j, f = -c - 3*j - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16 - 7. Suppose 0 = -4*b + 165 - o. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + c + 92 = -3*c, 5*b - 85 = -5*c. Suppose 0*m - b = 5*m. Find the common denominator of -139\/6 and -2*262\/(-560) + m\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 87 - 84. Suppose -2*b - 317 = -x*a + 861, b + 787 = 2*a. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 161 - -4?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -161*y - 8*y = -2940 + 912 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -17\/50 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*g + 76, -4*g = -10*u - 2*g - 10 + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 + -3)\/(4\/(-16)). Suppose 2 = -j*x + 14. Let d be (8 + -12 - (-10 - -2)) + 18\/6. Solve d*s = 4*s + x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from moaomoooomaom. Give prob of sequence aa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -11 divided by -108?\nAnswer: 11\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 8152 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hxx when three letters picked without replacement from {m: 1, x: 4, h: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-15)\/3)\/1*4\/(-40)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 10*w**5 + 4*w**3 + 4*w**2 + w. Let n(k) = 19*k**5 + 7*k**3 + 7*k**2 + 2*k. Let i(p) = -4*n(p) + 7*y(p). What is the second derivative of i(v) wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**6*h**5*h)\/(((h\/(h*h**3))\/h)\/h**1) assuming h is positive.\nAnswer: h**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is i in 5*i**4 + 33755*i**3 + 202410*i**2 + 404740*i + 269800 = 0?\nAnswer: -6745, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0, -2, 3, -245 in decreasing order.\nAnswer: 3, 0, -1, -2, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -341 + 605. Calculate the smallest common multiple of (2 + -1)\/(1\/11) and (z\/(-32))\/(3\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(((f\/(f*f**(2\/19)))\/f)\/f))\/(f\/f**(-3\/5))*f**(-1\/8)\/((f*f*f**(-1)\/f)\/f) assuming f is positive.\nAnswer: f**(1809\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of -72 - 10*r**2 - 24*r + 4\/3*r**3. Factor a(w).\nAnswer: 4*(w - 6)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -51 - -41. Let v be ((-13)\/m)\/(9*(-4)\/(-105)). Let b = 9\/8 - v. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86028 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: Round -34.7465126 to 2 decimal places.\nAnswer: -34.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 278915, 279080, 279355, 279740, 280235, 280840?\nAnswer: 281555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-4)\/(-5))\/(9\/(-20)). Let t = 14\/9 + f. Which is the smallest value? (a) 1\/2 (b) -0.4 (c) t (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1585246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -90.6083 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 3 + 3)*(-1 + 1 - 2*p**2 + (-5*p + 3*p + 0*p)*(p + 2*p - p) - 14*p**2 - 228 + 228).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10307711*w**4 + 5898975*w**2 wrt w?\nAnswer: 247385064*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -144*o**4 + 4656*o**3 - 38404*o**2 + 12416*o - 1024 = 0.\nAnswer: 1\/6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 - -1131020?\nAnswer: 1131024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -6*h**2 - 9*h. Let g(v) = 72*v - 7425. Let d be g(103). Let n = 1 - -2. Let u(o) = -o + n*o - o + o**2. Determine d*u(q) - x(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*v - 25 = -60*v + 14 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bqdd when four letters picked without replacement from {q: 2, b: 8, d: 4}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 4743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -81\/2, 0.043, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*v**5 + 98216*v**4 + 563838*v - 1?\nAnswer: 80*v**3 + 1178592*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -573 (b) -0.32 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 2*z**3 + 26*z**2 - 25*z + 39. Determine l(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of -1 + 0*f**3 + 6\/5*f**5 + 3*f + 0*f**2 + 0*f**4. What is the derivative of n(h) wrt h?\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fiss when four letters picked without replacement from {f: 1, s: 14, i: 5}?\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2721662551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3277989.\nAnswer: 3, 11, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the third derivative of -u**4\/24 + 2*u**3 - 2*u**2. Let q be v(9). Suppose -3*x = -f + 4, -x - 5*f = q*x - 20. Solve 8 = 4*z - x*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -4*s**2. Let b(p) = -802017*p + 402056*p + 401155*p. Calculate w(b(v)).\nAnswer: -5702544*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2876 = -15*z + 1549. Let i = -292 + z. Solve -3*f = i - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jkkkkkkjjkkkkkkk. What is prob of sequence kjk?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-12) + -10 + (-3650)\/(-360). Factor l*y**2 + 0 - 4\/9*y.\nAnswer: 2*y*(y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -5*k**2 + 4*k + 0 - 1 + 4*k**2. What is the units digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110 + 14*h - 30*h - 10*h**2 - 121 + 12*h**2 + 16*h.\nAnswer: 2*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1 (c) -1.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 + 0)*(-2*g - 3 + 3)*(62 - 106 + 84)*(51*g**2 - 4 - 54*g**2 + 3).\nAnswer: 480*g**3 + 160*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1116 a factor of 489880476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/6*15\/(-20)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6169417 is divided by 3988?\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*u + 16*u + 8*u + 22*u.\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 115359515?\nAnswer: 5, 23071903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -177 + 176.9. Let r = s + 0.2. Which is the closest to 2\/5? (a) 4 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 2*l**3 - 3*l**2 + l**2 - 10*l + 5 to the form r*l**3 + w + x*l + k*l**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 831, 1407, 1983, 2559?\n\"Answer: 576*f + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1641, 3281, 4921, 6561, 8201, 9841?\nAnswer: 11481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (7 - 0) + 1 + -3. Suppose -16*i - 6 = -19*i. Solve -d*y + i = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 u, and 1 f when three letters picked without replacement from iuunnuvuvfuvvn?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*a - 2*a + 904. Is -226 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 186711617 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -70986\/29 + 2449. Let k be 10\/300*649*1. Let j = k - 161\/6. Find the common denominator of s and j.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7764131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.1241 + -0.1243827. Round t to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 95*w**2 - 150 + 76 + 74 in the form s + j*w**2 + p*w and give j.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 10) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 + 0. Solve -2 = -u*z + w - 6, -4*w = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s**4\/5 + 3116*s**3\/5 - 52713*s**2\/5 + 18594*s = 0.\nAnswer: 0, 2, 15, 3099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(-26))\/((m**(-5\/14)\/m*m)\/m)*(m**16)**41 assuming m is positive.\nAnswer: m**(9581\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -4795137.88 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 33377 or 33331?\nAnswer: 33377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - -1120?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = -5*g - 45, -3*g - 948 = -2*r - 961 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 10, -8, -3 in descending order.\nAnswer: 10, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -444 - -438. Let o(a) = 2*a + 2. Determine o(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, s: 11}. What is prob of picking 1 v and 3 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 2*q - 2269 = 0, 4*q - 5*q = 4*i - 1823. Calculate the common denominator of (i\/180)\/(2\/(-6)) and (-375)\/20*4\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(24\/45)*14\/7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 312581.68 to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7377015?\nAnswer: 3, 5, 73, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the third derivative of -3*u**2 + 0 + 0*u**4 + 0*u + 1\/180*u**5 + 0*u**3. Let k(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 1540 = 4*y, -3*k + 0*k + y = 2315. Let o = -346 - k. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 36816*i - 2865. What is the hundreds digit of k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - -20101102?\nAnswer: 20101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h - 8*h - 5*h - 7*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18 - 13. Let w = -3 + 8. Solve 6 = -4*v - 2*z, 3*z + w = r*v - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 18 + -16. Suppose 4*i + 5*o = 52, -i = -z*i - o + 12. Solve -5*b + 2*a = -i, -2*a - 3 = -5*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 22000 (base 3) to base 14\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 12536.6403 to the nearest ten.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -5*i + 3*i - 3*h, 3*i = 4*h - 31 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of 2415 and -0.3.\nAnswer: -724.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**2\/7 + 8380*f\/7 + 203424\/7.\nAnswer: -4*(f - 2119)*(f + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -19*o + 9. Let d(r) = 9*r - 4. Let v(j) = -13*d(j) - 6*t(j). Differentiate v(i) with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from zxzqxxxokokkikk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 0 (c) 3 (d) 13\/30 (e) 464.76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 25832 = 5*w, -w = -0*w - 3*x - 5176. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5469.03 + -5469. What is the closest to -1 in n, 0.6, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.5 - 4.5. Let f = -3.9 - s. Let q = 2 - 1. Do q and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(99)*-1 + sqrt(99))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.57395 - 0.02895. Round l to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -32 - -31.81. Let b = -1.81 + s. Let f = 91\/88 - 10\/11. What is the second smallest value in f, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 990658?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 299, 0, 3\/7, -1\/3, 2.4 in descending order.\nAnswer: 299, 2.4, 3\/7, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -1062*w - 2117. Let t be n(-2). Let c be (4\/6)\/(6\/63). What is the greatest common divisor of t and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + -1 + (4 - 7). Let q(s) = -10*s**3 - s**2 - 2*s - 1. Is q(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -23*a**2 - 16*a + 37. Let h = 19 + -13. Suppose -5*p = -2*w + 31, -4*w - 5*p = -h - 11. Calculate the remainder when b(0) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -103 (b) -1.209 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 2, 264, 988, 2378, 4638?\n\"Answer: 34*v**3 + 27*v**2 - 57*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -32 + 51. Calculate the remainder when (-8)\/(128\/(-976)) - 11 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-5\/14)\/g**(-1\/14) assuming g is positive.\nAnswer: g**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d. Let n(u) = -4*u - 3. Determine n(g) + 3*q(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/36535 - 176827\/43842. Calculate the common denominator of m and (435\/(-18) + -1)\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -7 (b) 0.08 (c) 5 (d) -2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-three quarters of a century in months?\nAnswer: 21900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1203.\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*i = -387*g + 389*g + 82, 4*g + i + 17 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 977512943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/111 and -46\/629.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -83, 0, 15197, -3 in decreasing order.\nAnswer: 15197, 0, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.5 + 2. Let y = 1407.5136 - 1408. Let o = d + y. What is o rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.27 + -0.17. Which is greater: -2\/19 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 90 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -147 at least 1502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*u - 5, 2*u - 14 = -4*o. Suppose -o*d + 5*g = 6*g - 19, -5*d = -g - 11. List the prime factors of (2 + -1)*(10 + d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:20 AM and 8:21 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 3249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + 2)\/((2\/21)\/(-2)). Let y = v + 21. Solve 3*d + 0*d = y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 44203642 (base 7) to base 16.\nAnswer: 39fab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/3 at least 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.6? (a) -1\/5 (b) 1\/2 (c) -0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -12993856 divided by 56008\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j - 1. Let n = 2 + 0. Suppose -25*q = -23*q - 8. Suppose -q*o = 3*f - n*o - 18, 4*f - 31 = -5*o. Determine d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -165*c**5 + 3*c**3 + 514*c**2?\nAnswer: -9900*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 - 12*j + 35. Let l be o(3). Solve -3*w + 16 = -4*i, 0 = -5*w + 2*i - 4*i - l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/1527 and -11\/30.\nAnswer: 15270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-43 + 93 - 67)*(-4 + 9*h + 4) + 3 - 3 + h.\nAnswer: -152*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/(-272)*(-59 + 65) and -113\/40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1174 - 1174 - 2*n + 3*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - 6 - -5 - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) 5 (c) 3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-four fifths of a kilometer in meters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*b + 20*b + 2 = 0. Let q be (-153)\/(-171) + b\/19. Let x be 2\/(-5) - (-114)\/360. Put 2\/11, 0, q, x in decreasing order.\nAnswer: q, 2\/11, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 + 7*w - 80. Let n(h) = -4*h + 41. Let p(d) = 5*n(d) + 2*x(d). Differentiate p(s) wrt s.\nAnswer: -4*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 + 3*w**2 - w - 2. Let q be t(-3). Let f = q + 0. What is the tens digit of 19 + (f + 1)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (g + 2*g - g)*(-1842 + 48*g + 1842).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 AM and 10:17 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/((-24)\/30))\/((-5)\/(-13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 304 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 2*z + 5 + 2*z - 3. Let w(y) = 1650 + 0*y - 3*y - 1652 + 0*y. Let t(q) = 5*d(q) + 6*w(q). Give t(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-10) + 815\/25. Let s be (30\/(-55))\/((-2)\/132). Let d = s - m. Solve -8 + d = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88393210 to the power of 1\/2, to the nearest integer?\nAnswer: 9402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -5*u**5 - 303*u**4 + 1732*u**3 - 3264*u**2 + 2368*u - 528 = 0.\nAnswer: -66, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and 65.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 - 6. Suppose -5*h + h + 8 = 0. Let t be 2\/9 - h - -2. Which is the nearest to l? (a) 5 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2372*i - 39 + 39 + 1329*i + 8*i to the form g + w*i and give w.\nAnswer: 3709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -54\/875 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 3*r + 7 = 0, -36 = -5*v + r - 13. Solve 3*g - 4 = u + g, 4*g = 3*u + v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 88\/(-20)*((-25)\/10)\/1. Suppose 0 = -31*y - v*y + 10710. Do 254 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*w - 675 = 11*w - 571. Factor 744*c**2 - 8192 + 95\/4*c**3 + 1\/4*c**w + 7424*c.\nAnswer: (c - 1)*(c + 32)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of n**6\/720 + n**5\/180 + n**4\/144 + 8*n**2. Solve x(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -4*d - 16. Let l = 0 - 0.1. Which is the nearest to l? (a) -5 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 844, 1410, 1990, 2590, 3216, 3874, 4570?\nAnswer: 5310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of n**7\/140 - 17*n**6\/80 + 15*n**5\/8 - 103*n**4\/16 + 11*n**3 - 31*n**2 + 41*n. Suppose d(l) = 0. What is l?\nAnswer: 1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 248 + 125. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t**3 - 11*t**2 + 9*t - 390. Calculate y(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/8 and (184\/64)\/(-23)*(-2)\/(-898)?\nAnswer: 3592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -2*y**2 + 33*y + 13. Let t be m(17). Suppose 0 = -2*i - 8 + 56. Is 3 a factor of 66\/i - 1\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 3 = 4*m - 86, -10 = 2*a. Suppose m*r + 3178 = 15537. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 4 + ((-1*sqrt(891) - sqrt(891))*4 + sqrt(891))**2 + sqrt(891) + -3.\nAnswer: 9*sqrt(11) + 43660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -v**3\/5 - 1736*v**2 - 1329587*v\/5 + 1338268\/5 = 0 for v.\nAnswer: -8524, -157, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 163520 and 2560?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -232*n + 341 - n**2 - 190*n - n**3 - 170 - 170 as q*n + f + p*n**3 + c*n**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1 - (-15441)\/(-21))*(-1 - 6)?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -39*n**3 + 46*n**3 - 15*n**2 + 2*n + 3*n**2 as k*n + h*n**2 + l + r*n**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 0*z + z**2 + z + 2*z**3 - z - z**4 to f*z**3 + u*z**4 + b*z + k + r*z**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/9)\/(19\/(-342)). Solve -5*h = -6*h + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**3 - 539*q**2 - 463924*q + 915. Give y(-463).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 171, 190, 225, 282, 367, 486?\n\"Answer: g**3 + 2*g**2 + 6*g + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 181, 366, 551, 736, 921?\n\"Answer: 185*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 513 + -1072. Let c = x - -932. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-71967)\/(-4) + (-2 - 2*(-50)\/80) a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45495.73us in nanoseconds?\nAnswer: 45495730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, w: 2, u: 4, n: 1, y: 3, s: 1}. Give prob of sequence nu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 337451 - 337449. Let h = -42.18 + 0.18. What is the third smallest value in h, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b + 5 + 65 = -0*b - 9*b, -11*n - 1 = -15*n + 5*b for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-3\/4)\/((o\/o**(1\/5))\/o*o))\/(o**4*o**5) assuming o is positive.\nAnswer: o**(-211\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 342107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*m*x + 26930*m - 457412*x wrt m?\nAnswer: 2*x + 26930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41330 = -5*j - 5*x, -2*j + 5*x + 4750 + 11761 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(684) - (2 + sqrt(684)))*-3 + -1*1*sqrt(475))**2.\nAnswer: -240*sqrt(19) + 2044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 150, 149, 148, 147, 146?\n\"Answer: -i + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 138.5 - 135.5. Which is the smallest value? (a) -0.1 (b) 0.4 (c) g (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5 (c) 2\/7 (d) -1\/6 (e) -0.5 (f) -2.74 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 47 (b) -0.1 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00134411337 to 5 dps.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of y**5\/12 - 11*y**4\/24 - 5*y**3\/3 - 3*y**2. Let z(m) = -m**2 + 2*m + 2. What is 2*s(t) + 11*z(t)?\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9107297?\nAnswer: 127, 71711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48679 is divided by 157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 12325 divided by -425\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 98, 30, -60, -178, -330?\n\"Answer: -t**3 - 5*t**2 - 46*t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 7*w = -11*w - 24, a + 2*w + 3 = 0. What is the greatest common factor of a and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -66 - -57. What is the smallest value in 0.3, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1321 (base 6) to base 9.\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 28333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 337 - 190. Let r be (14 - 1) + (-1 - 1). Let h = 10 + r. Calculate the greatest common factor of h and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r*r**(6\/11))*r\/r**0)\/((r**(1\/2)\/r)\/r)**(-2\/27))\/((r**(-12)\/r)\/r**3)**39 assuming r is positive.\nAnswer: r**(61810\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 5*c**2 - 3*c + 154. Let k(w) = -w**2 - 1. Give g(m) + 2*k(m).\nAnswer: 3*m**2 - 3*m + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t + 9. Let b be c(7). Calculate the common denominator of 59*(-2)\/b - -4 and 89\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 28 = -3*u + 43, 5*y = 4*u + 49. What is the remainder when 365 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/93 (c) 0.1 (d) -1\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -187*s**2 - 169*s**2 + 354*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.5657 - -3.5657. Which is the fourth biggest value? (a) -0.02 (b) -0.3 (c) -8 (d) h (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of -r**4\/7 - r**3\/3 + r**2\/7 + 5. Factor a(y).\nAnswer: -y*(y + 2)*(4*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -2*n + 2*y + 1, -5 = n - 5*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.33567 and 0.3?\nAnswer: 0.63567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the third derivative of -1\/525*r**7 + 0*r**6 + r**2 + 0*r**3 + 1\/30*r**4 + 0*r + 1\/50*r**5 + 0. Factor k(x).\nAnswer: -2*x*(x - 2)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -201 (base 8) to base 3.\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (s - s - s)*(-3 + 0 + 4)*(-53 - 10 - 7)*(-s + 0*s + 0*s) to k*s**2 + p + b*s and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - 11131233300?\nAnswer: -11131233233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010001111011101 + 101?\nAnswer: 1010001111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -238*d**2 + 23*d + 27. Let l(p) = 62*p**2 - 6*p - 7. Give 6*j(k) + 23*l(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1 + 37 + (123 - (62 + 133))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*l**2 - 2967993*l.\nAnswer: 3*l*(l - 989331)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9.04 + -9. Let g = -0.04 + t. Which is the smallest value? (a) g (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 2*n = -3*u + 8, 19 = 5*u + 4*n. Suppose 0 = u*k - 0*k + 6. Let d be (-16)\/k - (-6)\/(-2). Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -4*d + 40, -b = -0*b + 4*d - 19. Calculate the remainder when 20 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 44*a*c**2*v - 6*a*c + 22*a*v**3 - 7*c**3*v**3 + v**3 + v wrt c?\nAnswer: 88*a*v - 42*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 10 = -s, 2*s - 2 = -t - 3*s. Suppose -t*h - 16 = -6*h. Solve 0 = -4*b - 2*m, h*b + m - 5*m = -24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1)*m)**(1\/4)*(m**1\/m)**(-37) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -a1 - -5?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 6872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = k + f - 60, 123 = 2*k + f. Let i be (-4)\/(-14) - 39\/k. Which is the nearest to i? (a) -0.5 (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10 + 40 - 16 - 10*p**2 - 12 in the form g + y*p**2 + j*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1260 and 6.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -5418 and -108.\nAnswer: 585144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in 5, 0.1, -49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 360*g + 757*g + 1653*g - 559*g + 1096*g to the form n*g + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - -4)\/(20\/90). Let x(w) = -w**3 + 7*w**2 + 18*w - 4. Let l be x(n). Put l, -1, -2 in decreasing order.\nAnswer: -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -4*a**2 + 4*a + 1. Calculate s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2014 is divided by 167?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 15052112 (base 6) to base 15.\nAnswer: a41d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 - 10*o**2 + 12. Suppose -5*t + 5*i = -25, -2*t = i - 22 - 3. Let j be m(t). Let u(q) = -2*q + 10*q - q**2 - q + j. Calculate u(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -145*l + 34*l + 110*l. Let k(z) = 11*z. Calculate -6*i(c) + k(c).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 22*f**3 + 4*f**2. Let z(u) = -21*u**3 - 3*u**2. What is 3*j(h) + 4*z(h)?\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 2 = -6. Suppose 137 = 12*b - 571. What is the remainder when b is divided by ((-30)\/(-8))\/(g\/16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48117 smaller than 48117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (4 - 4) + 24 + -88 + 108?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 14*r - 13. Let y be t(-4). Let g = -34 - y. What is the highest common divisor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22432541639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1939864977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -58 + 119\/2. Let n = 12 - 8. What is the closest to 3 in d, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7480\/69 + 326\/3. Which is the nearest to 1\/3? (a) j (b) 3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 - -687.909.\nAnswer: 691.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -36 = -8*o + 2*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -47 + 2066*u**2 + 2094*u**2 - 4239*u**2 as g*u + x + z*u**2 and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 2*x + 22 = 0, 0 = -0*y + 2*y - 4*x - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the second derivative of -363*b**8\/14 - b**6\/10 - 14963*b**4\/12 + 4774*b. Find the third derivative of x(j) wrt j.\nAnswer: -174240*j**3 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 20*r + 1. Let s(f) = -3*f. Let h(z) = 3*p(z) + 21*s(z). Give h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13130203 - 4?\nAnswer: -13130212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 44 + 11. Suppose -2*z + f = 5, 4*f - 9 - n = 2*z. Suppose 2*p + p + 4*i - 300 = z, 0 = p + 2*i - 102. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3, -22, -2, -153 in decreasing order.\nAnswer: 3, -2, -3, -22, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -159 + 164. Suppose 2*o = 3*b + 37, b + l*o + 5 = -13. Sort -2, -1, b, -3 in decreasing order.\nAnswer: -1, -2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1615*s**2 - 10*s**3 + 1615*s**2.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is w in w**2\/5 + 171*w\/5 + 338\/5 = 0?\nAnswer: -169, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1270.2 - 1270. What is the third biggest value in -301, v, -1?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3467 - -63024?\nAnswer: 66491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*z*z*z*(z**5*z)\/z*z))\/z)\/z**(-1\/4))\/(z\/(z\/(z\/z**(2\/3)))*z)**36*z**(1\/6)*z*z*(z*z**2)\/z*z*z*(z*z**(-7))\/z**(-2\/15) assuming z is positive.\nAnswer: z**(-1149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than or equal to -8\/260323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -33 - -35. Suppose 0 = -2*v - l + 12. Calculate the greatest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 5*c - 1146, 2*g - 424 - 38 = -2*c. Let v = c + 1297. Is v 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 1537 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ez when two letters picked without replacement from {z: 4, e: 3, v: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 616.1 + -615. What is the biggest value in -1\/8, y, 47, -5, -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 + 16*t**2 + 9. Determine y(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7448 + 7444. Sort 0, 5, -3, -14, w in decreasing order.\nAnswer: 5, 0, -3, w, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -57\/464 and 5\/4524.\nAnswer: 18096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4794, -5, -2\/9, -8, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 + 10*q + 18. Let f be o(-8). Suppose -4*s - 92 = -2*b, -3*s = f*b + 53 + 30. Calculate the remainder when 29 is divided by 1\/((-5)\/s*(-3 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 5*b + 8. Suppose 5*z = 3*t + 2*t - 5, 3*z - b*t + 7 = 0. Solve -4*m - 4*d = -16, 4*m + z*d = -m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1358\/15 + -3763\/15. Suppose q - 2*t = -2*q + 487, -503 = -3*q - 2*t. Let p = i + q. Find the common denominator of -47\/6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) -5 (b) -2 (c) -111 (d) -4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 57 + 40 = -5*w, w - 5*v - 181 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -206576 = -21*r - 11695 + 434027. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1355*i**3 + 10*i**2 + 11*i - 2 wrt i.\nAnswer: -8130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 7817279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1948060 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -334 = 702*m - 28*m + 1014. Let a(w) = -w**2 - w - 1. Let p = -36 - -50. Let c(v) = -11*v**2 - 6*v - 7. Determine m*c(x) + p*a(x).\nAnswer: 8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + 1101224?\nAnswer: 1101224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 24\/18 - (-25)\/(-60). Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 2*m**2 + 139*m - 2209. Give k(14).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09 + 85273.58?\nAnswer: 85273.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u - 163 - 83. Let n be 4\/(-26) - u\/(-78). Let h be (-2 - -3) + (n - 1). Calculate the greatest common divisor of 12 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 562438 + 283964 = 2*b, 2116003 = 5*b - 4*t. Suppose -20*h + 126181 = -b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -24*d*w**2*y + 182*d*y - w**2*y + 15*w**2 - 6*y wrt w?\nAnswer: -48*d*w*y - 2*w*y + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -10, -1\/6, 0.12, -0.06, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 75564 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (162*f**3 - 221*f + 221*f)*((-8 + 3 + 3)*(-7 + 7 + f) + 2*f + 0*f - 3*f).\nAnswer: -486*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 + 0 - (-11 + 7). Suppose -2*o + 4*j = -162, -2*o + j + m + 142 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -58, 8, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(0 + (sqrt(228)\/(-1*sqrt(432)) - sqrt(76)\/(sqrt(320)\/sqrt(5)))*3)**2.\nAnswer: -2375\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25039356.\nAnswer: 2, 3, 41, 50893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25 - 19. Suppose q*x + 659 + 175 = 0. Let f = x - -225. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 144345 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**4 - 8*h**3 + 4*h**2 + 24*h - 18.\nAnswer: -2*(h - 1)**2*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 5 - 3 = 0. Let j be 9*17 + i\/(-2). What is the greatest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 179 a factor of 10382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 244918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0325316169 rounded to 5 dps?\nAnswer: 0.03253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be 208 + (-2 - (4 + -6)). Suppose 0 = -2*s + 15*s - y. Calculate the greatest common factor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000239 rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = n**3 - 6*n**2 + 7*n - 4. Suppose 5*a - 2*u = 29, -7*a - 3*u = -2*a - 19. Let x be d(a). What are the prime factors of (9\/x)\/((-1)\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15.66 + -0.34. What is the second smallest value in -0.4, y, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.15 + -0.03. Let k = 0.9441 - 0.6441. Which is the nearest to q? (a) 2 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.842 + 5.542. Let v = -6.3 - -6. Let c = w + v. What is the third smallest value in 1\/3, c, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -8, -4\/21, 2, 3, -13?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/261 and -65\/9158913.\nAnswer: 265608477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.0475354, -1\/95, -1\/11 in descending order.\nAnswer: 0.0475354, -1\/95, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2386\/6 + 10\/30. Suppose r = 4*d - 190. Is d a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 - t**2 + 2*t - 2. Let n be r(0). Let h be n\/3 + 376\/60 + -6. Sort -0.09, -5, h, 3 in descending order.\nAnswer: 3, -0.09, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the second derivative of -a**5\/20 - a**4\/6 + a**3\/2 + a**2 - 15*a. Determine z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2227956244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/97660 and -131\/55100.\nAnswer: 14160700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21 + 6. Let t = -13 - j. Find the third derivative of p**3 - p**2 + 9*p**t + p**2 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -217 (c) 108 (d) -0.5 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 309979 and 749.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -267 (base 9) to base 3\nAnswer: -22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*j - 3*j + c, 14 = -j + 4*c. Let g be 0*(-2 + (-15)\/(-6)). Suppose -2*o - 12 + 2 = g. Put j, o, 4 in increasing order.\nAnswer: o, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 46*-0.25\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (890\/712)\/((-1)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -787 + 1311. Suppose b - g = 133, -3*b = -7*b + 2*g + m. What is the common denominator of 117\/14 and (5\/(10\/b))\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-41)\/(5\/(-75)*3). Suppose t + 1 + 1 = 0, -2*t + i = q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 3*f**2 + 15*f + 18. Is n(14) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -6*b**3 - 9*b**2 + b - 3. Let o(c) = -3*c**3 - 4*c**2 - 1. Let u(x) = 9*o(x) - 4*z(x). Is u(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**3 - s + 3. Let w be g(0). Let r(y) = 6*y**2 + 0 + w*y - 5*y**2 + 3. What is the lowest common multiple of r(-2) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*n + 984 = 57*n + 5*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-88)\/(-12) + -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3042117 divided by 117.\nAnswer: 26001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2754*j**3 - 7 + 5247*j**3 - 2634*j**3 to the form b*j**2 + m + s*j**3 + a*j and give s.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1371960.\nAnswer: 2, 3, 5, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -o + 0*o - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1\/6))**(-26)\/(((l*l\/(l\/l**(-2\/23)))\/l)\/l**(1\/6)) assuming l is positive.\nAnswer: l**(211\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1655*x + 2036*x - 1881*x - 3446*x**2 - 616*x wrt x.\nAnswer: -6892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 - -0.1. Let o be (-5 + (-4)\/(-2))*(3906\/567)\/31. Which is the third biggest value? (a) -18 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 70a7 - 1?\nAnswer: 70a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -l**2 + 20*l + 5*l**2 + 1 - 2*l**2 - 4*l**2 to g*l**2 + j*l + o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 38607, 154764, 348357, 619386, 967851, 1393752, 1897089?\nAnswer: 2477862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -4 - (5 - (2367 + 2)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 16012557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1132? (a) 0.5 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 42*u - 4*u + 228 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -230814*p**2*x**4 - 192179*p**2*x**2 + p**2*x + p*x**5 wrt x?\nAnswer: -5539536*p**2*x + 60*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3784\/(-20425) + (18\/(-855))\/((-2)\/10). Let b(g) = -g**2 - 4*g + 5. Let k be b(-5). Let h = -1 - k. Is h less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 160 = 2*j - 22*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*w - 525328 = 700473. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 736.498 (b) 4 (c) -2 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of 4*x**4\/3 - 59*x**3\/3 - 7557*x**2\/2 + 8035*x. What is the derivative of p(u) wrt u?\nAnswer: 32*u - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (v**3 - 2*v**3 + 7*v**3)*(-2329*v + 136*v + 1175*v) + (v**2 + 3*v**2 - v**2)*(1 + 2*v**2 - 1) + (-v - 1 + 1)*(4*v**3 - 3*v**3 + v**3).\nAnswer: -6104*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2912 - -2916. What is the greatest common factor of 41 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -8, -7, 4, 31, 80, 157, 268?\n\"Answer: n**3 - n**2 - 3*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2\/9))**3\/(((v*v\/v**(-1\/10))\/v)\/v*v**(-2\/21)*v))**(-23\/2) assuming v is positive.\nAnswer: v**(2691\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19377 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.826*-180175.\nAnswer: -148824.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:14 AM and 2:38 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5.5 - 6.5. Put -3, -1\/10, r in ascending order.\nAnswer: -3, r, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -376, -1446, -3228, -5722?\n\"Answer: -356*i**2 - 2*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.03 and -45911.1.\nAnswer: 1377.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8\/7 + 1\/7*l**3 - 6\/7*l**2 + 12\/7*l = 0. What is l?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-55)\/66)\/((-1)\/6). Suppose 4*u = -4*p + 32, 20 = -p + v*p. Factor -1\/5*x**u + 0*x**2 + 3\/5*x - 2\/5.\nAnswer: -(x - 1)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/2)*x)\/x*x**(-5\/6)\/x*x**(-2\/7)*x**(3\/5)\/x assuming x is positive.\nAnswer: x**(-317\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -778? (a) 172 (b) -0.2 (c) -0.3 (d) 0 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5938.994127 + -5939. What is p rounded to 4 decimal places?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -56*g**3 + 9*g**2 - 16*g + 1. Calculate u(2).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3371 - -2522. Suppose -u - 582 = -7*w. Let n = -625 + w. Is 50 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -10 - 155?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 12212453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.032 - -0.232. Let z = -0.1 - -0.1. What is the third biggest value in l, -0.05, z?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/(-3))\/(2\/(-12)). Suppose 2*l - i = -2. Find the first derivative of k + 5 + l - 2*k + 0 wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1836 + 1121. Let f be ((-44)\/r)\/((-6)\/(-15)). Find k such that -4\/13*k**3 + 0*k + 2\/13*k**2 + f*k**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 + 1.9. Let w = -0.02 - -6.02. Let g = w + -5.9. Sort b, -3, g.\nAnswer: -3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -3*c**3\/8 - 76275*c**2\/8 + 802872*c - 33748407\/2 = 0.\nAnswer: -25509, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 289 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -104 + 112. Let o(q) = -q**2 + q + 3. Let n be o(3). Sort 0.4, n, z in descending order.\nAnswer: z, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 2 = -3. Let o(z) = 18*z**2 - 7*z. Let c be o(t). Is c\/10 + 6\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 - -7. Suppose 21 = -k*a + 2*a. Which is greater: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 78 and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1571287747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 AM and 10:20 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.82 from -364280.\nAnswer: -364279.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -26\/5 (c) -278744\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 77369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(57)\/sqrt(3) - sqrt(19))*2 + -2)*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7609 is divided by 471?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 71 minutes before 7:27 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*v**3 + 2*v**3 + 2*v**3)*(-8 - 15*v + 31 + 17*v)*(1 - 2 - 1) as a*v**2 + h*v**3 + r*v + x*v**4 + z and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 56897609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -397, -798, -1203, -1618, -2049, -2502, -2983?\n\"Answer: -j**3 + 4*j**2 - 406*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(336)*2*-3)\/((sqrt(21)\/sqrt(3)*5 + sqrt(7) - sqrt(7)) + (sqrt(847) - sqrt(847)*-3) + sqrt(847)) + 0.\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 + 2*r**2 - r - 13. Let d be y(-5). Let k = -44 - d. What is k rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4*v - 1 + (-4 - 11*v + 4)*(-1 - 2 + 1) - v - 3*v + 3*v)*(4 - 2 - 1).\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**10*t)**0*t*t*t**(1\/27)*t*t**(-9)*t*t)**3 assuming t is positive.\nAnswer: t**(-107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes after 1:54 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p + p + 2*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 341, -4, 0.2.\nAnswer: -4, 0.2, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**3 - 3*u**2 - 2*u - 5. Let g be n(4). Suppose g*h - 438 = -3. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 + 2*g**5 + (5 - 3 - 3)*(-1 - 2 + 0)*(5*g**5 - 3*g**5 - 4*g**5).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**2 - n**2 + 3*n**2)*(n + 2*n - n + (3 + n - 3)*(-2 + 3 - 2) + 12*n + 5*n - 2*n) - 2*n**3 + 9*n**3 + 3*n**3.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (57*4)\/((-21)\/(-14)) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 606, 3063, 7170, 12927, 20334?\n\"Answer: 825*t**2 - 18*t - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 741097648 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pgygjggbpbbmyyb. What is prob of picking 1 b, 2 p, and 1 m?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1351 is divided by 1167?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 - 4 = 5*k. Let i = k + -4. Solve 4 - i = 2*x - d, 2*x - 5*d = 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*w = -7*w - 132. Let g = 120 - w. Suppose -g*m = -60*m + 24. What is the least common multiple of m and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (777\/(-1036))\/(342\/(-120))?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 3627098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 17 - 53 = 0. Let f(n) = -n**2 - 9*n + 8. Let m be f(t). Solve -5*j - m = 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-122 - -98) + (-11 - 33).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2391 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 2 o, and 1 f when four letters picked without replacement from wwoofffwfowoohojhfw?\nAnswer: 125\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -884548325 - 0.09\nAnswer: -884548325.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 2*f**2 + 11*f + 3. Let x be w(-6). Suppose -a - x = -5*b + 319, -a + 134 = 2*b. Calculate the remainder when b is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (-2*sqrt(425) + 3)**2 + (sqrt(204)*2*-5)\/(-1*sqrt(192)))*-4.\nAnswer: -6832 + 230*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83 = 2*y - 2*m + 87, -4*m + 8 = y. Sort -53, y, 4.\nAnswer: -53, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 3*d + 7 + 38 = 0, d - 40 = 4*t. Let m(x) = 19*x**3 + 13. Let p(z) = -10*z**3 - 7. Let g(v) = t*p(v) - 6*m(v). Differentiate g(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + v = -24. Let g(t) be the third derivative of -t**5\/60 - t**4\/4 - t**3\/6 + t**2. Let y be g(v). Which is the closest to -1? (a) y (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 821*i**3 + 382445*i - 383576*i - i**2 + i**2 wrt i?\nAnswer: 4926*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(5 + sqrt(17) + -1 - sqrt(17)))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 14170\nAnswer: -4251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -53.11 + 55.5. Let t = j - 1. Round t to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 5880168 divided by 93336\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 5*g = 3, -g - 21 + 4 = -4*c. Suppose 4*b + 20 = 0, 0*b - c*b = 4*v - 12. Factor -18*d**2 + 4*d**3 - 12*d - 8*d**3 - 6 - v*d**3 + 3 - 3*d**4.\nAnswer: -3*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the second derivative of y**4\/12 + y**3\/6 - 9*y**2 - 9*y. Does 6 divide x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4918, -19395, -43516, -77275, -120666?\nAnswer: -173683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -942, -1070, -1198?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 73 - 75. Let o = -4\/23 - 3\/115. What is the closest to a in 4, -4\/7, o?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the second derivative of y**4\/3 + 2*y**3\/3 + 13*y. Suppose 5*q - 9 = -3*m, -4*m + 4*q - 19 = 1. Let v(a) = a**2 + a. What is m*h(b) + 9*v(b)?\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t + 1. Let o(b) = -11 - b + 5*b + 2*b. Suppose 0 = 9*f - 5*f + 24. Let y(i) = f*o(i) - 66*l(i). Let p(c) = -2*c. Determine y(p(s)).\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.1, -0.051, -5, 0?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 90 and 9025.03.\nAnswer: 812252.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4826005 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -32*h**4 + 2*h**4 + 1 - 2*h**5 - 4 + (0*h**4 - 3*h**4 + h**4)*((-h - h + 0*h)*(-2 - 3 + 7) + h - h - 2*h).\nAnswer: 10*h**5 - 30*h**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes after 7:34 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1437491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87*n + 336 = 1815. Let v(i) = i**3 - 16*i**2 - 16*i - 25. Give v(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 (base 16) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 654\/(-4796)*(-7)\/(1344\/44)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 9:58 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 8 + 10 + 127\/(-7)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-2))\/(42\/(-336)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 3:00 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 96946.13t to nanograms.\nAnswer: 96946130000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, n: 2, i: 4, v: 5}. What is prob of sequence invi?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*d - 11*d - 150. 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 n be (-18)\/(-8) - 2\/8. Suppose 5*t = n*t - m + 41, m - 5 = 0. Suppose i + 31 = 3*x, x - 1 = -i + t. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3*(4 + -3) + 143. Let h = -143 - -86. Let r = h + z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**3 - 21*u**2 - 1156*u - 27640. Calculate k(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 13*q + 7. Let t = -233 - -213. Let l be t\/15 - -2 - 17\/3. Let b(y) = -7*y - 4. What is l*b(g) - 3*j(g)?\nAnswer: -4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-8)*10\/1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5495340 divided by 457945.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 3*w - 13. Let m be k(9). Let i be 96\/56 + 4\/m. Suppose 0 = -4*b + 8, -i*b + 5 + 3 = 2*q. Calculate the remainder when 5 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 21 + (-22 - (10 - 21))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -4*u + 15, 0 = b - 2*u + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - -20 - (5 + 4 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 14*h**2 + h - 1. Let u be p(1). Let r be (-4)\/u + 383\/(-7). Let b = 55 + r. Solve b = -2*t - 4, 0*t + 23 = -5*i + t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*3*(-1*sqrt(605) + sqrt(605))*5 + -4 + sqrt(605) + 1 + -6*(-4 + sqrt(605) + sqrt(605)))**2.\nAnswer: -5082*sqrt(5) + 73646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) 8 (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5582512 and 128?\nAnswer: 44660096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -56255 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1522.2 + 1522. Which is the closest to 2? (a) -3 (b) 2\/3 (c) j (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 + 7435*o + 3010714. Determine z(-385).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2, -2, 184.\nAnswer: -2, 0, 2, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -574*q + 3196*q + 3120*q - 410*q in the form p*q + r and give p.\nAnswer: 5332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**3*a**(1\/4)*a*((a**(1\/2)\/a)\/a)**(13\/5) assuming a is positive.\nAnswer: a**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is x in -x**2\/4 + 6837*x\/4 + 1435949\/2 = 0?\nAnswer: -397, 7234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 37 - (-2 - (-29 - (-39 - -20)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 24960509 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4965172973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 7*h + 2*h - 34 = 0, 4*h + 20 = 2*p. Let x = -1 + p. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t. Let c be p(5). Suppose -6*s = 4*d - 7*s - 7, -3*d = -s - 4. Suppose -5*v - 34 = -3*x, v + c = -5*x - d*v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 3.27804 and 46.\nAnswer: 49.27804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:20 PM and 2:52 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + 2 - (-1 + 1). Let w = 1 + l. Suppose 4*v - 4 = w*n + 8, 3*n + 2*v - 14 = 0. Solve s + n*d = -12, 4*s - s + 32 = -5*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 2*x)*(223*x - x**2 - 224*x - x**2) to w*x + s + i*x**2 + o*x**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 981 - 340. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 205019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.3 + -0.1. Let z = n - -0.5. Is 0.1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 208 + -206. Suppose t = d + 152, 7*d - 339 = -u*t + 2*d. List the prime factors of t.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12179678807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from gaieaggwg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + 2 + (339 - 327).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-502)\/(-10) + (-1)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 3. Suppose -c - 5 - 31 = v. What are the prime factors of c\/4*(-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -16*b - 10. Suppose 4 = -o - 0*o. What is the units digit of l(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/101 + -196\/303. What is the second smallest value in d, -2\/17, -0.055?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 - (1 - 1) - -516 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -312*g - 52. Let m be j(-12). Suppose -2*d + 80482 = -m. Suppose 0 = 16*r + 9239 - d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o + 2 - 2 + 1. Let u be z(1). Suppose 2*f + 3*w - 7 + 3 = 0, -u*w + 4 = 2*f. Solve -a = 5*d - 22, 3*a + f*a + 10 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*b + 0*b + b + (b - 2*b - b)*(-2 + 5 - 1) + (0 + 4 - 3)*(1 - 4*b - 1) in the form q*b + a and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1183909 is divided by 98649?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 2*k**3 + 375*k**2 + 189*k - 771. Determine p(-187).\nAnswer: -1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 25? (a) 2 (b) 0.4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 149.827 - -0.173. Let q = 146 - r. What is the second biggest value in -0.057, q, 5?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132242 is divided by 282.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 440 and 14?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/12882 and -85\/141702.\nAnswer: 141702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -2*p + 62. Solve -l - p*l - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-4)*(-2)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {e: 4, f: 4, m: 3, y: 1, g: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2*v + 1)*(-208089 - 2079*v**2 + 208089).\nAnswer: 4158*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-7)*38\/38?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -67 - -10. Let k = -911\/16 - c. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2*(-346)\/(15\/(525\/(-28))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -2\/17 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -4*u**2 - u + 4. Let a(f) = -3*f**2 - f + 3. Let w(l) = 5*a(l) - 4*y(l). Calculate w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 9*a - 44. Let p be c(8). Calculate the highest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 89529 - 36259187\/405. What is the common denominator of n and -64\/225?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/9*1*-111. Let n = y + -11. Calculate the greatest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 PM and 11:36 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002499823 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(1\/3)*c*c*c**18*c*c*(c**(-1\/5))**(-1\/16) assuming c is positive.\nAnswer: c**(5363\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9754 + 9763. Solve 16*b + 4*x = 14*b - 6, 4*b - g = -x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and -0.09034106?\nAnswer: 0.009034106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6.7 - 7. Let z be ((-7755)\/(-21))\/5 - -3. Let r = -77 + z. What is the closest to 0.1 in i, 1\/6, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 106 - 106 - 2015081*i**2.\nAnswer: -2015081*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9295085377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -9, -2, 19, -1, 81, -3 in increasing order.\nAnswer: -9, -3, -2, -1, 3, 19, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -111\/1370 and 51\/3425.\nAnswer: 6850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2 + 1)*(12*r**3 - 7*r + 7*r) - r + 2*r**3 - 4*r**3 + 3*r to f*r + t*r**3 + o + y*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 3 - 2 + 4*x - 5*x. Let r(b) = 2*b**2 + 12*b - 12. Let d = 755 + -755. Suppose 2*u - 3*h = -d*u + 24, 0 = u - 3*h - 12. Calculate u*s(t) + r(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/((-2)\/(-6)) + 27. What is the tens digit of (-6)\/v - (-142)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r - 5*o - 24 = 0, -50 = -5*o - 70 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -423, -427, -443, -477, -535, -623, -747?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 45696 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -112211 + 12?\nAnswer: -112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 42*a - 41*a + 61*a + 23*a in the form g*a + v and give g.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.09208 and 0.488371.\nAnswer: 0.396291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/89310 and -131\/158942030.\nAnswer: 476826090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1330343, 2660695, 3991047?\nAnswer: 5321399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -704\/3 - -236. Let j(n) be the third derivative of 2*n**2 + 1\/60*n**5 - 5\/24*n**4 - f*n**3 + 0*n + 0. Calculate j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {o: 7, l: 1, c: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 8*v**2 - 1. Let c be m(1). Suppose 0 = 4*d + c + 1. List the prime factors of (-1)\/((-27)\/(-15) + d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 2*q**3 - 34*q**2 - 2*q + 34. Let w be z(17). Suppose -7*g - 39949401 + 3059401 = w. What is g rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20 (base 10) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*l**4 + 3*l**2 + 38*l**3 - l - 36*l**3 + 0*l to the form g + t*l + a*l**4 + y*l**3 + d*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h\/((h*h**(-1\/19)*h)\/h))\/h)\/h)\/(h*h**(-10))*((h**(2\/5)\/h)\/h)**(-11))**(2\/23) assuming h is positive.\nAnswer: h**(4684\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 795*n - 510478 - 4123577. What is the highest common factor of 261 and n?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 4*v = -0*a + 336, 4 = 4*v. Calculate the greatest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (117\/26 + -5)*642*(-146)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -2*m**2 + 14*m - 26. Let v be d(8). Let h be -1 + (2 - 3 - v). Suppose -h = -z + 4*w, -4*z + z + 104 = 4*w. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 386, 439, 578, 845, 1282, 1931?\n\"Answer: 7*d**3 + d**2 + d + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1226527.915 less than 1009?\nAnswer: 1227536.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 29 = -7. Let z(i) = -i**3 - 16*i**2 + 5. Let v be z(-16). Suppose u*j - v*j - 568 = 0. Round j to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 19816690 and 11.\nAnswer: 19816701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 33964 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*p - 2*p + p + (-1 + 1 - p)*(3 + 0 - 4) - p - 3*p + 2*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -60 and -0.5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 32\/(3586\/(-3423) + 2\/42)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (9 - (-690)\/(-70))*(-42)\/(-45)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6.3 + -6. Let u(o) = -o**3 - o**2 - 2. Let n be u(0). Let y be 1\/n + 72\/16. What is the second smallest value in y, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -344 + 351 + p**2 + p + 5*p. Let l be f(-5). Suppose 0 = l*q - 1 - 9. Solve 0 = q*d + 2*r - 1 + 17, 2*d = -3*r - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -5\/347?\nAnswer: -5\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, r: 2}. What is prob of sequence rn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 13*k**2 + 297*k - 39. Let q be j(-23). What is the highest common divisor of q and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -5*k**4\/3 - 32*k**3\/3 - 52*k**2\/3 - 16*k\/3 = 0.\nAnswer: -4, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3851 divided by 3.\nAnswer: -3851\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -87.82 + 88.12. Which is the closest to -0.1? (a) -230 (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 4*c**2 - 3*c - 3. Let v = -1391 - -1395. What is s(v)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 7*g = 0. Suppose -3*p - 22 = -5*p - 2*f, 5*p - 4*f - 10 = g. Let x(l) = 2*l - 3. Let k be x(p). Solve 3*n = 5*r + k, 3*n + 24 - 3 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 229 + 19 = -o - 4*x, 251 = -o - 5*x. Suppose -67 - 314 = 3*b. Let g = b - o. Calculate the remainder when g is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*i = -84*i + 440. Let p(f) = f**3 - 2*f**2 - 4*f + 6. Let t be p(4). Calculate the highest common divisor of i and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 251171 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 65431459.8us to weeks.\nAnswer: 0.0001081869375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 10322, 10174, 9772, 8990, 7702, 5782?\n\"Answer: -21*i**3 - i**2 + 2*i + 10342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**6\/(g**27\/g))\/((((g\/(g\/(g*g\/g**21))*g*g)\/g*g)\/g)\/(g\/g**(-3\/2)*g)) assuming g is positive.\nAnswer: g**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12, 19, 54, 129, 256?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 89 - (-35 - (8 + -50)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -352408143, -704816284, -1057224425, -1409632566?\nAnswer: -1762040707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/54*930\/23 - 3. Let v = w + 346\/207. Sort 4, 2, 1\/9, v in decreasing order.\nAnswer: 4, 2, v, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 3*l**2 - 2*l + 1. Let c be h(1). Suppose -40 = -c*u + 5*n, 56 = u + 3*u - 4*n. Let s(m) = m**2 - 7*m + 1. Is s(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and -5.05421.\nAnswer: 20.21684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8313857\/84 + -98976. Calculate the common denominator of p and 69\/10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -13*m. Let v(f) = 2*f**2 - 29*f. Determine g(v(r)).\nAnswer: -26*r**2 + 377*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = 3*t - 249, -7*p + 3*p - 66 = -t. Differentiate t*s**2 + 18 + 16 + 15 - 2 with respect to s.\nAnswer: 156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53052, -212045, -476972, -847827, -1324604?\nAnswer: -1907297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 + -2 + (-17 - -26)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*r**3 + r - 156*r**3 - 98*r**3 + 0*r.\nAnswer: -289*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -23*u - 36*u - 2*u**2 - 33*u + 7*u - 4*u as s*u + r + k*u**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 97902 and 1558440?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 2*m = -970, 5*p - m - 202 = 993. Let f = p - 162. Suppose 3*l = -5*h + 251, -4*h + l + 279 = 68. What is the greatest common factor of h and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2728143 is divided by 227339.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26067, -51994, -77921, -103848, -129775, -155702?\nAnswer: -181629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let -40*s**3 + 5*s**3 - 61*s**3 - 118*s**4 - 121*s**4 + 236*s**4 = 0. What is s?\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n + 6. Let y be h(0). Suppose 3*o - o = -y. Let f be (-3 + 1)*(3 + -1). Is f less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1492*i + 4696 + 83332 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -4*o**2 + 2 - 6 + 2*o**3 - 4*o**3 + 2 - 3*o. What is the units digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or 329?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(3 + sqrt(13)*-1 + (-2*sqrt(117))\/sqrt(9)))**2.\nAnswer: -648*sqrt(13) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppzp when four letters picked without replacement from {b: 8, p: 3, z: 5}?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 461086 divided by 9.\nAnswer: 461086\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and 2248?\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (10\/15)\/(1\/78).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.5, 186, -0.198, -9, -44?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.4 + -3.4. Let u be (-4)\/(4\/(-3)) + -5. Put u, q, -0.4 in descending order.\nAnswer: -0.4, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y**3)\/y)\/(y**0*y)*(y*y**(-2\/3))**(2\/19)*((y*y**(-6\/11))\/y**(-2\/23))**(-5) assuming y is positive.\nAnswer: y**(4724\/14421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 20317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -218 + 5275?\nAnswer: 505a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/((-9)\/(-18) + 27955\/(-55880))?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 203157 (base 11) to base 9.\nAnswer: 546511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/33, 54, -141, -2, 3 in descending order.\nAnswer: 54, 3, -1\/33, -2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -563, -1278, -2287, -3740, -5787, -8578, -12263, -16992?\n\"Answer: -25*l**3 + 3*l**2 - 549*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - s. Find the third derivative of 3*r**6 + s*r**2 + 2*r**6 - 11*r**2 wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -30 - ((-27 - 65) + 40)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of 2\/15*y**3 + 1\/15*y**4 + 1\/75*y**5 + 0*y + 0 - 4*y**2. Factor h(b).\nAnswer: 4*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 151 a factor of 8030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 14990757653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, f: 2, d: 1, v: 2, o: 1}. Give prob of sequence or.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g - 19. Let s be x(12). Let v = s - -44. What is the greatest common factor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - 6. Suppose 5*a + 3*k + 0*k - 71 = o, 5*a - 74 = -2*k. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9 + 9 - 4*i**2)*(95*i - 311 - 168*i + 75*i) to the form p*i**3 + v*i**2 + f*i + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4120, -8232, -12340, -16444, -20544, -24640, -28732?\nAnswer: -32820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + -2 + sqrt(3) - sqrt(3) - (2 + sqrt(363) + sqrt(3))) + (sqrt(252)\/sqrt(7))\/((sqrt(3) + (sqrt(18)\/sqrt(2))\/sqrt(3) - sqrt(3)) + sqrt(3)))**2 + -1.\nAnswer: 154*sqrt(3) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 9973353 or 9973351?\nAnswer: 9973353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 237235 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*t - 441 - 43 = 205 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -168504209*t**4 - 296004456*t wrt t?\nAnswer: -2022050508*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2.281 (b) 50 (c) -3 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is v in 5*v**4 - 975*v**3 - 14385*v**2 - 51205*v = 0?\nAnswer: -7, 0, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum -10503819.86 and 399.\nAnswer: -10503420.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -b + 3*b + 134, 2*b - 2*p + 122 = 0. What is the second biggest value in b, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/4284 and 193\/7140.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (((sqrt(700) + 0)*-3 - sqrt(700)) + 2*sqrt(700)*-1 - 5*(sqrt(700) - (sqrt(700) + -4*sqrt(700)))*-6)**2.\nAnswer: 9097195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -330 = -3*q + 4*r, -130 = -q - 4*r - 4. Calculate the remainder when q is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.034 + -0.13?\nAnswer: 0.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 195.399 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = -2*c - 23, -4*c = 4*l - 14 + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 175, 179, 183, 187, 191, 195?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -7*h**3 - 2*h + 4. Let i(a) = -14*a**3 - 5*a + 9. Let c(x) = -2*i(x) + 5*s(x). Differentiate c(d) wrt d.\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3*-34715\nAnswer: 10414.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1144 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 443344 + 2*(-1)\/1. Let p(t) = -104447*t - 22. Let f be p(-12). Let g = r - f. Round g to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -10 (b) 2\/337 (c) -3\/2 (d) -46\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5484980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -6*v**2 - 7*v - 8. Let g(b) = 4*b**2 + 5*b + 5. Suppose 0 = -3*r + 5*a - 20 + 29, -11 = -r - a. Determine r*g(q) + 5*y(q).\nAnswer: 2*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3243, 12925, 29049, 51609, 80599?\nAnswer: 116013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*s = -27516 + 97248. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 - 947 = 80*x + 884 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -239 + 2*w + 72 + 0*w - 98 + 69 - 307.\nAnswer: 2*w - 503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1045, 2975, 5759, 9391, 13865?\n\"Answer: -c**3 + 433*c**2 + 638*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3575*l + 7 + 2722*l - 7)*(2 - 2 - 2*l**2)*(-l + 0*l + 0*l) in the form f + q*l + z*l**2 + j*l**3 + u*l**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 106 = 4*j, 271 = -8*o + 250372*j - 250371*j for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1954212 and 54496?\nAnswer: 2048014176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 - (-1 + 0) - 2. Let b = r - -20. Suppose -121 = 11*n - 363. What is the lowest common multiple of n and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 792\/(-6 + 2)*-1. Let s = -2972\/15 + i. Which is the third biggest value? (a) 3 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x = -x + 50. Let u = 237 + -175. Let f = x + u. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55199034 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10323191 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-6)\/4)\/(63\/126) + 5. Which is the nearest to -1\/19? (a) -4 (b) -2 (c) i (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.66 (b) 1\/4 (c) 0 (d) 462 (e) 3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = 2*u - 70. Let v(n) = n**3 - 10*n**2 + 5*n - 23. Is 12 a factor of v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/12)\/(14\/42)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*q + 12*q - 9 = 0. Let z be (-5 - -4)\/(0 - 7). Which is the closest to z? (a) -4\/3 (b) 1\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rllllrrrllllllllllrl. Give prob of sequence ll.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**0)**(-14))**(-2\/21)*u**5\/(u\/u**(-3))*((u**(2\/7)*u*u)\/u)**(-50) assuming u is positive.\nAnswer: u**(-443\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -870 - 23 = -20*b - 173. Solve 0 = -w - 3, -7*w = 7*a - 4*a + b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 174694 >= 174692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17\/17)\/((10614\/464)\/61 + (-91)\/8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 - 3.81. What is h rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**2 + 4*p - 1. Let q be c(3). Does 3 divide -6*((-21)\/q)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1010001100101 (base 2) to base 16\nAnswer: -1465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a**3 + a**2 - 2*a + 1. Let v be s(1). Let q = 11754\/5 - 7321267\/3115. Let h = -4\/89 + q. What is the closest to v in 0.4, -2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 866209 and 866207 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -135929 - -135988 - (4 + -2 + -2 - (-1 - 0)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2227a4 + -3465?\nAnswer: 21a33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14.98 - -14.9791717. Round f to 5 dps.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 106 in -5, 4, -1\/2, 133.7, 3?\nAnswer: 133.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11 - (-2 + 8) - 0) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 386, -21 in descending order.\nAnswer: 386, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -25 by 88736.\nAnswer: -25\/88736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, x: 7, a: 4}. Give prob of sequence cxc.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -100 - -496. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -47*t - 634. Determine k(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(2\/9))\/((r*r\/r**(-1)*r)\/r))\/(((r*(r\/r**(-2\/9))\/r*r*r)\/r)\/r**7)*r**(-5)*r**(-1)*r**(1\/2)\/r**(-3\/4) assuming r is positive.\nAnswer: r**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*f + 68 + 20 = 0. Let t(o) = 6*o**2 + 12*o + 37. What are the prime factors of t(f)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6191843\/1170 + 68970\/13. Let j = 100\/9 - v. Calculate the common denominator of j and 91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3991 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and -719?\nAnswer: 143.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -3424*y - 54929. What is j(-16)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 3*n = -9, 3*u - 4*n = -2*u + 23. Suppose -u*v = -41*v + 94886. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0\/(-6 + 1))\/1. Solve -r + 4*a - 11 = s, 0 = r + a + 32 - 36 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -99\/410 and -21\/75260.\nAnswer: 3085660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/327 + 967\/2289. Let s = 274 - 270. Is v equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3818952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 569, 573, 581, 593?\n\"Answer: 2*u**2 - 2*u + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 - (2\/8 - 189\/4). Let t = -37 + u. Let s(k) = -k + 36. Calculate the remainder when s(0) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -200664\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 38aaa3df - -3?\nAnswer: 38aaa3e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -542.441 + 542. Let z = -0.341 - p. Which is the closest to z? (a) 9 (b) -3 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 2665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 712926 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 437, 432, 417, 386, 333, 252, 137?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (66\/9)\/(-5*(-17)\/(-255)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 28399*s**2 - 11819*s.\nAnswer: 56798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148956458.\nAnswer: 2, 7, 10639747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3402 and 84.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(2299) + 2)**2*-1.\nAnswer: -2315 - 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/45*(-5)\/1. Let i = -10\/3 + 7\/2. Let k = -169 + 169. Which is the closest to k? (a) d (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2*j**2. Let c(i) = 157*i - 34. Calculate c(x(p)).\nAnswer: -314*p**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 10) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 51186 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + 20*m**2 - 21*m + 40. Let j be k(19). What is the first derivative of v - 8 + 12 - 2 + j*v wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32*(-48)\/10240*(-32)\/180?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -2*m**3 - 51*m**2 - 71*m + 27. Let r be o(-24). Let d(t) = -t. Let f(q) = -10*q. Determine r*d(b) - f(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*m = -61*m - 12. Calculate the common denominator of -53\/13 and (126\/m)\/(134\/40 - 2).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-1*sqrt(405) + -5*(-2 + sqrt(5))*4)**2.\nAnswer: -4480*sqrt(5) + 17280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and -17798896.016.\nAnswer: -17798899.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -166, -546, -1246, -2314, -3798, -5746, -8206?\n\"Answer: -8*y**3 - 112*y**2 + 12*y - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.3 + 5.3. Suppose 5*t = -2 + 2. Which is the second biggest value? (a) t (b) i (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 361452 by 91.\nAnswer: 3972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = 5*h + x - 16685, 2*x = 4*h - 13336. Is 116 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -5*t**2. Let s be 2 + 6\/(-4)*2 + 2. Let l be h(s). Find the common denominator of (1*-3)\/((-316)\/(-56) + l) and -31\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j + 20 = j. Sort 4, -1, j in increasing order.\nAnswer: j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 17*p - 1. Let a be f(-1). Let g = 18 + a. Suppose g = r + 2 - 0, -5*r + 119 = 3*k. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s - 18. Let a be i(20). Solve -a + 8 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 82*n**2 + 2. Let y be (-3 - 0 - -2)*3. Let w be i(y). Suppose -5*m + 3403 = 3*x, -5*m - w = -4*x - 4171. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 - v**2. Determine w(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1307 + 1939. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 26500 - 59156.5. Let w = f - -32509.527. Let c = -147 - w. Round c to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 818520 divided by 5.\nAnswer: 163704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/52 and -127\/8388.\nAnswer: 109044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*o**3 + 61*o**2 - 61*o**2 + 8*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000096181 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.08, 9, 1\/2, -1, 0 in decreasing order.\nAnswer: 9, 1\/2, 0.08, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 101 + -503\/5. Suppose 3*j - 5*j = 4*j. Suppose j = p + 4*p - 25. Which is the second smallest value? (a) p (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 0) + -1 - (-21 + 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 10 + h + 1 - 3. Let n be s(-10). Let o = -0.58 - -0.28. What is the biggest value in n, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 7, g: 2}. What is prob of sequence agag?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -28 + 39. Suppose 32*u = -2*u + 2*u + 64. Solve -2*j = -o*j + u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -346*m**5 - 29*m**2 + 4*m.\nAnswer: -20760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is (-4 + 11\/2)\/((-24)\/(-31888)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 10 = -3*a. Let w be 9\/(-6) - a - 2. Which is smaller: -2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (-2 - -2) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14388763?\nAnswer: 101, 109, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, b: 1, m: 5}. What is prob of sequence mrb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 7392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12829 + 18459. List the prime factors of h.\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 587692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 1)*(2047 - 143*a**4 - 2047).\nAnswer: -143*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 972*t + 20853 = -31263 + 9738 - 2334 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.6 + -1.4. Let o = 12039 - 12034. Which is the closest to 2\/5? (a) 3 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = 140 + 72. Let g = b + -49. Suppose 16*c - g*c = 0. Solve c = -5*o - 13 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 455965593?\nAnswer: 3, 23, 43, 227, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 11:57 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**(-2\/75))\/(p**21*p))\/((p*p\/p**(-2\/11))\/p**(1\/18)) assuming p is positive.\nAnswer: p**(-114343\/4950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together 3092192346249 and 2.\nAnswer: 3092192346251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -6. Suppose 2*j - j + 2*i - 17 = t, 3*j + i = 26. What is the least common multiple of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3923\/7 + -561. Which is the closest to 1\/3? (a) 5 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is m in -76\/5*m**5 + 2868\/5*m - 88 + 792*m**4 + 11168\/5*m**2 + 11896\/5*m**3 = 0?\nAnswer: -1, 2\/19, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 2085*d - 114. What is the thousands digit of r(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 0*i. Suppose -6 = 3*x, 0 = 5*j + 2*x - 8 - 13. Solve i = -3*l - 4*z - 28, j = -l - 3*z - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 85275948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2840 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -1007*b**3 - 4*b**2 + 18*b + 42. What is the units digit of c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from itseibv. Give prob of sequence ibi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2100*n**2 + 2100*n**2 - 4397*n**3.\nAnswer: -4397*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-5 - (-12 - 2)) + -5. Let k(d) = 3032 + 2*d - b*d**2 - 3039 + 13*d**2. What is the units digit of k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from {r: 5, y: 1, a: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -9580399 times -124\nAnswer: 1187969476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 41*b - 40*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(882)\/sqrt(9).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 40 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(-7*l + 4*l - 8*l)*(6 + 1 - 2)*(2 - 6 + 3) + 17*l + 11*l - 14*l.\nAnswer: -41*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is c in 27*c**4 + 303*c**3 - 258*c**2 - 72*c = 0?\nAnswer: -12, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13776208.740008 + 13776354. Let h = v - -1.730708. Let s = 147 - h. What is s rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 5*v - 6. Suppose -5*g + 4*q - 2 = 0, q = 2*q - 3. Let b be p(g). Solve 5*h - b*z + 2 + 4 = 0, -5*z = -3*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7712087 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10 - -11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 7\/904 and -74\/1017?\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**5 + 26*r**4 - 52*r**3 - 1755*r**2 + 1782*r. Let v(i) = -i**3 - i**2 + 2*i. Let j(p) = 5*v(p) + y(p). Factor j(c).\nAnswer: -c*(c - 16)**2*(c - 1)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 300 minutes after 5:56 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -5*x. Let v(z) = -2*z - 7*z - 5*z. Let a(m) be the first derivative of 7*m**2\/2 - 111. Let w(o) = -7*a(o) - 4*v(o). Give h(w(q)).\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:49 PM and 2:35 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1064343\/466 + -2284. Let y = l - 3376\/1165. What is the common denominator of y and 38\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -45.728 times 21?\nAnswer: -960.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -121925 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of -10*p**3\/3 - p**2 - 134*p - 6121. Let u(g) = -2*g. Determine n(u(s)).\nAnswer: -40*s**2 + 4*s - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11\/14 + 127\/126. Let k = -0.09 - -5.09. Sort k, d, 4\/5, 0.5.\nAnswer: d, 0.5, 4\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 8\/4*7*22\/(-77)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the third derivative of 0*h**3 + 0 + 0*h**6 - 7*h**2 + 0*h**4 - 2\/105*h**7 + 0*h + 1\/10*h**5. Find the third derivative of r(b) wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/8296 and -8\/11.\nAnswer: 91256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 7 (b) -5 (c) 13 (d) -0.1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 44 and 26356?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -4 (c) 362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -11*y**2 + 265*y - 30. Let o be q(24). Put o, -40, -1 in descending order.\nAnswer: -1, o, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n - 7. Let i be l(4). Let z be (-65)\/(-15) + i\/9. Solve z*m - 20 = -4*d, 3*m = -d - d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 27*w + 10. Let j(t) = -31*t - 11. Let a(i) = -6*j(i) - 7*r(i). Let s be a(-3). Solve 3*u = -2*g + 21, -4*g + s = -u - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*y - 7*y + 24*y - 8*y + 2*y - 8*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 17797901*p**3 + 61893124*p**2?\nAnswer: 106787406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 94*k**3 + 2*k**2 - 1. What are the prime factors of i(2)?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of a**5*c**3 - 84*a**2*c**3 - 24*a + 40*c**3 wrt a.\nAnswer: 20*a**3*c**3 - 168*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6.42912 rounded to one dp?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-2*-1*sqrt(171)*-1 - (1 + sqrt(171) + 2 + 0 + sqrt(171) + -2)) + 0)**2.\nAnswer: -16422 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 22 or -0.013?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1.1, 0, -2\/9, 0.1, -472, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1377\/11 + 125. Let f = 15.7 - 12.7. Let z be (-14)\/(-49) + 6\/(-70). Which is the closest to 2? (a) f (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7509069 equal to -7509064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -4*h - 3332, 2*r + 0*h = 2*h + 1334. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -3*h - 2. Let f = 4 - h. Solve f = 5*p - 3*v + 5, -4*p - 5 = p - 5*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -51991234 or -51991233?\nAnswer: -51991234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 119276, 477023, 1073270, 1908017, 2981264, 4293011, 5843258?\n\"Answer: 119250*i**2 - 3*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pymyuymyyuumme. What is prob of picking 1 m and 1 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -5*q - 1. Let j = 82 + -83. Determine v(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2046\/(-403))\/((84\/(-39))\/14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 214593190 to the power of 1\/2, to the nearest integer?\nAnswer: 14649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:43 PM and 5:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes after 12:50 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 897\/299*-3*(-2)\/21.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/22 and 79\/186?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -7*l**2 - l. Suppose 13 = -5*k + 4*b, 2*b - 6 = -3*k - 5. Calculate u(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l + 31. What is the remainder when b(-28) is divided by -36*(28\/(-6) + (-4)\/(-1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 - 7*h**2 - 4*h + 8. Let v be a(-6). Let o be (-3 - v*1)*2. Find b, given that 4\/7*b + o*b**3 + 0 - 18\/7*b**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 1879*n**2 + 110*n + 29. Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 161*k + 57860. Calculate p(-363).\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l - 0*l - 11. Suppose -14 + 8 = -6*i. Let q = i - l. Calculate the remainder when 45 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*o - 3*o + 9*o - 5*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 0*v = 3*l + 16, 2*l + 4 = 2*v. Let c = 11 + l. Suppose 4 = c*i - 0. Solve 2*g + i = 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 195*x**5 + 95*x**4 - 120*x**3 - 20*x**2 = 0.\nAnswer: -1, -2\/13, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5722648 is divided by 215.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 33*k**3 - 25*k**2 - 5. Let i(w) = 17*w**3 - 12*w**2 - 3. Let b(d) = 5*i(d) - 3*t(d). Find the third derivative of b(o) wrt o.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(-7)\/(8820\/(-4))*(-778)\/(-389)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 79709, 79708, 79707, 79706, 79705, 79704?\nAnswer: 79703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.7 + -234661191.\nAnswer: -234661190.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor h**4\/11 + 52*h**3\/11 - 1436*h**2\/11 - 4992*h + 101376.\nAnswer: (h - 22)**2*(h + 48)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-45)\/6)\/((-30)\/40 - 6 - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.42682482 plus 79.553?\nAnswer: 77.12617518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 + 408*q - 1635. What is j(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1\/(1*(-2)\/18). Let p = h - -6. Is -3 != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2831464, -2831405, -2831308, -2831173?\nAnswer: -2831000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes before 3:51 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8597, 33383, 74691, 132521, 206873, 297747?\nAnswer: 405143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 4*d - 14. Suppose -t + d*t = 24. Suppose 3*n = t*n - 50. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, 6, 4 in descending order.\nAnswer: 6, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1107819.\nAnswer: 3, 123091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/15 + 6\/(-45)*-291. Let g be (1\/2)\/(y\/12 + -3). Let m be 4*g\/(2\/13). What is the greatest common factor of m and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 87.3 + -87.2. What is the closest to -0.2 in c, 2\/9, 33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-70)\/(-15) + 2\/6. Suppose 0 = a + 2*a - h*o - 9, 4*a - 4*o = 4. What is the units digit of (a\/(-4))\/(3\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -110 + -81. Let b = -187 - s. Solve b*m + 1 = -3*n + 16, 2*m - 10 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 26808\/7 + -3830. Which is the fifth smallest value? (a) 12 (b) 0 (c) 5 (d) 71 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 6*v**3 + 27*v**2 - 4*v - 4. Let i(h) = -13*h**3 - 53*h**2 + 9*h + 9. Calculate -4*i(b) - 9*z(b).\nAnswer: -2*b**3 - 31*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -d (base 16) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 60\/9*15 + -8 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4513.58 + 4438. Let l = -89 - x. Round l to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -120695 divided by 101\nAnswer: -1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -19, -4, 2, 6, 0 in decreasing order.\nAnswer: 6, 2, 0, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 4\/11, -2, 0 in ascending order.\nAnswer: -2, -2\/9, 0, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -93.16 + 94.16. What is the second smallest value in 4, o, -10.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-6)*225\/30.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:21 AM and 11:30 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.077 + -1.077. Suppose -2*n = -5*n + 12. Let u = -586 - -620. Which is the nearest to y? (a) u (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*w = -4*o + w - 4, 5*w + 20 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-9)\/18 - 14\/(-4))*43. Let i = 25 - s. Is (-1*i\/(-12)*-15)\/1 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 107226\/(-5957)*(2\/(-3))\/(2\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 3*k = 566, 355*s = 357*s + 3*k - 230. Calculate the remainder when 4473 is divided by s.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1361*k**3 - 45*k**2 + 31*k**2 + 8*k**2 + 7*k**2 to the form i + p*k**3 + h*k + w*k**2 and give p.\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 108727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(3\/14))\/((n**(3\/5)\/n)\/n)*n\/n**(-26)*n*n*n\/(n*n**(1\/53)))**(-43) assuming n is positive.\nAnswer: n**(-5040417\/3710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**(-10))**(13\/3)\/(u*u\/u**(-8\/7)*u*u**(9\/4)))**6 assuming u is positive.\nAnswer: u**(3467\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 72420660 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 267335 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23957 is divided by 7969.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/235212 and -25\/289.\nAnswer: 3998604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 - (-1 + 8) - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 314\/48 + 2\/6 and -1 - 1\/(-10)*-79.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 2*z = 134, -5*f + 7*z - 2*z = 325. Let y = 133 - f. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeexxeeeeee?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -d + 9, 4*d + 12 = 32. Let u(y) be the second derivative of i*y + 0 - 1\/20*y**5 + 1\/2*y**2 - 1\/6*y**4 + 1\/2*y**3. Calculate u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -21*k**2 + 3. Let o(y) = -1. Give a(b) + 3*o(b).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7 + f23?\nAnswer: f2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, g: 1, h: 1, q: 2, b: 1}. What is prob of picking 1 h, 1 g, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add together -7.5915 and -0.2.\nAnswer: -7.7915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + -103040?\nAnswer: -103041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:59 AM and 7:37 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 0 + (-2 + 0 + 3)*(3 - 5 + 0) - 3 + 4 - 3)*(-4*n + 2*n + 0*n)*(559*n**3 + 277*n**3 - 48*n**3 - 45*n**3).\nAnswer: 10402*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**2 + 4 + 3*b**2 - 3*b**2 - 3*b + 3*b**2. Let y(o) = 3*o**2 - 5*o + 7. Let k(w) = 5*s(w) - 3*y(w). Let n(g) = g**2 - 2*g. Give 2*k(a) - n(a).\nAnswer: a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**4 + i**3 + i**2 - i. Let u(z) = 25*z**4 + 35*z**3 + 35*z**2 - 30*z. Let p(j) = 70*s(j) - 2*u(j). What is the second derivative of p(l) wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 9:01 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kckk when four letters picked without replacement from ckkkcckkkkkkkkk?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1144\/(-1001)*(-546)\/(-65)?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4169 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wlw when three letters picked without replacement from {l: 1, i: 10, w: 7, p: 1}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, f: 3, h: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1*(-1 + -4 + 5). Suppose -5*w - 9*w + 126 = j. Suppose -38*p + 39*p = 0. Solve 0*h + 2*o = -4*h + 2, 5*h - 4*o - w = p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 360214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16.4 - 16. Sort -5\/2, l, 0 in increasing order.\nAnswer: -5\/2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 649435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**4 + 6*i**3 - 45*i**2 + 12*i + 60.\nAnswer: 3*(i - 2)**2*(i + 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, 6851, -1\/3, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 274, 488, 1046, 2110, 3842, 6404, 9958, 14666?\nAnswer: 20690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7\/(7\/6) - -1. Suppose 3*o - 25 = -s. Solve -r + 7 + 2 = -4*k, -5*k + 3*r - o = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/((-45)\/16 - (-11 - -8)). Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -33 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4, 1, 2\/3, -109?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4002040144 - -10?\nAnswer: 4002040204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**3 + 5*v**2 - 17. Let l be g(-5). Which is bigger: l or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + 2\/1 - (-16 - -15). Let o(n) = -2 + 0 + 4*n**r - 3 - n**3 + 5*n + 0*n**3. Let b be 1*2*5\/2. Give o(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22998 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: Put 276, 42, 1, 4, 724 in descending order.\nAnswer: 724, 276, 42, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -379346 divided by -43?\nAnswer: 8822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*7931.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes after 10:03 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*j**2 - 4*j**2 - 3*j**2 + (2*j - 4*j + j)*(3*j - 3*j + 2*j) - 34*j**2 - 9*j**2 - 17*j**2.\nAnswer: -65*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3157.709ml in litres?\nAnswer: 3.157709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4.924001 millennia in decades?\nAnswer: 492.4001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 5*y**2 + 5*y - 6. Let s be f(5). Let x(u) = 40*u**3 - 4*u**2 + 3. Let m be x(1). Let j = m - s. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18*(-25)\/1800*12\/45*48?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 4*x = -8. Suppose 0*o = -x*o + 12. What is the smallest common multiple of 7 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**2 - 4136*d + 4132.\nAnswer: 4*(d - 1033)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 31*x**2 - 7. Let l(h) = -31*h**2 + 8. Give -6*l(c) - 7*w(c).\nAnswer: -31*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18)\/(-16) - (5\/14)\/(-16 + (-5002)\/(-287)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -447 - 0.3\nAnswer: -447.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9428*b**4 - 2*b**2 + 23*b - 1 wrt b?\nAnswer: 226272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 7 - 186842*j**3.\nAnswer: -186842*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2 (b) 16 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 741, 708, 661, 606, 549?\n\"Answer: g**3 - 13*g**2 - g + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1612 + -1021. Let j = c + -588. Solve 0 = -t - 3, -3 + 12 = j*p + 2*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19459561.\nAnswer: 11, 503, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 7815 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 p(z) = -3*z**2 + 0*z**2 - 3*z**2 + 1. Let y be (-56)\/(-21)*((-2)\/4 + -1). Let l be -6*y\/(-6) - -5. Give p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*r + 17 - 17)*(10 - 8 - 3) to the form n + d*r and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 2, q: 1, j: 6, g: 2, a: 1}. Give prob of picking 2 g and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 15, a: 3}. What is prob of sequence arrr?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -7*u**3 + u**2 + 9*u + 14. Let d = -357 + 355. List the prime factors of r(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/(-21))\/((-2)\/14). Let f be 4\/18 + -2 + v. Let g = -1 + -3. Which is the nearest to 2? (a) g (b) -2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/12 - (-14)\/8. Suppose -d*o + 93 = -225. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.187148 hours in minutes?\nAnswer: 311.22888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 3*y + 12, 0 = -0*y - y + 2*x + 1. Let m = 9 + y. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -3*b**3 + 4*b + 3. What is the remainder when r(-2) is divided by 64\/6 - (-2)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 - -5.971. Let i = -0.03016 - q. Round i to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -3*i - 9, 51 = -k + 4*i + 46. Let p(n) be the first derivative of 0*n + 0*n**2 + k + 13\/3*n**3. Let u(q) = q. Determine u(p(g)).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -7*r**3 + 14*r**2 + 7*r. Let k(l) = -11*l**3 + 21*l**2 + 11*l. Calculate -5*k(n) + 8*u(n).\nAnswer: -n**3 + 7*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 231144.28 rounded to the nearest 100?\nAnswer: 231100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 71\/4 of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 164898, 329818, 494746, 659688, 824650?\nAnswer: 989638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 454 - 453.6. What is the nearest to q in 2\/15, 2\/133, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 3, g: 5}. Give prob of picking 1 g and 3 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -2+-1690744372\nAnswer: -1690744374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p**2 + 33*p + 10. Let t be i(10). Let w = -72 + t. Suppose 5*s + w = 863. List the prime factors of s.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9107 is divided by 606.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 - 14. Differentiate -h**3 + 7*h**3 + 5*h**j - 14 + 0*h**3 with respect to h.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 4639631565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 122476 (base 9) to base 5\nAnswer: 4332042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -225, -227, -219, -195, -149, -75?\n\"Answer: w**3 - w**2 - 6*w - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 339330 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 112200, 112198, 112196, 112194?\nAnswer: 112192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes before 3:11 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16800 is divided by 218?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 26, 60, 92, 122, 150?\n\"Answer: -t**2 + 37*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 + -61a90?\nAnswer: -61a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16760 and 76470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 66446997.\nAnswer: 3, 43, 149, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-1*(-10)\/50 + 106\/20).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from coco. Give prob of picking 1 o and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 6:54 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1782) + (sqrt(22) + sqrt(88)\/sqrt(4) + sqrt(22))*-3)\/(-3*(sqrt(396) - (sqrt(396)*-2 - sqrt(396)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -2*x**3 - 63*x**2 - 43*x - 38. Let d be a(-31). Suppose -4*q + d = -42. Calculate the remainder when q is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 53900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*o + 2*b + 35, 987*o = 989*o + 2*b + 20. Suppose -5*r + 123 = 3. Sort r, -2, 3, o.\nAnswer: o, -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 9 - 2*c - 12 to q + x*c and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 253.191 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-15)\/10*(-16)\/6*1. Solve -15 = o*q + d, -d + 5*d = -2*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -3*v - 2*v + 11*v**2 - v**3 - 2*v + 5 - 2. Suppose 6*q - q - 50 = 0. What is the remainder when n(q) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.8, -3\/5, -0.001, 3.8 in ascending order.\nAnswer: -3\/5, -0.001, 0.8, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {u: 1, s: 1, h: 4, q: 7, g: 4}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 17*t - 17*t + 18*t**2. Let d(s) = -s. What is p(d(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -9*j**2 - 6*j + 93. Calculate l(6).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 604*t**3 + 11*t**2 - 9*t + 2. Is a(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-9)\/(-10) + 0 - -2 and -31\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 - -6f3?\nAnswer: 6ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -17550 (base 9) to base 16\nAnswer: -2f52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 6*w - 33 = -2*g, -10*g - 319*w - 50 = -5*g - 156*w - 158*w for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -126, -55\/6, -0.1, -2\/11, 40 in ascending order.\nAnswer: -126, -55\/6, -2\/11, -0.1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**2 + 14967715*d + 29935450.\nAnswer: -5*(d - 2993545)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 76863.33ml to litres.\nAnswer: 76.86333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -145, 5, 0, 195, -3, 1 in increasing order.\nAnswer: -145, -3, 0, 1, 5, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - 6. Is (0 + h - -2) + 30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 10 = -3*f + 2*f, s = -5*f - 10. Suppose 0*u - 54 = -3*u. What is the common denominator of s\/u*72\/16 and 5\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the second derivative of -2566*r**7\/21 - 407*r**4\/6 + r**3\/2 - 275*r + 2. What is the third derivative of n(p) wrt p?\nAnswer: -307920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 21*t**2 + 2*t - 1. Calculate q(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 8*u + 3*u - 22 = 0, 5*u + 28 = -3*t. Let n be 45\/(9\/(-3))*t. Suppose 0 = 5*w - 0*w - n. Calculate the least common multiple of w and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 3*m - 1254 = 0. What is the derivative of 28 - 418*w + m*w - 31*w**4 wrt w?\nAnswer: -124*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33411138157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 64 divide 13825600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -14 - -7 - (-17 + 3 - -34).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -56502 + -394?\nAnswer: -56896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 173708 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*t - 5*t = -m + 409, -1973 = -5*m + 3*t. What is the remainder when m is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -134 - -134. Solve -7*f + 5*f + 6 = y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - 17)*-2*(16 - (-590)\/(-40))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*b = 26*b - 5820. What are the prime factors of b?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 g, and 1 u when three letters picked without replacement from {k: 1, u: 1, r: 2, g: 2, b: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5476\/7 + -782. Which is the second biggest value? (a) f (b) -0.23 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -358 by 5.\nAnswer: -358\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yybbgbygyy. Give prob of sequence byb.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 3 + 1. Let r(b) = -1 - 2*b - 4 + 9 - 3*b**2. Let f(m) = -2*m**2 - 2*m + 3. Let d(o) = i*f(o) + 3*r(o). Find the second derivative of d(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -10, 362, -4 in ascending order.\nAnswer: -10, -4, 1, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q - 12*q = -279. Suppose 0 = 5*u - q - 77. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 7, 0.056, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2.1, 3\/7, -1694\/19?\nAnswer: -1694\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -47*c**3 + 9*c + 2. Let q be z(-6). What is q rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**2 + 100*h - 375.\nAnswer: -5*(h - 15)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*r - 2*r + r)*(45*r**3 + 16*r**3 + 50*r**3) to k*r**4 + a*r**2 + l*r + m + n*r**3 and give k.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1235, 2473, 3713, 4955, 6199, 7445, 8693?\nAnswer: 9943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2401244.\nAnswer: 2, 600311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 205045 (base 8) in base 14?\nAnswer: 1ab89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21*(-4)\/240)\/(((-28)\/7)\/(-32)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 23\/8 of a kilogram in grams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -17*b + 1. Let i(q) = -1. What is i(s) + o(s)?\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 2*b**2 + 2*b**4 - 3*b**3 - 3*b**4 + 5*b**3 - 1 to the form o*b**4 + l*b + g*b**2 + r*b**3 + x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 80 - 36. Let z = 35 - v. Let l = -3 - -1. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 17*a = -120. Let p(c) be the third derivative of -11*c**2 + 0*c**5 + 0 + 0*c + 0*c**3 + 1\/1140*c**a - 1\/228*c**4. Factor p(k).\nAnswer: 2*k*(k - 1)*(k + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8256 - 16856. What is z rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/22 and 119\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1))**(-35)\/(j**0)**(1\/33))\/(((j\/j**(2\/11))\/((j\/(j*j**(-3)))\/j))\/((j\/(j**(-1)\/j))\/(j*j*j**(2\/13)))) assuming j is positive.\nAnswer: j**(5295\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -91 and -163?\nAnswer: 14833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*j - 192 + 24. Suppose 267*d - 2161 = -28 + 1605. Calculate the least common multiple of j and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/(-5)*(-5)\/(-2). Suppose 1 + 7 = s*v. Suppose v*t - 4 = 2*t. Solve -t*r - 10 = -4*h, -3*r = -4*h - 6*r + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1 + 1)\/(15\/(-445)). Let s = 60 + z. Which is the second smallest value? (a) -1\/5 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -373071, -373078, -373087, -373098?\n\"Answer: -q**2 - 4*q - 373066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4668401 - 4668401 + 1453*s**2.\nAnswer: 1453*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1506*p - 9*p**3 - 2*p**3 + 1378*p - 2884*p.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 47811.99m to centimeters.\nAnswer: 4781199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 76856 and 4888.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(3\/5))**(-1\/4)*(j\/(j*j\/(j\/(j*j**8))))**(-32))**(-15) assuming j is positive.\nAnswer: j**(-17271\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-178)\/(-445))\/(-1 - 159\/(-165)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the first derivative of -k**2 - 2*k + 23. Let y(l) = l. Suppose 0*a = -5*a + 3*n - 6, 5*n + 9 = 2*a. Determine a*y(t) - b(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 9604.\nAnswer: 1\/9604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 - 11. Suppose 0 = -4*k - 5 + 13. Suppose -3*i + 7 = -k. What is the smallest common multiple of i and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8003 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**3 + 51*n**2 + 478*n - 42. Calculate z(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4233729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**3 - 50*d**2 + 12*d + 1871. Calculate h(49).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -83*t + 78*t. Suppose 6 = -3*j + j. Calculate the least common multiple of 32 and (t\/(-12))\/(19\/(-6) - j).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 15\/(-6) - (-5)\/(-10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -15, -13, 3, 33?\n\"Answer: 7*d**2 - 19*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -5, 2, -3, -834, 15, 1 in ascending order.\nAnswer: -834, -5, -3, 1, 2, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14033*c**3*g**3 - 2*c**3*g**2 - 6*c**3*g + 33*c*g**4 + 2850*c wrt g.\nAnswer: 84198*c**3 + 792*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 18, -0.13, 1, 7\/19, 5 in increasing order.\nAnswer: -0.13, 7\/19, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -106 - -103. Put h, -2\/9, 0.4 in decreasing order.\nAnswer: 0.4, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 + 13 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -4*a**2. Let y(x) = 3894*x**2 - 2*x. Give y(t(l)).\nAnswer: 62304*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -41065811 - -0.4\nAnswer: -41065810.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 6*j**2 - 9*j + 7. Let d be g(1). Suppose -3*y + 11 = 5. What is the first derivative of k**d - y*k + 4 + k + k wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1804? (a) -0.2 (b) 4 (c) 5.7 (d) 1 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*i + 61 = 235 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*i - y, 2*i - 26 = -0*y + 4*y. Suppose -5*u = 5*h - 310, 35 - 278 = -4*u - i*h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 341811 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 95 = 5. Let u = -2 - m. Suppose 2*p - 6 = 0, p = -3*r + 6*p + 363. Calculate the greatest common factor of r and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h + 5. Let j be z(-3). Suppose 4*o = -r - 21, 5*o + 13 = 2*r + 2*o. Let s = j + r. Sort -1, s, -5 in decreasing order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 - 8*h**2 - 15*h - 12. What are the prime factors of d(11)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 212222220 (base 3) in base 13?\nAnswer: 7c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 3*l**2 + 7*l. Let o(u) = -2*u**2 + u**2 - 4*u**2 + 6*u**2. Give g(f) - 5*o(f).\nAnswer: -2*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 23 + -23. Let g(o) be the third derivative of o**6\/120 + o**5\/60 + o**4\/24 + 3*o**3\/2 + 2*o**2. What is the units digit of g(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 396 and 84.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1290000 divided by 860.\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 3b (base 15) to base 6\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 2898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -42 - -47. Solve 4*p + 17 = w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 36 + 6 = 0. Which is the biggest value? (a) -0.06 (b) -0.2 (c) 1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 19 + (21 - 54)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 77829284 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2403421423 - 11?\nAnswer: 2403421412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 0 - 2 - 10*t**3 + 9*t**3 to m + u*t + h*t**3 + l*t**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -19 and -128.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of -x**4\/12 + 5*x**3\/6 + 8*x. Let b be p(5). Find the third derivative of -f**2 + b*f**3 - f**3 + 3*f**3 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 604697, 604731, 604787, 604865, 604965, 605087?\nAnswer: 605231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*-1*sqrt(21))\/(4*(sqrt(14)\/sqrt(2) + sqrt(7)))*3)**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 286 + -181. Suppose 3*a - 2*c = q, 4*a + a - c - 182 = 0. What is the remainder when a is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 + 5*n**2 - 8*n - 6. Let o be (5\/2)\/(2\/(-4)). Let x(q) = -2*q**3 - 10*q**2 + 16*q + 12. Let p(u) = o*h(u) - 3*x(u). Calculate p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42191 and 226858?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/15, -24, -9, 1\/4 in descending order.\nAnswer: 1\/4, -2\/15, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -11*x**2 - 10*x + 85. Let j be v(6). Round j to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 9*f - 2. Let w(k) = k**2 + k - 1. Suppose -3*a + 19 = 4*r + 1, 6*a = -4*r + 12. Determine a*w(i) + x(i).\nAnswer: -2*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(20)\/sqrt(4) + 3 - ((sqrt(10)*2)\/sqrt(2) + 1)**2.\nAnswer: -17 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s**3 - 4*s**3 + 4*s**3)*(-9 + 132*s + 9)*(1 + 2 - 2)*(-2 - 2 + 3).\nAnswer: 132*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z + 20, 21 = -2*h - z - 4. Let w be (-145)\/2 + 5\/h. What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 5 + 7. Suppose -15 = -2*t + n*l, -t + 3*t - 2*l = 10. Suppose t*q + 40 = 5*q. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 39\/106 or -1?\nAnswer: 39\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gggggggggxgg.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 + 17*w + 47. Let p be z(19). Let t(d) be the first derivative of 5*d**4\/4 - 11*d**3\/3 - d**2 + 5*d + 6. Is t(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 14 = -x, -3*x + 6*x - 5*p = 22. Which is the nearest to -1? (a) 1 (b) 3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 106 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -28*k**4 - 644*k**2 + 325*k**2 + 324*k**2 + 7*k - 29*k**3 - 7*k - 1 wrt k?\nAnswer: -672*k - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 60355 and 2495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/6*-6 + 1\/(-1). Suppose 0 = -r - 3*a, 3*a - 2*a - 3 = 0. Put x, r, -1 in decreasing order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -10, 3*w + 3*o - 15 = 6*o. Let q(d) = 4*d - 8. Let j be q(3). Solve j*y + 0 + 16 = w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 584 - -841. Let p = 1425.0000859 - q. What is p rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92649 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -216 (base 8) in base 7?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.2 - 0.3. What is the smallest value in 5\/2, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/5, -5, -2, -1\/2, 0.1 in ascending order.\nAnswer: -5, -2, -1\/2, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2 - 6\/(-5) - (4\/(-10))\/(420\/(-1050))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3983 + 47723\/12. Let r = -6683 + 13859\/2. Let b = r + -799\/3. Find the common denominator of z and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 32 - 23)*(237 + 131 + 42 - 3*t).\nAnswer: 165*t - 22550","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 100418, -4 in ascending order.\nAnswer: -4, -1, 100418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + 4. Let n(b) = -b**3 - 4*b**2 + 5*b + 1. Let l be n(-5). Let t(d) = -d - 92. Let c be t(-94). Solve c*o - s = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.9 + -1. Let n = -6.2 - -45.2. Let a = -40 + n. What is the nearest to x in 1.2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gxgxxgxx. Give prob of sequence xxgg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, 23\/3, 1\/83, 0.2, -10, -0.1, -8?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4010381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((-3 + sqrt(1300)*-2 + sqrt(1300))**2 + sqrt(1300))*-5.\nAnswer: -39270 - 2100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 - 10*o. Let s = -1526 - -1515. Calculate a(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 5*t - 18, -4*u - 6 = -3*t - 0. What is the remainder when 10 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) 0.12 (c) 1\/2 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1*(-2 + 5)*-1. Let d be 46\/10 - (-2)\/5. Put 0, l, d in descending order.\nAnswer: d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -443 + 4142?\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 338 + -119. Let d = v + -349. Let f = 129.09 + d. What is f rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5600)*4*4*4)\/((sqrt(800) - (sqrt(800) - (sqrt(800)*5 - sqrt(800)))*-3)*6))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zjz when three letters picked without replacement from zjzjjjjj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 - 2*d**2 + 3*d + 3. Let t be p(-2). Suppose 188*h - 28 = 185*h - 4*x, x - 24 = -5*h. Let a(w) = 2*w + 6*w - 2*w - 8*w + w - h. Calculate a(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 533 and 106887.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 220 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, d: 1, n: 1}. What is prob of sequence di?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 0.5 (b) 14\/253 (c) 0.4 (d) 0 (e) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11784?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**2 + 44*h + 358. Let x be g(-11). Suppose 0*z = -4*z + 16. Suppose b - z*b = -9. Sort x, 29, b in increasing order.\nAnswer: x, b, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 142229 divided by 4.\nAnswer: 142229\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1137047, 2274104, 3411161, 4548218, 5685275?\nAnswer: 6822332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2771251201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = 2*o + k - 0, -2*k + 2 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of -2*u**5\/15 - u**3\/6 + 2*u**2. Let i be d(-1). Let n be ((-32)\/12)\/(6\/i). Solve -3 - 13 = n*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-184)\/(-858) + 594\/(-9801). Let f = 6 - 5.93. Which is the third smallest value? (a) q (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17 - -14. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.2 - -2.2. What is the nearest to p in 4, 1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(114) + 4*2*sqrt(114) + 4*(sqrt(114)*1 + sqrt(114) + sqrt(114)))\/(sqrt(6)*-2*-2*-6).\nAnswer: -7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13055 - -65277\/5. What is the second biggest value in -8, 11, -3, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2404743 (base 8) to base 15\nAnswer: -cede6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-256 - 51*q**3 + 256)*(-45 - 32 + 45) to d + r*q**3 + c*q + g*q**2 and give r.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 8. Let d(b) be the second derivative of 7*b**3\/6 - 2*b**2 + 2*b. Is d(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1503.57 + -1503.1. Which is the second smallest value? (a) -4 (b) 0.3 (c) -6 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 6*q + 3, 0 = -5*t + q + 3824. Calculate the remainder when t is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {d: 6, f: 12}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**2 - 11*o + 31. Let a be k(7). Suppose 3 = -4*t + a. Suppose -2*j + t = 2. Let w(h) = 9*h**3 + h. What is w(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 507 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 47724, 47741, 47752, 47757, 47756, 47749, 47736?\nAnswer: 47717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 AM and 3:35 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - 1 - (4 + -2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17725*r + 7388 - 7388.\nAnswer: 17725*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*t**2 + 34*t**2 + 235*t - 56 + 55*t**2 - 16*t**3 - 31*t + 21*t**2 = 0 for t.\nAnswer: -2, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 2847405.\nAnswer: 1\/949135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 35787.07 micrometers to centimeters.\nAnswer: 3.578707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1300124547 to the power of 1\/3, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -110203032330 (base 4) to base 6\nAnswer: -311244420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -30 + -612. Is 12 a factor of 10\/45 + j\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -37, 1, 30, -4 in decreasing order.\nAnswer: 30, 5, 1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*z - 4 = -3*m - z, -2*z = 2*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n = 3*p - 6, -5*n - 62755*p + 1 = -62757*p + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5475495 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.917199*-0.19.\nAnswer: -0.17426781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6285.389 decades in millennia?\nAnswer: 62.85389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.3 + -6.3. Let z = -80 + 79. Which is the nearest to z? (a) q (b) 0.4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 108, 1, 3\/4, -2\/7 in decreasing order.\nAnswer: 108, 1, 3\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnmdpln. Give prob of sequence ml.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 - 8*v + 12. Let i be a(4). Let l be (4 - 15)\/((-1)\/i). Calculate the common denominator of -67\/15 and (278\/l - -7)*(-32)\/10.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -32867\/129 - -764\/3. Let d = i - 329\/129. Let k(m) = -m**3 - 2*m**2 + 3*m - 2. Let b be k(-3). Is b equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -171*c + 5*q = -173*c + 29, 2*q = -c + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3 + 0)\/(24\/(-56)). Let f = -5 - -10. Suppose 3*p - 30 = -f*y, -17 = y - 3*p - p. Solve -y = -5*s + o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1221545.\nAnswer: 5, 13, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -406*k**2*l**2 - 44*k**2*l + 10*k*l wrt l?\nAnswer: -812*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of -m**4\/4 - 2*m**3 + 4*m**2 + 8*m - 1. Let z be i(-7). Which is the closest to 0? (a) 5 (b) z (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, 6, -1\/4, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 60.1775 rounded to zero decimal places?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -223300031 (base 4) in base 14?\nAnswer: -4944d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:50 PM and 8:50 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -54414993, -54414995, -54414997?\n\"Answer: -2*y - 54414991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 2*u**2 - 22*u + 4. Let p be n(11). Solve -p = 5*q + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 2*o + o**3 + 1 - 4*o**2 + 4 + 0*o. Suppose 25 = -5*y, r + 6 = -3*y + y. Is 3 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010111111 - 10?\nAnswer: 10010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-6) - 16\/(-6). Suppose 2*r + x*r - 36 = 0. Let l = r - -7. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 10\/177 (b) -10\/9 (c) -27\/26 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the first derivative of 13\/2*r**2 + 0*r**4 + 1 + 0*r**3 - 39\/5*r**5 + 0*r. Find the second derivative of m(j) wrt j.\nAnswer: -468*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 21 + 4. What is the greatest common divisor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 11002070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 241 - 2?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -887 - -5?\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/6 + 539*z\/3 - 290521\/6.\nAnswer: -(z - 539)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjsjjjjjjjjjjjjjjjj.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 52, 0.2, 2\/9 in ascending order.\nAnswer: 0.2, 2\/9, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -5, -4, -1, 5, 37, 8.\nAnswer: -5, -4, -1, 3, 5, 8, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the second derivative of -f**3\/2 + 7*f**2\/2 - 4*f. Let k = -11 + 16. Give l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/6 of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 5. Suppose 0 = 4*h - 2*s - 12, h - 3*s = -0*s + 8. Suppose -5*t - 4*x = -52, 2 - 3 = t - 3*x. Solve -2*q - 2 = 3*d - w*d, -2*d = -h*q + t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 343*5.\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:56 PM and 2:38 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 30012 and 31476?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 36817541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5363740747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 2238*m + 387161. Let r be n(-173). Suppose 3*t = 4*q + 37 - 11, 2*q + 18 = 4*t. Put -2, r, q in increasing order.\nAnswer: r, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the third derivative of b**5\/60 + b**4\/4 + 3*b**3\/2 + 13*b**2. Let z(g) = 0. What is g?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express u**3 + 0*u**3 - 2*u**3 + (6*u**2 - 75*u**2 + 8*u**2)*(-2*u + 5*u - 6*u) as p*u + k*u**3 + d*u**2 + r and give k.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -6501, -13279, -20023, -26733, -33409?\n\"Answer: 17*w**2 - 6829*w + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 4 = -3*i. Let k be (4\/i)\/((-3)\/6). Solve 0 = y - k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 65.28119 hours?\nAnswer: 235012.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 175 = 5*o, 2679*b - 2674*b - 143 = -3*o. What is the remainder when 39 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -2*i + 1 + 2 - i - 2*i**2. Suppose a + 0 + 3 = 0. What is j(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the first derivative of x**4\/4 + 62*x - 57. Let p(s) = -s**3 + 6*s**2 + 7*s. Let a be p(7). What is the units digit of z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-129*74\/(-1591)*4\/378)\/(26\/9)\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x + 5*b - 20 = 2*x, -3*b = 12. What is the highest common divisor of 270 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l\/(l*l**16*l))**(-29)\/(l*l**20\/l*(l**(2\/3)*l)\/l))**2 assuming l is positive.\nAnswer: l**(2660\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*x - 20 = 38*x, -t + 33 = x. Which is smaller: 15 or t?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 331 is divided by 107.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.624 - -0.234. Let d = c - -2.21. Round d to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 2*p**3 + 118*p**2 + 3*p + 315. What is the least common multiple of 27 and s(-59)?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11352 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -171 + 166. Let m = 0 + 0. Suppose 4*y = 4 - m. Which is the second smallest value? (a) r (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32 and 3245856?\nAnswer: 3245856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 5 = -0. Suppose -v + 3 = 2*v, -5*v = q*r - 3700. Suppose 6*b - r - 1079 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -90 - -2. What is the units digit of (45\/30)\/((-12)\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95*t = -92*t - 237543. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 86 (base 13) to base 8.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 106663 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2307, 3652, 3107, -270, -7421?\nAnswer: -19288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/5)*o**(-6))\/(o\/o**(1\/5))**(-1\/10) assuming o is positive.\nAnswer: o**(-143\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 2*x + 11. Let z = 12.24 + -12. Let u = 0.06 + z. Sort x, u, 3\/4 in decreasing order.\nAnswer: 3\/4, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2f754 (base 16) in base 13?\nAnswer: -6a62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**5\/3 - 298*s**4\/3 + 10646*s**3\/3 + 33746*s**2\/3 + 34352*s\/3 + 11552\/3.\nAnswer: 2*(s - 76)**2*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 - 0. Suppose -4*v = -3*z - 24, -k*v - v = 5*z + 5. Suppose 11 = 4*u + v. Solve g - u = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8358 + 68918. Round t to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, y: 3, w: 3, j: 4, k: 4, c: 2}. Give prob of picking 1 l and 1 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1257*b - 3874 with respect to b.\nAnswer: 1257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 37*w. Let r(u) = 32965*u. Give r(d(a)).\nAnswer: 1219705*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 4349.089 times -0.04\nAnswer: -173.96356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 148, 296, 444, 592, 740?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiriigrrppririiirr.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 94947263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 50133708 divided by -36\nAnswer: -1392603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 4 = -45*n + 43*n, 3*n - 6 = -2*l. Solve n*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of v**4\/4 - 5*v**3\/3 - 9*v**2\/2 + 21*v - 100. Let c be y(6). Put 38, c, -0.1 in decreasing order.\nAnswer: 38, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 + -1. Let p be ((-1)\/2)\/(1\/(-8)). Suppose -3*o - 3 = -p*o. Calculate the greatest common factor of a and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4475, -203, 2, -4, -5, -2 in descending order.\nAnswer: 4475, 2, -2, -4, -5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 23 - (-5 + 4)*2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 30*y + 811. Calculate o(-26).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7503 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (103 + -97)*36\/2. What is the closest to 0.1 in 0.5, h, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 2*v + 13 - 0, -10 = -3*y - v. Suppose 2*u - y*u - 10 = 0. Is -11 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 36, 81, 124, 165, 204, 241?\n\"Answer: -j**2 + 48*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1339284 and 7664.\nAnswer: 5357136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4343404195 and -13.412?\nAnswer: 4343404208.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 3 (c) -0.064 (d) -17 (e) 2\/3 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 - 7*m**2 - 3*m - 4. Let f(h) be the first derivative of h**4\/4 + 8*h**3\/3 + 7*h**2 + 4*h + 19. Let t be f(-6). List the prime factors of z(t).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 334, -236, -1180, -2498, -4190?\n\"Answer: -187*s**2 - 9*s + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 + -3. Suppose -2*b = 5*a - a - s, 4*a = 3*b + 31. Does 3 divide a*(-3)\/(-8)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 513884.6cm to micrometers.\nAnswer: 5138846000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 1\/69, -3, 3, 3\/7, -1?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -3*u - 134, r + 163 = -2*r + 5*u. Let a be r\/70 + 1\/2. Let y = a - -4\/7. Are y and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 22\/374623 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 - -93340ca?\nAnswer: 93340d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19711*j**2 + 19711*j**2 + 137*j**3 + (-3*j + 0 + 0)*(2*j**2 + 6*j**2 - 12*j**2) to the form t + o*j**3 + a*j + q*j**2 and give o.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9.8 + -4.7. Let t = -5 + z. Let m = 320.6 + -318.6. Which is the nearest to m? (a) 0.3 (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 3:34 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -160\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 11570 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 104683 times 0.9?\nAnswer: 94214.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6822 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 1428167 to the nearest ten thousand.\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 915773779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/19593 and 64\/117.\nAnswer: 254709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2585, 5132, 7617, 10010, 12281, 14400?\n\"Answer: -5*t**3 - t**2 + 2585*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4730971*f*t**4 - 27349*f*t + 2*f - 4*t + 1 wrt t?\nAnswer: -56771652*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 142135202?\nAnswer: 2, 11, 6460691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17\/(20808\/(-30552)) + 25?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k**2 - 215611566*k + 3874028949414363 = 0 for k.\nAnswer: 35935261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3*s**2 + 9*s - 38. Calculate n(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 627 + 423 = -2*p, -5*g = -5*p - 225. What is the greatest common divisor of 1232 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -392 - -665. Suppose -4*y + 407 = -b. Let p = y - 56. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 4*z + 72, z = 4*v - 3 - 28. Let h = -13 - z. Solve g + 19 = -5*d, 2*g + 2*d + h = d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3020001 (base 5) in base 7?\nAnswer: -260211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3069, -3076, -3087, -3102, -3121?\n\"Answer: -2*c**2 - c - 3066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 - 0)*2\/(-4). Suppose -5*c = -5*r - 15, -4*r - 4 = -2*c - r. What is the nearest to 1 in 2\/15, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**2 - m + 1. Let s(l) = 123*l - 3 - 126*l + 5 - 4*l**2 + 2*l**2 + 1. Give -6*d(f) + 2*s(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 56565086 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.2, -2, -0.5, -2.2, -34, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -56\/5 and 87\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-28*d + 91*d + 8*d - 2 + 3*d + 0*d + 4 + (0 - 2 + 3)*(-2*d + 3*d - 3*d))*(4 - 4 + d**2).\nAnswer: 72*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -268 divided by 134\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/1392948 and -137\/76612140.\nAnswer: 76612140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 5*q - 3*t - 8, -5*q - 4*t + 33 = 0. Let o(m) = 4 - 2 + 5 + m - q. Let z(n) = -n**3 + 6*n**2 - 8. Let c be z(6). What is o(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45 + -28 - (106 - (-14 + -3 + 3))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 7, -4 in decreasing order.\nAnswer: 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -447 + 447 + 0*q + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 20.808521604 + 3?\nAnswer: 23.808521604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**3 - 3*h + 3*h)*(-189 - 262 + 129 - 107)*(-2*h - 2*h - 4*h).\nAnswer: -6864*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.07 in 2\/9, 2, 0.4, -1988?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 2*i + 19. Give c(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*x - 2 = -14*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5.063 + 3812.563. Round x to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 611012*n - 1462*n - 7 + 7.\nAnswer: 609550*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*b**3 - 7*b**3 + 5*b**3)*(-185*b + 59*b + 69*b).\nAnswer: -342*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**3 - 2*p**2 - 6*p + 9*p**2 - p. Let n be h(6). Suppose -230 = 7*k - 237. Is k less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 885 + -567. Let u = -214 + v. Let c = -109 + u. Sort c, 7, 1, -0.5 in increasing order.\nAnswer: c, -0.5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6257*f + 6391*f + 6142*f - 19053*f.\nAnswer: -263*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61*o**3 - 10*o**3 + 583 - 583.\nAnswer: -71*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -58*w - 2957. Let t be d(-51). Let z = -0.1 - 0.1. Put 2, t, z, -5 in ascending order.\nAnswer: -5, z, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 2*b + 4*b - 8 = 0, -2*b = -5*v + 12. Suppose -7 = -3*a + v. Solve -a = -2*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and 127990.45?\nAnswer: 639952.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -170308, -340386, -510464, -680542, -850620, -1020698?\n\"Answer: -170078*y - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -73264*z - 68. Let r be c(-12). Round r to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 22491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27284223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(7\/4))**0*((b**(-5)*b)\/(b\/(b*b**(-2\/5))*b))**(-5) assuming b is positive.\nAnswer: b**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 0*p + 62 - 107 + 3*p + 50. Let y(u) = -u**3 + 7*u**2 - 7*u + 8. Let l be y(6). Let d(g) = g + 2. Calculate l*m(a) - 5*d(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*l**2 - 44*l**2 - 10*l**2)*(0 + 2 - 1) to a + z*l**2 + w*l and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of 321*g**4 + 412*g**3 + 1231. What is the third derivative of k(w) wrt w?\nAnswer: 7704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/880 and 17\/154.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5076781 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -137968.54 rounded to the nearest one thousand?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10 + 9. Let z(r) be the third derivative of -r**6\/60 - r**5\/15 + r**3\/2 - 984*r**2. Let c(j) = j**2 - 1. Calculate x*z(i) - 3*c(i).\nAnswer: 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -4. Let p = 939 + -932. What is the greatest common factor of p and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 2*b + 593 = 0, 0 = 6*j - 3*j + 3*b + 360. Let r = j + 124. Solve -5 = r*u - 4*n, 7*u + 4*n = 4*u - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of 166*o**6\/15 + o**4\/12 + 64*o**3\/3 - 428*o. Find the third derivative of h(x) wrt x.\nAnswer: 7968*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 450, 456, 472, 504, 558, 640?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*g**3 - 6793*g**2 - 42604*g - 9132.\nAnswer: (g - 761)*(g + 6)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0048831644 to five decimal places.\nAnswer: 0.00488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 8*w + 482. Let n(f) = -f - 39. Determine -9*n(v) - u(v).\nAnswer: v - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 - 6*p - 5. Let z be x(-4). Suppose 4*c = -z*t - 0*c + 106, c = -t + 36. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -5*v**2 + 61240*v - 4867200 = 0.\nAnswer: 80, 12168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 268059206 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/129? (a) 0.2 (b) 4 (c) -2\/3 (d) 5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2638823364 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/2698188 and -83\/3818622?\nAnswer: 450597396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 3 (c) 2\/3 (d) -3 (e) 221 (f) -1 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 104 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 3 = 0, 0 = -4*q + o - 6*o + 11. Suppose 2*l = -0*l - 3*u + 9, -q*u + 12 = 3*l. Calculate the remainder when 20\/(l + (-8)\/(-20)) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7002170 rounded to the nearest ten thousand?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the first derivative of -17*h**3\/3 - 21. Let m(d) be the third derivative of -d**5\/20 + 2*d**2 - 20*d. Give i(m(v)).\nAnswer: -153*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-97576)\/(-683424)*2 + 2\/(-7))\/(-1) and -119\/18?\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4502.8 + -4503. Let u = -0.2 + 0.5. Which is the biggest value? (a) 7 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1051 in 17, 0.5, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -14*b + 5 + 0*b + 0*b. Let j(m) = -5*m + 2. Let c(f) = -3*a(f) + 8*j(f). Let d = 5 + -7. Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 - 32510?\nAnswer: -32502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 4*r - 3*i - 615 = 0, -r + 309 = -2*i. Let z = r - 121. Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -34458 or -34453?\nAnswer: -34453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -789 - -409. Suppose i + 3 - 15 = 0. What is the common denominator of ((-2)\/i)\/(15\/u) and 59\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -45946976 != -45946958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -13*z. Let d(c) = 4*c. Let b(j) = 14*d(j) + 4*u(j). Calculate b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 7 = -2. Suppose -x + 2*d + 3 + b = 0, 0 = -x + d + 6. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12036783, -24073564, -36110339, -48147102, -60183847, -72220568, -84257259?\nAnswer: -96293914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 165\/(-9)*78\/(-429)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 - 9*n**2 - 5*n - 11. Determine l(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -37 (b) -0.4 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gluglueegekgukgelg. What is prob of sequence kgk?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 + 16*l - 34. Let n be z(13). Suppose -u + 4*v = -143, 3*u - 446 = -0*u - n*v. Let w = 270 - u. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 321194 and 615?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4 + (-1 - 2))*2. Let o be (-2)\/(-1) - 0\/(-1). Solve 3*q = w*s + 8, o*q - 1 - 5 = s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:35 PM and 1:30 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00004736695 rounded to seven decimal places?\nAnswer: -0.0000474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15212, -17199, -22602, -33131, -50496, -76407?\nAnswer: -112574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from hmhsmsmmmssssms?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 28, 64, 118, 196, 304, 448, 634?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeereeeeeee?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(26)\/sqrt(2) + 1)**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -32695406*w**4 - 26525849.\nAnswer: -130781624*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 1897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - 9.009. Let i = s - -0.00899884. Round i to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-30))\/((48\/10)\/12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 7*m. Let i(y) = -3*y - 4. Let b(k) = -6*k - 9. Let a(r) = -10*r**3 - r**2 - r - 1. Let z be a(-1). Let o(s) = z*i(s) - 4*b(s). What is v(o(p))?\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40144 = u + 3*u + 9*u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 18 = -4*o, 3*o - 8*o = -4*v + 10. 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: Is 1748753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2424 - -2433.845. Let j = 10 - w. What is j rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**12*z*z)**(-1\/14) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 8024 by -236.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 3866*d. Let k(n) = -11*n**2. Determine k(i(z)).\nAnswer: -164405516*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(3\/4)\/x)\/((x*x\/x**4)\/x))\/((x*x**(-1\/5))\/x*x**6)*(x\/(x\/(x**(-2\/7)*x)))**(31\/3)\/(x**(1\/4)\/(x\/(x**(1\/2)\/x))) assuming x is positive.\nAnswer: x**(586\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x. Let z(t) = -t + 11. Let y be z(14). Let u(s) = -58*s**2 - 5*s. Let h(o) = -29*o**2 - 3*o. Let n(d) = y*u(d) + 5*h(d). Give g(n(a)).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -3 times 92\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -301, -586, -847, -1072, -1249, -1366?\n\"Answer: 2*z**3 - 299*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**2 - 16*w - 8. Does 10 divide u(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the third derivative of t**6\/120 - 7*t**5\/180 + 5*t**4\/72 - t**3\/18 - t**2 + 28*t. Factor y(z).\nAnswer: (z - 1)**2*(3*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 6*p = -4*d - 112, -5*d - 75 = -3*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05? (a) -1\/3 (b) -4\/5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5279219*n**2 + 8*n + 357179097 wrt n.\nAnswer: 10558438*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*p + 16*p + 24 = 0. Which is the second smallest value? (a) -0.2 (b) p (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 - 2*t - 3. Let k be m(-5). Let f(b) = -b**3 - 102*b**2 - 16. Let a be f(-102). Is k <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkokodkkw. Give prob of sequence wdkk.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -l**3 - 4*l**3 + 6*l**3 - 2*l**3 + 4*l**3 + 0*l**3 + (-5 + 3 + 1)*(2*l**3 - l**3 - 3*l**3).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9736 is divided by 7505?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 4629, 17014, 37663, 66582, 103777, 149254, 203019, 265078?\n\"Answer: l**3 + 4126*l**2 + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v. Let x(t) = -23*t**2 + 8*t**2 + 13*t**2. Determine h(x(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/6367 or 0?\nAnswer: -2\/6367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 - (-3 - (-2 - -2)). Let d(x) = x**2 - 37*x - 106. Let l be d(39). Let a(z) = -z - 32. Let o be a(l). Sort -1, 3, t, o.\nAnswer: o, -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40173*k - 40173*k + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 553 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.18 take away 773.621?\nAnswer: -773.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - j - 32 = 0, 2*a - 3*j = 8 + 10. Let q be (-2)\/(((-1)\/(-7))\/((-12)\/14)). Solve -2*p - q = -a*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 50043 and 16341.\nAnswer: 272584221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v*v**(-5)*v)\/v**7*v**(5\/3)*v**7*v*(v*v\/v**(2\/11)*v*v*v**(-2\/27)*v)**(-7\/6) assuming v is positive.\nAnswer: v**(-8675\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -69 - -7. Let d = m - -64. Let t(z) = 832*z. Let x(v) = -26*v. Let o(s) = d*t(s) + 65*x(s). Let g(b) = 3*b**2. Determine g(o(i)).\nAnswer: 2028*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 364 and 93548?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1122 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o + 0*o + 2*o)*(-4 + 6 + 2)*(39 + 41 - 48).\nAnswer: -128*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 5*f - 15 + 39 = 0, 2*y = -3*f - 3. Solve 3 = y*x - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -55085 (b) 0.7 (c) 0.163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 118329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 847.3888 millilitres in litres?\nAnswer: 0.8473888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 7*j. Let r = -11 - -5. Let d(h) = -20*h. Suppose 0*v - 5*q = -2*v - 54, 4 = q. Give r*d(n) + v*m(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2119\/56 - 305\/8. Let v be (-6)\/58*(-2)\/(-3). Let r = -5 - -7. Which is the closest to v? (a) 1 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: 2301002 (base 4) to base 10\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 115*n - 4*n**2 - 32 - 154*n + 119 + 69 + 79*n.\nAnswer: -4*(n - 13)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 2*c**2. Let b be a(-1). Let w(t) = t**2 + 5*t - 5. Let d be w(-6). Is b at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r - 2*r - r + (-r + 0 + 0)*(-4 + 5 + 1) + 0*r + 4*r - 2*r + 0*r - 2*r - r)*(58*r**2 + 31*r**2 - 30*r**2)*(8*r - 44*r - 14*r).\nAnswer: 11800*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 5\/4271051?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 1569 + 909 = v, 5*d + 2*v - 1632 = 0. Calculate the greatest common factor of 1804 and d.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 558023 and 905.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 5*v - 33. Let d be (9\/(-15))\/(1 - 152\/140). Calculate m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**3 - 3*w**2 - 6*w + 1. What are the prime factors of d(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of ((-21795340)\/75)\/(-7) + 80\/1200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 5*f - 1 - 13 = 0, -16 = 2*n + 4*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1100101011 - -1111001100111?\nAnswer: 10000110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9063*t**2 + 19701*t**2 - 9161*t**2.\nAnswer: 1477*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 6*k**2. Let g(h) = h**2. Let v(u) = 5*g(u) - s(u). Let p(w) = -2*w + 4. Let t be p(-6). Let z(r) = 16*r - 4*r**2 - t*r. Determine v(z(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -28*j - 7*j + 8*j + (-3*j - 2*j + 3*j)*(-1 - 3 + 3)*((-1 + 1 + 1)*(-2 - 2 + 2) - 5 + 3 + 3 - 6 + 2 + 2).\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.32438973 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 8 + -3 + -2 - (2 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*c = 12*c - 148. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 5*y**3 + 139*y**2 + 150*y + 4502. What is p(-28)?\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8 - ((-6)\/8 + 253\/44). Let s(y) = 1. Let v(n) = n**2 - 5*n + 4. Let u be v(3). Let r(q) = q + 2. Determine l*s(k) + u*r(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.6? (a) 2\/9 (b) -1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 6*k**3 - 9*k**2 + 13*k - 17. Let b(c) = 2*c**3 - 3*c**2 + 5*c - 6. What is 8*b(p) - 3*o(p)?\nAnswer: -2*p**3 + 3*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (122*v - 15*v**4 - 122*v)*(0*v - 4*v + 6*v)*(180 - 121 - 129).\nAnswer: 2100*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2707614 and 8?\nAnswer: 10830456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -167*h + 35*h = -12 + 1200 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 0 - 2 - c + 4*c**3 - 6*c**2 - 3*c**3 + 6. Let v be g(6). What is the units digit of 32\/24 + v\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sy when two letters picked without replacement from seskenrykknesn?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4638\/343 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 116?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 10) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 16779143 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -m - 4. Let y be h(-5). Let l be (-3)\/y + (14 - -3). Let o be (-758)\/(-6) + 1\/(-3). What is the highest common divisor of l and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 0*w**3 + 10 - 3*w**3 + 4*w**3 + 10. Let v be z(0). Let p = 19 - v. Let i(t) = -3*t + 1. Calculate i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5881395 divided by 6.\nAnswer: 1960465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-11 + 1)\/(3\/15). Let i = w - -53. Suppose i*p - 14 = p. Solve -p*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.04 (b) 0.094 (c) -53.6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of 51*l**2\/2 + 37*l + 29. What is the first derivative of q(p) wrt p?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2149134725 + 7.58.\nAnswer: 2149134732.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 3*h + 5*a = 180, h = a + 38. Sort h, 7, -3, 2 in descending order.\nAnswer: h, 7, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -197 (base 12) to base 15\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4142.8 + -4440. Which is bigger: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 41219245, 41219251, 41219253, 41219251, 41219245, 41219235, 41219221?\n\"Answer: -2*z**2 + 12*z + 41219235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 91\/5 + 6047\/15. Which is bigger: 421 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3859 in -4\/3, -5, -22, 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 96102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 2*q + 24 = 0. Let o = q - 9. Solve 0 = -5*l + 5*w - 10*w + 20, -5*w - 20 = -o*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1, -2, 106, -29 in descending order.\nAnswer: 106, 0, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the first derivative of l**4\/8 + 7*l**3\/3 + 109*l**2\/2 - l - 64. Let v(x) be the second derivative of u(x). Calculate v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -52 - -129. Suppose -o + k = 15. What is the highest common factor of 155 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3835 and 1426048585.\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 4545870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 + 1. Let q(f) = -5*f**2 + 7*f + 2. Let u(d) = -6*p(d) + q(d). Let k(z) = z - 1. Let h = 19 + -25. Give h*k(c) + u(c).\nAnswer: c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 847522.\nAnswer: 2, 13, 37, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, i: 1, o: 1, g: 2, h: 1, l: 1}. What is prob of sequence ggw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 40, 111, 230, 397, 612, 875, 1186?\n\"Answer: 24*m**2 - m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 16733540039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 302424, 604848, 907272, 1209696, 1512120, 1814544?\n\"Answer: 302424*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1222 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73048 is divided by 103?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add together 42 and -28209.\nAnswer: -28167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 572 minutes before 5:01 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -332 * 0.2\nAnswer: -66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (45\/(-27))\/1*(-2)\/60*6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 31*w**3 - 51*w**3 + 28*w**3 + 2*w + 4*w as k + d*w**3 + n*w**2 + f*w and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -2*k**2 - 5 + k**3 + 12*k**2 - 6*k - 6. Let a = 4317 + -4325. What is the tens digit of h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -107, -296, -613, -1058, -1631?\nAnswer: -2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 4*m + 16 = 0, 3*o + 5*m = 7*o - 20. Put 1, -1, 5, o in ascending order.\nAnswer: -1, o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 157*b + 44704 = 1173*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 4017.842m to micrometers.\nAnswer: 4017842000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 9*d**3 - 9*d**2 - 9*d + 3. Let o(m) = -5*m**3 + 5*m**2 + 4*m - 2. Let p(z) = 3*h(z) + 5*o(z). Calculate the remainder when 55 is divided by p(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.64 (b) -25 (c) 4 (d) -188 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dydbwzp. Give prob of sequence dy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 113*c**2*d**2 - 121*c**2 + 4*c - d**2 wrt d.\nAnswer: 226*c**2*d - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -3*k - 12. Let p be l(-4). Solve 5 = -z - p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5748695.1s in hours?\nAnswer: 1596.85975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1945.7um?\nAnswer: 1945700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11295 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 117 - 188. What is m rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**2\/2 + 136502111*u - 18632826307456321\/2.\nAnswer: -(u - 136502111)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q + 2. Let w be l(0). Let a be 1 - -10 - 2\/2. Suppose -6*h = -a - 2. Solve -3*c - w = -3*t + h*t, -3*c - t = -2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 38 and -56.951.\nAnswer: -2164.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7865 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 577317, 2, -67 in ascending order.\nAnswer: -67, 2, 577317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 127799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 96 - 101. What is the hundreds digit of b\/(-5) - -490 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*g - 378 = -2*l - 525, -l + 5*g + 24 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 4*v**2. Let n(l) = 2*l**2 + 0*l**2 - 8*l**2 + 3*l**2. Determine n(b(d)).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1\/371 - 1118\/1855. Let z be (-942)\/45 + 4\/(-10). Let r = z + 308\/15. What is the second biggest value in r, -4, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 248858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -3.07. Let n = x + -0.03. Let z = 5 + -8. Is z not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -36*6\/(-12) + 42\/(-12)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppipipippp?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 121133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1925 + -1925. Let q(m) be the first derivative of -7 + 6\/5*m**5 + c*m**4 + 0*m + 0*m**2 - m**3. Find the third derivative of q(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4157675993 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhk when three letters picked without replacement from {k: 4, h: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 16) in base 2?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -3*t**2 + 122*t - 188. Calculate n(44).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 + 2.1. Let w = -731\/4836 + -1\/372. Sort w, b, 2\/7 in descending order.\nAnswer: 2\/7, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -5512, 0, -2, 2.\nAnswer: -5512, -2, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 283*g + 353. Let h(t) = -95*t - 118. Determine 8*h(k) + 3*l(k).\nAnswer: 89*k + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1788270483.\nAnswer: 3, 596090161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1305 = 3*i - 1071. Which is bigger: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of j**3\/6 - 3*j**2 - 2*j. Let w(l) = -3 + 4 - 2. Calculate -i(f) + 3*w(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 3*f = 3 - 4, f = -5*n + 9. Let k be ((-2)\/(-1))\/(n\/1). Solve 0 = -2*t + k - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 7*c = -30. Let x be 26\/c + (-18)\/(-30). Find the common denominator of 17\/(-22) + (-2)\/x and 115\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(6\/(-1)))\/((102\/2295)\/(1\/(-55)))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -26*l - 142. Let k(u) = -8*u - 47. Let y(c) = -14*k(c) + 5*x(c). Let t be y(-6). Solve 0 = 7*n - t + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.67 + -2. Let k = -453 + 455.23. Let v = k + p. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 2*w**2 - 1956 + 653 - 16*w + 20*w + 653 + 651. Let u(i) = i**2. Let j(f) = f**3 - f**2 - 2*f + 1. Let s be j(2). What is s*d(q) - u(q)?\nAnswer: q**2 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - 0. Let c(v) = 5 - 2 - 17*v**o - 14*v**3 + 20. Let x = 24 - 30. Let g(n) = 5*n**3 + 6*n**2 - 8. Determine x*c(j) - 17*g(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -2.22, 0.3 in decreasing order.\nAnswer: 0.3, -0.4, -2.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -16912000 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 7*h**2 - h. Suppose -n + 54 = -3*u + 50, 4*n = -2*u + 2. Calculate l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the second derivative of n**5\/20 + 5*n**4\/3 + n**3 + 14*n**2 + 64*n. What are the prime factors of s(-19)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**2 - m**2 + 2*m**2)*((0*m - m + 0*m)*(-m + 2*m - 4*m) - m**2 + 3*m**2 + m**2).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(833)*-5*6 + (-1*(2*sqrt(833) - sqrt(833)) - (3*sqrt(833) + -3)))**2.\nAnswer: -5208*sqrt(17) + 12808217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = 10*v + 108. Let b be (4 + -2)*(10 + v). Let q = -0.5 + 0.1. What is the fourth smallest value in -2\/11, -2.4, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 371 divided by 124186.\nAnswer: 371\/124186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a - 39 + 767 = 0. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ryrrrrmqrrmzzamara. Give prob of sequence rm.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 498057 or 6474724\/13?\nAnswer: 6474724\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2075635802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -50 - -52. Suppose -t + 4*t = y + 26, -o*t + 3*y + 29 = 0. Solve m + h + t = 6*m, 4*m = -2*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 39*i**2. Let z(f) = 3*f**2 + 5*f + 5. Let g(h) = -2*h**2 - 3*h - 3. Let a(d) = 5*g(d) + 3*z(d). What is a(o(j))?\nAnswer: -1521*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 110 - 162. Is 408\/(-1)*91\/k a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 8*v. Let i(d) = -15*d. Let y(u) = -6*i(u) - 11*n(u). Let j(c) be the third derivative of -c**5\/20 + 44*c**2. Calculate j(y(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1\/858 + 27463\/6006. Let s be (1405\/10)\/((-3)\/9). Let m = s - -7481\/18. Find the common denominator of v and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14524.6823 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 2*o**2 - 1040*o + 6168 = 0.\nAnswer: 6, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a**3 + 11*a**2 - 15*a - 7. Suppose 261 = 3*i - 345. What is the remainder when i is divided by j(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -163*u. Let g(j) be the first derivative of j**2 + 757. What is g(t(c))?\nAnswer: -326*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 2 + 1 - 8 + 2 - 3*q. Give a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - 3. Let m(h) = h**2 - h - 2. Let j be m(0). What are the prime factors of 2 + 2 + (o - j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = -h + 36, -5*h + 2*p - 6*p + 260 = 0. Let x = h - 20. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -14 - -20063247?\nAnswer: 20063233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 97277 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = 6*n + 9, 0 = -198*s + 194*s - 4*n - 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 38 + -20. What is the highest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.330541 weeks in minutes?\nAnswer: 94051.85328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000081346 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5241555 and 1485?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 78.907 + 0.093. Let y = -80.35 + u. Round y to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:25 AM and 1:38 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 80907750667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 - 5*x + 4. Let c be d(4). Let r be (-10)\/(-25) - (2 - (-407)\/5). Let j = -79 - r. Solve c = p - j + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2.6 - 0.88. Let o = x + 0.28. Is 1\/19 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 511 and 28551194.827.\nAnswer: 28551705.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/3 - (-2 + 14\/6). Suppose 3*p - p - 726 = s. List the prime factors of ((-12)\/(-42))\/(-1) + p\/21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 0. Suppose -4*k + 100 = -4*q, -n*k + 5*q - 22 = -4*k. Sort 2, k, -5.\nAnswer: -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 16 + 1458702\/(-97272))\/((-3)\/(-8))?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7695464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 7:47 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-9) - (-325)\/117. Suppose 0 = -x + l*x - 8. Suppose 2*v + 5 = -x*z - 3, -2*v = 2*z + 4. Solve v = -d + 5*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 - 1)*(-38 - 48 + 3)*(w**3 + 1 - 1).\nAnswer: 166*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*6\/2*13\/(-91)*-1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 283, 877, 1797, 3049, 4639?\nAnswer: 6573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 0 = -8. Suppose -3*o + v = -4*l, -3*o + 1 = 2*l - 15. Let s = 155 + -152. Solve -s = -o*r + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1273075*5\nAnswer: -6365375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 515510 (base 12) in base 4?\nAnswer: 10313012130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000044563 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12807737.\nAnswer: 12807737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 13791841197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 3, 5, -5, -4 in increasing order.\nAnswer: -9, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 15*t**2 - 4*t**2 - 7*t**2 + 25 + 25*t. What is the hundreds digit of f(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the second derivative of y**5\/60 - 2*y**3\/3 + 3*y**2 + 4*y. Let p(z) be the second derivative of g(z). Let t(i) = i. Give -3*p(a) + 3*t(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 2 = 5*q, -2*q - q = -3. Suppose 17 = y*k - k - 3*u, 4*u + 18 = 2*k. Calculate the greatest common divisor of 21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 26*d**2 - d - 3*d**2 + 8*d**2 to f + g*d**2 + w*d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 2447 divide 14684175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 24169594979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p + 5*r - 5, -5*p + 5 = -2*r + 1. Factor -9*n**p + 2 - 44*n + 11*n**2 + 38 + 2*n**2.\nAnswer: 4*(n - 10)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.16000043 + -0.16. What is x rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.07 times -3\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 2*j - 5 + 13 = 0, -c - 3 = 5*j. Suppose -24 = -0*q - c*q. Suppose -10 = -5*b - 0. Solve -19 = 4*a - u + 2, b*u - q = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 127 = -3*c, 3*c + 7*x = 4*x + 123. Let p(s) = -s + 20. Calculate the remainder when c is divided by p(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -352 divided by 5\nAnswer: -352\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 5*w**3 - 2*w**2 - w + 2. Let t be k(1). Solve 19 = -t*d - 3*j - 2*j, 4*d - 2*j = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 158 + -146 + 181 + -110.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 0 + sqrt(24)\/sqrt(8) + -1 - ((sqrt(192) - (0 + sqrt(192))) + 4)*2.\nAnswer: -12 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - -5. Let w be (4 - (2 + 0)) + -2. Suppose w = j*a - 15 - 6. Calculate the least common multiple of 1 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 197 - 118. Let l = s - 235\/3. Sort 1, l, 2\/9.\nAnswer: 2\/9, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 2 = p, -5*p - 3*d = d + 37 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*m**3 + 10*m**3 + 20*m**3 + 2*m**3 - 7*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 28985 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 6505 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1026801066?\nAnswer: 2, 3, 97, 1764263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -121*g - 12. Let f be (-21)\/9*3 + -6. Is h(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 2*((-3 + (-2*sqrt(176) - sqrt(176)))*1)**2 + 3 + 1 + 0 + 0.\nAnswer: 144*sqrt(11) + 3189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 170649 is divided by 720.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w**(-9)*w)\/((w\/(w*w**4*w))\/w))**(-7\/3)\/((w**(-2\/3))**(-10\/11)\/(((w**(-3)\/w)\/w)\/w**(2\/15))) assuming w is positive.\nAnswer: w**(-562\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.207856078 to 4 dps.\nAnswer: 0.2079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2335822 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -355*o + 1728 = -1772*o + 38570 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:22 AM and 2:46 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9350 is divided by 2287?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/968 and -61\/6292.\nAnswer: 12584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5490637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of -s**8\/1176 - 2*s**7\/735 + s**5\/105 + s**4\/84 + 7*s**2 - 13. Let z(y) be the second derivative of b(y). Factor z(d).\nAnswer: -2*d*(d - 1)*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 36710, 73418, 110126, 146834, 183542?\nAnswer: 220250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 314\/1413*(27 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -41*p + 14 + 218 - 69*p + 78*p + 10 to the form f + m*p and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111101110110000111 + 0?\nAnswer: -111101110110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 54 and 140510430?\nAnswer: 140510430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 - 1)*(0*o + 2*o + 0*o) + 2*o - 3*o + 0*o - 1 + 1 + 2*o - 3768 - 10*o + 3768.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -466712, -53, -5?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 - 2*s**2 - 5*s - 1. Let m(u) = -2*u**3 + 3*u**2 + 11*u + 1. Let x(f) = 5*k(f) + 2*m(f). Let c = 27 - 23. Let a be 133\/28 + 1\/c. Calculate x(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 20\/1391 and -4\/247.\nAnswer: 26429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 26, -0.1, 2 in descending order.\nAnswer: 26, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -14*c**4 - 15*c**4 + 2*c - c**3 - 10*c**4 + 27*c**4 - 6 as x*c + d*c**3 + p + q*c**2 + f*c**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 11:48 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express j**4 + 6*j**2 - 330*j**3 + 6*j - 8*j**2 + 332*j**3 in the form x*j**2 + v*j**3 + r + m*j**4 + s*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*r + 82 - 78 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u**4 - 3905 + 6*u + u**4 + 3930 + 2*u**2 to the form f*u**3 + d*u**2 + l*u**4 + k + o*u and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 75315 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.251 - 0.269. Let p = -0.11 - -0.658. Let l = u + p. Round l to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 11*h - 8*h + 210 = 0, -804 = -4*l + 3*h. Calculate the highest common factor of l and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32044 divided by -1015?\nAnswer: 32044\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + (32\/4 - 2). Suppose -9*n + m = -8*n. Suppose -141 + 15 = -2*j + n*f, -2*f - 114 = -2*j. List the prime factors of j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes after 3:15 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i be 43\/(3 + (-70)\/25). Let j = i - 185. Let q = 7 - -11. Calculate the remainder when j is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -84*r**3 - 91*r**3 + 770*r**4 + 109 - 770*r**4 - 2*r**5 - r**2 wrt r.\nAnswer: -120*r**2 - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3356039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1053) + 2)**2 + sqrt(1053) + -4.\nAnswer: 45*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 31976000 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 21 + 13 = 0. Solve 3*i = -b*f + 4*f + 8, i + 4*f = -16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-152)\/380 - ((-112)\/(-45))\/(-4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12082.9 rounded to the nearest 100?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-54)*-15*-2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-20)\/(-2)*5\/2. Let z = 38 - f. What is the remainder when z is divided by 3*3*(-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 + 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 + 5)\/((-6)\/(-4)). Let o = 4 - g. What is the third derivative of a**2 - 4*a**3 + 5*a**3 - o*a**3 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 234*p - 176*p + 228*p + 10010 = 0 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7946835 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 + 10. Suppose -6*n - 3*t = -5*n + p, 0 = 3*n - 5*t - 19. Let o(s) = 2*s**2 + 11*s. Let g(c) = -4*c**2 - 23*c. Calculate n*g(x) - 5*o(x).\nAnswer: -2*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u - 5*j - 11 - 7, -5*j = -3*u + 22. Suppose 3*m - u + 4 = 0. Solve m = -k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 138898657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 32216399 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1683185644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1170)\/65)\/(30\/20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 165586 by 39.\nAnswer: 165586\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m**3 + 254*m**2 + 774*m + 7. What is b(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aoyaaaoosoooooas. Give prob of sequence ya.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -71325365 divided by 5\nAnswer: -14265073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -11*g**3 + 8*g**2 - 9*g - 13. Let i(d) = -5*d**3 + 4*d**2 - 4*d - 6. Let k(l) = -13*i(l) + 6*m(l). What is the units digit of k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 983 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111011 - 110001011010101?\nAnswer: -110001010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(-3\/2))\/(j\/(j**(-1\/4)*j)))\/(j*j**0*j)**(-25) assuming j is positive.\nAnswer: j**(197\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 558 - -109. Let g = z + -152. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 194, 768, 1720, 3050, 4758, 6844, 9308?\n\"Answer: 189*o**2 + 7*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -2*k + 5. Let b = 5 - 11. Let j(f) = -2*f + 6. Give b*g(n) + 5*j(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6284 (base 11) in base 5?\nAnswer: 231240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 143 - 59. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -2531 (base 7) to base 3\nAnswer: -1022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*z + 90, -18 = -k - 38*z + 35*z + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 1 - 18\/(-9))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-126)\/(-32)*3416\/7686. Let q(m) be the second derivative of p*m**3 - 2*m - 5\/16*m**4 - 3*m**2 + 0. Find x, given that q(x) = 0.\nAnswer: 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.006? (a) 2\/79 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -26.2 + 26.6. Let s = 0.1 - -2.9. Which is the nearest to -0.02? (a) 4 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -531 - -534. Let y = 180 + -176. Which is the closest to 0? (a) y (b) 0.4 (c) 5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k + 3 + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 455570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 + 54. Let q(j) = 8*j - h*j + 16*j + 4*j. Let i(n) = -3*n. Calculate i(q(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3\/5, 2\/21, 4871.9 in decreasing order.\nAnswer: 4871.9, 4, 2\/21, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 - -22. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43 + 40. Let y = 7.634 + -4.634. Which is the closest to -2\/5? (a) r (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 2547.\nAnswer: -7641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 + 7 - 5) + -2 + (-8 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(5\/2))\/(t\/(t\/(t\/(t*t**(-1\/2)))))*(t**0)**28)**36 assuming t is positive.\nAnswer: t**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -569*c*i**3 - 2*i**3 - 56*i**2 wrt c.\nAnswer: -569*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 27057530 to the nearest 100000.\nAnswer: 27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l - 6 + 42. Let t be (8\/14)\/(l\/42). Solve 0 = 2*n - 5*u - 10, 3*u - t + 14 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-2\/9))**(-4\/9)*u**(1\/2)*u\/(u*u\/u**(2\/9)))\/((u\/(u**(-2)*u*u))**(2\/97))**(-13) assuming u is positive.\nAnswer: u**(-5585\/15714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 4*x**2 - x - 3. What is j(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*t**3 + 3*t**4 + 5 - 4*t**4 - t + t - 2*t**2 to j*t**3 + y*t**4 + b*t**2 + g*t + r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in -0.04, -0.5, 3\/2, 2\/391, 2\/15, 1.9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 396 - 406. Find the common denominator of -6\/37 and -1 - 3\/j*(-4360)\/72.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 AM and 9:19 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, j: 5, t: 5}. What is prob of sequence ttjt?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 387897751 - 387897510.000557. Let q = 241 - k. What is q rounded to five decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14939 + 26089. Suppose -2*p + 3*o - 7445 = 8*o, -4*o = 3*p + y. Let x = 710 + p. Round x to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 1.170104 years?\nAnswer: 0.01170104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c - 89 = 5*w, 42 = -62368*w + 62365*w - 5*c for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1040886?\nAnswer: 2, 3, 7, 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -68 + (181 - -45) + -100.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c - 8. Let n be d(-6). Let x be (n\/8)\/((-2)\/(-8)). Let k = -10.53 - -10.03. What is the second biggest value in x, 3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4526, 4547, 4594, 4679, 4814, 5011, 5282, 5639?\nAnswer: 6094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/4*2 - 0. Suppose h + 0*m = 4*m - 72, 199 = -2*h - 3*m. Let w be h\/(-44) - (-1 + 3). Which is the nearest to g? (a) 4 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + -1 + sqrt(275) - (sqrt(275) + sqrt(275) + 0 + sqrt(275) + 0)) + 2*sqrt(275) + 4 + (-1 + 1 + sqrt(275) - sqrt(275)))**2 + 4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 449131 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of -l**3\/6 - l**2 - 2*l. Let m be c(-6). Suppose 5*b + 1 = m*b. Is b <= -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88\/6*(1749\/(-44) - -40)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ocgc when four letters picked without replacement from ohscscgchccccs.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = -19*n - 7*n - 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = 2*f + 5*q, -26*q = 4*f - 31*q - 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3374 - 3374.02834. What is c rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 31*c - 1348. Determine w(72).\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*m**3 + 37*m**3 - 20*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10250 - -16751. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + p - 1091497 = 0, 4*p - 436588 = 16*l - 18*l. What is l rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1862381019 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -33*r - 36*r**2 + 33*r as j + x*r**2 + w*r and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -30 + 302. Let m be 1\/(-8) + 306\/x. Sort 3, 4, 12, m in ascending order.\nAnswer: m, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 171 is divided by 130.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1003.453 rounded to the nearest 10?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*n + 2\/5*n**2 + 0.\nAnswer: 2*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 0*k = 5. Let u = 27 - k. Suppose 2*j - 3*d - 55 = -u, -2*d = -j + 15. Round j to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l + 3*l - 3*l)*(2 - 1 - 5)*(0 + 4 - 2).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 33 and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**3 + 6*d**2 + 3*d. Let n(g) = -g**3 - 5*g**2 - 2*g + 1. Suppose 12*j - 28 = -2*j. Let m(c) = j*v(c) + 3*n(c). Determine m(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 5, 4, -3 in decreasing order.\nAnswer: 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**4\/4 - 6613*o**3\/4 - 145839*o**2\/4 - 869075*o\/4 - 364925\/2 = 0.\nAnswer: -11, -10, -1, 6635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2756 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f**3\/4 + 313*f**2\/4 - 3869*f + 31115 = 0. Calculate f.\nAnswer: 10, 49, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, f: 6, w: 2}. Give prob of picking 2 w and 2 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -277 - -277.000008005. Round p to seven dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3 + -1)*-1 - -11. Does 6 divide 1\/(i\/(-6))*-15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 229790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 285321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3\/(-2))\/(4\/(-408)). Let j = x + -465. Let t = j + 1305\/4. Find the common denominator of -32 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69476708 a multiple of 641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes before 1:51 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4248853 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 + -4. What is the second derivative of -q*o**3 + 3*o + 4*o**3 + 3*o**3 wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 2 j when four letters picked without replacement from oouojgjoug?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -34 < 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in -92, -2\/11, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 189 and 865674?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 104574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 2*d = 7*d + 1, 0 = 5*j - 5*d - 10. Let c(v) = 2*v. Calculate the least common multiple of 3 and c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 175914670 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -25234519222\/91 - -277299672. Let f = -2737 - l. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 696 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1b (base 14) to base 3.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 82.33 + -82. Let n = o - 16.33. Let q = -16.000055 - n. What is q rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -6*o + 35. Let k be m(5). Solve 4*z = -k*r - 0*r + 7, 8 = 4*z + 4*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20*q - 3 - 6*q - 22*q - 6*q**2 - 4*q**2 to the form d + u*q**2 + v*q and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2819 + 3618. What is the least common multiple of 9 and d?\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -3*i + 14, 0*q - 3*q - 12 = -3*i. Calculate the remainder when (-11)\/(-3) - 3\/(-9) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -110036*y**2 - 441*y**3 + 110036*y**2.\nAnswer: -441*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 148816\/112 - 2\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1997a7a - -4?\nAnswer: -1997a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the second derivative of 2*x + 0 - 1\/12*x**4 + 0*x**3 + 13\/2*x**2. Let y(m) be the first derivative of u(m). Let k(v) = 12*v**2. Determine y(k(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1477, 379, -1451, -4013, -7307, -11333?\nAnswer: -16091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1668 and 16294692?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 86 and 24.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-53015)\/(-5532)*10\/575.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9)\/6*1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.452 and -1?\nAnswer: 0.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*b + 188 = 104 - 96 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 14, -4, -53 in decreasing order.\nAnswer: 14, 1, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 165632 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 396 and 5379.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 + -5. Let y = -17 + 6. Let t = q + y. Is 2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 2 - 1. Let x = -0.27 + -0.03. What is the closest to n in x, -2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -21, -59, -131, -243, -401, -611?\n\"Answer: -r**3 - 11*r**2 + 2*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-14)\/(-3) - 7\/21*-4. Solve 2 = s - 3*k, -2*s + s - k = a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 (base 13) to base 10\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 8 + (-1 - 5 - (47 + -47))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12154139.\nAnswer: 31, 392069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.3 and -142576863003.1.\nAnswer: -142576863003.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 5*s**2 - 8*s - 1. Let a be o(-4). What is the units digit of (6\/(-18))\/((-1)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3884897 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 56560789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.69 + 0.12. Let j = h + 0.57. What is the closest to j in -3, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4768?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1290 = 5*a + 4*l, -2*a + 2*l + 133 + 383 = 0. Let w = 260 - a. Solve -2 = -4*v + t - 19, -w*t = -3*v - 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2334133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -131, -2\/5, 0.043027.\nAnswer: -131, -2\/5, 0.043027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of -38\/3*j**3 + 361*j**2 + 1\/6*j**4 - 9 + 3*j. Suppose o(r) = 0. Calculate r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28854153?\nAnswer: 3, 67, 109, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**3 + u**2 + u. Let i(m) be the first derivative of -2*m + 0*m**3 + m**2 + 1\/4*m**4 - 10. Determine -i(p) + 2*n(p).\nAnswer: p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 6022 + 5228. Let c be (y\/3)\/((-18)\/(-25152)). Round c to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 3*v. Suppose -12 - 9 = -3*o. Let b(g) = -2*g**2 + o*g**2 + 0*g**2. Determine b(w(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18599, -37598, -56601, -75608, -94619, -113634, -132653?\nAnswer: -151676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 13*m**2 - 9*m - 9. Let t be (-26)\/7 - (-2)\/(-7). Let w(x) = -3*x**2 + 2*x + 2. Let r be 9\/(13\/(-104)*4). Calculate r*w(f) + t*n(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -28 + 17. Let h = 17 + t. Solve 7*r = 3*p + 2*r - h, -2 = -p + 2*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17761, -35533, -53321, -71131, -88969, -106841?\nAnswer: -124753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 554049843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - -4. Let k(u) = 7*u**2 - 5. Let j(o) = -o**2 + 2*o + 13. Let h be j(4). Let f(c) = -4*c**2 + 3. What is h*f(m) + n*k(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79297791?\nAnswer: 3, 97, 379, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**2 - b - 1. Let s(c) = -5*c**2 - 75*c - 281. Let n be s(-7). Let y(w) = -2*w**2 + w - 1. What is n*y(z) - j(z)?\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -15*a + 303. Let b be d(20). Suppose 3\/5*q**5 - 6*q**2 + b*q - 3\/5 - 3*q**4 + 6*q**3 = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of 3*v**2 + 11*v + 4. Let o be ((-16)\/12)\/((-4)\/18). Let n be (6\/(-4))\/(o\/12). Let a(p) = -2*p - 4. What is n*h(d) - 8*a(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*n**4\/7 + 22*n**3\/7 - 24*n**2\/7.\nAnswer: 2*n**2*(n - 1)*(n + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16 - -49. Let t = 33 - r. Is t bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**4\/z)\/z**(1\/6))**(39\/5)\/((((z**(-1\/2)*z*z)\/z)\/z*z*z)\/z**(-1))**(4\/7) assuming z is positive.\nAnswer: z**(1447\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of 4*m**3 + 7*m**2\/2 + 4*m + 61. Let i be (-84)\/22 + 6\/(-33). Let j be o(i). Calculate the greatest common divisor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*n - 5*s - 128 - 140 = 184, 0 = -2*n - 5*s - 147 for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the third derivative of f**7\/11340 - f**6\/3240 - f**5\/270 - f**4\/4 + 7*f**2. Let w(r) be the second derivative of p(r). Find b, given that w(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(684) - -2*sqrt(684))*1*-1)**2 + ((-3*sqrt(684)*1 - sqrt(684)) + -3)**2 + -3.\nAnswer: 144*sqrt(19) + 17106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -461, -3729, -12567, -29759, -58089, -100341?\n\"Answer: -464*f**3 - f**2 - 17*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32630 divided by -16315.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be 25\/(-10)*(9 - (-8 + 16)). What is the nearest to 2 in f, -2, 5\/3, 0?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 107829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -30843 + 30842.9874473. What is n rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.350472835 and -0.702?\nAnswer: 0.351527165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-11) - 39\/33. Let o = 7591\/570 - 54\/5. Let n = -1\/57 + o. Which is the smallest value? (a) w (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 706956109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*g - 19*u + 38*u - 180 = 23*u, 18 = 5*g - 4*u + 2*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -2*w**4 + w + 0*w + 6*w**2 + 5*w**2 - 25*w**3 + w - 13*w**2 as n + p*w**3 + g*w**4 + m*w**2 + r*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*k = 26*k - 68*k + 144 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 1287379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 354 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**2 + 5*q + 13. Let x be j(6). Suppose x*l - 16 = -184. Is (0 + 14)*l\/(-28) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1614421 + -12?\nAnswer: 1614407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 5 (c) -10\/19 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 66 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/1327001 and 54\/1327001.\nAnswer: 1327001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 918615 is divided by 421?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2293817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 729*d**2 - 140*d**2 - d + 1631*d**2 + 292*d**2 + d.\nAnswer: 2512*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the first derivative of -h**4\/4 + 2*h**3\/3 - 2. Let o(z) = 6*z**3 - 11*z**2. Let f(l) = 2*l - 28. Let x be f(13). Determine x*o(m) - 11*s(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 5*t - 3*t + 11*t + 2*t as c*t + q and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2962 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0, 1.2, 3\/11, -4, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 20327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 7*h + 879 = -10*h, 1148 = 4*m + 4*h. Let a = -198 + m. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1101001011001100 (base 2) in base 3?\nAnswer: -2202000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 374 + -139. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/3 + (-4)\/6. Let d be (z - -36) + -5 + 1. Let x = -28 + d. Solve -4*w + x = 0, -y + 3*y = 5*w - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r - 2*r + 4*r)*(-152*r - 72*r + 63*r)*(r + 1 - 1).\nAnswer: -322*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/6*9\/(-1). Find the third derivative of -w**2 + 4*w**6 - w**6 - w**n wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = 55*m - 56*m - 7, 2*i = -4*m + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**2 + 104*j - 2749. Calculate a(57).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6819477 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d - 2. Let t(w) = -w. Let l(n) = q(n) + 2*t(n). Let z be l(-7). Suppose -z = 2*r - 3. Which is the biggest value? (a) 3 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 32*j = -30*j + 94, -2*j + 2 = 0. Solve -9*l - i = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 34 and 32.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1457 + a1a?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4480, -4425, -4334, -4207?\nAnswer: -4044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*v + 15 - 33 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 2*sqrt(171)*5)**2.\nAnswer: 180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-44)\/(-2)*111\/(-222).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -51 + 203\/4. Let k = 1.1 + -1. Which is the nearest to -0.1? (a) -4 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r - 2*r - 6. Let b be -4*(-78)\/(r - 1). Let t = 53 - b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 13051 to the nearest one hundred.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5770, 11346, 16908, 22450, 27966?\nAnswer: 33450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(24)\/sqrt(3))**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from wwwuuuw.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -i**2\/3 - 6058*i - 54495 = 0 for i.\nAnswer: -18165, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18271858*a*i**3 - 3*a*i**2 - 2468529*a*i - i**2 wrt i?\nAnswer: -109631148*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 354 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2*z**3 - 9*z**2 + 12. Let x be j(6). Suppose 4*n - i - 9 = -2*i, 4*n - 3*i = 5. Suppose -n*o = 4 - x. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 12\/2 - 2 - -86. Let r be (y\/(-12) - -7)\/((-3)\/2). Let b be (-31)\/3 + (-4)\/6. What is the nearest to 1 in b, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000021 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22 + 27. Solve 0 = 5*w + u*t + 30, -2*w + 0*w - 3*t = 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1e3d996 - 3?\nAnswer: -1e3d999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 15*o - 11. Let i(f) = -f**2 - 13*f - 53. Let z be i(-7). Let b(p) = 5*p - 4. Give z*b(s) + 4*v(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 AM and 4:23 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5408274 is divided by 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1867 (base 9) in base 10?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkyyyy. Give prob of picking 1 y and 1 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 4\/1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**2\/n)**9*(n\/(n**(-4)*n))\/((n**(-4)\/n)\/n*n)*(n\/(n*n*n**1)*n**7)**(-38) assuming n is positive.\nAnswer: n**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 241907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that 2*j**2\/5 + 16046*j + 160452\/5 = 0.\nAnswer: -40113, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 - 11*z + 12. Suppose 2*v = -3*c + 29, -3*v - v + 2*c = -34. What is the least common multiple of 9 and w(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3057563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 56 + 70017771?\nAnswer: 70020047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*f - 10 + 10 - 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-2\/3)\/s)\/s*s*s**(3\/8)\/s)\/(s*s\/(s*s**1))**(-3\/10) assuming s is positive.\nAnswer: s**(-55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 10*b**2 + 45*b + 275. Let c be y(-6). Calculate the highest common factor of c and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(180)\/(sqrt(40)\/sqrt(4)) - (sqrt(18) - (-2*sqrt(288) + sqrt(288)))))\/((3*sqrt(432))\/sqrt(12)*-3).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/8 - 549\/(-36). Solve 2*h = o - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5910 divided by 2955?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2424870 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/5*15\/(-12)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 281180545861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 15 = z - 0*z, 5*z - 6 = 2*j. Suppose z = -4*a - 16, 2*i + 5*a + 14 = -i. Suppose 3*b - 9 = 0, -4*s - i*b = -3*s - 1223. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 327\/5 - 329\/5. Put 0, 18, w, 0.4 in increasing order.\nAnswer: w, 0, 0.4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.05 + 0.05. Let s = -2.4 - w. Let r = -0.5 + 0. Put r, s, 3\/5 in increasing order.\nAnswer: r, s, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1626874889 to the power of 1\/3, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add together 5 and 420917687.\nAnswer: 420917692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 373965 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -16*h**3 + 5*h**3 - 52*h + 768*h**2 + 13*h**3 + 1 + 60*h as t*h + j + d*h**2 + i*h**3 and give d.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -184, -181, -178, -175?\n\"Answer: 3*i - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 + -154512422?\nAnswer: -154512421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 34721 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 597296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i be 871 - -1 - (-6 + 12 + -10). Suppose -15*f = -3*f - i. Solve -f*z - 15 = -76*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 14093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u - 3*u + 2*u)*(842*u**4 + 1356*u**4 - 181*u**4).\nAnswer: -4034*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 72 + (-31 - (6 - (-15 + 18)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -1\/67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 133.3096 nanograms?\nAnswer: 0.0001333096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(2\/5) - 1. Suppose 3*v - 10 = -3*r + 2*r, -2*r = -2*v - 4. Find the second derivative of -2*p**r - 3*p**4 + m*p**4 + 0*p**4 - p wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5560180 is divided by 1953.\nAnswer: 1942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 15\/17 and -43\/2006?\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -71262.7 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -4*h - 33. Calculate a(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2 - -1. Let q be 12\/(-30) - 66\/(-15). Let f be (1 - 0)*3*-1. Sort y, f, q in descending order.\nAnswer: q, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -1*-5*((4*(sqrt(425) - (sqrt(425) + sqrt(425) + 0)))**2 - sqrt(425)).\nAnswer: -25*sqrt(17) + 34000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 611275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -69*j + 492. Calculate the lowest common multiple of (256\/20)\/((-4)\/(-30)) and r(7).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 376.7 + -357. Let v = m - 21. Let j = -1.2 - v. Which is the second smallest value? (a) -4 (b) j (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2 + 3*h - 2. Let i be r(-3). Let k be 0*(i + 5\/2). Suppose 4*m - 28 = -k*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g - 2*g**3 + 2*g + (g**2 - g**2 + 3*g**2)*(-2*g + 7*g - g) + (-5*g**3 + 0*g**3 - 2*g**3)*(-7 - 1 + 5).\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 12037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 18337 < 18469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-27\/5))\/(a\/a**14))\/(a**(-1\/5)\/a**(2\/15)) assuming a is positive.\nAnswer: a**(296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 + 7. Let w(g) = -11*g. What is the remainder when w(j) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from ezzezrezz.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43343.\nAnswer: 89, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 320*y - 10. Let g be w(8). Let b = -20427\/8 + g. Calculate the common denominator of b and -1 + 165\/18 + 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1744.77 - 319853419\nAnswer: -319855163.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 15\/262 and 33\/4.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -62?\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 4 = 3*b, 2*b - 18 + 8 = -5*c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h, 1 s, and 1 q when four letters picked without replacement from hhhyhhssq?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 21*l = -22*l - 289, 4*l - 158 = d. Which is smaller: -440\/3 or d?\nAnswer: -440\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -287*t - 2 + 5 + 74*t - 4 - 146*t as p + r*t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/390 and 1\/375759?\nAnswer: 48848670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1040692 to the power of 1\/2, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -834 - 3126?\nAnswer: -4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/(6\/1) + (-162)\/(-4). Suppose -4*d + 77 = -r, -r = -1 - 2. Calculate the highest common factor of v and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -258*x + 10 = -253*x. Suppose 0*d = 4*d - 20. Suppose 80 = -2*w - d*b + 831, -x*b + 1867 = 5*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -36791043 divided by -12263681\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -271*l + l**2 + 0*l**2 + 356 - 457*l.\nAnswer: l**2 - 728*l + 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/513216 and 113\/3520.\nAnswer: 2566080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {s: 4, d: 6, u: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**2. Let h(i) be the second derivative of -3*i**2 - 2*i - 2*i**2 - 6*i**3 + 4*i**3 + 9*i**3 - 203 + 4*i**2. Calculate h(p(a)).\nAnswer: -42*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 - 3*u**2 + 2*u + 2. Let d be -13*(0 + 0 - 2). Suppose 3*b + d = -5*x, x - 2 = b - 4. Is 6 a factor of j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jmjjmjjjjsjjjj. What is prob of picking 3 m and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 844, 1686, 2528, 3370, 4212?\n\"Answer: 842*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*y + 0 + 1 - 2*y + 2*y to the form f*y + a and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 168981479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -35050 * 54\nAnswer: -1892700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1 + ((-24)\/6 - -2337)?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 AM and 8:06 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3 - -25. Let p be -1*4 - (-3 - -22). Let x = p + d. Solve 2*z + c + 2 = -3, x = 5*z - c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g + 10. Let n be i(7). Let b be 2 + (-7)\/(14\/(-8)). Find the first derivative of -b + v + n*v + 1 + 0*v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/10 and -5\/251.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = 4*l, -11 = -5*l - 5*x + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 + 30*w**2 + 29*w + 8. Let s be t(31). Let h(f) = 45*f**3 - 54*f**2. Let x(m) = m**3 - m**2. What is s*x(d) + h(d)?\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2 + (-8 - 4 - -21 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*y = -13*y + 78 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-y + 0*y - 3*y)*(-11 - 13 + 4)*(1 - 1 - 1)*(1 - 2 + 3) as x + z*y and give z.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*s**2\/5 + 225948*s\/5 + 1581832\/5.\nAnswer: -4*(s - 56494)*(s + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 15*w + 8 + 3 + 76*w. Let u be d(-5). Let t = -109 - u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -3\/29 (b) -0.3 (c) -16 (d) 0.5 (e) -0.6 (f) -2 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -q**3 - 7806*q**2 + 7766*q**2 - 2*q + 2*q**3 as m*q + c + y*q**2 + r*q**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 218, 263, 308, 353?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*(6\/(-42))\/(16\/(-308)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -116047*v + 228. Let l(g) = -46419*g + 95. What is -12*l(c) + 5*x(c)?\nAnswer: -23207*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + 111)*1\/3. Let l = -23 + c. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (11\/5 + -3)\/(10\/25). Are t and 5\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1\/12 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 460 - 795. Let j = 335.00614 + p. What is j rounded to 4 dps?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 3*r + 30 = 0, 2*p - 16 = -202*r + 203*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/(-30))\/((23\/(1932\/(-96)))\/((-90)\/147))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -20, 3, 270, -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-40)\/(-2))\/(34\/(-17)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 224*k + 780. What is the thousands digit of u(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1387 less than -1388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -5 + (sqrt(300) + -5 + -3*sqrt(300) - ((-3*sqrt(300))**2 + -1)).\nAnswer: -2705 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 120 - 99. What is the highest common divisor of s and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 38 = -70. What is the remainder when (-667)\/(-3) - (-18)\/h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22194?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*(-3)\/(-48)*(-18)\/(-24).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - 1. Let x = 3016.9 - 3017. What is the nearest to p in -2, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j + 12. Let k be b(9). Let y be 1*(-2)\/((-4)\/10). Suppose 0 = -3*i - k - 9, 35 = y*d + 5*i. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*d*j*w - 14*d*w + 6*d - 643*j**4*w - 3*j*w - 19 with respect to j.\nAnswer: 7*d*w - 2572*j**3*w - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 49.5 - 143. Let i = 93 + d. Let g be ((-4)\/240)\/(2\/5). Which is the second biggest value? (a) g (b) i (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 158630088, 317260182, 475890274, 634520364, 793150452?\n\"Answer: -a**2 + 158630097*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 60724 and 228?\nAnswer: 182172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -100011011000110 (base 2) in base 16?\nAnswer: -46c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24350007, -48700136, -73050253, -97400352, -121750427?\nAnswer: -146100472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 68*l**4 + 33 + 64*l**2 + 62*l**2 - 126*l**2 wrt l?\nAnswer: 272*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 6*r + 68. Let b be f(-11). Suppose -3*t + 6149 = b*z, -2*t + 2*z + 4092 = 7*z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 15\/4 of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-8)*12*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 489788, 489896, 490016, 490148, 490292, 490448?\nAnswer: 490616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21.9 - -7. Let q = 16.43 + n. Round q to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-491 + 20*c + 491)*((-6 + 1 + 0)*(0 + 2 - 1) - 3 + 5 - 3)*(-3 + 3 + 1).\nAnswer: -120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1023\/(-22)*26\/39?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2*u**3 - 2*u**2 - 4*u + 24. Let w(g) = -2*g**3 - 2*g**2 - 3*g + 25. Give -3*i(n) + 4*w(n).\nAnswer: -2*n**3 - 2*n**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2 + 181794*f + 545355.\nAnswer: 3*(f + 3)*(f + 60595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of -19\/540*z**6 - 3*z**4 + 0 + 0*z + 8*z**3 - 10*z**2 + 1\/945*z**7 + 7\/15*z**5. Factor k(l).\nAnswer: 2*(l - 6)**3*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 220*v - 13243. Give u(60).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*a + 21*a + 12. Let n be a*-7*(-2)\/(-6). Suppose -t = -4*k - 12, n*k - 24 = -2*t + 2*k. Calculate the least common multiple of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/(12\/(-28))*3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 13) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.023584 + 0.089302. Let c = 2.523 - 2.41. Let b = c - z. What is b rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1946\/5 - -21546\/55. Suppose -2*j - 26 = -3*m + 56, -54 = 2*j + 4*m. Calculate the common denominator of (-1 + -4)*(-4)\/j and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -3*v**2 - 117*v + 244. Let y be x(-41). Suppose s - 3*q = 4 + 11, 25 = -4*s - 5*q. Put 2, y, -1, s in descending order.\nAnswer: 2, s, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 71 + -59 - (1 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 times -538\nAnswer: -3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -13936.869 rounded to the nearest 100?\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7280 - 7196. What is the highest common factor of t and 1204?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 841294834.\nAnswer: 2, 163, 2580659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(29\/4)*v)**(-7\/6)\/(v\/(v**(2\/11)\/v)*v*v*v\/(v*(v\/(v\/(v*v*v\/(v\/(v\/v**(-31)))))*v)\/v)*v) assuming v is positive.\nAnswer: v**(1721\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-8) + (-34185)\/(-172). Let n = 194 - m. Sort n, -2, 4, 7 in ascending order.\nAnswer: n, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 80133 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 492\/3 + -6 + 8. Is n < 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-38)\/19 + (-7 + 4 - -36). Let b(p) = -p**2 + 51*p - 18*p - o*p - p**2 + 2. Let u be (0\/(-2) - -4)*1. What is b(u)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 6, b: 11, c: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1))**1\/(h**(-1))**8 assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 + 29*n + 40. Calculate u(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.048797 - -0.04911643. Round b to 6 dps.\nAnswer: 0.000319","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 1\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 36851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -a42 (base 11) to base 8\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (-3 - -6) + (-3 - -11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add 2 and 0.0095.\nAnswer: 2.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/4)\/(42*22\/1540*(-20)\/696).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -8 - 4*y + 6*y - 121 - 2*y**2 in the form c*y**2 + v*y + x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -85, 1\/22, 1\/3, -2\/11, 32\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of -h**5\/10 - h**4\/6 + 5*h**3\/6 + h**2 + 5*h. Let s be x(4). Find the common denominator of (-4 + s\/(-22))\/1 and 91\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -463*17.\nAnswer: -7871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 17*k + 209. What is f(-15)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 1 = -19. Let c = 36 - o. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-1022)\/9*-33)\/((-6)\/(-9)). What is the greatest common divisor of v and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 144111\/4 or 36027?\nAnswer: 144111\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-9*n**3 - 4*n**3 + 3*n**3)*(8275*n - 79 + 24 + 27 - 2213*n + 28) in the form p*n**4 + c*n**2 + k*n + x + t*n**3 and give p.\nAnswer: -60620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-139 - -141)*(4 + -12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 3*a - 1 + a - 6 + 7*a. Suppose -b = 5*h - 18, -4*h - h = 2*b - 11. Let u(p) = -16*p + 10. Calculate b*g(d) - 5*u(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4277 is divided by 112?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5183*n**4 - 67230.\nAnswer: -20732*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -19*o - 10. Let i(n) = -96*n - 51. What is -4*i(v) + 21*x(v)?\nAnswer: -15*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -244281029*v**4 - 3*v**2 + 687909433*v?\nAnswer: -2931372348*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddrsc. What is prob of picking 1 c, 1 r, and 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/188207 and -39\/55355.\nAnswer: 941035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor w**2\/4 + 17277*w\/4 - 377667.\nAnswer: (w - 87)*(w + 17364)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eeez when four letters picked without replacement from zzezzeezzeezzeze?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 + 4*z. Let q be g(-4). Suppose q = 3*t - 4 - 2. Let d(r) = -r**3 - 4*r**2 - 2*r - 1. Calculate the remainder when d(-4) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 69233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9 + 12. Let s be (-135)\/36 + 4 + 0 + 66\/(-88). Which is the nearest to s? (a) p (b) -1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9526455?\nAnswer: 3, 5, 31, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.008 from -481078995.\nAnswer: -481078995.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138 = 11*b - 424. Let d(c) = 2*c + 12 + c + 3 - b - 4*c. Determine d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -3\/7 (c) 2 (d) -53 (e) -157\/4 (f) 19\/2 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 21534 + -21519. Let q be 27\/(-15) + 1\/(-5). Let l be (-2)\/((-28)\/(-15) + q). Is y at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 336, 519, 784, 1083, 1368?\n\"Answer: -8*d**3 + 89*d**2 - 28*d + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -129, -245, -349, -435, -497, -529, -525?\n\"Answer: j**3 - 123*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13215661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 67 + -40. Calculate the highest common factor of 216 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1263 divide 1517964336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/86904 and 11\/6.\nAnswer: 86904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 3*r - 8, -2*w = -r - 0*w + 4. Let s(h) = 1 + 6*h - 7 + h**r + 5 + 5. Let z be s(-4). Is z greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24 - 11422*s**3 + 22834*s**3 - 11562*s**3 + 24.\nAnswer: -150*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2384, 1902, 1420?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 2741*t**2. Let f(y) = -41*y**2. Calculate f(w(o)).\nAnswer: -308036321*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 83\/168 and -79\/22.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/1981 and -121\/10.\nAnswer: 19810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19992239 and 21239.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 2, 5 in descending order.\nAnswer: 7, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, z: 1, v: 2, m: 1, n: 2, l: 2}. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppq when three letters picked without replacement from qqqqqpqqqpppqqpiqppq.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 14 - (0 - (-9 + 4)) - (-23 + -9)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*c = 2*c - 879*j + 875*j - 14, -2*c - j - 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -348*d**3 - 3*d + 4*d**2 + 3*d + 346*d**3 as r + s*d**2 + l*d + t*d**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 2*v**3 - v**2 + 4*v. Let f(s) = 628*s**4 + 4*s**3 - s**2 + 8*s - 44. Let d(i) = f(i) - 2*t(i). What is the third derivative of d(q) wrt q?\nAnswer: 15072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - c = -79, 0*x - 3*c = 3*x - 57. Suppose 4*h - 33 = -2*m + 1, 2*h - x = -4*m. Solve o - 8 = -4*o + 2*u, 0 = -2*u - h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -37*c + 42*c - 25. Suppose -c*r + 4290 = 5*r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 27*s - 11051900. Let t = -49924 - s. What is t rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**0*d)\/d**29 assuming d is positive.\nAnswer: d**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 - 4*h**2 + 3*h + 7. Let i be y(-5). Put -2\/5, 1\/4, i, 3\/8 in descending order.\nAnswer: i, 3\/8, 1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*f = -122*u + 123*u + 4*f - 101, -2*u + 4*f = -82 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of -3*s - 1\/18*s**4 + 2\/9*s**3 + 0*s**2 + 0 - 1\/30*s**5. Suppose p(n) = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (116\/50)\/((-6)\/(-10)). Let p = o - 16\/5. Find n, given that 2\/3*n**2 + 0*n**3 - p*n**4 + 0 + 0*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 105936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w + 3*w - w. Let j(d) = d**3 - 16*d**2 + 28*d + 2. Let f be j(14). Let v(q) = -9*q + 11*q + 29*q**2 - f*q. Determine v(b(h)).\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:48 PM and 9:40 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 b when four letters picked without replacement from iirrqiviqirqirbvrrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 1 - 1)*(4*a - a - a) + 1 + 3 - 2 + 24*a + 94*a in the form l + x*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 58 - -7?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*z - 12 - 15*z + 6*z + 0*z - 2*z + 0*z - 1 + 2*z + 1 + 5*z - 2*z - 4*z + (1 + 4 - 3)*(-2*z + 5*z - z).\nAnswer: z - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 + 7*j**2 + 5*j - 1. Let t be n(-6). Suppose -t*z + 2*v - 40 = -100, 4*z = 4*v + 48. Calculate the remainder when z is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {p: 3, f: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -90*u + 18. Let z be i(-2). Let m = 407 - z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:06 AM and 3:05 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 93977 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -485 - -1905?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 9 (b) -65 (c) 14 (d) 1 (e) -0.4 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -12574000 rounded to the nearest one hundred thousand?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 9d6b8 (base 14) to base 4\nAnswer: 1131130202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26791, 52478, 78165, 103852, 129539, 155226?\nAnswer: 180913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ip when two letters picked without replacement from xbipiibipii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -121*j - 2171. Give v(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 171, 36, -12 in increasing order.\nAnswer: -12, 36, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, d: 2, r: 2, w: 3}. Give prob of picking 1 w and 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fnnnf. Give prob of sequence ffn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9923712571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -251 + 268. Suppose 2*j - z = j - k, 5*j - 5*k - 45 = 0. Solve v = 3*n - j, n - 4*v = v + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -117? (a) -1\/3 (b) 4 (c) -5 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.030768808 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/(-7488)*24)\/(27\/(-24))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ad when two letters picked without replacement from iibbdab?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -30839 times -0.3?\nAnswer: 9251.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 286223, 572447, 858669, 1144889, 1431107, 1717323, 2003537?\n\"Answer: -u**2 + 286227*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 833055 a multiple of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**2 + 6*v - 4. Let c(p) = -p**2 + 3*p + 16. Let d be (-2)\/5*225\/(-18). Let b be c(d). Determine o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -48, -87, -140, -201, -264?\n\"Answer: f**3 - 13*f**2 - 7*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -169.58 - -171. Let b = 15.68 + -16. Let s = b + l. What is s rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -55.7 * -20\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.2 + -0.1. Let r be 129\/131 + 2\/(-2). Let a = -248\/917 + r. What is the third biggest value in m, 1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -7*k**2 - k + 3*k + 4*k - 1. Suppose 2*v - 84 - 110 = 4*m, -3*v + 241 = 4*m. Let b = v - 94. Let i(c) = 8*c**2 - 7*c + 1. Calculate b*o(q) - 6*i(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.1685 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82075.\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*u - 26*u - 49 = -97*u + 40*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2*a - 3 = 3*o, 9 = 5*o - 3*a. Let n(g) = 2*g**2 - g + 4. Let m be n(-4). Suppose 4*h + h - m = o. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3552464*s**2 + 4045225 wrt s.\nAnswer: -7104928*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-14)\/21)\/(4\/42). Let r = d - -9. Suppose 2 = -f + 4*i, 43 = r*f - f + 5*i. What is the smallest common multiple of f and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46675 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from xxsvw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*f - 20*f - 27 = 0. Solve -u = -r - 4*u - f, 3 = -u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = -9496*l + 9501*l + 4*w + 56, -3*l = -5*w + 17 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 4 + 2)*(-2*c**3 + 2*c**3 + 2*c**4) + (-2 + 1 + 2*c**3 + 3)*(2*c + 0*c + 0*c) in the form a + k*c**3 + f*c + j*c**2 + h*c**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 24*r**2 - 2*r - 2. Let w be q(-1). Let y be (2\/(w\/44))\/((-2)\/(-18)). Let p = y + -29. Solve p = -g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 8 - 2*y + 5*y**2 - y**2 + 8*y - 3*y**2. Give x(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 240743 and 11279.9?\nAnswer: 229463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84257 is divided by 4002.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13960 - -14015.6. What is the second smallest value in -5\/3, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - l - 202 = -2*l, -2*k + 104 = -l. Calculate the remainder when 150 is divided by k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 24 + 121 + -113 - -26\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 31 + 19 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -569.9 + 570. What is the closest to -3 in -3.2, 0.4, g, -1\/2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -10*h + 2. Suppose 0 = x - 33*b + 29*b - 5, x = -3*b - 2. Let o be l(x). Are o and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -74216 by -8.\nAnswer: 9277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 909*t - 26718 = 10551 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - 130200500?\nAnswer: -130200464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43537 is divided by 354.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1127 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8845 - -8242. Which is the third biggest value? (a) i (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -110 - 16. Calculate the common denominator of (-4 + 4 - 3)\/(l\/264) and 52\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -10*o**5 + 85*o**4 - 105*o**3 - 5*o**2 + 35*o = 0.\nAnswer: -1\/2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - p**2 + 1. Let j = 3 + -2. Let l(i) = -6*i**3 - i**2 - 7*i + 7. Let q(k) = -k**3 - k + 1. Let s(m) = l(m) - 5*q(m). What is j*s(v) - z(v)?\nAnswer: -2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 10, 3, -1 in increasing order.\nAnswer: -5, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 60247730 to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 558363813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 8:48 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 15916885 rounded to the nearest one thousand?\nAnswer: 15917000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -2*o**3\/9 - 1358*o**2 + 119628*o - 1239600 = 0.\nAnswer: -6198, 12, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -6044*n**2 - 6760*n - 716 = 0.\nAnswer: -1, -179\/1511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7 + -6 - 188\/936*15 and 67\/130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2.8 - 3. Let m be (-14)\/30 - 4*(-1)\/6. Let h = 36 - 36.4. Sort m, y, h.\nAnswer: h, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2440 (base 9) in base 15?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 4\/3 (b) -353 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 PM and 8:56 PM?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 - -0.03973954558327.\nAnswer: 0.43973954558327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3510 - 5805 - 5075 = 508*s + 162*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 + -1)*12\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2027845 and 2838983?\nAnswer: 14194915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 32 + -17. What is the highest common factor of z and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3666, 1060, -1542, -4140?\nAnswer: -6734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * 6200.536.\nAnswer: 620.0536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -98 or -67?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -11\/224 (b) -4 (c) 0.08 (d) 1 (e) -1170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of 1\/3*i**4 + 17*i + 0 + 3*i**2 - 3\/2*i**3. Is l(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**5\/5 + 16*y**4\/5 + 48*y**3\/5 - 128*y**2\/5 - 256*y\/5.\nAnswer: -4*y*(y - 4)**2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27273235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -0.4 (b) -0.7 (c) 0.45 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 + -170?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -7. Suppose 0 = g + t*g - 8. Suppose 2*a = 8 - g. What is the remainder when 10 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4.566 + -7.56. Let b = 0.006 - w. Is 1\/7 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 4*g - 8 = 0, 45*f - 18 = 100*f - 48*f - 4*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 0.01 (b) 465 (c) 2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 4:16 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -11*w**5 + 1813*w**4 - 36322*w**3 - 87316*w**2 - 14664*w = 0.\nAnswer: -2, -2\/11, 0, 26, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 3*k = -6. Suppose 3*y + 2*b = 102, -2*b = -k*y - 3*b + 99. Let c = y - 28. What is the least common multiple of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-27)\/(-18))\/(3\/(-8)). Let g be ((-5)\/2)\/((-2)\/z). Let x(c) = c**2 + 5*c + 1. Give x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 5 = -15. Let l(b) = b**3 - 5*b**2 + 9. What is the remainder when 15 is divided by l(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 3*p, -k + p + 6 = 2*p. Suppose 0 = -k*u + 2*h - 21, -3*u - 36 = 2*u - 3*h. Which is the smallest value? (a) u (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7 in -402, 2\/217, 4, 0.3, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 672430?\nAnswer: 2, 5, 11, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2332 a factor of 31475210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1001110101101 (base 2) to base 5\nAnswer: 130122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 + 8*y**2 - 14*y - 12. Let h be s(-9). Let g = 3 + h. What is the highest common divisor of g and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9789 = -115*i + 397*i - 4311 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 20441011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -7 (c) 0 (d) -176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1101281 is divided by 1188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k\/k**(19\/3)))**(-46)\/(k**(1\/6)\/k*k*(k\/(k*k**(-19)\/k*k))\/k) assuming k is positive.\nAnswer: k**(-619\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 2*m - 5*m, f - 4*m = 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1b361 - 3?\nAnswer: -1b364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + -2 - (-70 - -61)) + (0 - -22).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of -v**6\/420 + v**5\/42 - v**4\/12 + v**3\/7 - 7*v**2. Factor o(t).\nAnswer: -2*(t - 3)*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 34 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-4))\/((6\/(-40))\/((-702)\/(-5265)))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 7128, 6656, 5866, 4758, 3332, 1588?\n\"Answer: -159*i**2 + 5*i + 7282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2683068 + 1655068. What is p rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + (-1 - 0) - ((-74 - 73) + 113)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2403 times 153440\nAnswer: 368716320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 69*t**3 + 5*t**2 + 5*t - 24*t**3 - 44*t**3 to j*t**2 + l*t**3 + w*t + c and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -24 * 0.198975.\nAnswer: -4.7754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u + f - 10 + 3, 3 = 2*u + 5*f. Suppose 79985 = -2*q + 4*q + 5*s, 2*q = u*s + 80012. What is q rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes after 7:51 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 1 + 5 = 0. Calculate the remainder when 5 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*a = -56 - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r - 2. Let a be u(-1). Suppose -9 = s - a. Are s and -10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 73980 and 84.\nAnswer: 517860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 12) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 930690646 to the power of 1\/2, to the nearest integer?\nAnswer: 30507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of j**3*t*u**3 - 126366*j**3*u**3 + 3*j**2*u**2 + 66*j**2 + 41*j*t*u**3 - t*u**3 wrt j.\nAnswer: 6*t*u**3 - 758196*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 115770\/60 - (-1 + 10\/4). Suppose -4*j = 2*y - b, -j + 545 - 63 = 5*y. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9438?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -597*b + 606*b - 80 + 8 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 433*h**2 + 0*h**4 + 5*h**3 + 15*h**4 - 28*h**4 + 2*h wrt h.\nAnswer: -312*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -524 = -i + 109. Suppose d - 4*d + i = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in 66*x**5 - 130*x**4 - 334*x**3 + 386*x**2 + 12*x = 0?\nAnswer: -2, -1\/33, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4\/5, 0.415, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6873281, -6873356, -6873481, -6873656, -6873881?\nAnswer: -6874156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -377, -735, -1091, -1445?\n\"Answer: g**2 - 361*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00176007 to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7274616 and 610.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 236*v**3 + v**2 - 4*v + 3. What are the prime factors of z(1)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 27*s - 104. Let x be b(4). Solve 0 = x*i - 2*g + 7*g - 29, 0 = -i + 2*g - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 3*w + 3140, w = -55*k + 60*k - 3150. Calculate the remainder when k is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2099*n**3*w + 758*n**3 wrt w.\nAnswer: -2099*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is a - -198?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 199*y = 135 - 2269 - 55 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (37\/(296\/8))\/(((-6)\/(-87))\/2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 6594 = 3*q + 2360, 2*q = 4*m + 2786. Let f = -862 + q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaajajaa?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1199 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1131 and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000059294433 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.1 - -3.9. Let j = -2 + b. What is the second biggest value in -0.5, -1, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -408 + 504 = -b. Is b at most as big as -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33302, -33309, -33314, -33317?\nAnswer: -33318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 24\/32 + 17\/(-12). Let h = 56 + -51. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/4, 2, -29, -1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11? (a) 9 (b) 0.04 (c) -0.5 (d) -65.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put together 3492.1904 and 31.5153.\nAnswer: 3523.7057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 762557857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -328 - 3*p - 338 + 659.\nAnswer: -3*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(13)*1 - sqrt(13)) + sqrt(13))**2 - sqrt(1053)*2.\nAnswer: -26*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 7 (c) 481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2*r + 5)*((r - r + 2*r)*(-r - 3*r + 6*r) + (0*r**2 + 2*r**2 - 4*r**2)*(1 + 0 - 2) - 2*r**2 + 7*r**2 - 4*r**2).\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**2 - 5*v - 10. Let a be u(7). Suppose -2*k - 33 = -2*t + 39, -5*t + 183 = -a*k. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 4, n: 14}. What is prob of picking 3 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-4\/7)\/g)\/g**(-4\/7)*g**(-6)*g*g**(-10)\/g)**28 assuming g is positive.\nAnswer: g**(-476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -427\/31 bigger than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b**2 + 16*b + 22. Let j be a(17). Let k(z) be the first derivative of 0*z - 4*z**2 + 0*z**4 - 4\/5*z**j + 4*z**3 + 6. Factor k(x).\nAnswer: -4*x*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 121656, 121629, 121588, 121533?\n\"Answer: -7*s**2 - 6*s + 121669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000330111 to six decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 1 - 1)*(q + q - q + 2).\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r. Let f(u) = 5*u. Let s(a) = 22*d(a) - 4*f(a). Let b(c) = -96*c**2 + 192*c**2 - 98*c**2. What is s(b(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6539300.\nAnswer: 2, 5, 65393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 329999774 rounded to the nearest 100000?\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 78 = -2*v + i, 5*i = 4*v - 156. Suppose -5*n - v = -f + 21, 2*f - 150 = -5*n. Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 0.02, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 2. Suppose 5*h - 4*t = 2*h + 20, h + 5*t = -25. Let c(d) = h*d - d + 1 + 1. Let o(q) = q - 3. Let y(v) = -3*c(v) - 2*o(v). Calculate u(x) - 2*y(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -4*i. Let g(y) = -36*y**2. What is g(z(a))?\nAnswer: -576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 285*t - 171. Is r(7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*x - 5*v + 8*v + 204, -5*v = -5*x - 255. Which is greater: x or -20\/7?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**3 + 8*m**2 - 9*m + 3. Let y be h(-9). Suppose -24*d + 28*d = 2636. Suppose y*z - d = 2*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.03 (b) -0.13 (c) 227\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4c + -f2c3d8?\nAnswer: -f2c424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1759962.71 and -0.2939297?\nAnswer: 1759963.0039297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 48718544 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-16)*h*h**6)\/((h\/h**11)\/(((((h*h**14)\/h)\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1963*u**2 - 4686*u**2 - 67549*u + 67549*u + 13688 wrt u.\nAnswer: -13298*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3438 + -3438.01. What is the second biggest value in -2, h, -134, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9.822812 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 4*o. Let u(q) be the third derivative of -1\/15*q**5 - 3 + 0*q + 0*q**3 + 0*q**4 + 13*q**2. Determine u(b(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9454 + -66176\/7. Which is the closest to 0.1? (a) 0.5 (b) 3\/25 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (18 + 18 - 122*s - 36)*(4 - 1 - 6) in the form w + b*s and give b.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205310687*v - 4*v**2 + 205310687*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 - n + 1. Let l(i) = 10*i**2 + 11*i - 11. Let r = -8 - -4. Let f(x) = r*l(x) - 44*k(x). Let q(u) = -1 - u + 1. What is q(f(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 105 = 5. Find the common denominator of 1\/f*(-15)\/(-12) and -29\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3015414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6232.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 and 11130.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 96.9 - 97. What is the nearest to -39 in 4, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**2 - u - 6. Let y = -14 + 21. What is the units digit of s(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1 - -336)\/(-3 - -4). Let w = 392 - u. Does -4 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(16)\/(sqrt(48)\/sqrt(6)) - sqrt(22)\/(sqrt(66)\/(sqrt(486) - sqrt(6))))**2*1.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2131528571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-10))\/(2*15\/(-100))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-10897.\nAnswer: 4358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 - 87 = -185*f + 312. Solve 7 - 5 = -3*z + 2*p, 0 = 5*z + 2*p - f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17882410*b**5 - 2175829*b - 6 wrt b?\nAnswer: 357648200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(((v*(v*v**8)\/v)\/v)\/v)*v**(-1\/8))**(-2\/81)*(v*v**(2\/7)*v*v\/((v*v\/(v\/(v**1*v)))\/v*v))**(3\/8) assuming v is positive.\nAnswer: v**(293\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3\/3)\/1*0*-1. Let k(c) be the second derivative of -2*c + 0 + o*c**2 - 1\/3*c**3. Let t(d) = -3*d. Determine k(t(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**3 - 6*a**2 - 5*a + 5. Let u(y) = -y**2 + 4*y + 7. Let d be u(6). What is the remainder when (-55)\/(-4) + (-1)\/(-4) is divided by p(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.6 times 24314450\nAnswer: -14588670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of 4\/9*j**3 + 20*j**2 + 0*j - 2\/9*j**4 + 0 + 1\/18*j**5 - 1\/180*j**6. Factor d(n).\nAnswer: -2*(n - 2)**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1903.\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 34.152 - 0.152. Let y = 33.883 - l. Is y smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34*j + 199*j + 21*j + 218*j to p*j + h and give p.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum 2896556 and 6460391.\nAnswer: 9356947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 4851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.08? (a) 0.89 (b) 0.6 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -50*2\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 31.7, -1, -5.\nAnswer: -5, -1, 2\/7, 31.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -4*-1.2\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -4 - -6 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0627904 millilitres in litres?\nAnswer: 0.0000627904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1c56c2a (base 13) to base 14.\nAnswer: 137a528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -624 + -4?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -304 - -740. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 5:51 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3399 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n - 18. What is x(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -30*p + p**4 - 2 + 33*p - 3 + (-1350 + 1350 - 58*p**3)*(-p + 3*p - p) to b + j*p**3 + a*p + x*p**4 + f*p**2 and give x.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**2 + 10*s - 2. Let a be o(10). Let h(b) = -2*b - 2. What is the units digit of h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-5*3*(-2*sqrt(1053) - sqrt(1053)))**2*-2*-6.\nAnswer: 153527400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 49619.3 weeks to hours.\nAnswer: 8336042.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 = -c + 7*y - 6*y, c + 2*y = 48. What is the remainder when 3989 is divided by c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2605038 a multiple of 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the second derivative of s**5\/35 + 13*s**4\/7 - 16*s**3 - 3808*s**2 - 4758*s. Factor m(j).\nAnswer: 4*(j - 17)*(j + 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a = 3*l - 5 + 2, 0 = -3*a + 4*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 2*i**3 + i**2 + 2*i - 2. Let b = -65 + 62. Let n be (-4)\/(-12) - 2\/b. Let t be d(n). Calculate the highest common divisor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from mjjffpjpjefpp?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be 312\/273 - (-390)\/14. Put -2, z, -6 in descending order.\nAnswer: z, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -t**7\/840 - t**6\/360 - 2*t**3\/3 - 8. Let n(m) be the third derivative of c(m). Solve n(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 0.04, 2\/7, 3\/5, 4, 1895, -5, -2?\nAnswer: 1895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(91)*1*-2 - sqrt(91))\/((-2*sqrt(77) - sqrt(77))\/sqrt(11)) - (sqrt(195)\/(1*sqrt(5)))\/(sqrt(3)*1*5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 55 - 53. Calculate the greatest common factor of 134 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.01 - -2.01. Let n = 27 - 17. Let m = -9 + n. Do g and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1361.367 millennia in centuries?\nAnswer: 13613.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 169 and 35659?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3 - 264691\/(-336)*2. Let b = -1579 + f. Find the common denominator of b and -131\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 132 and 1287?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1567 = 239*a - 6347, -4*u + 35 = 3*a - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 152 and 10564.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.04, 2\/117, -0.16, -14\/67 in ascending order.\nAnswer: -14\/67, -0.16, -0.04, 2\/117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Subtract -767177195.5 from 1.\nAnswer: 767177196.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4515613 is divided by 991.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 - 1 - (-3 - 23). Let q = -145 + 148. Calculate the greatest common factor of z and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d in -1\/2*d**2 - 1211*d - 1466521\/2 = 0?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 69*q**3 + 2*q**2 - 94*q + 2. Let j(t) = t**2 + 1. Let d(s) = -a(s) + 2*j(s). Find the second derivative of d(m) wrt m.\nAnswer: -414*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-34 - (8 - 67)) + 9 + 1 + -9 - -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 1 + 6*p - 7 + 5*p**2 - p**3 + 3. Let x be h(6). Let w(q) = -q**2 + q - 1. Let g(k) = 4*k**2 - 10*k + 8. Let u(m) = g(m) + 5*w(m). Determine u(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 0*k + 2*k = 6, 2*u + 3*k + 7 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 3*y + 2*y**2)*(-2 + 3 + 1) + 0*y**2 - y**2 - y**2 + (y + y - y)*(3*y - y - y) + 0*y**2 + y**2 - 3*y**2 - 5*y**2 + 22*y**2 - 9*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - -11 - (8 - 3) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3714680157?\nAnswer: 3, 37, 33465587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**1*t**(6\/13)*t**(-12)*t**(-12)\/t assuming t is positive.\nAnswer: t**(-306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 25, -44, -111, -176?\n\"Answer: u**2 - 72*u + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:09 AM and 11:47 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1211, 3012, 4645, 6026, 7071, 7696?\nAnswer: 7817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -653*v - 3271. Determine m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3 - 1) + 2*-16. Let z be 6\/4*12\/t. What is the nearest to z in -3, 0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c*c**(-30))\/c)\/(c*c*c\/(c\/c**15)))\/((c\/(c\/(c\/(c*c\/c**(3\/8)))))\/(c\/(c*c**46))))**(-1\/22) assuming c is positive.\nAnswer: c**(739\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -16, -32, -48, -64, -80?\n\"Answer: -16*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*g**3 - 28*g**3 - 1008*g + 1008*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 173, 348, 533, 734, 957, 1208, 1493?\n\"Answer: m**3 - m**2 + 171*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m = 2*h - 2, 0 = 4*m + 12*h - 9*h - 9 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z**2 + 75*z**2 - 3044*z + 3044*z + 17*z**2.\nAnswer: 92*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 541910085 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14368 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.6043 - -1748.5.\nAnswer: 1749.1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 10078430*-0.01\nAnswer: -100784.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 63, -1 in decreasing order.\nAnswer: 63, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -3*q**2 + 27*q - 27. Let u be t(7). What is the second derivative of 5*i**2 + 7 - 92*i + 2*i**5 + 8 - u wrt i?\nAnswer: 40*i**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.230828l?\nAnswer: 230.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:03 AM and 12:47 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4573 + 2029 = 2*s + 5*g, -s + 3323 = -3*g. Suppose j = 3*z - 2493, -34*z + 38*z + 3*j - s = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1368 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 415162796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 252 - -4?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 932268.3 centimeters?\nAnswer: 9322683000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-153)\/(-102)*4\/(-6). Sort 23, s, -4, 5.\nAnswer: -4, s, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5868\/302489 - -2\/2827. Suppose -2 = 3*u + 5*r, -5*u + 2*u + 3*r = -6. Is t > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4\/32985 or -1?\nAnswer: 4\/32985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 174.66 take away -348.5663?\nAnswer: 523.2263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10384.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = a - 3*s, -6*s = a - 5*s - 9. Let y(n) = -n**2 + 9*n - 2. Let d(f) = -f + 1. Give a*y(j) + 3*d(j).\nAnswer: -j**2 + 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00025298 to six decimal places.\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1977, -3860, -5743?\nAnswer: -7626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -10*f + 18. Suppose -2608 = -13*t - f*t. What are the prime factors of t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12668 divided by 3167?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 33\/(-110) - 2\/(-8). Does 0.2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s + 7. Let r(x) = x - 6. Let g(v) = -4*r(v) - 3*u(v). Let d be g(0). Solve -d*b = 5*q - 3 + 6, -5*b = 4*q + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - d - 1040 = 0. What is d rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -37*l**2 - 8*l + 71. Calculate d(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 + 10*h**2 - 14*h + 3. Suppose 6*k - 2*v + 34 = 2*k, 2*k = 5*v + 3. Let m be g(k). Calculate the highest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 1464*o + 526. What is the tens digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the third derivative of -x**6\/120 + 7*x**5\/60 - x**4\/12 - 4*x**3\/3 + 29*x**2. Determine f(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 881, 1567, 2243, 2915, 3589, 4271, 4967, 5683?\n\"Answer: g**3 - 11*g**2 + 712*g + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 + 9. Let k(g) = -3 + 5 + 1 - 2. Let p(y) = -5*k(y) + m(y). What is the derivative of p(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 + 4)*((-k + 6 - 6)*(2*k - k - 3*k) - k**2 + 3 + 0*k**2 + 0*k**2).\nAnswer: 2*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -310 - -311. What is the remainder when 97 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7607, -7551, -7467, -7355, -7215?\nAnswer: -7047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 - 2*a + 5. Suppose 1 = -3*l - 11. Let f be j(l). Let m(s) = -s**3 - 5*s**2 - 4*s - 1. Let g be m(-2). Sort 5, f, g in ascending order.\nAnswer: g, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -512 = 6*x - 22*x. Let c = -24 + x. What is the highest common divisor of c and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -36 + 18. Let p be 40\/(-15)*k\/8. Solve -3*x + p = 4*j, x = -j + 2 - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 66426, 265687, 597790, 1062735, 1660522?\nAnswer: 2391151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2. Let z be (5\/(-2))\/(10\/(-8)). Let l be 3\/z - (-3)\/6. Let u(f) = -20*f**l + 12*f**2 + 10*f**2. Calculate g(u(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -10 <= 0.5822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 55*a**2 - 26*a + 3*a**4 - a**4 + 49*a**2 - 175*a**2 + 53*a**2 to the form r*a**3 + f + d*a**4 + j*a**2 + z*a and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - -0.2. What is the closest to -1\/6 in 5, y, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -231520.35 take away -0.5?\nAnswer: -231519.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -2*y**2\/7 - 1152*y\/7 - 165888\/7 = 0.\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i**2 - 4*i**2 + 3*i**2 + (4 - 4 - 3)*(28*i**2 - 9*i**2 + 17*i**2))*(-3*i + 4*i - 2*i).\nAnswer: 110*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 14031210 (base 5) to base 12\nAnswer: 6a6a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 31*a*f**3 + a*f**2 + f**3 - 24*f**2 with respect to a.\nAnswer: 31*f**3 + f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 4*x = 24. Suppose x + 7 = 5*y. Solve -4*v = -3*z + 19 + y, -4*v = 3*z + 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 341*f - 816. Calculate i(3).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of -w**3\/3 - 17*w**2 + 21*w - 672. Calculate n(-32).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqhqqqqhq. Give prob of sequence hq.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (-1 - (9 + -12 + 9)) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16.7 - -16.3. Let s(b) = -2*b**3 + 2*b + 1. Let k be s(-1). Let o = 14 - 10. What is the nearest to k in o, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -3.54 (c) 2\/7 (d) -6429.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/(-4))\/(2\/20). Suppose 5*i - j = 2*j + 9, -2*j = -4*i + 6. Solve i*d - 5*l + 10 = d, -l = a*d - 26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 51014040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*u - 25 - 18 + 13.\nAnswer: 3*u - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -246171*h*w - 15389141*h + 6*w wrt w.\nAnswer: -246171*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/4, -1, 18, 2.5, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4507 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 155 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, -6, 22, -3, -12, -1.\nAnswer: -12, -6, -4, -3, -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 29914, 2\/3, -2\/5, -1 in decreasing order.\nAnswer: 29914, 7, 2\/3, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -1. Let x(m) = 5. Let j(b) = -4*s(b) - x(b). Let z(n) = n - 7. Let q(h) = -14*j(h) + 2*z(h). Let w(d) = 19*d**2. Determine w(q(l)).\nAnswer: 76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5694 and 54093.\nAnswer: 108186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3658 - 2258. Calculate the common denominator of -81\/4 and (-1046)\/t + 20\/(-140).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.507 (b) -2\/9 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (-2742285)\/(-10) - (-2)\/6*(-6)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3539 minus -0.00908?\nAnswer: -3538.99092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 31*s**2 - 13952*s\/9 + 100\/9 = 0. Calculate s.\nAnswer: 2\/279, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 70 + 2. Let t be (6\/21)\/(7\/49). Let i(w) = 34*w - w**t - 5 - g*w - w**3 - 2*w**2 - 13*w. Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 14834 - -1093862\nAnswer: 1108696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1453 + -1432. Let a(v) = 18*v - 6. What is the remainder when a(6) is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + 1100010000?\nAnswer: 1100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 46*d**4 + 20*d**3 + 53*d**2 - 62 wrt d?\nAnswer: 1104*d + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 427*n = -4842 + 22431 + 9739 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 14 = 2*v, -2*v + 10 = 5*q - 6*q. Suppose 5*u - u = 2*p - 452, v*u + 454 = 2*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5\/3? (a) 0.2 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -160417416*f**3*w**3 - 6204661*f*w - 2*f + w**3 + 2*w wrt f?\nAnswer: -962504496*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00007055 to six decimal places.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 185 is divided by 146.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (2 + (-1 - -3) + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 7867 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes after 6:07 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 258\/301*(-21)\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -2*t**2 - t. Let o(k) = 6*k**2 + 24*k + 5. Let u(m) = 4*f(m) + o(m). Differentiate u(z) wrt z.\nAnswer: -4*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13794, -13768, -13742, -13716, -13690?\nAnswer: -13664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2053 (base 6) in base 12?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -50486 at least -50486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 32*t - 166?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**2. Let f be (-12)\/96 - 69\/24. Let s(w) = -5*w**2 + 11*w + 4. Let d(g) = f*p(g) + s(g). Give d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4.3 + 4. Let d = 0.145704 - 0.545704. Let r = -0.4 + 0.3. Sort r, d, j, 1.\nAnswer: d, j, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 3156*o - 9537. Determine g(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-53*g**3 - 18*g**3 - 385*g**3)*(9 + 2 + 0) + 0*g**3 + 0*g**3 - 2*g**3.\nAnswer: -5018*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -28124327 or -28124326?\nAnswer: -28124326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 62564, 62594, 62624, 62654?\n\"Answer: 30*m + 62534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - d = 56. Let b be (-2032)\/d - (-4)\/(-14). Suppose g + 2*g - b = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/6)\/(-1*(-15)\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (-1)\/(-2)*(-1 - -5 - -68) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/5489863 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 89052 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) -0.4563 (c) 0.256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2, 8\/13, 5, -243, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 3*i**3 + 166*i**2 + 227*i + 646. Determine r(-54).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*0.11.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -159 - -227. Let f = -2973 + 2904.9. Let m = c + f. Which is smaller: -0.3 or m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 124 = -4*b, -12 = -4*x - 0. Find the third derivative of 13*p**2 - 20*p**2 + b*p**3 + 60*p + 6*p**2 wrt p.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -31*h + 1. What is the remainder when u(-1) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 - k**2 + 7*k - 5. Let r be o(-4). Let w(v) = 31*v - 46. Let b be w(r). Suppose 0 = 5*f - 101 - b. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135675 is divided by 67834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 675 and 1125?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.19 - 4.81. What is the nearest to 1 in 0.4, -4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 6*c**2 - 19*c + 6. Let l be r(4). Which is smaller: 13 or l?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00130239 to five decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5)\/(-10) + 5\/2. Suppose 0 = 2*b - 3 - 3. Find the third derivative of -3*u**3 - 3*u**6 + b*u**2 + 3*u**o + 0*u**2 wrt u.\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 22*s - 436. Let m be o(20). Put 7, 2, m in descending order.\nAnswer: 7, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 322 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**3 - 6*i**2 + 13*i - 4. Let t(w) = -2*w**3 + 11*w**2 - 27*w + 7. Let c(h) = 3*t(h) + 7*v(h). What is the remainder when 26 is divided by c(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 483 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 4.519466 years in months?\nAnswer: 54.233592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2973318?\nAnswer: 2, 3, 277, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -31, -31, -33, -37, -43, -51, -61?\n\"Answer: -p**2 + 3*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 55.69 - -1.31. Let a = c - 14. Let u = a - 42.6. What is the biggest value in 1, -2, -5, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -15*c + 2. Let h(d) = 3*d**2. What is h(n(u))?\nAnswer: 675*u**2 - 180*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pj when two letters picked without replacement from gppgjpgjpggj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 5*x + 891, -2213 = -5*j + 3*x - x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -182, -234, -300, -386, -498, -642?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/5 + 266\/285. Let g = -43\/60 - x. What is the second smallest value in 2, -3, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -39*o**4 + 22*o**3 - 37*o**4 + 78*o**4 + o**2 - 6 as n*o**3 + g + m*o + v*o**4 + s*o**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u**(-7))*u**(1\/8))**(5\/13) assuming u is positive.\nAnswer: u**(285\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -1\/3, 4, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 PM and 1:31 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 5*l - 35 = 0, 0 = -5*l - 0 - 5. Suppose 0*d - 2*d = 0. Is 16 a factor of -32*4\/j - d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/1)\/((-1)\/(-15))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(192) + (sqrt(192) - 3*sqrt(192))*-6 + sqrt(192))\/(sqrt(576)*1 - sqrt(576) - sqrt(16)\/sqrt(4)*3))**2.\nAnswer: 3136\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 6 in -1\/94, -1\/5, -7?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -19 - -18.88. Let k = z - 8.88. Let l = k + 9. Sort 0.1, -3, l.\nAnswer: -3, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 506 divide 7668430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 14270327 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) 10.4239 (c) -1\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 7*n**2 + 5*n - 1. Let o(f) = 14*f**2 + 11*f - 2. Determine -13*d(a) + 6*o(a).\nAnswer: -7*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3142213?\nAnswer: 571, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.137684619 to 3 dps.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 8:03 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.9 + -0.1. Let l = -1.8 - s. Let r = -15 - -20. Put -3, r, l in increasing order.\nAnswer: -3, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5 is divided by -1 + 1\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 158, -290, -3, -1.\nAnswer: -290, -3, -1, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 86 (b) -4 (c) 1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*l - 53 - 22 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 216*f = 10472 - 9824. Factor -13\/10*q**2 - 1\/10*q**4 - 6\/5*q - 2\/5 - 3\/5*q**f.\nAnswer: -(q + 1)**2*(q + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + -6. Let v = 2.02 - 0.02. Let l be (-7)\/(-20) + 9\/(-12). Which is the closest to l? (a) v (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -469\/2365 + -4\/2365. Let f = 3 - 3. Which is the fourth smallest value? (a) -5 (b) z (c) 2\/13 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4ab + 40001?\nAnswer: 404ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14 or -1119?\nAnswer: -1119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + 1)\/(1 - 2). Solve d = 5*a - 0*a + x - 25, 4*a - 6 = 2*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -163, -376, -593, -814, -1039, -1268, -1501?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 10126205 and 98?\nAnswer: 992368090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 484*y**2 - 862*y**2 + 376*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000180375458 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be -7 - -11 - (-1049 - (-2 - -2)). Calculate the highest common divisor of 390 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of -h**5\/20 + h**4 + 15*h**3\/2 + 4*h - 4. Let z be w(15). Let u(f) = f**2 - f + 15. Determine u(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 713518*0.1.\nAnswer: 71351.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of 10*m**7\/3 - m**4\/2 + 2*m**3 + 23*m + 1. What is the third derivative of t(x) wrt x?\nAnswer: 8400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5.3, -37, 146?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pv when two letters picked without replacement from {h: 2, j: 1, p: 5, y: 1, v: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 105 + -531\/5. Let r = -311\/10 + 3431\/110. Sort -2\/3, -3, a, r in decreasing order.\nAnswer: r, -2\/3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -62747807*m**6 - 49662365*m**2 wrt m.\nAnswer: -7529736840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(-36) - (2\/8 + 0)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 10133780 to the nearest one hundred thousand.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7 - -7. Suppose 5*y + 81 + 299 = 4*f, s = -4*y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -5*r**2 + 810280*r - 810275 = 0.\nAnswer: 1, 162055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 365*a - 342*a - 14694 = -303*a + 20514 for a.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 51 + -44 + (5 - 18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 100441 and 48783757.\nAnswer: 4367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 2 - 2)*(-6 + 5 + 0) + 5 + 11 - 4)*(221 - 221 - 236*y).\nAnswer: -2360*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, e: 2, w: 1, p: 1}. Give prob of sequence we.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -2*c**3 + 2*c**2 - 3*c + 3. Let r be w(3). Which is smaller: -44 or r?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6 + (3 - 1))*(-5)\/10. Solve x*u = -2 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -4 (b) -0.5 (c) 0.003 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 + 86. Let n(u) = 3*u**2 - 774. Let o(g) = 2*n(g) + 18*x(g). Let r(k) = 411*k**2. What is r(o(p))?\nAnswer: 236736*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 197956 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of -1\/4*g**4 + 93 + 5\/3*g**3 - 5\/2*g**2 + 7*g. What is l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -351287388*s**3 - s**2 + 7259584*s - 4 wrt s.\nAnswer: -2107724328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 355.19317 rounded to one dp?\nAnswer: 355.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 25*y + 2. Let v be (3\/6)\/(2\/4). Let l be i(v). Calculate the highest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 176607, 353214, 529821, 706428?\nAnswer: 883035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 4. Let g be 98\/p*(4 - 2). Let b = g - 23. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u + 23*u - 6529 = 8171. Does 140 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = 5*j - 3*l, -j + 75 = 6*l + 93 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2\/5 + 24422*j\/5 + 19544.\nAnswer: -2*(j - 12215)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -3 - 61 - (-11 + -6 + 23 + -20)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1573 (base 10) to base 14\nAnswer: -805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 14 + -1106149850\nAnswer: -1106149836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 67299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2.64378 - -2.64. Round r to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -539*p - 3053 + 7904 = 0. Let s(r) = r**3 + 4*r**2 - 2*r - 4. Let x be s(-4). Solve x*w = w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -221101 - 102120?\nAnswer: -1100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)\/(5*(sqrt(9)*-2 + sqrt(9))) + -2 + (sqrt(68) + (sqrt(68) - (-2*sqrt(68) + sqrt(68))) - sqrt(68)).\nAnswer: -2 + 19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -52*w + 56*w. Let z(p) = w*p**2 + 9*p**2 - 13*p**2 + 6*p. Give z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 7*l + 114. Give x(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is s in 5*s**3 - 15*s - 10 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.00379? (a) 11\/8 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 1239, -2181, -47 in decreasing order.\nAnswer: 1239, -47, -2181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - 0. Let w = 0 - x. Solve 0*a + w*a = 0, -12 = -3*y - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9511, 9497, 9473, 9439?\nAnswer: 9395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/5 or 1191?\nAnswer: 1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*j**4 + j**4 + 0*j**4)*(4 - 4 - 2*j) + 3*j**5 + 0*j**3 - 4*j**5 + j**4 - 2*j**3.\nAnswer: -9*j**5 + j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 4:52 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 18, j: 2}. Give prob of picking 2 e.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 6*v**3 + 8*v**2 - 6*v - 8. Let m(l) = -7*l**3 - 9*l**2 + 7*l + 9. Let s(x) = 6*h(x) + 5*m(x). Let q be s(-3). Solve q = -3*i - 1 - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -39 + 23 + 2 + 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + 3 + -2)*1. Suppose -o - 2 = -f*o. Suppose -h - 135 = -6*h - o*l, l = h - 20. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 3342*m - 13344. Determine c(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 - -1. Suppose v = b*c - 8, 3*c = 2*v - 1 + 3. Solve -2*r = 5*h - 16, 6 = -c*r + h - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -2 - (-7 - (2 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 - 189*d**2 - 1126*d - 173. Determine p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1037000 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 421758819 divided by -3799629\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-15 + 5)\/20 - (-2)\/4. Suppose 2*p + 3*b = -1377, -3*b = -3*p - n*b - 2043. Round p to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-6)\/(-15))\/((-1)\/(-20)*(-4)\/(-7604))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (-7 - -5) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 1 + 5 = 3*y, 24 = -3*p + 5*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 961*g**3 + 149293396*g**2 - 577920720*g + 559281600 = 0. Calculate g.\nAnswer: -155356, 60\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 44*g - 43. Let t(u) = 18*u - 21. Give 4*h(n) - 9*t(n).\nAnswer: 14*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y**2 + y**2 + y**4)*(-2*y + 2*y - 2*y)*(39 - 4 - 5) - 8 - 4*y**5 + 8 + (-3*y**3 + 5*y**3 - 3*y**3)*(0*y + 0*y - y**2).\nAnswer: -63*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 233*h**2 - 151. Let d be ((-27)\/21 + 1)\/((-10)\/280). Let n(o) = -78*o**2 + 50. Let f(x) = d*n(x) + 3*w(x). Find the first derivative of f(k) wrt k.\nAnswer: 150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 436 divided by 1.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/7 - 8\/(-28). Suppose 1 = -j - l. Let m = 0 - -2\/7. What is the closest to -0.1 in 0.3, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -85*n**2. Let s(r) = -23*r - 19. Let x(p) = -15*p - 13. Let z(a) = -2*s(a) + 3*x(a). Calculate f(z(y)).\nAnswer: -85*y**2 + 170*y - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((12\/(-15))\/((-315)\/(-75)))\/(3\/(-72)). Let j be 1 + (33\/15 + -2)*15. Suppose -a*w**2 + 0 + 6\/7*w**3 - 8\/7*w**5 + 22\/7*w**j - 8\/7*w = 0. Calculate w.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7649 + -7660. What is the nearest to -0.7 in 1, -5\/2, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 2*f + 29. Let c(o) = o + 1. Let q(i) = -3*c(i) + k(i). Let v be q(11). Calculate the greatest common factor of 165 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.85828508 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {p: 1, y: 1, j: 1, k: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (720\/(-20))\/(-432)*(-24)\/32*-1*30.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -205495\/129 - -1593. Let o = g - 15\/43. Let n = 8 - 13. What is the third smallest value in n, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -129374, -129368, -129360, -129350?\nAnswer: -129338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 26 - 46 = 0. Solve -5*h - y*a = 30, -3*a + 0*a - 20 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 2\/9 (c) 3\/4 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1747368, 3494736, 5242104, 6989472, 8736840, 10484208?\n\"Answer: 1747368*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/14*20 + (-2416)\/56?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 23*l**4 + 62684*l**2 + 1917690 with respect to l.\nAnswer: 92*l**3 + 125368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20*x + 4*x - 7*x)*((-2 + 1 + 2)*(-2 - 3 + 3) + 2 - 4 - 2) + 3*x + 9 - 9.\nAnswer: 141*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -95, -197, -295, -389, -479, -565?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) -0.5 (c) 531 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -15, 0, 17, 36, 57, 80, 105?\n\"Answer: t**2 + 12*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x**2 + 2*x**2 - 3*x**2)*(9359*x**3 + 567*x**2 - 1162*x**2 + 595*x**2).\nAnswer: -9359*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 41 - 19. Let d = -2 + 5. Suppose 4*x - 20 = 0, d*x - 60 + 21 = -2*z. Calculate the lowest common multiple of z and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.47 in 2\/25, -3, 14?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -1233230310 (base 4) to base 8.\nAnswer: -1575464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*q - 13 = 22 + 77. Let v = -24 + 24. Solve 5*y + 5*k = 0, v*y + 1 = 3*y + q*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2497, 2533, 2579, 2635, 2701?\nAnswer: 2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6075 - -701?\nAnswer: 6776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (20 - (4 - -47)) + (-4 - -1) - (-24 - -28)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the first derivative of -5*i**2\/2 - 4*i + 335. Let l(b) = -4*b - 4. Calculate 6*l(r) - 5*m(r).\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24 + -17. Suppose 17 - i = k. Suppose u = 6*u - 2*j - 68, 67 = 5*u - 3*j. Calculate the smallest common multiple of u and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from punqpqmmjmqmpqppmnnj.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -0.1, 1\/3 in ascending order.\nAnswer: -1\/2, -0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 941206 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the second derivative of -3*f**5\/20 + 7*f**3\/6 + 4*f. What is the second derivative of i(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the third derivative of 0*m**4 + 0*m**3 + m**2 + 0 + 17\/40*m**6 - 1\/20*m**5 - 80*m. Find the third derivative of i(u) wrt u.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -462 - -690. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -t**2 + 12793*t + 15754 wrt t.\nAnswer: -2*t + 12793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the third derivative of -3*p**2 + 1\/60*p**5 + p**3 + 1\/24*p**4 + 0*p + 0. Is 27 a factor of s(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16367 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 - 7*z**2 + 11*z + 2. Let h be p(-10). Let s = h + -1346\/7. Which is the second biggest value? (a) -1 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*t = -12*t - 2*r - 436053, -t = -5*r - 87206. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003536108 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3789 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 x be 1*2\/(-10) + 0. Let r be 148\/962 - ((-112)\/(-13))\/4. Which is the smallest value? (a) x (b) 2 (c) r (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 1 + 65 = 0. Suppose 5*o + 2*d = 7*d - 35, j = 4*d. Let s = o + 6. What is the remainder when 7 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -4, -5, 4, -10 in descending order.\nAnswer: 4, 1, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/6)\/(4\/42). Let y = -5 - q. Let n(v) = v**3 - 3*v**2 - 3*v + 2. Calculate the lowest common multiple of n(4) and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 958 in -2, -0.3, 217\/6?\nAnswer: 217\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -51 + 53. Suppose -87 = 3*p - 2*w - 17, 0 = -f*p - 2*w - 30. Let x = p + 38. Calculate the greatest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1700 a factor of 11486624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/25232 and 47\/34694?\nAnswer: 277552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 8 - 15*h - 12 - 47*h.\nAnswer: -62*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (7*-2)\/(-1) + 0. Let p be (-4)\/l + (-90)\/(-21). Let y = -15 - -10. Sort p, 0, y in descending order.\nAnswer: p, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 4*v = 0, -3*l = -0*l - 4*v + 3. What is the common denominator of ((-1)\/(-3))\/(16\/l) and (2\/(-3 + -11))\/(8\/292)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*r + 11*r + 15*r)*(-r**2 + r**2 - r**2 + (-6*r - 5 + 5)*(-r - 3 + 3) + 2*r**2 - r + r).\nAnswer: 105*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the first derivative of -5\/4*w**4 + 0*w + 0*w**2 + 5\/6*w**6 + 0*w**5 + 0*w**3 - 1. Factor u(k).\nAnswer: 5*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/1 - (-12 - -6). Solve 0 = 5*k - o + 11, k = -0*o - 5*o + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 49322123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**2)**(-2\/65))**48*(r**(-1\/4))**(-47)*(r**(-1))**15 assuming r is positive.\nAnswer: r**(-1613\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, a: 1, r: 7, f: 2, y: 1, z: 8}. What is prob of sequence dy?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xcep when four letters picked without replacement from tpyxecxcxtce?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 80082 and 126?\nAnswer: 560574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - 5)*1 - 153\/(-15)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 3\/5, 23, -7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -23 (base 11) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/(-38))\/(8\/(-20)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 44\/(-7) + 4 + (-4)\/(-14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 5*m = -0 - 5, -3*w - 17 = m. Let x be ((-6)\/(-7))\/(w\/(-210)). Suppose -5*l + x = -9. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -4*t**2 - 4*t**2 - 18*t**2. Let k(m) be the second derivative of -1\/6*m**3 + 0*m**2 + 0 - 20*m. Determine k(i(a)).\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 + (-6 - 0 - (0 + 0)) + 16.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 345538 is divided by 5761?\nAnswer: 5639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 283318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 429.9 - 429.900025766. Round o to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 * -101\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 113 + -111. Calculate the highest common factor of x and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes after 2:52 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*p = -26*p - 102. Let z be 2\/p*(-29)\/((-3567)\/18). Put -1, 2\/9, 0.2, z in ascending order.\nAnswer: -1, z, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -2726 * 2\nAnswer: -5452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or -2.777193129?\nAnswer: -2.777193129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3\/(18\/4))\/(-23 - (-8990)\/390). What is the highest common divisor of 5317 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w + 8. Let s be d(-5). Let o(b) = -b**2 + 4*b - 1. Let p be o(s). Let x(f) = -f + 2*f - p*f. Let q(g) = 3*g. What is x(q(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u + 5*u + 0*u)*(3 - 1 + 4).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 9.04975 meters?\nAnswer: 9049.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/5*(-30)\/12. Suppose -k + 0 = -t. Suppose 0*f = -j + f + 1, 4 = j + k*f. Solve -4*c + 2 = -j*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ndb when three letters picked without replacement from bbbnbdmnbdnbbbbbmnb.\nAnswer: 44\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Subtract -6786302.48564 from 0.\nAnswer: 6786302.48564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1432.59 + -1.1663\nAnswer: -1433.7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**2 - 3*m**2 + 0*m**2)*(34*m**2 + 0 - 106*m + 2 + 108*m).\nAnswer: -102*m**4 - 6*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = -2*b - 5*n + 24, 0 = 3*b - 4*n - 8. Suppose 689 = b*z - 199. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 1. Let p(n) = -5*n**3 - n**2. Let z be p(-1). What is the closest to w in z, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 1, l: 19}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00890846 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the third derivative of -m**5\/300 + 139*m**4\/20 - 57963*m**3\/10 + 83*m**2. What is j in p(j) = 0?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 + 7*p**2 - p + 7. Let w be v(7). Suppose -3*j + 25 = 2*d, 0 = 2*j - w*j - 6. Let m be 15\/(-20) + ((-4410)\/d - -2). Round m to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.02448 + 8.97552. Sort 158, 1, n in descending order.\nAnswer: 158, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/((-70)\/(-9))*(-2)\/(-6).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/109 and -19?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is h in 122*h**4\/3 + 716*h**3\/3 - 6806*h**2\/3 + 880*h\/3 = 0?\nAnswer: -11, 0, 8\/61, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10*-2*((-12)\/6)\/(-4). Let z(y) = -y**3 - 8*y**2 + 20*y + 7. Determine z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 2 z when three letters picked without replacement from zmzozonnzznmznznonnm?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*u + 488*u**2 - 5*u.\nAnswer: 488*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 45674\/557 - (-7400)\/(-90)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -45 - -89. Let j = k + -113. Sort j, 4, 1 in descending order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.3 - 0.3. Which is the closest to -2\/7? (a) -1\/3 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -115 - 50. Let c = -114 - w. What is b in -31 + 19*b + 51 + 4*b**2 - c*b + 44 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1025729 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 57 and 59904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 2*v**5\/3 + 408398*v**4\/3 + 6950287282*v**3 + 229317825554*v**2\/3 + 396084699152*v\/3 + 62539109016 = 0.\nAnswer: -102094, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2 + 3*b + 4. Let d be -5*-3*30\/25. Suppose d = n + 5*n. Determine y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -13 - -3 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 3)*(41*q - 20*q - 70*q).\nAnswer: 98*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -3561*j. Let q(a) = 14*a**2. Calculate i(q(m)).\nAnswer: -49854*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20 - 11.5. Let z = -1.2 + t. Let l = -7 + z. What is the nearest to -1 in -1\/5, 1\/2, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 8*j**3 - 34 - 5*j**3 + 3*j**2 - 36 + 71 - 6*j + 20*j as f*j + m*j**2 + w + l*j**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that 10*o**3 + 297668*o**2 - 357214*o + 59536 = 0.\nAnswer: -29768, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-8)\/140 + 592\/560. Solve -x + r = -s + 9, 4*x + 8 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3939\/5248 + -3\/5248. Which is the nearest to -0.1? (a) 0.11 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -1 - 23 - 5*q + 38 - 24 - 13. Let h(z) = 1 + 2 - 2. Let t(l) = 2*h(l) + j(l). What is the first derivative of t(i) wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -16 (c) -0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + k = 91, -2*k + 50 = 7*i - 5*i. Let t be (102\/(-24) + 5)\/(2\/176). Calculate the highest common divisor of i and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 18 = 3*i, -2*i - 13 = -5*b - i. Let z be (-9)\/(-6) + b\/6. Suppose -n - 3*u + 8 = 0, 2*n = -z*u + 9 + 7. Sort 0, n, -2, 2 in descending order.\nAnswer: n, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.26? (a) -5 (b) 0.7607 (c) 0 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 147*j**3*l*o + 86*j**3*l + 2*j**3*o - 2*j**2*o - 3*j*l - 4577*o wrt l?\nAnswer: 147*j**3*o + 86*j**3 - 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 - 7*a + 9. Let x be ((-99)\/((-1089)\/308))\/(-7). Let p(t) = -3*t**3 - 3*t + 2*t**3 + 5 - t. Give x*g(v) + 7*p(v).\nAnswer: -3*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) 1\/9 (c) -0.3 (d) 27 (e) -69\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v**3 - 6*v**2 - v**3 - 4*v - 3 + v**2. Let r(a) = -a**3 - 2*a**2 - 2*a + 2. Let m be r(-2). What are the prime factors of w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 25\/133 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 385*s - 401. Determine d(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 112079927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - 22 - (2 + (3 - 4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f + 0*f + 118 + 0*f. Let r be 0\/(-3)*1*1\/(-2). Does 22 divide z(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.18 - 0.32. Put -8, 2, l in decreasing order.\nAnswer: 2, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, q: 2, a: 3, b: 1, u: 2, f: 1}. Give prob of sequence fuaw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 29 times 5768.8\nAnswer: 167295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18880536*g - 4 + 18880536*g + 2 + 2 + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are -18321 and -18321 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1 + 0)*(0 + -3). What is the units digit of (-2)\/l - 366\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6720*z + 6463*z - 10255*z)*(-3*z - z + 2*z) - 4*z**2 + 4*z**2 - 13*z**2 as x + h*z**2 + u*z and give h.\nAnswer: -5869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*j + 635 = -11*j - 355 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, -584.3, 3.\nAnswer: -584.3, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -4*f**2 - 138*f + 403. Calculate v(-38).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) -0.27 (b) 50201 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 196.8 + -197. Let p = 2 + -1. What is the closest to -0.2 in 1\/4, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 4993568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -b - 4. Let p be 2\/2 - (-28)\/2. Let x = p + -11. Calculate the greatest common divisor of b and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, j: 2, a: 6, r: 2, e: 4}. Give prob of picking 2 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -218a (base 15) in base 8?\nAnswer: -15701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.38 - 0.28. Let v = 1.1 - i. Let m = -0.8 - -0.3. Which is the nearest to v? (a) 3 (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15 and 1605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*a**2 - 13*a**2 + 1 - 9*a**2.\nAnswer: -20*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 623522.2 decades in years?\nAnswer: 6235222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the third derivative of -x**3\/6 + 6*x**2. Let f = 3 - 1. Let t(q) = -2*q + 2. Calculate f*n(j) + t(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the third derivative of f**4\/24 - 7*f**3\/6 + 152*f**2. Give j(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -17391 divided by -5797\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 84 + -7?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 8 = -3*l + 5*s, -4*s + 3 = -5*l. Let g(j) = j**3 - 6*j**2 - 7*j + 2. Let k be g(7). Suppose 2*y - 15 = -3*b, 7*b - 4*b - 3 = 2*y. Sort l, y, k.\nAnswer: l, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 793356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -1\/9 (b) 1079 (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 28 + 3)*(-82*g**4 - 3*g**4 + 149*g**4).\nAnswer: 1536*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000077480887 to seven dps.\nAnswer: 0.0000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(3\/2)*q)\/q)\/q)\/q**(-1\/4)*q\/(q**(-4\/9)\/q*q)*q\/q**3 assuming q is positive.\nAnswer: q**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -7*n - 6. Let b(q) = -6*q - 5. Let o be -3 + (-6)\/(-1) + -1. Suppose d + 9 = -2*c, o*d - 3 = -d. What is c*b(f) + 4*g(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7065077 or -7065078?\nAnswer: -7065077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1708 = 5*x - 4*k, 4*x + k - 1018 = x. Suppose -4*b + x = -4*j, -b = b - j - 167. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -118558295\/1012 + 1298126\/11. Let a = -859 + m. Let w = 169.6 + -170. Sort w, a, -5 in decreasing order.\nAnswer: a, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -10039 (base 12) to base 7\nAnswer: -114405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(((h*h**(-1))\/h*h)\/h))\/(h\/h**(-1\/2)*h))**(-49)\/((h**(1\/2))**(-6)\/((h**(-1\/2)\/h)\/h)**(2\/11)) assuming h is positive.\nAnswer: h**(595\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the third derivative of -7*j**5\/5 + 256*j**2. Let z(u) = -u - 3. Let m(h) = -2*h - 8. Let v(y) = 3*m(y) - 8*z(y). What is s(v(t))?\nAnswer: -336*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from ooooooooooooyoooooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 203*n*z**2 + 3*n*z - 27630*n - 2*z**2 + 19*z - 384070 wrt n.\nAnswer: 203*z**2 + 3*z - 27630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -10b (base 16) to base 9\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -31*z**3 - 11*z. Let y(c) = -6*c**3 - 2*c. What is 2*q(f) - 11*y(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -175*v + 4960406 = 34*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9702565 centuries in millennia?\nAnswer: 0.09702565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1424 - -2148. Let o be n\/30 - (-14)\/(-105). Calculate the greatest common factor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-6))\/((-26)\/585)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -0*a + 135. What is the remainder when a is divided by -14 - -25 - (-2)\/4*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r = 18*r - 44. Let u = 87 - r. What is the units digit of 3\/(-9) + u\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.09 (b) -3 (c) -533110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 143, -30, -321, -730?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 109121, 109102, 109061, 108992, 108889, 108746?\nAnswer: 108557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 212 = 37*v - 47. Suppose 2*m = -3*m + 15. Suppose 3*f = m*d - 13 - 14, -4*f - 26 = -2*d. Calculate the remainder when v is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 PM and 6:01 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(102)\/((sqrt(6) + sqrt(6) + sqrt(216))*2) + 3 + 4*sqrt(2448).\nAnswer: 3 + 769*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 4 = x. Factor -8*r + 12*r**4 + 31*r**2 - 23*r**x + 8*r**3 - 20*r**2.\nAnswer: 4*r*(r - 1)*(r + 1)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 + 6*n + 5. Let t be (-1)\/3 + (-28)\/6. Let p be o(t). Let s = -0.2 + 0.7. What is the biggest value in p, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -2*m + 1. Let x be t(1). Let y = x - -4. Suppose -y*f + 12 = -0*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/7, 4, -2781, 5, 7\/10, -1\/2?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -8*l**3 + 6*l**2 + 6. Suppose -563*k + 36 = -569*k. Let o(p) = -9*p**3 + 7*p**2 + 7. Let w be 0 + (-30)\/(-3) + -3. Give k*o(a) + w*s(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, 15, 3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 10*s**2 - 15*s + 20. Let q(b) = -b**2 + b - 1. Let l(h) = -k(h) - 20*q(h). What is the second derivative of l(j) wrt j?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1010098171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2 + a855575?\nAnswer: a855573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -3*c**2 + 18. Let k(m) = 33*m. Calculate b(k(x)).\nAnswer: -3267*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -8*p**4 - p + 3*p**4 + 26 - 28 - 3*p**3 in the form r*p**3 + z*p + k + c*p**4 + q*p**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 3:34 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1086785836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**2 + 5*x**2 - 4*x**2)*(-35*x**2 - 392*x + 392*x).\nAnswer: -70*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 175 divide 392682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1443141\/4 at least 360785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2.8 - 1.8. Which is smaller: v or 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1173*b**3 + 2*b - 301?\nAnswer: 7038*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = r - 5, 3*a = -162*r + 167*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 269*l - 14076 = -2*n + 271*l, -l + 35136 = 5*n. Calculate the least common multiple of n and 7029.\nAnswer: 7029","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.04 times 111284\nAnswer: 4451.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -83 - -91. Is ((-4)\/m)\/(3\/(-3678)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 358, 888, 1856, 3268, 5130, 7448?\n\"Answer: k**3 + 213*k**2 - 116*k + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1860208*x**6 + 1609029*x**2?\nAnswer: -223224960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1056702.78s to days.\nAnswer: 12.23035625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 4, x: 1, t: 1, b: 2}. What is prob of sequence zz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -1630333 divided by -88?\nAnswer: 1630333\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 10 = 2*n, -n - 3*q + 6 - 21 = 0. What is the second biggest value in n, -3\/8, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes after 4:24 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**6*f*(f\/((f*f\/(f*((f*((f\/f**(5\/7))\/f)\/f*f)\/f*f)\/f))\/f*f*f))\/f*f)\/(f\/f**(-1\/21)*f*(f*f**20)\/f*f) assuming f is positive.\nAnswer: f**(-352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -12119656 divided by -6?\nAnswer: 6059828\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*z = -70*z + 11*z - 1716 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1241980 (base 12) to base 15\nAnswer: -4a7a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -2*m - 37. Let q be f(-22). Suppose -y = 4, 5*z + 5*y = 42 - q. Suppose z*x - x = 6990. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-36)\/16)\/(60\/32))\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3055, -6203, -9341, -12463, -15563, -18635?\nAnswer: -21673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 383730496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-30)\/(-2) + (1 - (0 - -1)). Let s = -2.5 - 1.5. Let t = -8 - s. Which is the third biggest value? (a) 0.2 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 834 is divided by 220.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12839 - 12776. Calculate the lowest common multiple of k and 591.\nAnswer: 12411","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0610026716 to 4 dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -33, -18, 49, 204, 483, 922, 1557?\n\"Answer: 6*w**3 - 10*w**2 + 3*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/117, 0.1, 64.\nAnswer: -2\/117, 0.1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 2*h + 8 = 0, 0 = -5*d - 3*h - 7 - 15. Let k be (-14)\/d + 1\/5. Suppose -3*b + 12 = -k. What is the remainder when 9 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 383803 is divided by 7107?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l**2\/8 - 12585*l\/8 + 31425\/4 = 0 for l.\nAnswer: 5, 4190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**2 - 10*t + 11. Let b be m(8). Let g be (2\/b)\/(1\/(-5)). Differentiate -2*z**4 - g + 3 + 2 wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2 - 10*z - 25. Let v be o(12). Sort -2, 5, 16, v in descending order.\nAnswer: 16, 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 79.07718m?\nAnswer: 79077.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -236 - -272. Suppose -r*l + 64 = -28*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(153) + 1*sqrt(153)*-1 + sqrt(153))\/(2*sqrt(324)))**2.\nAnswer: sqrt(17)\/6 + 161\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -810 + 143. Let k = i + 396. What is k rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -132, -494, -1088, -1914, -2972, -4262?\nAnswer: -5784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*s**3 + s**3 - 6*s**3 + (3 + 2 - 4)*(4*s**3 + 0*s**3 - 2*s**3) to the form v*s**2 + d*s + u + w*s**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*c + 657 = -200 - 12. Calculate the remainder when 4423 is divided by c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/2*(-1)\/1. Suppose 4 = -2*i + i + 3*f, -5*f = 2*i - 25. Solve h + j*h = i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + -3 - -5)*-6. Let x(m) be the third derivative of -m**6\/120 - m**5\/5 - m**4\/8 - 7*m**3\/6 + m**2. Does 29 divide x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - a = -4*l + 270, -2*l = 5*a - 667. Let c = 104 - 85. Calculate the highest common factor of a and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -80, -57, -16, 49, 144?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.502 - -72724.258669.\nAnswer: 72724.760669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 259 and 9509.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.30472045 less than -5?\nAnswer: -4.69527955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -9435007*r - 104. Let q(p) = 4717505*p + 52. Let z(t) = 6*i(t) + 11*q(t). Let c be z(4). Round c to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -322, -1922, -4802, -8962?\n\"Answer: -640*t**2 + 320*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 d, and 2 f when four letters picked without replacement from tgdtfttfdttuf.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/x**(-21)))\/x*x*x\/((x*x\/(x**(-5\/7)*x)*x)\/x))\/(x**(5\/11)\/x)**(2\/17) assuming x is positive.\nAnswer: x**(-28340\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 96 divide 9789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*a - 271381 = -151904 + 161803. Is 51 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 97 and 4?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 10, w: 2}. What is prob of sequence tt?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36 - 35.8. Let d = 0.2 + 0.3. Let n = 0.2 - d. What is the second smallest value in 5, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) 3\/4 (c) 2\/2279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 1189*s + 7169. Calculate l(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 + -36 - (-2 + -11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -36538 - 9?\nAnswer: -36547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17*y + 9*y - 2*y)*(-y + 2*y + 2*y).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -x - 3 - 0, 0 = 3*c - 2*x - 13. Let j be -11 - -9 - (-10)\/c. Let f be ((-2)\/j)\/(3\/(-12)). Let g(o) = o. What is g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 109*y - 52*y - 79*y + 2*y - 6*y + 0*y + (4*y + 0*y - 2*y)*(0 - 1 + 2) - y + 2*y + 0*y + 3*y - 6*y + 2*y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 1376*i - 15. Let w(t) = -t. Determine j(w(d)).\nAnswer: -1376*d - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*b**(-12)*b*b))\/(b*b*b**(3\/4))*(b\/b**(-10))\/(b\/(b\/((b**(-2\/7)*b)\/b)*b)) assuming b is positive.\nAnswer: b**(547\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -465829 (base 12) to base 3.\nAnswer: -2010101110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*u**2 + 1825*u**3 + 5*u**2 + 1816*u**3 - 204*u - 3642*u**3.\nAnswer: -u**3 - 204*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 12130817 or -3\/4?\nAnswer: 12130817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -0*w - 10. Factor -4*x**2 - 3*x**2 - 12*x - 12 + 4*x**w.\nAnswer: -3*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -865507704 divided by -36062821.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.3*1.3\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-216)\/(-476) + (-4)\/(-34) - (-3)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 99 - 50. Let w(h) = 9 - l*h - 1 + 48*h. What is w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10*f**4 - 31*f**3 + f**2 - 254*f.\nAnswer: 120*f**2 - 186*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 + (-12)\/(-8))*88. Is 7\/(11\/p*(-4)\/97) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 38.7128 kilograms?\nAnswer: 38712800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 416 and 8506.\nAnswer: 3538496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 15) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 126*z = 122*z - 16. Let u = -28 - -32. Let o be (2\/u)\/(1\/8). Sort o, -23, z in descending order.\nAnswer: o, z, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.93 + 0.07. Let c = -4 + 3.92. Let z = c - 0.12. What is the closest to z in l, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 123922*f**5 - 102362*f?\nAnswer: 2478440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 36.34956 tonnes to milligrams.\nAnswer: 36349560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 3)*(0 + 1 - 2)*(60*f - 60*f + 11*f**2).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -612 - -992. Calculate the least common multiple of 45 and y.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2734 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4616821943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1866 divided by -4\nAnswer: -933\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 2*v - 0*c - 3*c, 3*v - 3*c + 9 = 0. Suppose -2*z + 4*m + 19 + 39 = v, -z - 2*m = -25. Calculate the remainder when 160 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 845 - 497. Suppose 0 = -5*j + c - 88. Is 36 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27.3 + 80.7. Let z = 108.04 - v. Which is the closest to -2\/5? (a) 0.3 (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -50 (c) -2 (d) -4.5 (e) -3\/10 (f) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28\/(-24)*-4)\/(6\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6105*s**2*y**3 - 2*s**2*y**2 + 15*s*y**5 - 12*s*y**2 + 3*s + 7*y**2 - 11 wrt y.\nAnswer: 36630*s**2 + 900*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*f - 26 + 1 + 25.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4366111 divided by -2.\nAnswer: 4366111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m - 4*s - 16, 2*m = -s + 4*s + 6. Suppose 0 = -3*t - 2*t. Let d(q) = -q**2 - 4 - 3 + t - 1 + 8*q. What is d(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1148098*m + 1943870?\nAnswer: 1148098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a - 2*b - 4, -131*b = 3*a - 130*b - 10. Suppose -78 + 76 = -2*s. Solve -u - 3*l = -2, 0 = -u + 2*l + a - s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) -5 (c) -2\/13 (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 7, -32, -73, -116, -161?\n\"Answer: -l**2 - 36*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-181)\/(12489\/(-2898)) + -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1843890776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -2*d**2 + d - 5. Let h(z) = -z**2 + z - 4. Let b be (8*9)\/(7\/14*-2). Let v = -76 - b. Give v*h(c) + 3*x(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 + 8. Suppose -2*j + 0*g + g = -x, 0 = -2*j - g + 6. Let w(v) = -7*v + 1. Let n be w(-1). Solve j*b = 4*b + n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -71 at most -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*c - 123113 = 224897. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25170, 25176, 25182, 25188, 25194, 25200?\nAnswer: 25206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 771276588 a multiple of 4643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of -4 + 3\/2*l**2 + 0*l**3 - 1\/5*l**5 + 0*l**4 + 0*l. Find the second derivative of p(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 329582 and 35926?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 - 2)\/1*1. Suppose o = 0, 4*z + 0*z - 2*o - 116 = d. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 221*q**2 + 867*q.\nAnswer: 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d + 11. Let j be t(5). Solve 0 = -3*z + 6*z - j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150 divided by -6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 4, 401, -2, -3 in increasing order.\nAnswer: -4, -3, -2, 4, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-3) + 2\/(-3). Suppose -4*y = -y - 3*h - 24, 4*y = 2*h + 40. Solve 8*o - 5*o + y = f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 60612 and 10102.\nAnswer: 60612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20955 is divided by 3490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -0.072 (c) 0.9 (d) 5 (e) 1\/9 (f) -58\/5 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the second derivative of -11*n**6\/720 - n**5\/120 + n**4\/12 - 2*n. Let q(z) be the third derivative of j(z). Is q(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33.6 + -30.6. Let l = -5 + 5.1. What is the nearest to l in 0.07, -0.1, a?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*d = 21*d + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jyjyyy. Give prob of sequence yjjy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-46)\/115*5\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 45004667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 m, and 1 y when three letters picked without replacement from wypaymx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-2)\/(-3))\/((-4)\/6). Do y and 2\/1371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/4*l**5 + 0*l**3 + 3\/2*l**2 - 3\/4*l + 0 - 3\/2*l**4.\nAnswer: 3*l*(l - 1)**3*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*-2*1)\/sqrt(9).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-16 + 7 - 22)*(1 - 1 - c**4) - 4*c**4 + 7*c**4 + 3*c**4 in the form l*c**2 + g + k*c**4 + q*c**3 + p*c and give k.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**3 - a**2 + a. Let g(z) = -5*z**3 - 4*z**2 + 2*z + 10. Let h(d) = -g(d) - 6*t(d). Give h(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 835.8793 kilograms in nanograms?\nAnswer: 835879300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3*f - 480. Let r = 2951383\/24136 - -15\/3448. Let a = f - r. Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.071 - -0.129. Let l = -1.9 + 2. Let v = -7 - -4. Which is the closest to f? (a) 2 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4525598*u = -l - 4525602*u + 57, 746 = 18*l + 2*u for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 2377998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 + 50*t**2. Let c be x(50). Factor c + 1\/2*n**2 - n.\nAnswer: n*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-31*a**2 + 19*a**2 - 11*a**2)*(-4 + 3 + 2) - 4057 - 18*a**2 + 4057)*(2 - 6 + 2) to the form p*a + w + k*a**2 and give k.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 + 1. Let p(o) = o - 5. Give -p(b) - 2*s(b).\nAnswer: 2*b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**(-3))\/((u\/(u**(-1)*u*u*u))\/u))**(-1\/34) assuming u is positive.\nAnswer: u**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s = 15*s - 1566. Let u be ((-29)\/s)\/((-2)\/(-3)). Which is the third biggest value? (a) -0.6 (b) -0.5 (c) -1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 3*i + 96 = 109, 5*i - 20 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from dddpgdddddgddgggd?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -2*j - j**2 + 3 - 2*j - 2*j**3 + 6*j. Let s be h(-2). Suppose 2*q - s = q. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.99885 - 0.00115. Sort -1, -9, q, 0.\nAnswer: -9, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 93.56337 and 113?\nAnswer: 19.43663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 2\/9 (b) -1 (c) -1\/8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 70.61587 weeks to seconds.\nAnswer: 42708478.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 221 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**3 + 10*x**2 + 10*x. Suppose -2*b - 2*b - 14 = -2*z, b = -5*z - 20. What are the prime factors of q(b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/2)\/(6\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -233*h**2 + 86*h**2 - 90*h**2 to the form v*h**2 + s + m*h and give v.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + 7951629?\nAnswer: 7951634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*r + 29 = -12*r - 6*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2) + -5*sqrt(2)*-5 - sqrt(12)\/(sqrt(54)\/sqrt(9)).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*z = -3*x + 11*z - 18, -4*z = -5*x + 3 + 48 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.1 + 0. Let w(f) = f**2 + 307*f + 8066. Let g be w(-29). What is the third smallest value in a, -0.5, -0.2, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 77\/(-33)*(-660)\/(-47432)*7\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-7))\/(40\/(-140))*0\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*u + 53*u = -231. Suppose -6*d = -23 + u. Calculate the common denominator of 61\/36 and 27\/d - (14\/(-24) + 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -79 - -79. Solve o = 4*f + n - 24, -n + 2 = 2*f - 3*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 6*p + p**2 + 0*p**2 + 2 + 5. Let v be n(-5). Solve v*u - 4 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 - (5 - (3 + 13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 278.96 + -29.76. Let s = 36.7 + 184.3. Let g = z - s. What is g rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 243032341 is divided by 121516165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -21\/3622? (a) -1 (b) 567 (c) -5\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -u**4*z - 4963*u**4 + 3*u**3*z + 2*u**2*z + 2*u**2 - 11*u + 28*z + 2 wrt u?\nAnswer: -24*u*z - 119112*u + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/91 - (-81)\/567?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 20962 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b + 6*b = 160. Let x be (-4 + (-65)\/b)\/(-3). What is the nearest to 2\/11 in x, -0.2, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 185 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6886\/(-42) + 5\/(-15). Let k = 164 + x. Which is the third biggest value? (a) 2\/15 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 2*u - 8 - 8, -4*u + 6 = 3*z. Suppose -u*o + 7 = -26. Let n(g) = -14*g**2 - 6*g - 14. Let v(i) = 5*i**2 + 2*i + 5. Determine o*v(t) + 4*n(t).\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*v = 3*y - 45*v - 44*v + 60, -5*y + v + 26 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**2 - 60*o + 843. Calculate w(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2672322, 2672320, 2672318, 2672316, 2672314, 2672312?\nAnswer: 2672310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 7:50 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -107301 - 0.09?\nAnswer: -107301.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-395)\/20*-10)\/((-39)\/4 - -11). Which is smaller: l or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -9*m - 32. Let t be p(-13). Let a(k) = -20*k - 89. Let q be a(-7). Calculate the highest common factor of t and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 125*d*i + d*x**2 + d*x - 209*d + 2*i*x - 4*x**2 + 2*x - 6487 wrt d?\nAnswer: 125*i + x**2 + x - 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 27 - 3. Let b be w\/2 - 45\/(-5). Suppose 5*o + 3*h = 23, -b*o - 4*h + 20 - 1 = 0. Solve o*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.687136mm?\nAnswer: 687.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 - -132024?\nAnswer: 132030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -51 - 14 = -13*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**3 + 4*k**2 - 10*k - 9. Let c be v(-6). Let s = c - -49. Suppose -t + s = t. What is the greatest common factor of t and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t - 1. Let a(r) = 5*r**2 + 20*r + 20. Let h(l) = 5*a(l) + 100*b(l). Let o(d) = -d. Determine h(o(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -41 times 14139.8?\nAnswer: -579731.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 9 - ((-18)\/27 + (7 - 634\/(-6)) + 15)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -573006*r + 2. Let s(o) = -2*o**2. Determine i(s(v)).\nAnswer: 1146012*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/37)*f)\/f*f**22\/f assuming f is positive.\nAnswer: f**(778\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11060 - 4157. List the prime factors of b.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -1\/13 (b) 87 (c) 3 (d) 11 (e) -1110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*r - 3 = -48*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2128 + 2282. Calculate the greatest common divisor of k and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2216\/3 in 308, 3\/7, -1\/4, 1\/8, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33.1*0.4.\nAnswer: 13.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 82 and 390689?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -8 (b) 0 (c) -1\/2 (d) -0.4 (e) -0.3 (f) 1542.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 15*l**3 - 18*l**2 - 11*l + 3. Let d(n) = -7*n**3 + 9*n**2 + 5*n - 1. Let g(r) = -13*d(r) - 6*q(r). Let b be g(9). Solve c + b = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -2 - 2 - 3*c + 12. Let b(v) = -2*v + 5. Calculate 8*b(k) - 5*x(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 67 = -3*g. Let w = g + 77. What is the least common multiple of w and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-38)\/8)\/(1\/(-4)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 50*q + 533738 - 1488747 - 1068391. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12991.6 + 9946. Round n to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 2262084752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 5*x**2 - 38*x - 7. Let r(s) = -11*s**2 + 76*s + 15. Let z(u) = -3*r(u) - 7*y(u). Let v be z(19). Solve -9*i = -v*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 1 + 10*c - 1 - 12*c + 2*c**2. Let q(j) = -j**2 + j. Let x(v) = -3*g(v) - 5*q(v). Calculate x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - -2. Let n be 4*(-88)\/288 + (-32)\/(-144). What is the second biggest value in z, n, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = o - 0. Let d(t) = t**2 + 2*t + 2. Let v be (-4)\/10 - 8\/5. What is the remainder when d(v) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 475 + 104. Let s = -575 - r. Solve s*b - 17 = 5*u, 2*b - 1 = -0*u + u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 56 (base 9) to base 15\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 12 + 1)*(-2*d**2 + 3*d**2 - 3*d**2).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 16091355 or 16091328?\nAnswer: 16091328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 3842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7328 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3.443731 seconds in microseconds?\nAnswer: 3443731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**2 - 6*z - 416.\nAnswer: 2*(z - 16)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of -6*b**3\/11 + 42*b**2\/11 - 98*b\/11 - 58. Factor f(w).\nAnswer: -2*(3*w - 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13517796500 rounded to the nearest one million?\nAnswer: 13518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 2*d. Let n(x) = -3*x**2 + 11. Calculate b(n(s)).\nAnswer: -6*s**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 426, 428, 430, 432?\n\"Answer: 2*w + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((sqrt(36)\/(sqrt(3)*2))\/(sqrt(12)\/(sqrt(3) + sqrt(75))) - (-2*sqrt(30)\/sqrt(10) - (-1*-2*sqrt(3) - sqrt(3)))**2).\nAnswer: -15*sqrt(3) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 9 + 5)*(-21*f + 42*f + 11 - 15*f).\nAnswer: 42*f + 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -82, 6, -2, -3, 0, -1 in increasing order.\nAnswer: -82, -3, -2, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 2 + 4)*(-2 - 4 + 3)*(2*y**2 + 5 + 4*y - 5)*(-2*y**3 + 0*y**3 + 0*y**3).\nAnswer: -24*y**5 - 48*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 54101402 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6642539 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*x**4 - 31*x - 9*x - 29*x**2 + 13*x**2 + 4*x**4 + 17*x**2 - 5 to y*x + n*x**2 + c*x**4 + m + p*x**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*l + 5*l - 4*l. What is the nearest to -1 in l, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 5)*(119*u**5 + 767*u**5 + 391*u**5).\nAnswer: 3831*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (-477)\/(-6)*(-4)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7, g: 11, j: 2}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-100)\/(-30))\/((-340)\/(-51)))\/((-4)\/88).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 4 + 2*i + 2*i + 0*i - i + (0*i - 2*i + i)*(2 + 1 - 1) + 5*i + 4 - 4 + i + i - 3*i + 0*i + 5*i - 3*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6095557*u + 6095618*u - 12191177*u - 40*u**2.\nAnswer: -40*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, n: 1, j: 3, m: 1, l: 2, d: 1}. Give prob of sequence ndjl.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 162315 (base 7) to base 13.\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 3*k - 708, x + 3*k + 0*k - 363 = 0. Suppose 348 - x = -l. Solve 1 = l*f + 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ur when two letters picked without replacement from gpmpguprgrgpgpr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 2 = l, 3*i - 2*l = -5. Let m be (-3 - (i + -2)) + 0. Let x be 6\/(-4)*m\/1. Solve x*s + 0*s = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the second derivative of -2*q**4 - q**3\/6 - q**2\/2 - 956*q + 1. Determine x(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.7 * 0.076\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 - 4. Let a be (-14)\/(-35) + (-2)\/f. Let s be ((-2)\/6)\/(5\/(-30)). Is s greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 200012 + -20102222001120?\nAnswer: -20102221101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1946 + 1974. Which is smaller: 63 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 45 - 1 - (-22)\/(-11). Suppose 6*v + v = k. Suppose -4*s = 4*m - 7959992, 2*s - v*s - 8 = 0. What is m rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 20012310332 (base 4) to base 6\nAnswer: 113314302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -273*s - 643. Is a(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-5 - (-123)\/27)\/((-32)\/24). Solve -7\/6*k**2 - 1\/2*k + 1\/2*k**3 + u + 5\/6*k**4 = 0 for k.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 12*i - 9*i - 451, -i = 27*m - 176. What is the remainder when i is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 - 2. Suppose 2*j + r - 5 = -0*r, -30 = -4*j + 2*r. Let f = j + x. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*d**5\/7 - 722*d**4\/7 - 724*d**3 - 12032*d**2\/7 - 64*d\/7 + 2560 = 0. What is d?\nAnswer: -140\/17, -8, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 - -25. Find the second derivative of 6*p**v - 10*p**5 + 3*p**5 - 6*p**3 - 2*p wrt p.\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 528.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -35 = 4*f - 3*y, -36*f = -33*f + y + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - -201211121120222?\nAnswer: 201211121120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u**3 - 2*u**3 + 2*u**3)*(2 - 3 + 22*u + 2).\nAnswer: 88*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 101001101 (base 2) to base 10\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xgmf when four letters picked without replacement from pfxmg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.001854 and 2136.\nAnswer: -3.960144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -14. Let q = -4 - o. Let s = 163\/21 + -52\/7. Which is the closest to s? (a) -2\/9 (b) 1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3365, -2, 0 in decreasing order.\nAnswer: 4, 0, -2, -3365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 16 = -3*g. Let u be 1\/(4\/6 + -1). Is g > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1481, -2220, -2949, -3662, -4353, -5016, -5645?\n\"Answer: h**3 - h**2 - 743*h - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 + 4*a**2 - 3*a + 1. Let u be g(2). Suppose 2*t - 22 = -2*x, 0*x + 4*t - 51 = -5*x. Suppose 0 = 4*b - u + x. Is b less than -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*k**2 + 1632 - 20*k**2 + 10*k**2 - 1413 to the form w + r*k**2 + u*k and give w.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 - 4. Let j(d) = d**3 + 12*d**2 + 12*d + 14. Let n be j(-11). Calculate the remainder when 18 is divided by q(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of -a**4\/4 + 10*a**3\/3 - 4*a**2 + 2. Is d(9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.01, 685, -826.3 in descending order.\nAnswer: 685, -0.01, -826.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -134.285162 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25 - 5*b + 7*b + 27.\nAnswer: 2*b + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -15.174 from -3734503.\nAnswer: -3734487.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the first derivative of c**3\/3 + c**2 + c + 11. Let v be (-3)\/(-1) - (0 - 1). Is t(v) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 353114893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*u - 19*u + 36*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 4*d - 79, -u + 5*d - 4 = -12. Suppose 3*q - u = m, m + 4*q + 108 = -4*m. Is 50\/(-3)*7\/(35\/m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 572.3 rounded to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t + 1. Let l(w) = w. Let d(x) = -13*l(x) + 6*r(x). What is d(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -971 - -980 - (-2 - 22)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -26 + -315a?\nAnswer: -3182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.9999892 - -2. Round x to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 120*q**4 + 48*q**3 - 6*q**2 + 22*q. Let l(w) = 17*w**4 + 7*w**3 - w**2 + 3*w. Let f(o) = 44*l(o) - 6*r(o). Solve f(h) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12.60448 rounded to two dps?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 - 11*u**2 + 11*u - 3. Let n(s) = s**3 + s**2 + s + 10. Let m be n(0). Let f be c(m). Let x(t) = t**3 - 7*t**2 + t + 2. Is 9 a factor of x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, x: 1, h: 2, r: 1, v: 1, b: 1}. What is prob of sequence vb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 243104 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l**2 - 2*l**3 + 3*l**2)*(-5*l**2 + 5*l**2 - l**2 - 4*l).\nAnswer: 2*l**5 + 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8463 = 18*x - 4983. List the prime factors of x.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 146474 and 146475 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b - 4. Let r be i(6). Suppose 0*v + 4*y = r*v - 24, -2*v + y + 9 = 0. Suppose -5*n + 3*n + 20 = 0. What is the lowest common multiple of v and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**3 - 8*o**2 + o - 4. Let g be d(8). Let s = 7 - g. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8445 by 8445.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 990392 is divided by 198077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4 + 1 - (-24)\/(-8). Let w = 0.2 - 0.5. What is the nearest to l in -5, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -195 - 212 + 408 + 23*c.\nAnswer: 23*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 956267348 and -0.01544?\nAnswer: 956267348.01544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -15*v**2 - 10*v + 5.\nAnswer: -5*(v + 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.376 - 0.976. Sort a, 0.2, -73, 1.\nAnswer: -73, 0.2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.550276 - 187782?\nAnswer: -187781.449724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.15 - 6.85. Let t = v - -2. Suppose 0*i - 5*i = 0. Which is the second smallest value? (a) -3\/8 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -19 - 900\/135 - (-16)\/(-3)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 2*a. Let n be (a - -55)*88\/55. Suppose 3*x + 25 - n = 0. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2 - 4\/8)*-2. Solve -5*x = -6*x - w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 601413206*g**5*n + g**2*n + 2*g*n + 173*g + 15510*n - 5 wrt g?\nAnswer: 12028264120*g**3*n + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 32 - 95\/3. Let w(n) be the second derivative of 0*n**2 - l*n**3 + 2*n + 0. Let u(q) = -q**2. Determine w(u(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + -1 + 5 - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 PM and 1:13 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1484423 is divided by 1041?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 2826 divide 38530437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 2 * 118.8\nAnswer: 237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -30471 by -1114.\nAnswer: 30471\/1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-35)\/(875\/145)*(-14 + (-195)\/(-13))?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 3248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-1 + sqrt(245) + sqrt(245) + -1*sqrt(245) + 0).\nAnswer: -7*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -35 by 35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be 35*(3 + -2)*-1. Let f = -247\/7 - c. Let l = -3.1 + 4.1. What is the biggest value in l, f, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2997.679 * 0.4.\nAnswer: -1199.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -60\/17, 4, 0.4, 3, 14 in ascending order.\nAnswer: -4, -60\/17, 0.4, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 42593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -53502141 (base 6) in base 13?\nAnswer: -433942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 + 4*t**2 - 2*t - 2. Give l(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3.269562 months?\nAnswer: 0.2724635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (16 + -12 + (-3 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*m - 12*m + 295140. Suppose -4*h = -3*k - k - m, -3*h + 73785 = k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(-2)\/(-10)*415\/(-166).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -1*sqrt(112)*-5 - (1 + 2*(-1*sqrt(847) - sqrt(847))))**2 + -1.\nAnswer: -384*sqrt(7) + 28680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3908252680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 34516085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 24130316 and 5170782.\nAnswer: 72390948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/675 and -22\/77025.\nAnswer: 693225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13977.188 - 13977. Which is the closest to 1? (a) 0 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -6*k**2 + 180*k - 175. Let u be g(29). Is -3520 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 8, -2\/9, 244, 34, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 396534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 416869403?\nAnswer: 29, 163, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -g**3 + 2731*g**2 - 91731*g + 89001 = 0.\nAnswer: 1, 33, 2697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 - y - 1. Let h(n) = -1490*n**3 - 12*n**2 + 10*n + 10. Give h(z) + 10*w(z).\nAnswer: -1490*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -3 + sqrt(68))*4*-5.\nAnswer: -40*sqrt(17) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2 + 476*i - 2405.\nAnswer: (i - 5)*(i + 481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 69 - 19 = -5*f, -3*f = 2*o - 14. Suppose -9*u - 360 = -o*u. What is the greatest common divisor of u and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002878109 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add 1.9 and 306.879071.\nAnswer: 308.779071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -875789, 1.\nAnswer: -875789, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be (9\/12)\/((-30)\/12). Let j = -3 - -5. Is j equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-3)*(-10 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 22*o**2 - 4*o - 6. Let t be m(-1). What is the highest common divisor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 546386 - 372307. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 20*w**3 + 4252*w**2 + 64936*w - 26656.\nAnswer: 4*(w + 17)*(w + 196)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 3668*k**3 - 20203336*k**2 + 27819960624*k + 60676128 = 0.\nAnswer: -2\/917, 2754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -3.1 and -7843.\nAnswer: 24313.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 960*r**2 - 3*r + 3*r.\nAnswer: 960*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-9) - (-14441)\/63. Let s = l + -148. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 105 divided by 12902?\nAnswer: 105\/12902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 PM and 4:14 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -880*r + 466*r + 438*r. Let g(y) = -2*y. Determine a(g(c)).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ypspyippiyi. Give prob of sequence spi.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 6*g**2 + 8*g - 10. Let z(p) = p**2 - p + 1. Let c(m) = w(m) - 2*z(m). What is the hundreds digit of c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2230, -4406, -6616, -8878, -11210, -13630, -16156?\n\"Answer: -3*o**3 + o**2 - 2158*o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 1*sqrt(272) - ((2*sqrt(136))\/sqrt(8) + (sqrt(1088) - (sqrt(1088) + (2*sqrt(1088))**2))).\nAnswer: 2*sqrt(17) + 4347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10416 - -821.\nAnswer: -9595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 245641.\nAnswer: 11, 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 34 + -24. Suppose -j + 5*l = 3*l - 12, -2*l - 2 = 4*j. What is the highest common factor of a and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of 28*r**3\/3 - 310. Let v(s) = -12*s**2. What is a(v(k))?\nAnswer: 4032*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29.11 - -29. Are t and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 272 = -300 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w + 2. Let b be r(5). Let k be b + 1 + 0 + -2. Let m = k - -8. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 394174582189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*x + 3 + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -16573 divided by -739\nAnswer: 16573\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -48 in 0.04, -2\/19, 801?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1876\/(-10))\/(110\/(-50) + 2). Let b = h - 858. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -3*d - 27. Let j be w(0). Let k = 18 - j. Suppose -5*m + 5*i + k = 0, -17 = -0*m - 5*m - 2*i. Solve -5 = -5*n + m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7836752 or 7836758?\nAnswer: 7836752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 17 (b) 3.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 42 + 22. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/40 and 93\/6328.\nAnswer: 31640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o + 10 = 3. Let m(h) be the second derivative of 10*h**4 - h**3\/2 - h**2 + 8*h. What are the prime factors of m(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**3 + 16*x**2 - 21*x - 43. Let d be r(-17). Suppose 2*s - 5 = 4*f + d, -s + 4*f + 25 = 0. What is the greatest common factor of s and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -124031*q**3 - 649*q + 20 wrt q.\nAnswer: -744186*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17793 + -17292. Which is the closest to 2? (a) o (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -9839574, -9839556, -9839538, -9839520, -9839502, -9839484?\n\"Answer: 18*i - 9839592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43026198.\nAnswer: 2, 3, 29, 107, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of i**2 + 119. Let h(r) = 6*r - 1. Give c(h(t)).\nAnswer: 12*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4169397ml to litres.\nAnswer: 0.0004169397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 2*y - 358, 4*i - y + 1411 = -0*i. What is the remainder when 125 is divided by (i\/33)\/((-2)\/6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2.1 and 31?\nAnswer: 28.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-68)\/68*(-186)\/20*(-8)\/6\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 4*s + 4. Let c be 4\/(-13) + 108\/13 + -4. Let a be ((-1)\/(-2) + -1)*-10. Let k(h) = -4*h - 3. What is a*k(v) + c*b(v)?\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**2 + i + 18. Let y(f) = -2*f - 4. Let z be y(-2). Calculate the remainder when 69 is divided by x(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 351 - -15626?\nAnswer: 15977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 379 is divided by 67.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m - 4. Let b be t(4). Suppose 4*j + 238 + 98 = b. Is 4 a factor of ((-2)\/3)\/(8\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/1702 and 1\/274160?\nAnswer: 10143920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53329769.\nAnswer: 53329769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 5*r. Let i be u(-3). Let o be ((-162)\/6 + 31)*-4. Is o smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -594 > -1185\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 1944*h**2 - 1407*h**2 - 47*h + 4942*h**2 + 30*h + 19*h - 4 as s + x*h**2 + a*h and give x.\nAnswer: 5479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010010001111 - -10110?\nAnswer: 11010010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is m in -m**3 + 320146*m**2 - 7042849*m + 38735004 = 0?\nAnswer: 11, 320124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -94 divided by 6?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 102957671 or 102957668?\nAnswer: 102957671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 128, 5, -1, -5, 1 in ascending order.\nAnswer: -5, -1, 1, 5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 46099 + -46102. What is the fourth smallest value in -5, 1\/2, m, -1\/3536?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - j = 11, p = 41*j - 38*j. What is the nearest to p in -3, -35, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 971*g**2*n**2*q**3 + 10*g**2*n*q**3 - 3*g**2*n - 2*n**2*q + 692*n*q - 2*q**2 + 3 wrt q.\nAnswer: 5826*g**2*n**2 + 60*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 22 - 22013323?\nAnswer: -22013301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -7 (b) 1 (c) 12 (d) -1 (e) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 40*w**2 + 206*w + 65. Calculate z(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2458 = -2*v - 562. Calculate the highest common divisor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 731205303.\nAnswer: 3, 73, 97, 34421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 288 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 2)*(11 - 11 - 3*w)*(-6*w**2 + 3*w**2 + w**2).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**3 + 6*s**2 + s - 30.\nAnswer: -(s - 5)*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*r + r - 2*r)*(3*r - r - 4*r) + (1 + 2*r - 1)*(-4 + 4 + r) + r**2 - 3*r**2 - r**2 to f*r + s*r**2 + z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 507 + -497. Let j = -37 - -57. Calculate the lowest common multiple of m and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 498 is divided by 153?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, 0.0655, 1, 0.4, -2\/7.\nAnswer: -2\/7, 0.0655, 0.4, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*c + 5*j - 57, -31*j + 5 = -30*j for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 34.2, -4, -2\/13 in decreasing order.\nAnswer: 34.2, 3, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 73 = -t, -4*s + 5*t + 240 = -48. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 + 1 + 11)*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -5*r**3 + 2*r**2 - 235*r - 706. Let x = -13 + 45. Calculate the remainder when s(-3) is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 294134 by -11.\nAnswer: -294134\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from bvvbbggvbgvwvbwwfv.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -9574*d + 9577*d - 5*x + 5 = 0, 0 = 2*x - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21 + (34 - 29 - 18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -97.081 * 0.046\nAnswer: -4.465726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1190699?\nAnswer: 1190699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 2 x when four letters picked without replacement from xxxxxdxxxxxddxdxdx.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*c = -24*c + 198 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 277777 take away -27172.75?\nAnswer: 304949.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1634)\/(-8987)*22\/(-28).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {u: 2, v: 4, b: 1, x: 1, h: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 3 = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of 0*o + 0*o**3 - 1\/4*o**5 + 0 - 5*o**2 + 0*o**4. Let a(g) = -g. Let f(z) = -2*z. Let j(h) = -a(h) + f(h). Determine t(j(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 357139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26880 is divided by 83?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes after 1:27 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -33 = 4*y - 5*t, 3*y + t - 5*t + 26 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v. Let h(w) be the third derivative of -4*w**4\/3 - w**3\/3 + 1631*w**2. Calculate h(c(l)).\nAnswer: 64*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*((-5)\/(-30) - 4\/6). Sort -5, i, -4, 3.\nAnswer: -5, -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2 + (-3)\/(-6))\/((-1)\/2102) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85.25712 litres in millilitres?\nAnswer: 85257.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*a*i**2 - 967125*a + 19*i**4 - 3446*i**3 wrt i.\nAnswer: -8*a*i + 76*i**3 - 10338*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1066809760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2190, 2196, 2206, 2220?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-43)\/(6 + -2 + -5). Suppose 0 = -6*t + 7*t - r. What are the prime factors of t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggoogogogggggggggg. What is prob of picking 4 g?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-24))\/(33\/66)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 193 = 4*u + 5*o - 0*o, -u + 2*o = -58. Let z = u - 51. Solve -2*b = -7 - z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 3*u + 4 = 0, -3*n - 4*u + 32 = u. Suppose b - 339 = n*b. Let v = -36 - b. Is v 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 1341875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**2 + 6*j + 7. Let c be i(7). Suppose -2*v = -4*a + 8, 0*v - v = -a + 2. Solve v = -c*o - o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 218 + -393. Let p = -217 - m. Is 0 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.8 and -1.63.\nAnswer: 2.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7296863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 27 - 2 = 5*u, -f - 3*u + 15 = 0. Suppose -o + 5*o = f. Solve 2*j = b - 2, 5*b + o*j = -j - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6294 + 10181. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(12)\/sqrt(6) + -2 + (sqrt(8)\/sqrt(4) + -1 - (-4 + (sqrt(2) - sqrt(8)\/sqrt(4))))**2)*1 + 0.\nAnswer: 7*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let g be (-28)\/42 + (5\/(-3))\/(-1). Let p(i) = 27*i - 1242. Let x be p(46). Solve 5*w = 20, x = -3*k - w + 5*w - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 5 = -2*m, -k - 2*m = -58. Let s = k + -72. Let i(q) = 2*q**2 + 21*q + 5. Let u be i(s). Let p(y) = y + 12. What is p(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3018832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 6*j = -5*g + 63, -3*j = -3*g + 45. Suppose 25*n + 9*n + 17*n = 0. What is the closest to -2\/11 in 5, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the second derivative of n**6\/120 - n**5\/6 + 13*n**4\/24 - 3*n**2 + 2*n. Let s(l) be the first derivative of i(l). List the prime factors of s(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6696826301\/995934 + 16\/165989. Let t = 6743 + f. Find the common denominator of 46*(2 - (-10)\/(-8)) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j + 14. Let v be g(13). Let h(p) = 28*p + 4. List the prime factors of h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 6*b**2 + 6*b**2 - 3*b**2 - 2*b**2 as f + n*b + s*b**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -113\/42 and 87\/18956.\nAnswer: 56868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 - 11*x + 3. Let a be y(-11). Let c be 1\/((-2)\/(-16)) - a. Let v(m) = -80*m + 10. Let o be v(c). Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u**3\/3 + 43670*u**2\/3 - 873700*u\/3 + 4369000\/3 = 0 for u.\nAnswer: -43690, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 11, -1, -3, -5\/6, -126, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2218, -4353, -6486, -8617, -10746, -12873, -14998?\nAnswer: -17121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -190*c - 6241. Determine h(-33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 104322272 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 15*x**2 + 328*x - 90. Is w(-83) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**2 - 3. Let y be j(0). Suppose -7 - 2 = 3*a. What are the prime factors of (-49)\/y - a\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -62*n - 40. Let g be u(-8). Let l = g + -236. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 24.268002 hours?\nAnswer: 1.01116675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxxlxxllxlxexllxl. What is prob of sequence exlx?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.812 - -7.188. What is the second smallest value in 4, 2\/9, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 5*a + 5. Let g(m) = 5*m + 6. Let r(u) = 2*u**3 - 4*u**2 + 3*u + 4. Let c be r(2). Suppose 58*b - 60*b = -c. Give b*g(z) - 6*d(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 2.5. Let l(n) = 9*n - 116. Let f be l(7). Let m be (2\/18)\/(f\/159). Put d, -8\/9, m in descending order.\nAnswer: d, m, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1092 = -1911*n + 1937*n. Calculate the smallest common multiple of 210 and n.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 190 and 1389166.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52461, -419530, -1415865, -3356100, -6554869, -11326806, -17986545, -26848720?\nAnswer: -38227965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nbn when three letters picked without replacement from nbnbbnnbbbnnbnnbnb?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, p: 4, m: 2, g: 4}. What is prob of picking 1 p, 1 m, and 1 g?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 24*g - 5 = 29*g, -5*m - 37 = 3*g. Let u = 41\/264 - 1\/33. Let n = -43 - -128\/3. Which is the closest to -2\/7? (a) u (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c - 1. Let q be 34\/(-10) - (-6)\/15. Let a be v(q). Let z be 1\/a + 14\/(-4). Sort z, -0.4, -0.1.\nAnswer: z, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14474165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 482467 and 4632447.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 79*c - 9146. Determine p(116).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of -l**6\/6 + l**5\/5 + 3*l**4\/4 - 5*l**3\/3 + l**2 + 5. Determine h so that g(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10535)\/665 + (-27)\/171?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes after 3:40 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**3 - 12*h**2 - 14*h - 11. Let a be t(-11). Let w = a + -14. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -7*l + 19211625. Let p = l - 6834625. What is p rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 231647?\nAnswer: 13, 103, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + 1 + -4 + (-21 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.0745 and 3389?\nAnswer: -3641.4805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 382 a factor of 613134448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 2*x + 14 = 0, 4*x + 346 = 354. Sort -4, 0, g, 2, -275 in ascending order.\nAnswer: -275, -4, 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 6 + -14 - (-21 + 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 - 82042*x + 820526. Give p(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -5, 336, -1 in descending order.\nAnswer: 336, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.02179183232 and 0.1.\nAnswer: 0.12179183232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*o - 11*o. Sort 2, 1, o in descending order.\nAnswer: 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**3 + 3*i**2 + 6*i - 8. Let a be s(4). Let f(k) be the third derivative of -1\/24*k**4 + a*k + 0*k**3 - k**2 + 0. Let c(r) = -r. Calculate c(f(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(104)*-2 - sqrt(104)) + sqrt(104))*3 + (6*(sqrt(104) - 1*sqrt(104)) - sqrt(104)))\/((sqrt(192) + sqrt(48))\/sqrt(6) + -1*sqrt(128)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w + 13*w = 388. Let q = w + 190. Which is the nearest to 2? (a) -0.04 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 694 (b) -9 (c) -0.0735\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1433443259?\nAnswer: 1433443259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-5)\/(-3)*(-9 - -15). Suppose -13 = -2*n - y + w, 3*n = -2*y + 35. Suppose 133 = 7*k - 539. What is the remainder when k is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1373221361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 6*t**3 + 10*t**2 - 13. Let w(h) = -h**3 + h**2. Let i(o) = -g(o) - 5*w(o). Let l be i(-15). Suppose z + 5 = l. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 83622 and 672?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -49 or -184603\/3684?\nAnswer: -184603\/3684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 7524 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*i - 88 = -6*i. Let o = -0.3 - -0.1. Sort o, 0, i in ascending order.\nAnswer: i, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u**3 - 14*u**3 - 3*u**3)*(3*u**2 + 0*u**2 - 2*u**2).\nAnswer: -17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1065566 or 1065574?\nAnswer: 1065574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 448139077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 2 + 226*y + 226*y - 153*y)*(0 - 4 + 5 - 2 - 3 + 4 + (2 - 6 + 2)*(-1 - 3 + 3) - 2 - 1 + 0) in the form j + c*y and give c.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 791 is divided by 634?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -f. Let v(p) = 8*p - 785. Let b(a) = -10*a + 784. Let k(j) = -2*b(j) - 3*v(j). Is k(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 8*f**2 + f - 1. Let o be l(1). Let m = o + -5. Suppose 7*k = k + 24. Put k, 2, m in descending order.\nAnswer: k, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 113*l - 31*l - 31*l - 25*l - 29*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -12*x**2 + 1166*x + 972. Determine y(98).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -230*z**3 + 3061*z - 8917279 wrt z.\nAnswer: -690*z**2 + 3061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0362 - -4.3538. Let h = -0.39 + q. Let u = -0.6 + 0.4. Which is the nearest to h? (a) 1\/5 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (7 + -11 - 2) - -23.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 45810822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*f - 7*f - 30. Does 11 divide (f\/25)\/(4\/(-660))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -f981 (base 16) to base 14\nAnswer: -193c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 174 and 6206?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 2 m, and 1 c when four letters picked without replacement from {m: 2, c: 1, k: 2, u: 1, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 154 or 1\/125?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 49 + -41. Suppose -w*c + 3*c = -f - 37, f + 30 = 4*c. What is the remainder when 26 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 139917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5155 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17 - 15. Let m(v) = -v**y + 12*v - 8*v - 4*v - 5*v. What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 1.4, -11, 0.584, 4?\nAnswer: 0.584","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 10:08 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16 - 14. Suppose 5*d + u - 147 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 277429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - (-21)\/(-28))*40\/35. What is the second smallest value in t, -6, 46?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of s**3\/2 + 7*s. Let m(u) be the first derivative of 0*u**2 + 67 - 17\/3*u**3 + 0*u. Calculate p(m(d)).\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -2\/7, -155142, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, x: 2, k: 4, i: 3, z: 1, q: 1}. What is prob of picking 1 q and 1 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2 - -2) + 2\/107. Suppose 7 + 3 = -w - 5*p, 5*w = -3*p - 116. Let o be ((-35)\/w)\/(-7) + 4\/(-5). Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31 + 2*p + 34 + 39 - 118.\nAnswer: 2*p - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 441, 432, 433, 450, 489, 556, 657, 798?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 9*l. Let v(q) = -4*q + 5. Let f be ((-2)\/4)\/((-11)\/528). Let y(j) = -20*j + 24. Let r(n) = f*v(n) - 5*y(n). Give r(z(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 7 = -2*w. Suppose 2*l - 44 = -w*q + 5*l, 4*q = 3*l + 82. Let n = 51 - q. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/1 - (4 - 16). Suppose 20 = 18*j - 13*j. Let y(i) = 5*i - 18. Let h be y(j). Solve -3*s = h*s - u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-44)\/(-10) - (-2)\/(-5). Let y = 0 - 0. Suppose 5*w + 2*f = 33, 4*f = -2*w + 7*f - 2. Solve -z + y*z = t*d, w*z = 5*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of -t**5\/30 + t**3\/9 - 2*t - 2. Let u(h) be the first derivative of y(h). Factor u(b).\nAnswer: -2*b*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -34 - 9*w + 10 + 6*w. Calculate m(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**3 - 363*m**2 - 356*m**2 - 1 - 3*m + 722*m**2. Calculate z(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 2*p = 0, v + 21 - 11 = -p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22, -10, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 4*c + 22126 = -162, 3*n + 3*c - 22281 = 0. Does 70 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*b + 57*b = -9*x - 48, 5*b = -4*x - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1 - (-2 - 6 - (1 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does -320 = -1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 82616.00040303 - 82616. Round g to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 17.382 and -1162.\nAnswer: -20197.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 525311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 11*n**2 - 7*n + 4. Let k(l) = 9*l**2 - 6*l + 3. Let c(w) = 6*k(w) - 5*s(w). Let u(t) = -t**2 - 2. Determine 3*c(q) - 2*u(q).\nAnswer: -q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 9:09 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 767336569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**6\/(m*m**(-2\/21)*m) assuming m is positive.\nAnswer: m**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 10 = -w, 49*y - 44*y + 10 = -5*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-16)*40\/(-50)*-10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 35862 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 2*v + 20. Let b = v - 6. What is the tens digit of 51 + (-6 + 4)*b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*q**3 + 167*q**3 - 187*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 7*a**2 - 8*a + 5. Determine v(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 80 = -464. Suppose 0 = -98*b + p*b + 28. Which is greater: b or 9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 28 and 178944?\nAnswer: 1252608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, -1\/2, 54, 2\/7, -3\/17 in ascending order.\nAnswer: -1\/2, -3\/17, 2\/7, 0.5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01 in 0.2, -3, 0, 0.081?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 7*d - 4*d = 14, 3*d = -2*j + 11. Let u be 2 - j\/(-1) - 2. What is the units digit of 10\/(-4)*(u - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -169 != -168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11523 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s**3 + 34*s**2 + 11*s - 75. Give a(-17).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 961 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (-4 - 3) - (-6 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p + f + 31 - 13, -4*f - 30 = -5*p. Let q(d) = p - 2 - 3*d + 2*d. Let z = -216 + 213. Let y(i) = -i + 5. Give z*y(x) + 4*q(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 514.169 millilitres to litres.\nAnswer: 0.514169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j - 16*j - 27*j - 62 = 0. Which is the fourth biggest value? (a) 0.59 (b) 3 (c) j (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/(-165)*-15051 + 4\/(-22) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 82742 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(-20))\/((-208)\/(-80)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**5 + 76*n**4 - 144*n**3 - 4*n**2 + 146*n - 72 = 0.\nAnswer: -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 3*m - 2. Let b(a) = -4*a - 5. Let o(j) = -2*j - 3. Let q(y) = -3*y + 2. Let n be q(3). Let c(g) = n*o(g) + 4*b(g). What is -4*c(s) - 3*x(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 3*v**2 + 21*v - 632. Give n(11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let j = -2152107 - -1421107. What is j rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, c: 9, b: 8}. Give prob of picking 2 x.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-42)*(-2)\/(-2)*33\/(-33).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 28437691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16297 is divided by 408?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Subtract 11.8 from -7416.27.\nAnswer: -7428.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 5*s + 21, -5*k + 13 = -6*s + 5*s. Suppose 0 = -3*c + k*x + 3116, 0 = -c - 14*x + 9*x + 1067. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 72 - 250. Let u = -35029405.000079 - -35029227. Let t = u - q. Round t to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-525)\/210)\/(((-9)\/(-3))\/12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 70 + -53 + 1 + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1\/2)*y)\/(y\/(y**(-10)\/y)))**(-6) assuming y is positive.\nAnswer: y**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 17008.9633 times 2?\nAnswer: 34017.9266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2 - 5*y + 7. Let f be g(-6). Does 4 divide (-44)\/(-8)*4*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000024099796 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53 is divided by 10\/(-15) - 23\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35.4 minus 388566?\nAnswer: -388601.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - -1002202220?\nAnswer: 1002210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (j**4 - j**4 - j**4)*(-3 + 2 + 3) - 21*j**3 - 2*j**4 + 22*j**3 + 37*j**3 to q + i*j**4 + n*j + c*j**3 + g*j**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 20 (b) -5 (c) 2\/9 (d) 3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -40 + 662173.590054.\nAnswer: 662133.590054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of (-5 + 6)\/(((-6)\/18)\/(1028\/(-6)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-5))\/(0 + (-6)\/(-3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 38 = 5*b, b + 68 = 3*w - b. Suppose 3*h + w = -33. Let q = h - -25. What is the least common multiple of q and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -2*q + 4*d, -42*q - 7 = -41*q - d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of -l**5 + l**4\/6 - 2*l**3\/3 + l**2 - 4*l. Let u be w(2). Let f = -1424\/9 - u. What is the nearest to -0.2 in f, 0.1, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 247876337 - 123938167 - 9*a**2 + 2*a**2 - 123938170.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*h**6 - 11166*h**3 + 490*h**2 - 13 wrt h.\nAnswer: -600*h**3 - 66996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 + 18*w - 18. Calculate y(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01016 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36*(80\/(-10))\/16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -58, -2 in decreasing order.\nAnswer: -2, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3 = 0, 4*d + 2*n = 13 + 9. Let s be ((-2)\/(-7))\/((-14)\/(-49)). Suppose -3*q = s - 10. Solve d*h = 3*h - q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 23074 - 23109. Sort r, 5, -44.\nAnswer: -44, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(-12))\/s*s**(-3\/7))\/(s**4)**(-6))**(-4\/11) assuming s is positive.\nAnswer: s**(-324\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1947 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together 95420 and 187.\nAnswer: 95607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*(3*28\/(-36) - -3). Which is smaller: 45 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -122, -119, -116, -113?\n\"Answer: 3*i - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2093, 3981, 5869, 7757, 9645, 11533?\nAnswer: 13421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2217196172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s + 10. Suppose 3*n - n = -30. Calculate the remainder when c(n) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-536)\/(-6) - (-6)\/9. Let a = j + -6. Suppose -z - 2*w = -22, -4*z + 3*w = z - a. What is the least common multiple of 9 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 262 is divided by 126.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t**2\/13 - 276*t\/13 + 274\/13 = 0. What is t?\nAnswer: 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -868\/4895 - 2\/445. What is the closest to 0.3 in 2\/3, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x + 4 - 43. Let k(y) = -2 + x*y**2 + y - 2 - y**2 + 3. List the prime factors of k(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21 + 21.15. Which is greater: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3987296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x = -z - 6, -2*x - 5362*z + 5360*z - 2 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -27 or -11864\/435?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.3 - 18.3. Which is smaller: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*w + 24 = -10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -344 + 7514?\nAnswer: 7180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m = 55 - 517. Let z(n) = 5*n + 1. Suppose -l = 5*b + 4*l - 15, b - 4*l = -7. Let g be z(b). What is the highest common factor of m and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*r**2 + 5848664*r - 2137929411556 = 0. Calculate r.\nAnswer: 731083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1167\/7 - -167. Let k = 0.01 - -0.29. Which is the third smallest value? (a) d (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*x**2 + 7*x**2 + 3*x**2 + (2*x + 2*x + 5*x)*(4*x - 5*x - 6*x) - 3*x**2 + 4*x**2 + 0*x**2.\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be 86\/(-1161) + (3 - (-364)\/(-189)). Let w = -3404\/121905 + 14\/405. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 161 at most 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hbbh when four letters picked without replacement from bhbhyurrruur.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t**2 + 44*t**4 - 3*t + 2*t + 2*t - 3*t - 3 - 2*t**3 + 3*t in the form c*t**2 + i*t**4 + a*t**3 + d*t + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 24863\nAnswer: 4\/24863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2839 (b) -0.04 (c) -3\/2 (d) -4 (e) -9.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**3 - 5*j**2 - 79*j + 400. Let g be y(5). Let t(i) = 2*i - 9. Calculate t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, k: 10, s: 6}. What is prob of sequence kss?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 14*v**2 - 13*v - 21. Let t(q) = -7*q**2 + 6*q + 10. Determine -13*t(m) - 6*z(m).\nAnswer: 7*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes after 6:39 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from izqwwmwiyzqmwy. What is prob of picking 1 w and 2 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:15 AM and 9:01 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -8\/21, 2\/3, -4, 5\/3, -0.3, -1\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 7) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23 + 23.1. Which is the closest to f? (a) -0.2 (b) -1\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 746345*k**2 + 291*k + 974 wrt k.\nAnswer: 1492690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uguggu. What is prob of sequence uuu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 25 - 24.9. Let q = 0.47 - -34.53. Let z = q - 25. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 2*r - 25, 3*c = 5*r + 4 - 14. Suppose 26 - 261 = -c*k. Calculate the remainder when k is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*r**3 + 0*r**3 - 2*r**3)*(86022 - 9678 + 24831 + 50358 - 4625 - 1704) in the form h*r**2 + w*r**3 + y*r + k and give w.\nAnswer: 290408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 4 + 10)*((0*c**2 + 2*c**2 - c**2)*(c - c + c**2) - 2*c**4 - 2*c + 6*c**3 - 3*c**3 - 2*c**3).\nAnswer: -19*c**4 + 19*c**3 - 38*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11 and 197526989.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-3) - 68\/(-6). Suppose 0 = -j - 3*h - g, -h + 0*h - 4 = 0. Suppose -13 = -3*d - j. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 + (-90)\/(-6))\/((4 + -8)\/(-4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 77324 + -77315. Suppose -2*g - 2*g = 0. Solve g = -5*v - k + 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**2 - 19*f + 45. What is z(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**4 - w**3 + 1. Let a(p) = -2*p**4 - 6*p**3 - 7*p + 6. Let d(k) = -a(k) + 6*y(k). Find the second derivative of d(n) wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23954449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (3 - 0) + 3 + (-4 - -15) + -14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2330*z + 1712526. Give k(-735).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 3*b = 40040, 29337 + 10711 = 4*o - 5*b. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x + 3*x + 0*x)*(-2 + 2 - 1)*(-5 - 7 + 14).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -262027 or -262034?\nAnswer: -262027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from hhdhhhhhhhhhad.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3093192.\nAnswer: 2, 3, 42961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -40*g + 2. Let f(t) = -t**3 - 6*t**2 - 2. Let v be f(-6). Let o be x(v). Find the second derivative of -2*j**2 + o*j - 2 + 2 - 84*j wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2524*c - 32568. Give x(13).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 82, 286, 614, 1066?\n\"Answer: 62*l**2 + 18*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -113 - -121. Calculate the lowest common multiple of m and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 143562 and 239270?\nAnswer: 717810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -321, -236, -95, 102, 355, 664, 1029?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that f**2 + 1\/3*f**4 + f**3 + 0 + 1\/3*f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 177*w**2 - 17550*w + 2720. Give k(99).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 563*t - 72. Let y be h(7). Suppose 15*f = 3946 + y. Is f a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 83293.02ml?\nAnswer: 83.29302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 + 7*j**2 - 8*j - 8. Let t be k(5). Solve t*o = 5*y + 10, 2*y = y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - 5) + 4 + (-1 + 0 - -3) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 18 = -0*z. Let p(s) = -6 - z*s - 2*s + 8. List the prime factors of p(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 177 and 6?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t = -3*l + 25, 56*t + 10 = -3*l + 58*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/17 (b) 3 (c) -2 (d) 1\/6 (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 46 divided by -94175\nAnswer: -46\/94175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(220) - sqrt(220)*2 - sqrt(220)))\/(4*sqrt(45)))\/(5*(sqrt(12) - 5*sqrt(96)\/sqrt(8))\/sqrt(3)).\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 423330 and 15965.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h - 5*n - 56575, -56109 + 10845 = -4*h + 5*n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 56003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 750 and 357375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -1692 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kkl when three letters picked without replacement from lkkkkklkkllkkl?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/(-7))\/((-2)\/(-14)). Suppose 2*h = m + w*h + 11, -2*m + 3*h = 0. Does 10 divide -8*m\/6 + 116 + -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 214012 (base 5) to base 15\nAnswer: 22c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2520 - -23291. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -257*a - 6370. What is u(-25)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*k**2 - 1606495*k - 1770 + 1606495*k + 1770.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1*(-6)\/16 - 21960\/(-192)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of -5*o**3\/6 - 28*o**2 + 19*o. Let a be f(-12). Solve -3*u = -2*u + a*z + 14, 3*z = 5*u - 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1092 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/2091 and 127\/2652?\nAnswer: 108732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -j**3*z + 2666*j**3 - 5*j**2 - 29*j*z - 3*j wrt j?\nAnswer: -6*z + 15996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -3*r. Let v = -18 - -39. Let z = -25 + v. Which is the nearest to r? (a) 0.3 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 119476667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -57.354 - -0.044. Let n = 57 + w. Let b = n - -0.31042. Round b to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-8))**(-1\/4)\/((j**(1\/2)\/j)\/j**(-5)) assuming j is positive.\nAnswer: j**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3615, -5878, -8143, -10410, -12679, -14950, -17223?\n\"Answer: -c**2 - 2260*c - 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of p**8\/1344 - p**6\/240 + p**4\/96 - 2*p**2 + 11*p. Let j(o) be the first derivative of r(o). Factor j(l).\nAnswer: l*(l - 1)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence liq when three letters picked without replacement from {h: 2, q: 1, c: 2, i: 4, l: 2, j: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -20950, -4, -3, 113, 0 in descending order.\nAnswer: 113, 0, -3, -4, -20950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes before 3:56 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 3*z - 9. Let i(w) = -2*w + 3. Let n be i(5). Let d = z + n. Solve -d*s + o + 10 = -2, 28 = 3*s - 4*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -16*o**2 + 92144*o - 132664324.\nAnswer: -4*(2*o - 5759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3 and 8486427.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**2 - 3*w + 4. Let z be q(-4). Let x be -1 + z*(-2)\/6. Let r be (-7 + x)*(-21)\/6. Calculate the greatest common divisor of 56 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is c in c**4\/4 - 55*c**3 + 9075*c**2\/2 - 166375*c + 9150625\/4 = 0?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2257, -4511, -6765, -9019, -11273?\nAnswer: -13527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -42*v**3 - 27*v**2 + 27*v + 12. Let g = 8 - 14. Let j(w) = -43*w**3 - 28*w**2 + 28*w + 13. Let s(x) = g*j(x) + 7*f(x). What is a in s(a) = 0?\nAnswer: -1, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 - (1 - (3 - 0)). Suppose 5*z - 23 - 87 = h. Suppose 3*m - 22 = -2*a + 4, -2*m = -5*a - 11. What is the least common multiple of m and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b - c - 45, -7*b + 9*b + 5*c = -5. Factor 60*x + 25 - 5*x**5 - b*x**2 + 23*x**3 + 15 - 78*x**3 - 30*x**4.\nAnswer: -5*(x - 1)*(x + 1)*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2121 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -61754 by 802.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9 + -10 + (-63)\/(-45). What is the nearest to -2 in -22, 2\/9, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14\/(2\/(-12)*(-6)\/(3\/3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -1 + 6 - 6*o - 4*o**3 + o**3 - 11 + 6*o**2. Let q(b) be the second derivative of 1\/6*b**3 + 1\/2*b**2 - 2*b + 0 - 1\/12*b**4. Calculate 6*q(j) + v(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16020\/4984)\/((-90)\/(-504))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 6\/11, -1\/2 in decreasing order.\nAnswer: 6\/11, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/859 - -3418\/7731. Suppose -2\/9*b + v*b**2 + 0 - 2\/9*b**3 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/5 - 65\/(-25). Determine i, given that -12*i + 50*i - 15*i**2 - 5*i**q + 15*i**4 - 28*i - 5*i**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*x = -3*x - 24. Solve 2*h + x*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2814.82 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -48*d + 109. What is q(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -975.4676 - 0.7324. Let w = 874 + f. What is w rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/8*8\/(-4)*-2. Let g(x) = -x**2 - 3*x + 5. Let q be g(-4). Solve -l*w - q = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -9, 7, 35, 81?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 45 and 50613?\nAnswer: 759195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1 (b) -1\/5 (c) 28 (d) 16 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -28055, -56091, -84127, -112163, -140199, -168235?\nAnswer: -196271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -87*-1\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -479 or -4312\/9?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (1 + 5 - (-2 - -7) - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 44755.69 litres?\nAnswer: 44755690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*n + 20*n + 24 = 0. Let g = 7 + n. Let h(k) = 3*k**2 - 24*k**2 + k**2. Let m(r) = -r**2. Calculate g*h(v) - 24*m(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xfg when three letters picked without replacement from axfigdi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 729, 2086, 3965, 6372, 9313, 12794, 16821, 21400?\n\"Answer: m**3 + 255*m**2 + 585*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, r: 1, q: 6, h: 1}. What is prob of picking 1 h and 1 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 + -19 - -2) + -3 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the third derivative of k**4\/24 - k**2. Let u(i) = 2592*i + 27027. Let s(q) = -35*q - 364. Let c(l) = 297*s(l) + 4*u(l). Calculate j(c(g)).\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -5*t + 8. Does 19 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 10) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - w - 6 = 3*m, 0 = m. List the prime factors of w\/(-6) - (-596)\/12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 196189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 111*a + 160*a - 259*a. Let h(d) = -44*d**2 - 1. Calculate l(h(t)).\nAnswer: -528*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x - 45 = -48*w + 43*w + 15*x, w + 6 = -w + 2*x for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 154 and 57508?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 101.1 + -558.1. Let x = -412 - u. What is the nearest to -1 in 4, -1, -3, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 2*f - 54, -4*o + 30*f = 26*f - 192. What is the remainder when 1714 is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 - 6*g**2 - 3*g + 2. Let a be (3 - 3) + 4 + 3. Let c be r(a). Let l = c - 5. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -123\/10 and 43\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes before 8:03 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 327, 736, 1309, 2046?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 115, 0, -5 in ascending order.\nAnswer: -5, 0, 1, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 778*a - 780. Is d(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10169 + 10168.999985963. Round y to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (53244\/435)\/17*(-5)\/(-2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1035208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 7*f**2 - 9*f + 9. Give u(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -421*p - 433*p - 428*p + 1743*p - 430*p.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + w = 0. Is 2\/27 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 2 t when four letters picked without replacement from ttjjwttjwj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in fifty-one quarters of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + 2*u - 2*u**2)*(105*u + 659*u + 79*u).\nAnswer: -1686*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3266 + 3260. What is the nearest to 6 in -3, 0.3, -2, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2428422, -4856845, -7285268?\n\"Answer: -2428423*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 285 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*b + 0 + 126*b + 181*b - b**2 + 0 to the form f + r*b**2 + d*b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/3*3\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 154.2675 decades?\nAnswer: 15.42675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -781.19936 to the nearest ten.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**5 - o**4 - o + 1. Let g(f) = 8*f - f**3 + 5*f**3 - 6*f**4 + 2*f**4 - 8 + 12*f**2. Let r(b) = 6*c(b) + g(b). Solve r(u) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 2*a - 39. What is the highest common factor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*k**2 + 12*k**2 + 67*k**2 + 6*k**2.\nAnswer: 112*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 374, -1680\/11, 0.74 in decreasing order.\nAnswer: 374, 0.74, -1680\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 824219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 - l - 4. Let m be h(3). Let p(y) = 5*y + 23. Let w be (-88)\/(-10) - (-6)\/30. Let b(g) = -g - 6. Let o(f) = m*p(f) + w*b(f). Calculate o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -101*w**3 - 31*w**2 - 5*w. Let k(l) = -152*l**3 - 47*l**2 - 7*l. Let z(t) = -7*i(t) + 5*k(t). What is the third derivative of z(j) wrt j?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -4334*m + 5464. What are the prime factors of o(-11)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -657, 3, -10 in decreasing order.\nAnswer: 3, -1, -10, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -44101 (base 7) to base 12\nAnswer: -646a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 2 - -157 - ((-4)\/(-4))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -135*n - 106*n + 0*n**2 - 182*n - 2*n**2 + 63*n - 16200.\nAnswer: -2*(n + 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/6 and -7\/19905.\nAnswer: 39810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 - 8*t**2 + t + 45. Let q be n(8). Suppose -41*w + q*w = 48996. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/3)\/((-11)\/44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of -10*g**3\/3 + 1. Let l(q) = 5*q. What is n(l(o))?\nAnswer: -250*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-957096)\/211)\/126*(-7)\/4.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-10))\/(9\/(-138)) + -4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 53303 and 1359.\nAnswer: 479727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 321578 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 5, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2297 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.0197842044945 + 3557410.8197737044945. Let g = u + -3557415. Let y = g + 4.2. Round y to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28 divided by -276173.\nAnswer: 28\/276173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 96 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of 2*w**8\/105 - 4232*w**7\/525 - 10703*w**6\/300 + 1024*w**5\/25 - 267*w**4\/20 - 5876*w**2. What is o in r(o) = 0?\nAnswer: -3, 0, 1\/4, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3756*b**3 + 184 - 4408\/3*b + 54*b**4 + 6146\/3*b**2 = 0. Calculate b.\nAnswer: -69, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 236162567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 PM and 2:32 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 4, w: 3, t: 3, s: 3}. Give prob of sequence zs.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1397*a**3*v + a**3 - a**2*j - 106954*a*j**3*v + 5*a*j**3 + 82*a*j - 2*a + 49*j wrt v.\nAnswer: -1397*a**3 - 106954*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1488652657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 49056 and 28728.\nAnswer: 8388576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 21 + -7 - 12 - (32 - 18) - (99 + 12)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 243*i**5 + 199*i**2?\nAnswer: 14580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50\/390 - 30\/65?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19408 divided by -66.\nAnswer: -9704\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((24\/(-36))\/(2\/8))\/(4\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 24*y**2 + 6*y + 4. Let z be m(2). Suppose 21*h - 728 - z = 0. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + (12 - (16 - (-32 - -15))) - 64.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 365895 or 22685405\/62?\nAnswer: 22685405\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 767 is divided by 343.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-2)*696\/29*(-1)\/(-4). Let l(j) = -3*j**2 + j + 1. Let r be l(-1). Let s(q) = -3*q**2 + 2. Let p be s(r). Put p, g, 1 in ascending order.\nAnswer: p, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*q - 5*q - 3*q)*(-6*q - 2*q + 7*q + 2 + (2*q - 6*q + 3*q)*(0 - 4 + 2)) to the form y*q + d + n*q**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 728*h - 27097 = -345*h + 16*h - 7014 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (-8 - (15 + -8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the second derivative of -8177*r**4\/12 - 13*r**3\/6 + 10*r**2 + 22*r. Let j be v(15). Round j to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 27153994 to the power of 1\/2, to the nearest integer?\nAnswer: 5211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0.0225, -2\/5.\nAnswer: -3, -2\/5, 0.0225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 + 21. Let c be 4 - ((-3)\/(-3) + q). What is z in 0*z - 1\/5*z**4 + 0 - 4\/5*z**2 - 4\/5*z**c = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/((-416)\/((-624)\/(-12)))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/3 + 2\/12. Let m = -0.54 - -0.04. What is the third smallest value in m, 2\/11, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 850128 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 913 and -13.\nAnswer: -11869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 35 + 33. Suppose 3*d = -3*l + 33, d + 16 = -4*l + 42. Calculate the least common multiple of z and d.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 51\/2 of a century?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**2 - o. Let b(j) = 30*j**3 + 51*j**2 + 48*j + 3. Let t(c) = -b(c) - 12*l(c). Find p such that t(p) = 0.\nAnswer: -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-3) + 20\/60. Let o be (-2 + k)*3 - -4. Let r = 563\/18840 - 6\/157. Is o greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 300 + -300.3. What is the biggest value in u, 1\/6, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16246*h + 5328 = 8121*h + 8236*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 272 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -13 divided by -47448?\nAnswer: 13\/47448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-8)*(19\/((-2052)\/(-192)))\/(99\/(-3564))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -k**3 - 2*k**2 - 3316*k - 189 - 3396*k - 2*k**4 + 6710*k in the form x*k + n*k**4 + j + t*k**2 + u*k**3 and give j.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from urbkrmrbbrmrkrmu. Give prob of sequence umr.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together 11496308212 and 0.2.\nAnswer: 11496308212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/33 and 2\/((6\/11)\/(-2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 294 - -26b4?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(2\/9)*c*(c\/c**(-18)*c)\/c*(c\/((c\/c**(1\/11))\/c)*c)**(-2\/7) assuming c is positive.\nAnswer: c**(13600\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1426 = 104*t - 178 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 334, 673, 1012?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 2*x - 4*z, -3*x + 25 = -3*z + 1. Suppose -4*f - 4*q = -8*q - 104, -x*f = -3*q - 104. Solve 23*u = f*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249\/664*(-16)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -8, 3*c = -4*b + 18 + 25. Suppose 0 = v - c*v + 832. Calculate the remainder when v is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.9 - 0.6. Let x = 0.12 - 0.42. Put b, x, -2\/11 in increasing order.\nAnswer: x, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1*1*4*65\/390?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - 10010111011100111011111100?\nAnswer: -10010111011100111011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 100100010111010010111011 (base 2) to base 8\nAnswer: 44272273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*g + 6*g + g - 6*g + 2*g + 3*g + (0 + 0 - 2)*(0*g + 0*g + g) - g - 1 + 1 + 1993*g - 26139 + 26139 + (2 - 1 - 2)*(0 + 0 + g).\nAnswer: 1993*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -13030 + 124?\nAnswer: -12502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8450?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4\/188)\/((-26)\/(-52)). What is the nearest to -1 in -3, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1*(-3)\/(-9)*6. Solve -x - 4*l + 16 = 0, x + 6 = c*l - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/((-10)\/20 - 3\/(-18)). Calculate the common denominator of -71\/18 and 5 + (-3 + (-549)\/(-240) - v).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 65180374 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000120623447 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3\/14 (c) 1\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3274?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 833196 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -80, -196, -356, -572, -856, -1220, -1676?\n\"Answer: -2*y**3 - 10*y**2 - 72*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -40903849\/4960050 - 1\/165335. Let f = 71\/75 + h. Find the common denominator of f and 99\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 224405 and 3885.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*h**3 + 4*h**3 - 3*h + 42*h**2 - 40*h**2 + 0*h to q + p*h + w*h**2 + i*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/30)\/((-5)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, m: 1, u: 5, b: 4}. What is prob of picking 1 u and 1 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -2*g - 4*k + 28, 5*g - 5*k = 0. Let i be (-34)\/2*(g + -8). Let w = 97 - i. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.0499 - -4.8401. Let v = f - -0.11. Let r = v + -8. What is the second smallest value in r, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4545 and 16665?\nAnswer: 49995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be 15\/(-9)*360\/(-75). Let m be ((-1)\/2)\/((-2)\/12). Let j = 21 - 9. Solve f*c - 3*c - 40 = 5*b, c + j = -m*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 5 (c) 11\/2732 (d) 0.2 (e) -12\/11 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 302807273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + 17573?\nAnswer: 17566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (29536\/26)\/(1984\/(-124))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 847921705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 4*z - 99438 + 99448 = 0, -3*v - 2*z = -11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from idzzpiidie. Give prob of sequence iei.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 44 divide (-3)\/(-21) - 4617\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 273 a factor of 224809185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 114789, 229577, 344365, 459153, 573941, 688729?\n\"Answer: 114788*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -11*j - 4. Let y be b(-1). Let l(o) = 3*o**2 - 9*o + 9. What is the tens digit of l(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6863597 is divided by 403737.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 72.36 - 1.36. Which is smaller: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6005412.\nAnswer: 2, 3, 7, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 2*b**2 + 3*b - 2. Let p be w(-2). Let c(o) = -o - 5. Let m be c(-6). Suppose -14 = -3*n + m. Solve p = -5*s - n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/3)*o**(-2\/13)*(o\/(o**(-1)\/o))**(2\/111))\/((o\/o**(2\/5))**(3\/43)\/(o**4\/(o*o**(2\/11)\/o))) assuming o is positive.\nAnswer: o**(13684438\/3412695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0 + 0)*4*3\/(-24). Suppose s = 14*d - 76 - 8. Solve 0 = 5*u + 4*t - 9, u + t - d*t = 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1122 and 88?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -12*b**3 - 2*b**2 - 2. Let p(u) = 11*u**3 + 3*u**2 + 3. Let w be (-6)\/4*(-1 + 3). Calculate w*n(x) - 2*p(x).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 1)*(0*u - 2*u + 4*u) - 26 + 26 + 31*u.\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 39017187 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -4*b + 9, 23*b - 19*b - 12 = 4*j. Let x(a) = a + 11. What is x(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least -1\/645706906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 64.42 - 59.42. Put -4, h, 102 in descending order.\nAnswer: 102, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 505 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-291616)\/(-91))\/((-2)\/(-7))?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20560321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8197 is divided by 328.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4300, -6800, -10952, -16756, -24212, -33320?\nAnswer: -44080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/x**(-10))\/x*x*x**(-1\/3) assuming x is positive.\nAnswer: x**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g - 1365 = -7*g. What is the common denominator of 470\/(-50) - 1*-3 and ((-1)\/(-15))\/(2\/g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/11 + 0. Let w be 1*-5 + ((-3)\/(-1))\/1. Let k be (0*1\/w - -1)*2. Are o and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 80 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -3*u**3 + 3*u**2 + 2*u. Let i be p(3). Let r = 50 + i. Suppose 27 - r = 5*h. Which is the third biggest value? (a) -2\/21 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1072 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: Let w(v) = -3*v**3 - v. Let g(x) = -x + 1. Let i be g(2). What is the units digit of w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69911 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -244 = 23*u + 483 + 262 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 527069 = 5*r - 527086, -5*r + 56 = 12*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + -f9f1?\nAnswer: -f9f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15929, -15908, -15887, -15866, -15845, -15824?\nAnswer: -15803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5082495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 129, 142, 171, 222, 301?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 813 + -386. List the prime factors of a.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 136 - 956\/7. What is the nearest to -1 in -0.4, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 84 and 186.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((2 - 3) + 0)\/((-1)\/78). Suppose 0 = 4*d - 2*o + 314, -2*d - 3*o + 5 - 142 = 0. Let u = d + j. Solve 1 + 1 = u*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*(-185)\/90 - (-25)\/(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 - 5*n. Let s(q) = q**2 + 6*q. Let r(b) = 6*b - 60. Let v be r(10). Suppose k + 3*x - 12 = v, -x - 3*x = 5*k - 38. Determine k*o(h) + 5*s(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -614 + 2645. Suppose 1713 = 18*b - r. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7086 and 6?\nAnswer: 7086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2026?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 193*u - 80968 + 77880 = 0 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 - 22 + 2)*(-o**3 + 3*o**3 - 4*o**3)*(-9 + 4 - 6).\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -n + 0*n + 0*n + (3*n - 3*n - n)*(-13 + 8 + 9)*(2 + 1 - 4) as m + r*n and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1734 - -1770. Let n(u) = -u**3 - 4*u**2 - 4*u + 4. Calculate the least common multiple of n(-4) and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -251 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) 13 (c) 3 (d) 7 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 3*o - 33 = 0, -4*m = -0*o - 4*o - 16. Suppose 1 = -5*q - m. Let l = 0 - q. Solve c - 8 = -2*j, 3*c - l*j = -j + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*y = 32*y + 69 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 3*q + 49. What is d(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.14 and 55.\nAnswer: 62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -52, -84, -116, -148, -180?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -824*d - 27976 = 17344 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-13 + 0)*(-116)\/348)\/((-2)\/6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - b = -208, 3*b - 86 - 118 = -5*d. Put 1, 2, d in ascending order.\nAnswer: 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2 + 0)\/(-2)*-1. Let f be 15\/(-21) - n*1. Let r be 455\/255 + 720\/(-432). Which is the second biggest value? (a) f (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 AM and 10:24 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6358 + 11*c**2 - c**2 - 3*c**2 - 6*c**2 - 3*c**2.\nAnswer: -2*c**2 + 6358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 18517 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1*6*(-20)\/(-30). Suppose -19 = k*c - 5*u, -4*c - 3*u - 38 = -11. Let y(s) = s**2 + 3*s - 16. Let p be y(c). Solve -8 = -4*v + p*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4 + 108)\/(-1 + 2). Suppose -4*j + 24 = 4*c - 64, -w = -5*j - 4*c. Suppose -b + j = b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -4 - 6, 4*g = -4*q + 32. Let 2*i**5 + 6*i**5 + 12*i**3 - q*i**2 + 3*i - 7*i**5 - 6*i**4 = 0. What is i?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 41 (c) -5 (d) 0.1 (e) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = -205*n + 1425 + 665 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -392 and -405.\nAnswer: 158760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 j when four letters picked without replacement from {j: 3, s: 17}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - 3*m**2 + 101*m + 25. Let z be c(-15). Calculate the highest common factor of z and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 299*v**2 - 99*v**3 + 5*v - 285*v**2 - 5*v.\nAnswer: -99*v**3 + 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 25 = 4*z, 59*b - 64*b - 3*z + 5 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 743624 is divided by 566.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(1377) - -1*sqrt(1377)) - (sqrt(1377) + 6*1*sqrt(1377) + sqrt(1377)) - (1*sqrt(1377)*-4 - (sqrt(1377) - (sqrt(1377) + 2 + sqrt(1377))*6)))**2.\nAnswer: 1512*sqrt(17) + 67617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000147953251 to seven decimal places.\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*h + 3*h + h**4 + (2 - 2 + h**2)*(-1 + 1 + 2*h**2))*(-3*h + 2 + 2*h - 21*h).\nAnswer: -66*h**5 + 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes before 8:15 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*q - 5*q - 40 = 0. Let y = q + -9. Let a be (-6)\/(-2) - (y + 4). What is the closest to a in -0.3, -0.4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -574238777\/510 + 1125958. Calculate the common denominator of 29\/30 and h.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16291223 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 21646? (a) -2 (b) 0.3 (c) 5 (d) 0.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1670795 - 52?\nAnswer: 1670743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, x: 5, g: 2, n: 3, m: 8}. Give prob of picking 1 n and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - 3) + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -367\/6 - -61. Let r = -6.12 + 6.22. What is the fourth smallest value in 4, r, f, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -177352 divided by 8?\nAnswer: -22169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -646153*k**2*t**2 + 26*k - 4*t**2 + 141*t wrt k.\nAnswer: -1292306*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1065512\/(-90948) - (0 + -12) - -7*(-6)\/231?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17*(4 + -13 + 906\/102).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2437 = -29*x + 2408 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9\/(-15)*2\/(-6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4716771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sum 8 and -242357561091.\nAnswer: -242357561083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k\/((k\/(k*k\/(k**12*k)*k))\/k))\/k**(-1)*((k*k**(2\/9))\/k)**(1\/18) assuming k is positive.\nAnswer: k**(-566\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the first derivative of -m**4 + 31*m**2\/2 + 136*m + 1067. Find the first derivative of v(j) wrt j.\nAnswer: -12*j**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 4*l - 39. What is u(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 79481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*l + 7*l + 90. Suppose -k = -5*z - l + 44, -5*z + 2*k = -30. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 1. Let r = -51 - -25. Let a = r + 25. Let q(m) = -2*m**3 - 12. Determine a*q(c) - 12*f(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -60 = -86*w - 232 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((5\/3)\/5)\/(((-1612)\/(-780))\/31).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 487381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2\/17 + 66*f\/17 - 2576\/17.\nAnswer: 2*(f - 23)*(f + 56)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 5*a. Let v = -3 - -5. Let p be d(v). Solve -p = -2*b, -l - l - 2*b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 4*d = -16, -150*h - 18 - 1 = -151*h - 4*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1849 and 19676843?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 139 minutes after 9:53 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 5*u**2 + 543*u + 7425. What is s(-86)?\nAnswer: -2293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**3 + 6*a**2 + 8*a - 1. Let w be n(-4). Let t be (-1)\/w - 7\/5. What is the closest to 1\/5 in t, -1, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -62, 5 in increasing order.\nAnswer: -62, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the first derivative of 35*t**3\/3 + t**2 - t - 2. Let v be z(1). Suppose -25*w = -36*w + 44. What is the greatest common factor of w and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**2 + 0 + 0)*(-2 - 231*w**3 - 234*w**3 + 469*w**3 + 56*w**2).\nAnswer: -8*w**5 - 112*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2246 - -626. Let v = -857 - u. What are the prime factors of v?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/((-8)\/12) - 3. Suppose x - 20 + 13 = a. Let q = x - -4. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 5217, 20790, 46745, 83082, 129801, 186902, 254385?\n\"Answer: 5191*c**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 121902289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the third derivative of 1\/70*k**5 + 0*k - 1\/280*k**6 + 0*k**3 - 1\/56*k**4 + 0 + 5*k**2. Factor h(s).\nAnswer: -3*s*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*k + 7*t + 44 = k, -2*k = -4*t - 28 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of -7*b**4\/12 + 2*b**3\/3 - 4*b. Let d(c) = -7*c**2 + 3*c. Let g(m) = -4*d(m) + 3*l(m). Let f(r) = r**2. Give f(g(n)).\nAnswer: 49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -137.2 times 0.0663?\nAnswer: -9.09636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(3 - 4) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 7319498 - 32519498. Round o to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -8*i - 1. Let m(k) = 28*k - 15. Let t(r) = 17*r - 9. Let s(j) = 6*m(j) - 10*t(j). What is -6*s(y) + 2*w(y)?\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 282669, 282669, 282683, 282717, 282777, 282869, 282999, 283173?\n\"Answer: g**3 + g**2 - 10*g + 282677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/((-18)\/(-10)))\/((-7)\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -62684348*f - 3728831?\nAnswer: -62684348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**3 + 35*f**2 + 21*f - 110. Does 40 divide a(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 15, 33, 51, 69?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 3*g + 6 = 0, -l + 4*g - 7 = 2*l. Suppose 0 = 4*h + 12, -5*h + 3*h - 72 = -2*z. What is the remainder when z is divided by (-63)\/(-6) - l\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the first derivative of -w**4\/4 + 3*w**3 - 2*w**2 - 5*w - 17. Is j(7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 21102 (base 4) to base 6\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 39 less than 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 118, 3, -93?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2505*2.38.\nAnswer: 5961.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 86610, 86572, 86546, 86538, 86554, 86600, 86682, 86806?\n\"Answer: d**3 - 45*d + 86654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z - 3*b - 58, -b - 31 = -z - 0*b. What is the remainder when 133 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 17055 and -109?\nAnswer: -1858995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1068484022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 14\/81605?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.6896 - 2009609666.\nAnswer: -2009609662.3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + -7.7. Let c = -6999 - -7001. What is the fourth biggest value in 3\/8, r, c, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 477 + -475. Solve 20 = -4*k + 5*i, 3*k - 6*k - h*i - 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 19768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 598 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes after 3:49 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 AM and 5:34 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -20313255 - -5?\nAnswer: -20313250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/t**(-5\/6)*t)\/(t*t**19))\/((t\/t**(-3\/20))\/(t*(((t**(-10)*t)\/t*t)\/t)\/t)))**(-7) assuming t is positive.\nAnswer: t**(11893\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v = -8*v + 4. Let l = 13 - v. Which is smaller: l or 11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3299.47 - -745678371.\nAnswer: 745675071.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.08395 and 3?\nAnswer: 3.08395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1519305 (base 13) to base 5\nAnswer: -3210411440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6866250771 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -3*t + 3. Let b = -10 - -12. Let q(k) = -5*k + 2*k + k**2 + 4 + k - b*k. Give 4*d(w) - 3*q(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**(1\/8)*n**(-14)\/n*n)**(-2\/3)\/((n\/n**(-12))\/(n**(-2\/23)*n))**30 assuming n is positive.\nAnswer: n**(-32555\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/2)\/(((-728)\/(-5460))\/(8\/(-6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -525 + 536. Solve s*f + 25 = 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 4018881, 4018879, 4018877, 4018875, 4018873?\n\"Answer: -2*j + 4018883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 46 = -4*d - 12, 0 = -3*r - 5*d + 10. Let h = 14 - r. Suppose 5*b = 4*z + 49, -3*b - 5*z = -1 - 58. Calculate the remainder when b is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = 866*p - 867*p + 2*n, -30 = -5*p + 5*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 3407*t + 12 = -3405*t, 3*l = -4*t + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2 (b) -545 (c) 13\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 + 3*g - 1. Suppose -5*o + 0*j - 15 = -j, 0 = 5*o + 4*j + 15. Let l be h(o). Let d = 396\/1537 - 10\/53. Is d greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6676086, 13352167, 20028254, 26704353, 33380470, 40056611, 46732782?\nAnswer: 53408989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 8:04 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4\/276)\/((-956)\/(-10018612272)). Let x = y + -151880. Let p = 357341\/49473 + x. Find the common denominator of 43\/2 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 5*r + 7 + 2 - 1. Let z(g) = -g**2 - 30*g + 213. Let a be z(-36). Let q(f) be the first derivative of -f**2 - 3*f - 1. Give a*j(c) - 8*q(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -246 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the first derivative of 0*a**3 + 4*a + 3\/4*a**4 + 0*a**2 + 4. Let m(b) be the first derivative of l(b). Let v(j) = -j**2. Determine v(m(r)).\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 120771 and 2485.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -5 + (-2 + 12 - (31 + (14 - 15) + -22))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*k - 75*k + 48 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 0 - (4 + -15 + (7 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 368040 and 171752?\nAnswer: 2576280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 13747286 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r - 3. Let h be v(6). Let c(j) = 3*j**2 + j**h + 0*j**2 + j**3 + j. Suppose -13 = 5*x + 3*k, -x + 2*x - 3*k - 1 = 0. Give c(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6877418, 6877419, 6877420?\nAnswer: 6877421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/8 or -0.37813?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**3 - 7*x**2 + 23. Let a be f(6). Let j = a + 17. Calculate the least common multiple of j and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/112*-103 + 144\/672.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -342 (base 7) to base 12.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1708445 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2057897494 minus 0.4?\nAnswer: -0.1942102506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(1536))\/sqrt(8)*-1 + -2*sqrt(432) + 4 + (sqrt(432) - (5 + 0 + sqrt(432))))**2 + 1.\nAnswer: 32*sqrt(3) + 770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = 4*a + 4, 5*f - 3*a = -4*a - 1. Solve f = -2*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 9196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -18*y**3 - 1593*y**2 + 813*y + 1039. Give q(-89).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 582677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 287b + 5?\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**4 - 4*a**3 + 2*a**2.\nAnswer: 2*a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -38*q + 22. Let t be y(8). Let a = t - -336. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 5, 0.5, -4\/345, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3187, -3902, -4615, -5326?\n\"Answer: c**2 - 718*c - 2470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 9 or 11781?\nAnswer: 11781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 125 = -4*h - 126, 0 = 3*h - 2*n - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -14*j**3 + 4 + 15*j**3 - 3 - j**2. Let p be k(2). Suppose -5*l + p*g = -0*g - 245, 0 = -2*l + g + 96. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 1 - 24 = 0. Sort 0, 5, -3, k in increasing order.\nAnswer: k, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2527479923 to the nearest integer?\nAnswer: 50274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 - 17*h**2 - 16*h + 23. What is y(-16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110*z - 172*z**2 - 10 - 169*z**2 - 10 + 340*z**2.\nAnswer: -z**2 + 110*z - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/580 and -43\/18.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -5.5, -12, 17, -0.33, -42 in descending order.\nAnswer: 17, -0.33, -5.5, -12, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 370*t + 1 = -g + 365*t, 0 = 5*g - 2*t - 22. Let k(q) = 5 + 0*q - 2*q + 8*q - q**2. What is k(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 22894460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*((-1)\/6)\/((-1)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -750.8833 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 5}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/((-2)\/(-10)) + 20280\/5. Suppose -2*k + 1625 = -11*c + 10*c, 5*k = 2*c + t. List the prime factors of k.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:17 AM and 7:01 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**2 - 114*p - 136. Is l(-55) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*y + 5423 = 5369. Factor 0 - 8\/5*c**2 - 6\/5*c - 2\/5*c**y.\nAnswer: -2*c*(c + 1)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2903940 divided by 5?\nAnswer: 580788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**8\/o)\/(o\/o**4)*o**(-12)\/(o\/(o*o**0\/o)) assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - 7. Put 0, 4, d in increasing order.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes before 1:29 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(-3\/4)*t\/(t\/(t**(-3\/7)\/t)))**(-47) assuming t is positive.\nAnswer: t**(1551\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 27735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1778, 3476, 4526, 4604, 3386?\n\"Answer: -54*l**3 + 2076*l - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -45*p + 3. What is g(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the third derivative of t**5\/30 + t**2. Let s(l) be the second derivative of -1\/3*l**3 + 0 + 0*l**2 + 3*l. Give p(s(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Do -42\/23 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that q**5\/4 - 145*q**4 - 295*q**3\/2 + 1310*q**2 - 6395*q\/4 + 581 = 0.\nAnswer: -4, 1, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f - 4*b - 40 - 166, -2*f + b - 130 = 0. Let x = -94 - f. Let z = x - -28. Solve z*g - 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + (-9 - (-3 + 11 + -9) - (53 - 42))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 o, 1 m, and 1 l when four letters picked without replacement from {n: 1, m: 2, u: 1, a: 1, l: 1, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 - 3*q**2 + 4*q + 1. Let j be p(-3). Let y = -93.05 + 94.05. Which is the closest to -2\/3? (a) 1\/6 (b) j (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*j + 338*j - 42482 = -369*j - 14231 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2*q + 2*q + 2 + 2*q - 3 - 3*q. Let g(j) = -4*j. Calculate v(g(z)).\nAnswer: -12*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 138 + -128. Suppose d*t + 14 = 24. Is 2042 - (t + -16)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 2, -0.4, 1\/20, -1, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (-2*sqrt(7) - sqrt(7)) - (sqrt(112)\/sqrt(4))\/sqrt(4))**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.052013 years?\nAnswer: 0.00052013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 - 9*x**2 - 12*x - 7. Let h(y) = 2*y**3 - 9*y**2 - 12*y - 6. Let t(l) = -2*h(l) + 3*o(l). Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(2\/7))\/s)**7*(s**(-2\/3)\/s)**(-48)*((s*s**0\/s*s*s)\/s)\/s**(2\/3)*s**(-2\/5)*s*s\/s**(1\/2) assuming s is positive.\nAnswer: s**(2503\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1, 0.13, -1\/7, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 2*u + 9 = -3*n, -15*n - 5*n - 351*u + 1059 = -23*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 6:27 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/27 and -119\/167508.\nAnswer: 167508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -18 + -790c5?\nAnswer: -790dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 197 = -c, -583 = -5*v + 2*v + 5*c. Let a = v + -117. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/(-8) - -1)*8. Suppose -l + 5*f + a = 0, 0 = -4*l + 2*l + 3*f + 13. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 17, 0.5, -0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -46889463*n + 37529329 with respect to n.\nAnswer: -46889463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 + 5*k**2 - 2*k - 12. Let q = -278 - -273. Determine r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*y = 49 - 13. Find the common denominator of (8\/56)\/(2*y\/(-138)) and -1\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 20 + 3333?\nAnswer: 10013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 969, 1929, 2885, 3837?\nAnswer: 4785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 8*i**2 + i - i. Let j(n) = 15*n**2 + 15 + 28 - 3*n**2 - 43. Determine j(a(z)).\nAnswer: 768*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 128560494 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -166*p**4 - 52*p**3 + 169*p**4 + 53*p**3 + p - 43 - 2*p**2 to the form f*p**2 + v*p**4 + k*p**3 + g*p + s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 643 (b) -0.2 (c) -0.4 (d) -5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 2*h + 12 = a, 2*a = h - 3. Let v(n) = n**2 - 4*n + 3. Let w be v(h). Suppose -3*y = 3*t - 6, -t - 5*y + 1 + 13 = 0. Is w greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/64 and 37\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 56768, 51546, 46312, 41060, 35784, 30478?\n\"Answer: -x**3 - 5215*x + 61984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4\/9 (b) -68 (c) -3 (d) 4 (e) -3\/2 (f) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*c - 16*c + 37*c**3 - 17*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -136257000 rounded to the nearest one million?\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -703448 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 48 = -25*m. Let l(c) = -127 + 58 + 48*c**2 - c**m + 69. Let y(o) = 2*o**2. Calculate l(y(x)).\nAnswer: 188*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5125*c**5 - 496*c**4 + 269*c**2 - 11897*c + 1.\nAnswer: -307500*c**2 - 11904*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 - 30) + -5 + 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the second derivative of 1\/6*a**3 - 2*a**2 + 0 + a. Let p be y(7). Solve 2 - 5 = -p*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/((-54)\/(-3)))\/(((-460)\/69)\/4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**3 + 53452*q**2 - 856000*q + 3425024.\nAnswer: 4*(q - 8)**2*(q + 13379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 60 and 135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 - 6*g + 2. Let o be d(4). Calculate the smallest common multiple of (-44)\/(-24) + (-1)\/o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 11322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**2 - 20829*s - 33644520.\nAnswer: 3*(s - 8295)*(s + 1352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4 - 9\/3) + 3. Suppose p = 4, -b*k + 3*k - p + 310 = 0. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-14608)\/66)\/83)\/(16\/(-94))?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 45*j + 437. Let q(g) = -8*g - 1. Give -6*q(h) - s(h).\nAnswer: 3*h - 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3940*m + 2978 + 1876 = -2143*m - 4131 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2892*y**2 + 1453*y**2 + 1466*y**2.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2690*q + 1288478. Calculate g(-479).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -5*a**2 + 19*a + 5. Give z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.4 (b) 37 (c) -7 (d) -5 (e) -1\/49 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6370 is divided by 1968.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from thhhhhhtthhtthhhht. Give prob of picking 1 t and 2 h.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + 143152110?\nAnswer: 143152102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 3830*h**2 - 2*h + 4. Let j be s(4). Suppose -j + 166189 = 9*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 9*p + 4 = 7*p - 62, 131 - 17 = -2*p - p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -278, 4, -1, -4, 0 in decreasing order.\nAnswer: 4, 0, -1, -4, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (1 + 9) - ((9 - 3) + -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5*((-13)\/(-208))\/(1\/30)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -33 + 38. What is the second derivative of -2*h**a + 125*h - 107*h - 21*h**5 wrt h?\nAnswer: -460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -170*b = -21*b - 1043 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 19426 and 604855.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (57\/171 - 11\/(-6)*-4) + 234. Solve 4*x + s - 211 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.9 times 300?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 2*x + 3*x + 2*x. Let o(z) = 77*z - 110. Let k(c) = -20*c + 30. Let d(q) = 11*k(q) + 3*o(q). Determine s(d(n)).\nAnswer: 77*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4 - (0 + -1)) + -1. Let p be -1*(n - (-4 - 0)). Suppose p = -l + 6*l - 310. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/6*(1 - (-28)\/(-44)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*h**5 - 5*h**5 + 4*h**5 + 0*h**5 - 2*h**5 + 0*h**5 + (4*h**2 - 4*h**2 + h**3)*(-2*h**2 - 3*h**2 + 6*h**2) + (0*h - h + 4*h)*(-3*h**4 + h**4 + 3*h**4).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2710908 or -2710937?\nAnswer: -2710908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 2*c = 0, 182622*c - 20 = 2*k + 182623*c for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11065 - 11079 = -14*g. Which is the second biggest value? (a) 2\/5 (b) 4 (c) 1\/4 (d) -40 (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -113\/702 and -25\/12.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 30921 (b) -0.4 (c) -232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 - 4. Solve 0 = m*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 3, o: 4, s: 1, f: 2}. Give prob of picking 1 s, 1 o, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 980 = 2*r + 2*r. Suppose -s - 261 = -5*a - 2*s, -5*a - 5*s + r = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 75.3 - 71. Let t = w - 4. Let r = t + 0.7. What is the smallest value in -2, r, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -2799654*n**2. Let h(v) = 5*v. What is k(h(t))?\nAnswer: -69991350*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1 + 0 + -1)\/(-2). Let a(l) = l**2 + 6*l - 5. Let d be a(-7). Suppose -d*h = -3*h + 1. Is h less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 194558 is divided by 27793.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48 - 119 + 60 + 107 + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 8 (b) 6 (c) -68 (d) 1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the third derivative of -1331\/840*k**7 - 2*k**2 - 143\/40*k**5 - 1\/3*k**3 + 0*k - 35\/24*k**4 + 0 - 2057\/480*k**6. Find a such that x(a) = 0.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 11*g**2 + 3*g + 5. Let u(b) = -8*b**2 - 4*b - 5. Let l(m) = 3*k(m) + 4*u(m). Let x(c) = -5*c + 25. Let q be x(3). Calculate l(q).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2384\/(-5120) + (-42)\/(-35) and 77\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4410433 (base 7) to base 9.\nAnswer: -1013314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8985108 and 4988?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 30420*t**4 - 10*t**2 + 6*t + 15?\nAnswer: 730080*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 63 and 8064.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) 3 (c) 2\/5 (d) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + sqrt(325))**2 + -3 - (4 + (sqrt(468) + (-2 + sqrt(468) - sqrt(468)))**2 + sqrt(468))) + -1.\nAnswer: -130 + 68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 2*q + 20 = 0. Let c = q + 7. Suppose 0 = -c*a + 6 + 21. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -16 times -0.1088052\nAnswer: 1.7408832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 7\/28*-4*(-1 - 11). Calculate the greatest common factor of 84 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*p + 1340 - 1340.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, m: 17}. Give prob of picking 3 m and 1 s.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 4, b: 1, w: 6}. What is prob of picking 3 w?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 2*w - 5 - 5 + 4 - w. What is h(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - b = -2*y - 48, y + 57 = 5*b. Let l = 15 - b. What is the third derivative of 2*j**5 - j**4 + 3*j**2 + 6*j**l - 5*j**4 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 2*x**2 - 5*x. Let c be j(3). What is the third derivative of -5*i**5 - 10*i**2 - 18*i**3 + 18*i**c wrt i?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1\/2, 45, -2\/27, 0.1, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the second derivative of 5*l**4\/12 - 2230*l**3 + 4475610*l**2 - 4238*l. Let w(j) = 0. Calculate j.\nAnswer: 1338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1686 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: Divide -115 by 667.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - ((1 + 1 - 5) + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1342648?\nAnswer: 2, 23, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from {c: 4, v: 3, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 5*f**2 - 165136900*f - 165136905 = 0.\nAnswer: -1, 33027381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) 6\/13 (d) 7887\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 905912846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000076240807 to seven dps.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - o + 0)*(3*o - 4 + 4) + 3*o**2 + o**2 + 4*o**2 - 2*o**2 - o + o + (-1 - 1 + 3)*(3*o + 2*o**2 - 3*o) - o + 2*o**2 + o.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 390189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 40 - 20. Let s = 29 - v. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**3 - 8*y**2 - 4. Let o = -25 + 26. Let r(p) = -8*p**3 - p**2 - p + 2. Let q be r(o). Determine w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -431513.27982 and -455?\nAnswer: 431058.27982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -3387277 divided by -3387277\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 173 - 155. Suppose -l*o = -9*o - 432. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -29 + 16*w + 9 - w**2 + 13 + 13. Let d be h(7). What is the highest common divisor of d and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = q, 5*q - 10 = b + 4*q. Is b <= -18\/1559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k. Let i(v) = v**2 + 2. Let g(m) = 2*i(m) - 6*w(m). Let u = -7 + 13. Let x be g(u). Solve -3*h + 0*s - 5*s - x = 0, 4*h - 2*s + 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x + 2*a + 5, x - 4 = -0*x + a. Suppose -4*z - k + 96 = -51, -3*k = -x*z + 114. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 64 = -5*p, -4*b - 2*p - 26 = 42. Is 18 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 883*o*v**2 - o - 2*v**4 - 74 wrt v.\nAnswer: 1766*o*v - 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65523369.\nAnswer: 3, 467, 46769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Round 8551127 to the nearest 10000.\nAnswer: 8550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 20*b + 117. What is h(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the second derivative of a**4\/6 + 19*a**3\/6 + 2*a**2 - 7*a. Let y be w(-10). What is the highest common factor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-6)\/f**(3\/7)*(f**(-2)\/f)\/(f\/((f*f*f\/f**(1\/2)*f*f)\/f))*((f*f**(-5\/4))\/f**5)**(5\/13) assuming f is positive.\nAnswer: f**(-3257\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 2 + (-3*(sqrt(180)*1 - sqrt(180)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -21259*s + 44056*s - 21600 = 22122*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 13253, 13269, 13303, 13361, 13449, 13573, 13739?\n\"Answer: d**3 + 3*d**2 + 13249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 11, n: 1, y: 3, k: 5}. What is prob of picking 1 y, 1 k, and 1 n?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(2 + sqrt(272))*-1 - 1*sqrt(272)*5*-1)**2.\nAnswer: -96*sqrt(17) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/6 + 435\/290.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8654*x = -8644*x - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14122\/(-921))\/((-4)\/(-6)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 155.346 - 136.47.\nAnswer: 18.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*h - 7*h - 12. What is the smallest value in 0.1, h, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/4, -1.2, -26, -181\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 7*z + 295. Let u(j) = -2*j**2 - 102*j - 1257. Let f be u(-32). Calculate y(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 141057 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 134304 divided by 3?\nAnswer: 44768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 65403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t + 3*t - 4*t)*(-3 - 2 - 1) - 4*t + 0*t + 5*t + (0 + 0 + 2*t)*(0 - 4 + 6).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (i + 0*i + 0*i)*(0 + 1 - 3)*(i - 5*i + 0*i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**13))\/(g**10*g*g*g)*(g**0)**(-1\/6))**(-33) assuming g is positive.\nAnswer: g**858","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 142 - 142.2. What is the second smallest value in -0.07, -3\/4, m, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 5:47 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (10 - 8) + (-3)\/(3\/10330). Let v = 185965\/18 + y. Find the common denominator of v and 101\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, z: 7}. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the third derivative of n**8\/336 + n**7\/35 + 22*n**5\/5 - 21*n**2. What is the third derivative of f(s) wrt s?\nAnswer: 60*s**2 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 956\/1673 - 895\/35?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 215187 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -4*u. Let a be y(-4). Suppose -5*p = -8*p + 9. Let v = p + a. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -13, -4, 16, 3, 20.\nAnswer: -13, -4, -3, 3, 4, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + (-2 - 11) + 12 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/((-400)\/12))\/(6\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3841*-7*(660\/(-105) - -6).\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72*b + 36*b + 27*b - 82*b.\nAnswer: 53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the first derivative of f**3\/3 - 28*f**2 + 343*f - 762. Let s(d) = 0. Calculate d.\nAnswer: 7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 1 + 0)*(11*n + 0*n + 6*n)*(4*n + 2 - 2)*(-7 - 6 + 10) to the form i + d*n + a*n**2 and give a.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*q - 10*w - 105317 = -105532, 0 = -3*q - 2*w + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 150832871 to the nearest integer?\nAnswer: 12281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -3329 > -617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6\/(-5))\/((-4)\/((-280)\/(-21))). Suppose s*v = 12 - 0. Solve 0*x + 6 = v*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 400.383 nanometers?\nAnswer: 0.400383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -257, -1014, -2275, -4040, -6309, -9082?\n\"Answer: -252*m**2 - m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1137*j + 17385*j + 20953*j - 1316*j + 3709*j - 894*j)*(-2*j**2 - 8 + 8) to i*j**3 + m*j**2 + c + n*j and give i.\nAnswer: -81948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 114578638 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 - 2)*(0 + 0 - 4)*(1 - 2 + 5)*(8*i**3 + 3*i**5 + i**5 - 10*i**3).\nAnswer: 256*i**5 - 128*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 100491 - 100491 + 2238*z. Let v(o) = -4*o. Determine l(v(p)).\nAnswer: -8952*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 134973 less than 944812\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - (-8 + (2 - -14) + -18)) + 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 63324615?\nAnswer: 3, 5, 4221641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/10 + 3\/(-15). Let h be 0 + 2 + 218 - t. Let z = h + -124. Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101111 (base 2) in base 14?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(((-10)\/24)\/(70\/(-126))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 44578966.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 35559755147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 7*h + 46, -17*h + 16*h + 8 = -5*c. Put -4, 0, c, 3, -545 in descending order.\nAnswer: 3, 0, c, -4, -545","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29 + (14 - (93 + -150))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-11 - (-6 + 2 + 1)) + 11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 + 804\/51 + 143\/(6006\/(-504)))\/2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 23.657 + -23.8. Let w = 0.073408 - -0.069511. Let l = w + x. What is l rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -118.1 + 123. Let k = -5 + d. Let h(m) = -m - 18. Let o be h(-18). Which is the closest to o? (a) -0.3 (b) k (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2 - 2963*q - 20692.\nAnswer: -(q + 7)*(q + 2956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1530385 a multiple of 1428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 3*n = 288. Let b = -3 + 3. Suppose v + b*v = n. Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 7 = -4, -5*z - 3*s = -19. Let t(c) = -3*c**2 - 3 + 15 - z*c - 13. Suppose 2*i = -4 - 2. What is t(i)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.01, 2243, 0.2, -2, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -71\/2814 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 + 4*r - 32. What is f(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 41 = -3*b + 4*d, -50*b = -51*b - 4*d + 13 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*o + 16 = 16*o. Solve 4*z - 3*w = -1 + o, 3*z - 10 = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 - 0.0058.\nAnswer: -4.0058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 0*r - 3. Suppose r*m - 2*d - 77 = -4*d, 3*m - 65 = d. What is the remainder when 28 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (-2 + 8 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -206*p - 1. Let w be r(-4). Let q(t) = 1000 + t**2 - 134 + t + w. Is q(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 17eb (base 15) to base 2.\nAnswer: 1010000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2. Let p(i) = 121*i - 288*i - 461*i - 148*i. Calculate k(p(d)).\nAnswer: -602176*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 225 - 402 + 177 + 1078*k to the form a*k + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 349756.38 plus -2765.04?\nAnswer: 346991.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 222375, 222373, 222371?\nAnswer: 222369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 8:18 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 2*z**2 - z - 1 - z**2 - 2*z**2. Suppose -11*c + 16*c = 10. Determine o(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1259 - 1225. Calculate the highest common divisor of k and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 4*h = -5*n + 86, 0 = -3*n + 3*h + 54. Suppose 129 = n*x - 239. Solve -4*k = x - 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1980 a factor of 1003071960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 75 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 4, q: 3, e: 4, s: 3}. What is prob of sequence kqse?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2567aa + -1?\nAnswer: -2567ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve u**3\/5 - 426*u**2 - 4267*u\/5 + 6396\/5 = 0 for u.\nAnswer: -3, 1, 2132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/48*(-80)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 77024848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 plus -831013?\nAnswer: -831012.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 376, -4, -3 in ascending order.\nAnswer: -4, -3, -2, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(4\/3)*z)\/z**(-5\/3))**(-3)*((((z**(-1)*z*z)\/z)\/z)\/((z*z**3*z)\/z))\/((z**(-1\/6)*z)\/(z*(z**(5\/2)*z)\/z)) assuming z is positive.\nAnswer: z**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-12)\/3*5*11\/(-220).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6297, -6975, -7653, -8331, -9009, -9687?\n\"Answer: -678*p - 5619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -10 + 8 - 9 - m. Let q(j) = j + 20 + 40 - 60. What is q(u(i))?\nAnswer: -i - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2515108 and 1524?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 998370674.\nAnswer: 2, 7, 71312191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - ((-1 - -2) + 34 + -30) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 + -14. Let c be (-22 + -1)*(f - -1). Calculate the highest common factor of 92 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m\/m**(4\/3))\/m**(-4\/7)*((m**1\/m)\/m*m)**(-28)*(((m**(1\/4)*m)\/m)**(-21\/5))**38 assuming m is positive.\nAnswer: m**(-8119\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) -0.4 (c) 62243.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0*(-22)\/(-11)*1\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 366308 - 193647. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -274, -550, -824, -1096, -1366, -1634?\nAnswer: -1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 + 11*r + 129. Determine s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 489 in -17\/4, -1, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 3*x - 3 = 9, -5*x + 20 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1 + 5 + (-7 - (-3 - 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.184 - -93.184. Let a = y - 99. Put a, -5, 4 in ascending order.\nAnswer: a, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 3*h + 27, -a + 5*h = -8 + 31. Let s be 2\/a*3\/(-2). Let d(o) = 36*o**3 - 2*o**2 + o. What is the remainder when d(s) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from unsuusfnu. Give prob of sequence usf.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -4*n + 0*n - 8*n + n**2 + 16 - 2*n. Let f be k(13). Solve -f*h = -h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4773 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 809296805 to the power of 1\/2, to the nearest integer?\nAnswer: 28448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*d**2*k**4 - 107*d**2 - 32*k**4 wrt k.\nAnswer: -8*d**2*k**3 - 128*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8511 - -8639. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76)*-3 - sqrt(76))*-5 + 3*sqrt(76)*4 + sqrt(76))\/((5*(sqrt(8) - (sqrt(8) - 1*sqrt(8))))\/(1*sqrt(18))).\nAnswer: 99*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -57 + 65.1. Let j = 28.3 + -19.2. Let a = r - j. Sort -0.3, 0.03, a.\nAnswer: a, -0.3, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1040967 and -48.\nAnswer: 49966416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (0 - 2) + 6 + -22 + (1 - -5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-722)\/3 + (-18)\/(-27). Let n be ((-1)\/(-3))\/((-10)\/f). What is the second derivative of 3*c**3 + 5*c**2 - 5*c**2 - 2*c**3 + n*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) 1 (c) -0.3 (d) 5 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 328181093.\nAnswer: 1061, 309313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -4*g**2 + 1. Let n(s) = s - 13. Suppose -3*q + 153 = 6*q. Let l be n(q). Let h(t) = -l*t**2 + 6*t**2 + 2 - 2. Give x(h(b)).\nAnswer: -16*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((-2*sqrt(336))\/sqrt(7))\/(sqrt(80)\/(sqrt(10) + sqrt(10)*2)))\/((-5*sqrt(384))\/(sqrt(88)\/(sqrt(11)*2))))**2.\nAnswer: 9\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: 0.93 times 0.150505\nAnswer: 0.13996965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cch when three letters picked without replacement from {u: 2, m: 1, x: 1, h: 1, c: 2, q: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -734245 (base 9) to base 2.\nAnswer: -1101010011110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -32163514 (base 7) to base 4\nAnswer: -22130203321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19 - 11. What are the prime factors of (r\/4)\/((-2)\/4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2218766.8 from -64.\nAnswer: -2218830.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2.833889 rounded to 3 decimal places?\nAnswer: 2.834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 183\/5, -1\/23, -9?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124 = 22*r - 212. Let q(h) = -3*h + 23. Let a be q(6). Solve -4 = 5*v + n + 5, -r*n + 14 = -a*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 21831012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -356 (b) -160 (c) 0.3 (d) 252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r + r - 3*r)*(-334492907 + 2*r + 334492907 - 5635*r**2)*(0*r**2 - 4*r**2 + 3*r**2).\nAnswer: 5635*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*c - 290 - 743 + 69.\nAnswer: 2*c - 964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 306*h*j**2 + 243*h*j - 2336*j**2 - 15*j - 5 wrt j?\nAnswer: 612*h - 4672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-20)\/(-4) - 7) + 101\/1 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41407225 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 - 7*t + 9. Let l be u(6). Suppose 5*w - 2*m - l - 7 = 0, 4*w - 4*m = 8. Suppose w*g + g + 3*p = 369, -4*p = -12. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 91002265 to the nearest integer?\nAnswer: 9540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -16 + 61. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 178 and 1091140.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3456 - 3457. Suppose -3*h - 4*o + 31 = -27, 4*o - 80 = -4*h. Let i be (-6)\/h*1\/3. Which is the second smallest value? (a) 8 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33056?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -20*u + 359. Calculate r(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 5\/6 (c) 1\/3 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -1789*s**2 - 368534*s - 63. Give w(-206).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, f: 1, z: 7}. Give prob of picking 2 z.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7.1 + 273.891.\nAnswer: 266.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1\/271 + 551\/2439. Let i = 0.4 + -0.9. Which is the second biggest value? (a) m (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 56*h**4 - 6*h**2 - 13*h**4 - 17*h**4 - 22*h**4 + 17*h**3 - 3 to the form z*h + b + y*h**3 + n*h**4 + g*h**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 590 = 2*q + 112. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from skeosyssesfyefkso. Give prob of sequence efk.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 153503?\nAnswer: 7, 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 464 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2631, 2646, 2677, 2730, 2811?\n\"Answer: n**3 + 2*n**2 + 2*n + 2626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -67*o**3*p - 12*o**2*p - 2*p - 440 wrt o?\nAnswer: -201*o**2*p - 24*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -201, -405, -609, -813, -1017?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (17 - 17 - 6*k)*(2 - 4 + 0 + (-5 - 1 + 4)*(-2 + 3 + 1) - 2 + 1 + 0).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13.0000032 + -13. Round y to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 7 = 3*c. Let y(g) = 2*g + 14. Let k be y(c). Suppose -p + 435 - 116 = k. Calculate the greatest common divisor of 29 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes before 11:07 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -15594 - -1313?\nAnswer: -14281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -0*p - 18. Let y = -5 + p. Suppose -77 = -y*a + 5*x - 19, 7 = a - 5*x. Calculate the remainder when a is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 t, and 1 i when three letters picked without replacement from {n: 1, t: 2, x: 1, v: 2, d: 1, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 2 + 0*a + 4*a + (-2 - 1 + 5)*(-1 + 2*a + 1) as i + w*a and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2136637 + 2135653 - 4272290 - 8*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of l**2*o**2 - 30*l**2*o - 420*l + 14915265*o**3 + o - 11 wrt o.\nAnswer: 2*l**2 + 89491590*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13302 + 3*o - 2*o - 49571 + 1011.\nAnswer: o - 61862","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 41219697983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y - 39 - 31. Let i(t) = t**3 + 14*t**2 + t + 5. Let g be i(y). Is (g\/(-36))\/(2*(-2)\/(-9008)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*c - 59 = 4*c + 1621 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87 - 18 = -5*x. Let v be (3 + 22\/(-8))\/((-7)\/x). Which is the closest to v? (a) -2\/21 (b) -0.02 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 9908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 7*p**3 + 8*p**2 - 4*p + 1. Let n(m) = -1 - 5*m**3 - 3*m**2 - m**3 - 4*m**2 + 3*m. Let g(o) = -6*n(o) - 5*z(o). What is g(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 832 and 208?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 740*o + 21458. Give n(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5740)\/(-287)*(-4)\/10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 - 5. Let u(l) = l**2 + 2*l - 4. Calculate the remainder when u(a) is divided by (-16)\/(-6)*9\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.9 take away -425755.5695126?\nAnswer: 425765.4695126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -2*s + 16. Let h be a(6). Let k = 2753\/35 + -394\/5. What is the second biggest value in k, -2, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 13 - -2203?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes before 2:57 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.5 + -3. Let v = -72 + 145. Let x = v - 76. Which is the closest to x? (a) -3 (b) s (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-1 - 1 + 0)*(-1 + 1 + 2*m) - 2*m + m - m)*(-m - m - 2*m) to the form f*m**2 + n + c*m and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*m + 26*o - 22*o, 0 = -2*m + o - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -62 = -5*y + 5*d - 2, -d = -4*d - 12 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -217*p**2 - 219*p**2 + 431*p**2 - 44*p - 3 + 3 - 2*p**2 + (2 - 2 + 6)*(-p**2 + p**2 + p**2).\nAnswer: -p**2 - 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*i**2*w**3 - 21*i**2 + i*w**3 + 3*i*w**2 + 2*i*w wrt i?\nAnswer: -10*w**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.4 + -2.4. Let q = 835 - 834. Let l be (-4)\/2 + -1 + 2. Put q, l, o in increasing order.\nAnswer: o, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 5, d: 5}. What is prob of picking 2 x and 1 d?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 34 = -o, 5*t + 208922 = -5*o + 208782 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the third derivative of -i**5\/12 + 3*i**2 - 38. Let j(c) = -14*c**2. Give j(v(y)).\nAnswer: -350*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4018, 8040, 12062, 16084?\nAnswer: 20106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are 1637\/7 and 233 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2607 + -1387. List the prime factors of a.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the second derivative of -c**4\/15 + 2*c**3\/3 - 8*c**2\/5 + 31*c. Factor y(h).\nAnswer: -4*(h - 4)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -16201 - -16200. Which is smaller: 1\/12635 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-9)\/(-2)*((-23)\/138 - (-5)\/18). Let 1\/2*d**2 + 1\/6 + i*d + 1\/6*d**3 = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -8. Suppose -378 = -2*n - 7*n. Suppose -12*m + 15*m - n = 0. What is the least common multiple of r and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 0 - 1)*(-2*h**2 - 5*h + 2*h - 7*h) as w + z*h + g*h**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12717 is divided by 4223.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -238 + 242. Suppose n = s + 1. Solve 0 = s*l + 19 - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**2 + 19*g - 5944 + 16*g + 6034.\nAnswer: -5*(g - 9)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2973075 - -5548475. Round s to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36253951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8020, 16046, 24074, 32104?\nAnswer: 40136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -0*x - 5*p - 16, -4*x + 16 = -2*p. Sort -8, x, -5 in decreasing order.\nAnswer: x, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the third derivative of -1\/27*b**3 + 4\/135*b**6 + 1\/12*b**4 - 4\/45*b**5 + 0 - 3*b**2 + 15*b. Suppose u(o) = 0. Calculate o.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*k + 10*k - 4. Solve -2 = 4*j + 2*o, o + 1 = -k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/3710 and -99\/168434.\nAnswer: 842170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kudbzwbbdkk. Give prob of picking 1 u, 1 k, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 56\/(-63)*(-9)\/(-42).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -y - 2*l + 6 - 9, -y + 21 = -4*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 50 + 7 = 0. Is 43 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 6019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -3*z. Let x(o) be the second derivative of 0*o**3 + 0 + 0*o**2 - 5*o + 1\/2*o**4. What is x(c(i))?\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.9 + -0.1. Let n = d - -1.2. Suppose -3*t - 8 = 3*h + 7, -2*t = 3*h + 11. Which is the third smallest value? (a) n (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1893)\/15144)\/(2\/(-432))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 11648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -63 or -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/7 + (1 - 1). Suppose p + 5 - 3 = 0. Let k = -7\/3 - p. Which is the nearest to 1\/4? (a) k (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.2*225965.\nAnswer: -271158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -49 + (0 - 0) - (9642 - 9664).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -89 in 1, -4, 2\/5, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/14 + 184\/(-28) + (-6)\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -11020 + -133\nAnswer: -11153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21, -16, 1, 36, 95, 184, 309?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fwpgaafaiafi. Give prob of picking 1 w and 2 f.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 50661 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*f + f + 6 + f + 3.\nAnswer: 2*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**2 + 2*d + 1. Let v be a(3). Let s be 10\/1*(-1)\/v. Suppose 0 - s = -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: Find the second derivative of -2*u**5 - 4039146*u**3 + 2*u - 1022338 wrt u.\nAnswer: -40*u**3 - 24234876*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from mbwwbnbcbbkmn?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 550*o - 173*o + 431*o in the form z + w*o and give w.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.4 in -0.1, -0.4, -0.05, -1\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5685, 20858, 46247, 81936, 128009, 184550, 251643, 329372?\nAnswer: 417821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/983 in 1\/3, 3.4, 1, -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(153)*1)\/sqrt(9).\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 4 = -4*u, 0 = 404*y - 405*y - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1134*n - 1 + 1137*n + 1.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12)\/200*(-35)\/252. Let n(i) be the third derivative of 0*i**3 - t*i**6 + 0*i - 1\/30*i**5 - 1\/24*i**4 - i**2 + 0. Factor n(y).\nAnswer: -y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*n - 12*n - 522. Let m = 104 + n. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 4*s**5 - 336*s**4 + 6624*s**3 + 16360*s**2 - 34596*s - 43992 = 0.\nAnswer: -3, -1, 2, 39, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*m = 17*m - 192. Calculate the highest common factor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 498216885 to the nearest integer?\nAnswer: 22321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 303*k = 307*k - 4*o + 16, 3*k - 31*o = -264 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**3 + 225*r**2 + 725*r - 10269. Give s(228).\nAnswer: -921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.04 times 0.293\nAnswer: 0.01172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2\/3)\/r**1)\/((r*r\/(r**(-2\/11)*r)*r)\/((r\/((r*r**(-4)*r)\/r))\/r*r)))**(20\/3) assuming r is positive.\nAnswer: r**(100\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 45443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48323?\nAnswer: 11, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 744 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20111 - 1?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -219*s**3 - 4 - 222*s**3 + 2 - 62*s + 443*s**3 to the form d + i*s + r*s**3 + x*s**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -4*v**3 - 2*v**2 + v - 2. Let d be s(-2). Suppose -4*i - 8 = -4*q, -4*i + 2 = q - i. Let x be (q\/2)\/(4\/20). Solve -d - 5 = -x*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:38 AM and 8:11 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8567 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3195 at least 3156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0, -4, 59443, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 0, 3, 59443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be (8\/6)\/((-150)\/(-9)). Let y = 17\/100 + r. Which is the nearest to y? (a) 0.01 (b) 2\/13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 1 - 3)*((5 - 1 - 3)*(d**2 + 0*d**2 - 3*d**2) + d**2 + 2*d**2 - 2*d**2) in the form r + f*d**2 + i*d and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -0*o - 6*o. Suppose 4*m + 6 = 5*a - 3*a, o*a - 12 = -5*m. Suppose m = 25*s - 21*s - 56. Calculate the remainder when 39 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 24 in -0.2, -13, -0.149, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 15 = -7*x. Let u = 7 - x. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 19708.79g?\nAnswer: 19.70879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/30 and 372\/7*1\/8.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/6537, -19.3, -24, 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 168 + -34. Let r = -195 + m. Let d = -25 - r. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8 - 7) + (-968)\/(-64). Does 15 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -5, 1, 175 in decreasing order.\nAnswer: 175, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 244799?\nAnswer: 43, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -7*n - 57. Let h be g(-9). What is the derivative of 66*l**2 + 62 + h - 65*l**2 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2911*h**5 - h**4 - 27307*h**2 wrt h?\nAnswer: 174660*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 149*f**2. Let m = 38 - 36. Let j(n) = 15*n - m*n - 13*n + n**2. Determine j(x(r)).\nAnswer: 22201*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(2 - (-8)\/(-6)). Let a = -7.5 + 9.56. Let c = -0.06 + a. Is c less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) -4 (b) 2 (c) 395.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/39, -0.5, 8\/5 in ascending order.\nAnswer: -0.5, 5\/39, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (29\/20)\/((-12)\/(-5)) and ((-874)\/80 - -11)\/((2808\/3090)\/(-13)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -40*p + 100*p - 17*p + 16*p**2 - 43*p. Let t(q) = 7*q**2 - 5*q. Let w(z) = -3*z**2 + 3*z. Let m(u) = 3*t(u) + 5*w(u). What is v(m(x))?\nAnswer: 576*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -54.8 times 0.184?\nAnswer: -10.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.37, -0.3, -4\/5, -1177, -2.\nAnswer: -1177, -2, -4\/5, -0.3, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m - m - m)*(-2*m + 5*m - m) - m + m + m**2 + 4*m - 4*m + m**2 + (-5*m + 4*m - 6*m)*(3 - 2*m - 3).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s**3 + s - s)*(0*s - 4*s + 3*s) + (-44*s + 44*s + 36*s**2)*(4*s**2 - 4*s**2 - s**2).\nAnswer: -38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 112 divide 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 33, -141, -439, -867, -1431, -2137, -2991?\n\"Answer: -c**3 - 56*c**2 + c + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3*(2 - (-12)\/(-9)). Let f be 21 + 3\/6*b. Suppose w - 3*w = -f. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -3*a - u, 5*u - 7 = -2*a + 4. Suppose a*k - 5*k = 6. Let d = 1 + k. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 886403?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 101 at least 10888\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 332d9b (base 14) in base 4?\nAnswer: 12220002331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -719 equal to -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 106406 divided by 106406?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/78 and 27\/5361548.\nAnswer: 209100372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from uuiquqfvvdduiiufvqd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 65 - 63. Solve 13*f**r - f**2 - 11*f - 6*f**2 + 6 - f**3 = 0 for f.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9816807?\nAnswer: 3, 7, 11, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**1)**(-47\/3)\/(t**0*t*t)**(-5\/8))**(3\/5) assuming t is positive.\nAnswer: t**(-173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-318)\/(-30) - (-84)\/(-140)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2. Suppose -9*f = -28 + 1. Let r(j) = f*j**2 - 18 + 2 - 14 + 0. What is y(r(l))?\nAnswer: -9*l**4 + 180*l**2 - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12 + -17. Let n be z\/((-10)\/252) - 1. Suppose 20 - n = -5*u. Calculate the remainder when u is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -5*w**2 - 265*w - 2152. Give s(-55).\nAnswer: -2702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the first derivative of l**3\/3 + 9*l**2 - 107*l - 2357. What is u(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 13, -1, 1 in decreasing order.\nAnswer: 13, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eeeyeeegeeeeeyggeeee. Give prob of picking 1 y, 1 e, and 2 g.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be 33\/36 - 1 - 0. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -5*(5 + (-366)\/75). Which is the second biggest value? (a) k (b) -3 (c) 228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 14*p + 156*p + 2243 + 83*p wrt p?\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2338 - -2372. Let f be -2*2\/(12\/369). Let s = y + f. Is -90 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes before 3:34 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-1) + 30*(2 + (-246)\/132).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -4, 79, 278, 641, 1216, 2051, 3194?\nAnswer: 4693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/(f\/(f\/f**(-1)))*f*f)\/f*(f*f**(4\/3)*f)\/f)**(-9))**(-14) assuming f is positive.\nAnswer: f**672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**3 + 9*n**2 + 10*n - 1. Suppose 7*c = 3*c - 8. Let l = 11 + c. Is k(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*l**2 + 14 + 2 - 42 - 20 as c + h*l**2 + j*l and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 8*n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13645?\nAnswer: 5, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -9492*a - 94915. Determine d(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h - 8 - 12, g - 2*h = 10. Solve 2*p - g = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 213977*v**4 - 449851*v.\nAnswer: 2567724*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.3 and -50.188.\nAnswer: -50.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -149*u = -105*u - 5412. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 572639 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w - 2*b = 4*w + 4, -1 = -w + 3*b. Suppose 6*a - 17 - w = 0. What is the hundreds digit of a\/(-8) - (-8215)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*i**5 - 866*i**2 - 59266*i wrt i.\nAnswer: -100*i**3 - 1732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.762294l?\nAnswer: 762.294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*n - n - n + (1 - 1 - 1)*(n - n + 2*n) + 7 - 3*n - 7 - n - 4*n - 2 + 3*n.\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 933013*-4\nAnswer: -3732052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rerrrreerrrze. What is prob of sequence zr?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 104461465*k**3 - 39945*k**2 + 2*k - 7.\nAnswer: 626768790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.511 - 1.611. Sort -60, g, -0.3 in descending order.\nAnswer: g, -0.3, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 165 and 9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -70*l**2 - 85*l**2 - 13 + 5*l + 185*l**2. Is f(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 368408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/492742 and 99\/14.\nAnswer: 3449194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*-99.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from {m: 3, t: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3*(-3 + 1)*22\/66. Solve -191*p = -189*p - q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1541299 and 42826?\nAnswer: 151047302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 2*v + 16 = 2*w, -4*w - 4*v + 24 = 0. Let g(x) = 4*x - 4. Let s be g(w). Suppose s*o - 171 = 585. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 + 111202?\nAnswer: 111213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-28)\/(-126))\/(2\/4). Solve 0*l + 2\/9*l**3 + 0 + j*l**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2 - 0)\/(-2) - -2. Let g be 2\/10 - (-29)\/5. Let c(k) = k**2 + 3*k - 20. Let y be c(3). Sort g, f, y in ascending order.\nAnswer: y, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-11)\/(-2) - 5)\/((-5 + 1)\/104).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -61407, -491235, -1657899, -3929817, -7675407, -13263087, -21061275, -31438389?\n\"Answer: -61403*f**3 - 7*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2109 + 2122. Solve -3*m - 18 = 3*g, a = 2*m - 3*g - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**2. Let f(r) = 38243*r. Calculate q(f(v)).\nAnswer: -1462527049*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 5*z**2\/4 - 3355*z\/2 + 2251205\/4 = 0. What is z?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 421 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add -3664031620 and -17.\nAnswer: -3664031637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the second derivative of 33*m**4\/4 + 5*m**3\/3 + m**2 - 58*m + 1. Find the second derivative of z(f) wrt f.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.02 + -0.28. Let n = -0.722 + 0.4252. Let u = m - n. Round u to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 3*c - 1, -5*w + c - 2*c + 9 = 0. Let t(o) = -o**2 + 2*o - 1. Let s be t(w). Is -13*(-2 - -3)\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -52 - -4801?\nAnswer: 4749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/4, 1\/12, 1\/6 in decreasing order.\nAnswer: 5\/4, 1\/6, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 1377239 + 63434.\nAnswer: 1440673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 380 and 20712.\nAnswer: 1967640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -26, 67, 19, 4, -5 in ascending order.\nAnswer: -26, -5, -1, 4, 19, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -61*t**3 - 17*t**2 + 3*t + 13. Let v(j) = 15*j**3 + 4*j**2 - j - 3. Let d(u) = 2*c(u) + 9*v(u). Is 12 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -31*o + 33*o - 17, 3*y = 9. Suppose -3 + 22 = 4*b - 3*q, -3*b = -5*q - 6. Suppose -3 + b = d. What is the greatest common divisor of o and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 50 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h*n**2 - 88*h*n - 12362*h + n**2 - 141*n - 1 wrt n.\nAnswer: 2*h*n - 88*h + 2*n - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 328824105*h**2 + 476956904*h wrt h?\nAnswer: 657648210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 4*g**2 - 3*g - 12. Calculate the remainder when 157 is divided by y(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 624 smaller than 620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149 is divided by 133.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 - 223102032?\nAnswer: -223102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (9*60\/(-80))\/(6\/(-8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -2*v**3 - 14*v**2 + 31*v + 15. Calculate h(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 32, 0.4?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -10*s. Let q(n) be the second derivative of n**6\/360 + n**3\/2 - 3*n. Let z(w) be the second derivative of q(w). Give z(g(a)).\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -b46 (base 16) to base 10.\nAnswer: -2886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 20.71091 - 20.7. What is s rounded to 4 decimal places?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16415 and 15.\nAnswer: 49245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(152)*1*-3)\/(-4*sqrt(72)*-2).\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 188527961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4771 - -17081. Suppose 32*r + l = 42*r. List the prime factors of r.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 7, f: 6}. Give prob of picking 4 l.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/11 in 49, 20.9, -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -33793 + 33853. Suppose -5 = -g, 3*c - 12 = -g + 4*g. What is the least common multiple of y and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s + 2*s - 4*s)*(-3 + 1 + 0)*(-3 + 4 + 2)*(25*s - 27*s - 44*s).\nAnswer: 552*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -2*b**2 - 149*b + 103. Let r(z) = -z**2 - 150*z + 65. Give 3*r(l) - 2*u(l).\nAnswer: l**2 - 152*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 49*x**2 - 4*x + 0*x - 3*x**3 - 3 - 52*x**2. Let n = 4 - 6. Does 5 divide q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/81 (b) 0 (c) 20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/22 + 10\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**2 + 2*o - 1. Let l be n(2). What are the prime factors of 2 + l - -495 - (-4 - -3)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -13 - r + 0*r + 7. Let t be d(-9). Let h be (t - (3 + -3)) + 19. Solve h + 13 = -5*v + 5*i, -18 = -v - 4*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/6*12\/8. Let i = r - 1. Let j(c) = 2*c**3 + 4*c**2 - 4. Let m = 6 + -10. Let f(v) = v**2 - 1. Give i*j(b) + m*f(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -252, -509, -756, -987, -1196, -1377, -1524, -1631?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*n + 5 + 15. Suppose z - n*z = 12, z - 254 = -2*g. Let p = g + -125. Let m(b) = b**2 - 3*b - 5. Determine m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 4.886579l?\nAnswer: 4886.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-59*l - l - 18*l)*(-3 - 4 + 3)*((-1 + 2 + 1)*(2 - 3 + 3) + 2 + 3 - 4)*(4*l + 3*l - 2*l) to the form w*l + c + s*l**2 and give s.\nAnswer: 7800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35303 + -35302. Which is smaller: y or 11\/1332?\nAnswer: 11\/1332","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 2 t, and 1 z when four letters picked without replacement from tizzgzigittgiitiz?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -2*d + 1. Let t(a) = -2*a - 13. Let h be t(-7). Determine r(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1796 + 2080 - 1146)*(1 - 1 - 2*p**3) in the form o*p**3 + u*p**2 + n*p + d and give o.\nAnswer: -5460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/(-16))\/(135\/(-160704)*-31).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m = -17*m + 60. Suppose 134*i - 129*i = m. Let l = 6 + -2. What is the remainder when l is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -402.4341 + -5?\nAnswer: -407.4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1a18 (base 15) to base 4\nAnswer: 1120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -435116655, -870233312, -1305349969?\n\"Answer: -435116657*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -36 + 21. Is -15 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 5*c + 550, 3*v - 5*c = -187 + 549. Let r = 215 - v. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -14*w + 2*y - 34, 3*w + 3915*y + 5 + 4 = 3916*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -214605 + 214602.97498. Let m = -1.967 - 0.053. Let d = m - q. What is d rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0*(12\/8)\/3. Suppose p*z - 55 = -5*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gozg when four letters picked without replacement from {e: 1, g: 2, o: 2, z: 2, w: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 27*u - 18. Let f be g(9). Let n(y) = -17*y - 63. Let l be n(-9). What is the greatest common factor of f and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 6*c**2 - 3*c - 3. Let b(n) = -2*n**3 + 4*n**2 + 7*n + 3. What is the remainder when u(-3) is divided by b(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2*x. Let u(q) be the second derivative of 1\/6*q**3 + 0 + 0*q**2 - q. Calculate u(f(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 756 + 3144. Is 3899 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -348 + 188. Let j = l - -1124\/7. What is the closest to -2 in j, 3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5061930051 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 345*p - 630*p + 291*p. Let d(t) = 325*t - 91. Let m(o) = 18*o - 5. Let k(y) = -5*d(y) + 91*m(y). Calculate k(x(a)).\nAnswer: 78*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117)*-2*3)\/(sqrt(9) + -4*sqrt(900)))**2 + -5.\nAnswer: -61\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 2*s - 1011 = k, -3*s - 4*k = -3068. What is the tens digit of 6\/(-39) + s\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 PM and 9:36 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 4*z = -18, -5*z - 4 = 1. Let t(j) = -31*j**3 - 5*j**2 + 7*j. Let p(a) = 15*a**3 + 2*a**2 - 3*a. Calculate v*p(b) + 3*t(b).\nAnswer: 12*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 478 and 8126239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 + 2. Suppose 12 - 8 = p. Let w(o) = -2*o**2 + 13*o + 9. Let k(b) = -3*b**2 + 15*b + 10. Let f(m) = p*w(m) - 3*k(m). What is f(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -j + 5*x - 25, -9 = -3*x. Suppose 0*k + k = 1, j*y - 227 = 3*k. Suppose 3*w - 5 = y. What is the remainder when 31 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 270.1 and 8.\nAnswer: 278.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 238678 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, b: 1, n: 1, v: 1, r: 1}. What is prob of sequence fb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -886\/7 - -127. Suppose 0*n - 2*a - 14 = -3*n, -a = n - 8. Let g be (2\/(-8))\/(n\/8). What is the nearest to g in -2\/3, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 107 by -38568.\nAnswer: -107\/38568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of 0*n**3 - 9\/2*n**2 + 8 + 11\/15*n**6 - 1\/12*n**4 + 2*n + 0*n**5. Differentiate f(x) with respect to x.\nAnswer: 88*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*u + 46*u - 3*f + 144704 = 0, 0 = 3*u + 3*f - 108528. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 7:31 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -331323 (base 5) to base 16.\nAnswer: -2cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3 - 20*m**2 + 46*m - 28.\nAnswer: 2*(m - 7)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 4, 5, -14, -0.07 in descending order.\nAnswer: 5, 4, 3, -0.07, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 170 - 175. Which is the second smallest value? (a) -1.1 (b) 0 (c) p (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -114*s - 121*s = -738*s - 18611 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -2 + (sqrt(40)\/(sqrt(16)\/sqrt(2)*-3) - -3*(sqrt(5) + 0)*3))**2.\nAnswer: -52*sqrt(5)\/3 + 3389\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 20 (base 11) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/((k**4\/k)\/k))\/k**(12\/5)*(k*k**(3\/11))\/(k*k*k**(-9)*k) assuming k is positive.\nAnswer: k**(213\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -1849 by 2612.\nAnswer: -1849\/2612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2826 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*i + 13 - 13 + 0.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 19215 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13917 + -9395. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -114.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 102490 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46895430?\nAnswer: 2, 3, 5, 587, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -4*o - 2. Let f(s) = 46*s**3 + 2*s**2 - 2*s + 1. Let k be f(o). Suppose 4*q - k - 65 = 0. What is the remainder when q is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2 + 481*o - 255*o - 59*o - 3. What are the prime factors of r(4)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -85 or -9347\/111?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -34*v + 133. Determine l(-1).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 - 17*j + (2*j + 3*j - 3*j)*(-10 + 13 + 15) + 0*j + 0*j - j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide (-2908)\/(-6) - (-290)\/(-174)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bthv when four letters picked without replacement from {b: 1, h: 8, k: 1, v: 8, t: 2}?\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 410.9 - 411. What is the second biggest value in 0.2, s, 4.11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 79 + -82. Let t be (-2 + -1)*2\/15. What is the nearest to 2 in h, t, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xvx when three letters picked without replacement from {x: 10, v: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - (-6 + -7)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 161.8 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 4927695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12580\/21 - -597. Find the common denominator of 43\/15 and j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -30 - 3*t + 35 + 11*t - t**2. Determine f(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + u = -3*p + 6, -5*p + 5*u = 0. Suppose 0 = -4*q + p + 5. What is the third derivative of -22*f + 22*f + 0*f**q - 3*f**6 - f**2 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2607918km in nanometers?\nAnswer: 260791800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**2 - 1. Let h(d) = 11 - 10*d**2 + 11*d**2 - 3*d**2 + 20 - 27. Give 4*g(r) + h(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 29947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*a + 30*a - 14 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 7660665 by 3959.\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-21)\/6*20\/35. Let k = -7 + 11. Let m = 0.6 + 2.4. What is the third biggest value in k, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*o - 11*o - 114 = 0. Let y(p) = p**3 - 14*p**2 + 12*p + 9. Let i be y(13). What is the units digit of 32\/(i - (-28)\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19638016 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1956 is divided by 382?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 502552 equal to 502551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8720300 to the power of 1\/2, to the nearest integer?\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 49*(-34)\/357*(63\/14 + -4)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6.49 + 0.49. What is the nearest to 0.1 in p, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - 5*q + 4. Let f be w(-5). Suppose f*m = m + 27. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 4*j, 76*t - 5*j = 72*t - 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -42 - (30 - 62 - 51).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 5*f**2 - 11*f + 11. Let k be x(1). Let i(t) = -5*t**3 - 5*t**2 + 5. Let p(w) = -3*w**3 - 3*w**2 + 3. Give k*i(v) - 8*p(v).\nAnswer: -v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 3*h - 5. Let q(n) = -3 + 6 - 2*n + 0. Let d be (-142)\/994 - ((-68)\/10)\/((-14)\/10). Give d*z(v) - 7*q(v).\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 15*r - 600. Give k(35).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16584165 is divided by 16584155?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) 2.4 (c) 0.2 (d) -1\/4 (e) 120 (f) 1 (g) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**2 + 14*a + 3. Let d be t(-12). Let j = 2440\/7 - 348. Find the common denominator of j and ((-4)\/6)\/(24\/d).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -2, 0.6, 8, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12049 + 12054. Solve -h*c = -3*t + 6, -5*c + 7*c + t - 2 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.2 and -4141509.014?\nAnswer: 4141508.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 + -7)*(-307)\/(-2). Let x = -550 - w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -32 + 700. Calculate the remainder when t is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 2546951481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 120703 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.05 - 0.03. Let a = -0.009 + i. Let p = 0.01059 - a. What is p rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.96 + -1.958. Let l be 2\/6 + ((-88)\/48 - -3). What is the third smallest value in v, 3\/4, -1, l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -268 + 272. Suppose -u*c - 1225 = -5*i, 3*i - 5*i = 5*c - 490. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the third derivative of -c**5\/60 - c**4\/12 - c**3\/6 - 24*c**2 - 4. Suppose -2*d - 3 = 3. What is y(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:36 PM and 9:52 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-170 + 170 + 9*l)*(-7*l**3 + 2*l - 2*l) + (3*l + 3*l - 5*l)*(2*l**3 - l + l).\nAnswer: -61*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 9, s: 9}. Give prob of sequence vvs.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.05 + -2166255037\nAnswer: -2166255037.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10*p**4 + 16*p**4 - 13 - 11*p**4 wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2994*s + 7579. Is a(96) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 863*t**2 - 1726*t**2 + 867*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*x**4 - 4809081*x**3 + 4*x**2 + x - 974104 wrt x.\nAnswer: 72*x - 28854486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 147, 294, 441, 588, 735, 882?\n\"Answer: 147*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -13 - -23. Suppose 5*d + 0*q - 4*q + 241 = 0, 5*d = -3*q - 213. What is the remainder when 18\/d - (-294)\/10 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-111)\/(-21) - ((-8)\/(-28) - 0). Let q(m) = -m - 1. Let k(j) = -j**3 - 5*j - 3. What is x*q(w) - k(w)?\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13666 + 273389\/20. What is the common denominator of 97\/(-2 + 30\/3) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttz when three letters picked without replacement from zatcgac?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -355814 divided by -66\nAnswer: 177907\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 79*c**3*u**3*w**3 + 5*c**3*u**2 - 2*c**3*u*w**3 + 27*c*u**2*w**3 - 21*u**4*w**2 + u*w**3 wrt u?\nAnswer: 474*c**3*w**3 - 504*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -17019146.\nAnswer: 1\/17019146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -68515*m**2. Let p(c) = -5849*c**2. Calculate p(a(r)).\nAnswer: -27456991261025*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 6*u**2 - 11*u + 16. Suppose -3*i - 10 = -16. Let l be d(i). Which is bigger: l or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -8 + (1 - 0) + ((-144)\/(-4) - 18). Let k(w) = 2*w**2 - 30*w + 46. What is k(t)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -1.4, -0.67215, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 102.9 - 108. Let l = 9.93 - -1.37. Let p = l + w. Round p to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaoa when four letters picked without replacement from aoaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -4*i**3 + i + 1 + i + 0*i + 2*i**3 as k + h*i**3 + o*i + b*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 155886 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1.72 * -27.171\nAnswer: 46.73412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the first derivative of 4*h**5\/5 + 71*h**4\/4 + 65*h**3\/3 - 868. What is the third derivative of c(g) wrt g?\nAnswer: 96*g + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -24050, -97134, -218934, -389444, -608658, -876570, -1193174?\n\"Answer: j**3 - 24364*j**2 + j + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 272056536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, l: 2}. Give prob of sequence ltt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23100*c**2 - 4860*c wrt c.\nAnswer: 46200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 194 - -122?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 - 2*t**2 - 4*t + 13. Let m(o) = -47*o - 750. Let x be m(-16). Calculate n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2004.96 * 1.\nAnswer: 2004.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 438\/(-22) + 14\/(-154). Let y(h) = -32*h - 15. What is the tens digit of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/11, -0.5, -5, -5054, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 2, y: 13, f: 1, h: 1}. What is prob of sequence yhy?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -142*x - 6667. What is v(-47)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 596670603.\nAnswer: 3, 198890201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + (33 - (-27 + 30)) + -75?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + y + 12 = 5*q, 0 = -2*q - 2*y + 6. Suppose 2 = -0*b + q*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 11*l**2 - 1520*l - 7632. Let m be b(-5). Solve -m*t + 233*t + 20 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -136\/3*k - 16 + 30*k**3 - 14\/3*k**5 - 32\/3*k**4 + 140\/3*k**2 = 0 for k.\nAnswer: -3, -2, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 56, 117, 178, 239?\n\"Answer: 61*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -108*y - 188*y - 4736 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111010001111 + 11010010110001?\nAnswer: 100001101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 4. Suppose -5*d - 8 = -t + 2, -2*t - u*d - 6 = 0. Let k(z) = z**2 + 1. Let j(x) = 3*x**2 + x + 4. Let b(c) = j(c) - 4*k(c). Calculate b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5*(-34)\/(-34) - 366\/(-40) and (2\/(-2))\/(24\/242).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i + 11 + 31. Suppose -41 = 2*x - 6*x - 5*h, 4*x = -3*h + 31. What are the prime factors of x\/i - (-288)\/28?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 3*v - 8. Suppose 0 = -v*h - 0 + 5. What is the units digit of (3 - 5)*-1 + h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) 2346 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b + 5*b - b. Let p(f) = -f**2 + 9*f - 4. Let d be p(8). Let k(w) = 2 - d*w**2 - 2. Calculate z(k(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6201 and 52507.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85005 divided by -5.\nAnswer: -17001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4993 + 5031. What is the remainder when s is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -2*x - 5. Let n(d) = -7*d - 14. Calculate 5*n(y) - 14*r(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 2*p + 16 - 4*p + 0*p. Let k be r(8). Solve k*v = -3*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 0*s + 37 = 3*h, -3*s + 23 = 2*h. What is the third derivative of -21*z**2 + 10*z - 10*z + 14*z**h + 29*z**2 wrt z?\nAnswer: 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18550507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2598?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 143.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -17, 2.5, 1\/4, 4, 0 in decreasing order.\nAnswer: 4, 2.5, 1\/4, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hyo when three letters picked without replacement from oyhyhhc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 785682\/277 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -48 (b) 1\/5 (c) 1\/11 (d) 31 (e) 1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3462428 and 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-32 + 128 + 292)*(3*t**4 + 3*t**4 - 5*t**4).\nAnswer: 388*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 687 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, -20.81, 1.01?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -48*p + 12942 + 35058. Is 100 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -4*b + 6. Let l be -6*(-3)\/6*-3. Let r be x(l). Let s = -29 + r. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:41 PM and 7:08 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4000 greater than 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 484763738.\nAnswer: 2, 17, 14257757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 + 5*h**2 - 3*h + 9. Let w = 2230 + -2225. What is a(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a**2 + 7*a - 3. Let c be j(6). Suppose y = -3*q + 2*q + 11, -c*q + 32 = 4*y. Let x = 15 - q. Solve 0 + 6 = x*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1377 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -951.99994848 + 952. What is z rounded to six dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/6 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of y**6\/40 + 3*y**5\/40 - 3*y**4\/16 + 4*y. Determine n, given that k(n) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + -30 + 5 - -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from 897112.\nAnswer: 897112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7699661 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 111 - -11030?\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/(c\/(c\/(c*c\/(c\/(c*c*(c**0*c)\/c)))))))**(4\/23)\/((((c\/((((c\/(c*c**(-2\/17))*c)\/c)\/c)\/c))\/c)\/c)\/c**17) assuming c is positive.\nAnswer: c**(6506\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 + 19ba05?\nAnswer: 19ba0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be 64\/(-12)*66\/4. What are the prime factors of (-1 - y) + (-4)\/1?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 387*l**3 - 3*l - 3*l**2 + 13*l - l**2 - 391*l**3 + 7*l. Let a(v) = -v**3 - v**2 + 4*v. What is 26*a(w) - 6*t(w)?\nAnswer: -2*w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -2240063 divided by 2?\nAnswer: -2240063\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 61535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1029 = -12*k + 2373. Solve -14*z - k + 42 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 + -3. Let n be ((-3200)\/125)\/((-1)\/(-5)). Let l = 132 + n. Sort p, l, -1 in increasing order.\nAnswer: p, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 + 8*r**2 + 2*r - 8. Let g be d(-7). Calculate the greatest common divisor of g and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**2\/13 + 14*y\/13.\nAnswer: 2*y*(y + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -48.98 - -49.38. Let j = 5 - 9. Sort -5\/2, d, j.\nAnswer: j, -5\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -6123, -11782, -17437, -23088, -28735, -34378?\n\"Answer: 2*k**2 - 5665*k - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 42967*l**3 + 19358*l + 6.\nAnswer: 257802*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 7*q + 1. Let d = 3 - -1. List the prime factors of n(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-11 + 16)\/((-1)\/(-7)). Let a(v) = 10*v**2 - 23*v + 93. Let q be a(6). What is the greatest common divisor of q and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 2 = 2*n - 8, 0 = w + 4. Suppose -c - 4*c - n*d - 10 = 0, -c + 10 = 5*d. Sort -2, -3, c.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -7*s**2 - 69*s + 3. Let v be q(-10). Let g(o) = o**2 + 7*o - 2. What is g(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3\/50 of a minute?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59328 is divided by 214.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 357017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -45.0017 take away -3918.67932?\nAnswer: 3873.67762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -51098*2.5\nAnswer: -127745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {p: 1, f: 4, o: 6, k: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r - 9. Let k(t) = -266 + 542 - 275. Let g(f) = -2*k(f) - w(f). Calculate g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t + 7 = -7*t - 29 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -554, -1126, -1724, -2348, -2998, -3674, -4376?\n\"Answer: -13*d**2 - 533*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 549*s**4 + s**4 - 30 + 128 + 871 + 123*s**4 wrt s?\nAnswer: 2692*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r**3 + 0*r**3 + 3*r**3)*(2*r - 2*r + r**2) - 2*r**5 - r**5 + 5*r**5 + 3*r**2 + 52647*r**3 + 169*r**5 - 52647*r**3.\nAnswer: 173*r**5 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 767589105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 154834524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(7\/21*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the second derivative of -2459*p**6\/30 + 2140*p**3\/3 - 777*p. Find the second derivative of o(c) wrt c.\nAnswer: -29508*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 7.2218 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 - 5*m + 4. Let l be f(-5). Suppose -d - 5*o + 52 = 0, -d + 52 = l*o - 2*o. Suppose d - 13 = j. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2189 - 5369. Is 2\/7 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the first derivative of 11*r**3\/3 - 31*r**2 + 12*r + 54. Let v(w) be the first derivative of z(w). What is the derivative of v(f) wrt f?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h*h*h*(h**(2\/49)*h)\/h)\/h*h*h*h*h\/h**8*(h*h**(-13\/2))\/(((((h*h*h*h**(-24)*h*h*h)\/h*h)\/h)\/h)\/h))**(-16) assuming h is positive.\nAnswer: h**(-11400\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 53467080 to the power of 1\/2, to the nearest integer?\nAnswer: 7312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 AM and 4:32 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 30165183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ctt when three letters picked without replacement from {t: 6, f: 1, c: 1, h: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10.3 - -10.1. Which is bigger: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*p, 549*r - 5*p = 553*r - 11780. Is r bigger than 2941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*x - 14*x + 4000. Suppose 5*c + 5*u - 1255 = 0, 3*u = -3*c - c + x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*m - 2*b - 56, -4*m - 425 = 2*b - 369 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**2\/4 - 183*v\/2 - 9690.\nAnswer: 3*(v - 190)*(v + 68)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 0 - -3 - -29 - (1907 + -1921)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-1*(sqrt(2448)*-1 + -3) + -1 + -5)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -26*z + 1337. Let h be t(51). Solve h*y = 103 - 26 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.92 - -2.92. Let b = l - -0.16. Let q = b + -7.00000024. What is q rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1396\/4597 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 10:06 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + (-7 - (-3 - (13 + -1))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**3 - 7*i**2 - i + 9. Let b be x(7). Suppose -753 = -b*c - c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2349000725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 - 2364366?\nAnswer: -2364365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -163*w - 2*w + 330 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t - 4. Let c be g(7). Let o(u) = -2*u + u + c*u. Let a(w) = 2*w. Calculate a(o(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 245, 249, 259, 275, 297?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66*p**2 - 4 + 4 - 64*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 25 = 5*l, 0*l = -2*u - 5*l + 10. Suppose -5*o = g + g - 1255, 0 = -3*o - u*g + 734. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25942093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 1077*g**2 + g - 412*g**2 + 1645*g**2 + 760*g**2 in the form p*g**2 + q*g + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*r - 8, 13*r + 2002 - 2066 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that -63\/2*u**5 - 69\/2*u**2 - 2 + 61\/4*u**3 + 141\/4*u**4 + 15*u = 0.\nAnswer: -1, 2\/7, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 167.4 + -161.4. Let h = -9 + 5. Is s < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 79*k**2 - 129 - 159 + 159 to s*k + m + h*k**2 and give h.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -854, -1717, -3060, -4877, -7162, -9909, -13112?\nAnswer: -16765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, b: 2, m: 1, q: 2, o: 1}. Give prob of sequence bgb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes before 5:53 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 3*y**2 - y**2 - 3*y**2 + (-2*y - y + 4*y)*(-y - 2*y + 2*y) + 17*y**2 + y**2 - 11*y**2 - 2*y as i + x*y**2 + f*y and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 90857551?\nAnswer: 29, 3133019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/10 (b) -13 (c) -9\/4 (d) -5 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3817*m + 120 = -3813*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:22 PM and 3:47 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/7, 224, 1\/2.\nAnswer: -3\/7, 1\/2, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the third derivative of o**3\/6 + o**2 - 12*o. Let h(g) = -2*g - 8. Calculate -8*f(s) - h(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -9500159.4 rounded to the nearest 1000?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*l**6 - 8*l**5 - 2*l**4 - 6*l**2 - 2*l - 444?\nAnswer: 1080*l**3 - 480*l**2 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3*-1 + -2 + 8. Suppose 0 = 7*r - s*r - 24. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/40 - -1*119\/(-148)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(78) + 1*sqrt(78)*-5 + sqrt(78) + sqrt(78)*3*-2 + sqrt(78) + sqrt(78))\/(-5*(sqrt(6) - (sqrt(600) + 1*sqrt(600)) - (sqrt(30)*1)\/sqrt(5))).\nAnswer: -7*sqrt(13)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 111961, 223788, 335615, 447442?\n\"Answer: 111827*t + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 33327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.2+-992\nAnswer: -992.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 + 7*b**2 - 7*b + 2. Let a be (-162)\/(-9)*2\/(-4). Suppose 5*o = 2*o - 3. Let s be a*(o + (-4)\/(-12)). Determine m(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from popspoesppooaeps. What is prob of picking 1 p, 1 e, and 1 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(5*((2*sqrt(405) - sqrt(405)) + 0 - sqrt(405))**2 + (1 + (sqrt(405) + 0 + 3 - sqrt(405)))**2)*-3.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.2 (b) 3 (c) -205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - 36*s**2 + 3*s + 109. Give r(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from mmmmmymmymmmmy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -22*v - 6. Let d be h(6). Let k = -61 - d. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -160 + 206. Suppose -3*b + 40 = -5. Suppose 4*l - b = p - k, -4*l = 4*p - 44. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fsefsfeefsffesf. Give prob of picking 3 s.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = 4858 + 142. Let k = 2505 - a. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 382207 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 44131.847 to the nearest 10.\nAnswer: 44130","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let b be 0 - (2 - 5 - 2). Suppose -b*r = -309 - 436. What are the prime factors of r?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 3*q - 10*q. Sort -3, q, 0.069 in decreasing order.\nAnswer: q, 0.069, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*q = 1620 - 1614 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -202, -201, -200, -199, -198, -197?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(612) - (sqrt(612) + (5 + -1 + sqrt(612) + sqrt(612))**2)) + (5*(sqrt(612) - (0 + sqrt(612))))**2 + 1.\nAnswer: -2468 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the second derivative of t**4\/12 - t**3\/6 - 9*t**2\/2 - t. List the prime factors of l(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 - 12. Let c(o) = -19*o. Give c(g(u)).\nAnswer: -19*u**2 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -31 - (9 + 0 + (21 - -13) + -34)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 29*j**2 - 10*j - 7. Let z(v) = -58*v**2 + 21*v + 14. Let m(h) = 13*w(h) + 6*z(h). Let i be m(-6). Let q = -330 + i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 + 7. Suppose 26 = 5*c - f*v, 5*v - 2 = -4*c + c. Suppose q = c*q - 6. Solve 10 = -q*k - 0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 248 and 622604.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 377328, 377293, 377236, 377157?\n\"Answer: -11*i**2 - 2*i + 377341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 168672849?\nAnswer: 3, 83, 131, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 15*z + 9. Let c be s(8). Let y be (-12)\/(-18)*c\/2. Let w(r) = r**2 - 26*r - 22*r - 8 + y*r. Give w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-5 + 7 - -4) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3030271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 4\/3 (c) 0 (d) -17 (e) -7\/57 (f) -3 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*v**2 + 2*v**3 + 3*v**3 - 2*v**3 to z*v**3 + u + q*v**2 + r*v and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 60918742*k**3*x**3 - k**3*x - 4*k*x**3 - 476982*k*x - 9*x wrt x.\nAnswer: 365512452*k**3*x - 24*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -302 + 301.64. Let m = l - -0.06. Let r be 2 - 1 - (-1 + -2). Which is the closest to m? (a) 1 (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -z**3 + 4481172*z**2 + 2850478 wrt z.\nAnswer: -3*z**2 + 8962344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 10 + (-81 - (-14 - -16) - -14).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 - ((2 - 15) + (5 - -3)) - 30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 102130060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 775716?\nAnswer: 2, 3, 127, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i**0\/i))**3)**33\/((((i**(-2)*i)\/i)\/(i*i**(1\/7)))\/(i**6\/(i\/(i*i\/i**(-4))))) assuming i is positive.\nAnswer: i**(792\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*u - 12*u = -133812. List the prime factors of u.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert c0 (base 15) to base 2.\nAnswer: 10110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = 2*r - 5*s - 2, -3*r + 14 = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 843 divided by -132822.\nAnswer: -281\/44274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 96.80023 millilitres to litres.\nAnswer: 0.09680023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 1\/5*j**2 + 0 - 7\/5*j = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -6*b - 2. Let h be z(-2). Let x(r) = r**2 - 8*r - 12. Does 4 divide x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -120 (base 3) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -56, -20, 4\/411, 2\/15?\nAnswer: 4\/411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7759.57 - -7759.17. Suppose -2*u + 3 = 4*m - 9, -15 = -3*m - 3*u. Let p = m + -2. Which is the closest to -1\/9? (a) p (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -153 + 274. Let y = 91 + -76. Suppose 7*p = y*p - 88. What is the highest common divisor of p and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42 - -19. Suppose r*g + 28 = 59*g. Let t = 29 + g. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1)\/w*w**(-2)*(w\/(w*w**(-2\/7)\/w))**(-20) assuming w is positive.\nAnswer: w**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 34\/387, 8, 2\/129, 1 in descending order.\nAnswer: 8, 1, 34\/387, 2\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -2*s**3 + 20*s**2 - 29*s. What is i(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20896 - 20895. Which is the nearest to u? (a) -277 (b) -17 (c) -2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.13 and -993.\nAnswer: -992.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 - 2*r + 7)*(-43 + 26 + 5*r + 22) in the form h + k*r + x*r**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 93745, 187483, 281221, 374959?\nAnswer: 468697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-16)\/((-6)\/3))\/2. Let g be r + -3 + (-6)\/7. What is the third biggest value in -0.5, 2\/5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4254?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30005.0065 + -30013. Round j to two decimal places.\nAnswer: -7.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78112 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - 0 - (-12 - 4). Calculate the highest common divisor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the first derivative of o**6\/360 - 203*o**3\/3 - 109. Let k(u) be the third derivative of n(u). Let c(f) = 3*f + 35. Determine c(k(x)).\nAnswer: 3*x**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.8202 - -132.\nAnswer: 135.8202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -231456632*p**6 + 31*p**2 - 36*p - 7802 wrt p?\nAnswer: -27774795840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (((-3)\/1)\/(2*7\/(-4)))\/(868224\/159936)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sos when three letters picked without replacement from sosssssssssosssss?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -5\/4, 97\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -1474.99 less than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - t - 1)*(-7*t + 35*t + 3*t).\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-3)\/(-6))\/((-5)\/4). Let t = -775 - -769. What is the nearest to -2\/3 in t, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -375 + 1023*f - 23 - 215 - 335 wrt f?\nAnswer: 1023","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - s = -66, 3*s + 62 = b + 4. Is b\/1 - 0 - (-39)\/13 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 22162, 2992, -2 in descending order.\nAnswer: 22162, 2992, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -298 - 66 = -26*o. Calculate the highest common divisor of 294 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-56)\/(-10) - (-3)\/(-5). Suppose -d*b + 16 = -b. Solve 0 = -m - 1 + b, 13 = -5*p + m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -45\/113 - -21\/904. Let u = 2.97 + -3.1. Let b = 0.07 - u. What is the fourth biggest value in b, v, 1\/8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2632 + -2630. Solve -3*g = n - 6, 3*n + 2 = -b*g - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 + 535*d**2 + 366*d - 480598. What is f(534)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 30250879 times 0.22?\nAnswer: 6655193.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 + 2)*(4*g - g - g + (-2 - 3 + 3)*(-4*g - 2*g + 4*g) - 33933*g + 16970*g + 16967*g + 51) in the form h*g + i and give i.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 0*j = -3*j + 183, -2*c + 140 = -4*j. Suppose c*f - 61*f = 234. Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -4*f**2. Let m(i) be the first derivative of -21*i**2\/2 - 53. Determine m(r(j)).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -665435 or -665517?\nAnswer: -665435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.522, 2\/3, -1\/13, 2\/9?\nAnswer: 0.522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 16 * -59554.\nAnswer: -952864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 4011 (base 7) to base 2\nAnswer: 10101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**2 + 11*f - 10. Is 5 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, v: 2, a: 8, b: 5}. What is prob of picking 2 a and 1 p?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the third derivative of -v**8\/504 + 2*v**7\/315 - v**5\/45 + v**4\/36 + 9*v**2. Factor n(w).\nAnswer: -2*w*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 170 - -60. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1382 plus -3?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 x when four letters picked without replacement from xbbxbbbbbbbbbxbbbx.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1.8 times 0.85?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-10))\/(348\/(-116))*-4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 p when three letters picked without replacement from {n: 1, p: 2, v: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -7*t. Let p(w) = 31*w + 258. Determine a(p(y)).\nAnswer: -217*y - 1806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 + 5*s - 1. Let u(w) = 3*w**2. Let v be u(0). Let p(d) = d - 2. Let l be p(5). Let m = v + l. Determine r(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, h: 7}. What is prob of sequence fh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -11*h**2 - 26*h + 109. Give d(6).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001162 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124150 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 4) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39014?\nAnswer: 2, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -7*l. Let r(x) = 26023956*x**2. Calculate a(r(s)).\nAnswer: -182167692*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -176.9 + 189. Let m = p + -12. Suppose -4*g - n - 16 = 4*n, 20 = 5*n. Is g greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 39977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 22*l**3 + 12*l + 5. Let y(c) = -42*c**3 - c**2 - 25*c - 11. Let o(p) = -5*x(p) - 3*y(p). Let j be o(-6). Round j to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -d - 3*u - 6, 22 = d - 4*u + 14 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 763510968 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -4. Suppose 0 = s*i + 3*i - 20. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -24, -19, -12, -3, 8, 21, 36?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*r**4 - 2772*r**3 - 640332*r**2 - 49305564*r.\nAnswer: -4*r*(r + 231)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2616*n - 19 - 16 - 13 + 43.\nAnswer: 2616*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 122.2 + -122. Let g = -0.2 + 0.4. Which is the closest to x? (a) 2 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o - 11. Let h(p) = 2*p + 34. Let j(k) = -3*b(k) - h(k). Let f(m) = m - 1. Let a(c) = 7*c + 1. Let v(i) = a(i) - 4*f(i). Calculate -2*j(x) + v(x).\nAnswer: x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -22, -1, -37\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 624*g**3 + 286*g**3 + 2 - 3 + 4*g.\nAnswer: 910*g**3 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(144))\/(-1*sqrt(968))*-5.\nAnswer: -75*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 y when three letters picked without replacement from {r: 1, f: 5, y: 1, p: 1, m: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -38030 or -38032?\nAnswer: -38032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1558.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o\/(o*o\/o**(-1\/4))))**(10\/11)*o**4\/o*o\/(o**(-4)*o))**(-48) assuming o is positive.\nAnswer: o**(-4776\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 232814 < 4656281\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 23390 divided by -5?\nAnswer: -4678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 - -1. Let b = 10 + s. What is the nearest to -1 in b, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5550131 - 5?\nAnswer: -5550136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-144)\/(-126) - ((-295)\/140 - -2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -202*z - 246. Determine n(-2).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 312 and 754534.\nAnswer: 117707304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 1 = 1. Suppose h = -6*m + 3*m + 9. Find the first derivative of -3 - a**3 + 16*a**3 - 4*a**m + 9 wrt a.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19639951, -39279906, -58919861, -78559816, -98199771?\nAnswer: -117839726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1080*i + 224 = -1064*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be -7 + -2 - -11 - -15. Suppose 5*p - 4*p - b = -q, q = p - 15. Calculate the highest common divisor of 72 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.3 + 0.29986. What is c rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2002501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 115\/(-23)*143\/(-65)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2564, -2568, -2574, -2582?\nAnswer: -2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19, 22, 11, -20, -77, -166, -293, -464?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((sqrt(28) + -4*sqrt(112) + sqrt(28) - sqrt(28))\/(sqrt(196) + -4*sqrt(196)) + -4)*-6)**2.\nAnswer: -3456*sqrt(7) + 21744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 20*b + 9*b - 1 + 5*b.\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 336547506*-0.04.\nAnswer: -13461900.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-c - 2*c**2 + c)*(-2064*c**2 - 387*c**2 - 1143*c**2)*(4 + 1 - 2) in the form a*c**4 + l*c**2 + h*c + m + t*c**3 and give a.\nAnswer: 21564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01642418818 rounded to 5 dps?\nAnswer: 0.01642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 + 7*a - 2. Let l be f(-7). Let j = 0 - l. Calculate the greatest common factor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 10) + -5 + 2 + 10 + -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 23079871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 - 8. Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18352353 is divided by 389.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of v**4 + 40*v**3\/3 - 50*v**2 - 1000*v - 2609. What is u in y(u) = 0?\nAnswer: -10, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 2 - 4 = 2*m, 4 = 2*o. Which is the second biggest value? (a) 72 (b) 5 (c) m (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12423 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -36 + 11 - -29 - 46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/10 - 26\/(-10). Let y = 712 + 578. Suppose -y = -t*d + 1377. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/10*(14559\/(-422) - 222\/24)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9599 + -3862. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 + -3.3. Let n = 3.7 - v. Let i = -5 + 7. Which is the closest to 0? (a) i (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*u**5 - 5*u**5 + 9*u**5)*(-4 + 3 + 2)*(3 + 6 + 9).\nAnswer: 270*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 84635 divided by -1225\nAnswer: -16927\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 87069503 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 794 + -1482. Let s = k + 2202. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*v + 5*v. Suppose -32 + v = 4*p - j, -p - j - 13 = 0. Let y = p + 4. Which is the closest to -1? (a) 4 (b) 2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -192, -408, -626, -846, -1068?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of 5\/12*r**4 + 2*r + 0 + 1\/20*r**5 + 0*r**2 + 0*r**3. Find the third derivative of u(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**2)**(2\/15)*(a*(a*a*a\/((a\/a**5)\/a)*a)\/a*a)**(-12\/11) assuming a is positive.\nAnswer: a**(-1756\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 5*k - 3*n + 4*n, 2*k + 5*n = -11. Let c = 7 - 3. Suppose 28 = k*j - 0*j + 5*h, -c*j = -4*h - 84. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.7339 rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -4 (b) 2 (c) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 238*o**2 - 176*o**2 - 113*o**2.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 27\/164, 5\/2, -12.01, 1\/10 in ascending order.\nAnswer: -12.01, 1\/10, 27\/164, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 30 = 3*c, -6*c + 5*d + 13 = -2*c. Suppose 3 = -v + c. Suppose -v*r + 4 = -4. Solve -r*f - 3*f = 5*j, -f = -j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 37, 61, 101, 157, 229, 317, 421?\n\"Answer: 8*t**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 + -15. List the prime factors of 110\/4 + 3\/a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3 - -7) + (-5 - -4 - -2). Which is the second smallest value? (a) -4 (b) r (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (71\/(-852))\/((119\/(-1036))\/(-17)).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -203 - 150. Let u = 355 + l. Which is smaller: u or -25.5?\nAnswer: -25.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2 and -526887.\nAnswer: -1053774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 40, 22, -8, -50, -104, -170, -248?\n\"Answer: -6*u**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.3 - -6.2. Let x = n - 3. Is x at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand n + 4*n - 4*n + n + 5*n - 7*n + 0 - n + 0 + (-3 - 2*n + 3)*(-5 + 2 - 18) - 2*n - 2 + 2 + 1.\nAnswer: 39*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - 10. Let c be 0 + 1 - (-4)\/(-1). Let a = -94 + 379\/4. What is the smallest value in c, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 AM and 3:54 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 - 24*n**2 - 24*n + 5. Let d be j(-23). Suppose d - 108 = -4*a. Let t = a - -144. Calculate the remainder when t is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*m - 1667*m = 363*m - 231*m + 1806 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-3\/11)*v**(-3\/5))**(-36)*(v**(-2\/7)*v)**(-38)\/(((v\/(v\/v**(-2)))\/v)\/v**(-8)) assuming v is positive.\nAnswer: v**(-279\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 125, 251, 375, 497, 617?\n\"Answer: -x**2 + 129*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -29 + 4*k**2 - 2*k - 34 - 6*k**2 - k**3 + 56 - 2*k**4 as f*k**2 + g*k**4 + j*k**3 + x + i*k and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 25*h**3 + 7*h - 7. Let l(a) = 13*a**3 + a**2 + 3*a - 3. What is -7*l(c) + 3*v(c)?\nAnswer: -16*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.6 - 2.4. Which is the third biggest value? (a) -2 (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 749, 5936, 19985, 47324, 92381?\nAnswer: 159584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(3\/5))\/u**11*(u**4)**(1\/5) assuming u is positive.\nAnswer: u**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 70\/2 - (-5 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -10*z**2 - 392*z + 3118. Determine k(-46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 187974937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (66*4)\/4*(-693)\/(-1386)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gggbgbg. Give prob of picking 2 g and 1 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-11)\/4 - 5\/20. Put g, 3, -1 in decreasing order.\nAnswer: 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**2 + 6*j - 8. Let o be m(-10). Let z = -86 - o. Let t = 136 - z. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 179099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 4*c**3 + 64144*c**2 + 640944*c - 1538496 = 0.\nAnswer: -16026, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 437, -15, 0, 223 in descending order.\nAnswer: 437, 223, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -71185*g**4 - 7*g**3 + 142193*g**4 + g**2 + 2*g + 1 - 71132*g**4 in the form h*g**4 + k + d*g**2 + m*g + f*g**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 346, 348, 350?\n\"Answer: 2*i + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1437629 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (103516\/10)\/(116\/(-40) - -3). Is -4*(n\/16)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u = -9*u. Let h = 0 + 0.2. Which is the closest to -1\/2? (a) u (b) h (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 80, 115, 146, 173, 196?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6528 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 120313 + 10313210332?\nAnswer: 10313331311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, q: 3, m: 1}. What is prob of sequence qq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - -23641?\nAnswer: 23644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 - -4026.793?\nAnswer: 4026.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 29630501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 864 = 20*s - 16439 - 18757. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10*(-1 + 6\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, 3, 4, -2, -45 in descending order.\nAnswer: 4, 3, -2, -3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2966372 minutes in nanoseconds?\nAnswer: 17798232000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22 - 10100?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 23340773 and 21.8984?\nAnswer: 23340751.1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1 + 1 + 2 + (6 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -12\/11 and 2\/(-6)*(-1131)\/(-325)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in t**2 + 27884*t**3 - t**2 - 27879*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 3069200 to the nearest 10000.\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 389 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -21 - -35 - 8 - (0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 20349.4545ns in days?\nAnswer: 0.00000000023552609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 4, 8, 3 in increasing order.\nAnswer: 1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-28)\/8*(-4)\/7. Suppose 2*l - 80 = -c*l - 2*a, 8 = 2*a. Calculate the remainder when 34 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14975 - 389297\/26. Find the common denominator of -13\/4 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > -4\/3012195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1270 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -50, -5, 4.\nAnswer: -50, -8, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -43689.508 rounded to the nearest one hundred?\nAnswer: -43700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 9, m: 1, b: 5, p: 3}. Give prob of sequence ppff.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 640 a factor of 94167680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 10 = 3*v - 5*v, 0 = -3*v - 2*a - 23. Let x = -6 - v. Suppose 0 = x*c + 6 - 36. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*p = -3*x + 98, 2402*x = 2404*x for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -94*d**3*x**2 - 4*d**2*x - d - x**2 wrt d.\nAnswer: -564*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Do 196249 and 4317447\/22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 112 and 28938.\nAnswer: 231504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*s - 3*s + 0*s - 2 = -2*p, 3*p + 11*s = -22 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 2, q: 15, k: 3}. Give prob of picking 1 q, 2 t, and 1 k.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((sqrt(475) - (2*sqrt(475) + -5)) + (-1*sqrt(475) - sqrt(475)) + -1 + -1)*5 + 5)**2.\nAnswer: -2400*sqrt(19) + 107131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26613.\nAnswer: 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2398549?\nAnswer: 2398549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of l**6\/54 + 7*l**5\/45 + l**4\/18 - 64*l**3\/27 - 16*l**2\/3 - 1791. Factor i(p).\nAnswer: p*(p - 3)*(p + 2)*(p + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, m: 7, h: 2, a: 3, q: 4}. Give prob of picking 1 h and 2 a.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 255459 is divided by 288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = 4, 14*t = 12141*y - 12138*y + 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -5*h - 2*i + 25, -h + 5*i + 11 = 0. Let o = 9 - h. Let m(j) = 3*j - 1. Let t be m(o). Solve 0 + t = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of -n**5\/60 - 7*n**4\/24 + n**3\/2 - 2*n**2. Let d(j) = -2*j + 4. Let k be d(5). What are the prime factors of w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1023211 - -324?\nAnswer: 1024040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of -u**5\/60 - 11*u**4\/24 + 11*u**3\/6 - 3*u**2. Calculate the remainder when c(-10) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18.1299 - 1651455.\nAnswer: -1651436.8701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be (7920\/(-77))\/6 + 17. Let i(n) = -n**3 + n + 7. Let p be i(0). Which is the nearest to p? (a) -1\/3 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 - -8.05. Let m = i + -2.256. What is m rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand h**5 + 0*h + 0*h + (-1 - 2*h + 1)*(4*h**4 + 2*h**4 - 5*h**4).\nAnswer: -h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2199 and 0.3?\nAnswer: -659.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 3*u**3 + 15*u + 141*u**2 - 136*u**2 - 47*u**4 + 1 - 10*u + 45*u**4 as z*u**3 + r*u**2 + f*u + w + x*u**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 24072*a**6 + 325*a**4 + 130*a**2 + 116*a - 2.\nAnswer: 2888640*a**3 + 7800*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x - 6. Suppose -2*m - 2*j + 11 + 3 = 0, 3*j = 6. Let v be h(m). Calculate the common denominator of v\/2*(-425)\/(-20) and -37\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f + 12 + 28 = 0. Factor 2\/3*h**4 + 0*h - 2\/3*h**3 - 2\/3*h**2 + 2\/3*h**f + 0.\nAnswer: 2*h**2*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**3\/3 - 4192*j**2\/3 + 1077044*j\/3 + 11193640\/3.\nAnswer: 4*(j - 529)**2*(j + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o*o\/(o**(-2)*o)*o)**(-36)\/(o\/o**(2\/5)*o**(-3\/5)) assuming o is positive.\nAnswer: o**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*t + 31 = -v - 1, -4*t + v = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the first derivative of i**2 - 6*i + 3. What is the units digit of x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 8*h**2. Let b(l) be the third derivative of 0*l**4 + 0*l**3 + 8*l**2 - 1\/60*l**5 + 0 + 0*l. Determine b(x(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(0 + ((sqrt(17) - (sqrt(17) + 2))*1)**2 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1456\/9 + -16025\/99. Sort 0.07, l, -0.2, -2, -0.1 in decreasing order.\nAnswer: 0.07, l, -0.1, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5034?\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of 7\/6*w**3 - 1\/4*w**2 + 0*w + 9\/10*w**5 - 1 - 15\/8*w**4. Find y, given that d(y) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-8)\/4)\/(-2 + 6)*-3860.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - a = -2, 0 = 2*j - 3*j + a - 2. Suppose 1 = -3*q - 2, j = -2*o + 3*q - 11. Let f(m) = -m**3 - 7*m**2 + 2*m + 7. What is f(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 38*m. Let x(v) = -5*v**2. Give t(x(q)).\nAnswer: -190*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 15841 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 681656641*x - 385719945?\nAnswer: 681656641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -52 - -54. What is the third smallest value in 0.4, 4, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(243) + 1*sqrt(243) + 5 - sqrt(243))**2 + sqrt(243) - (1 + sqrt(243))*-6).\nAnswer: 153*sqrt(3) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7564 and 4148?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f - 87. Let y(u) = -14*u - 4. Let a(m) = -15*m - 3. Let q(v) = -4*a(v) + 3*y(v). Give d(q(i)).\nAnswer: 18*i - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3985 is divided by 495?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**2 - 6*o + 1. Let t = 7 - 12. Let v be y(t). What is the greatest common divisor of v and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -550334 + 801663. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 762597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3034445998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24\/307 + -30163\/4912. What is the common denominator of 47\/4 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-36)\/5 + (-25 - -32) - 54\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1702*0.15\nAnswer: 255.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (7\/4)\/(16961\/19384). Factor 2\/3*k**i + 0 + 28\/3*k.\nAnswer: 2*k*(k + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-59 - -3 - -65) + 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.9 - 2.1. Let v = 4 + o. Let f be (-23)\/7 - (-4)\/14. Which is the smallest value? (a) v (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v + v - 16. Solve 2*q + 3*j - 2 = 0, -6*j = v*q - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*d + 53878 = 53793. What is c in -30*c**3 - 98\/3*c**2 - 8\/3 - 38\/3*c**4 - 16*c - 2*c**d = 0?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 227589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 4:07 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes before 3:59 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + 2*x + 3*x)*(-8 + 162*x**2 - 313*x**2 + 198*x**2).\nAnswer: 141*x**3 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2109337 rounded to the nearest 1000?\nAnswer: -2109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17286190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-117)\/(-3186))\/(-13)*(-10)\/5)\/(9\/(-54)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 0*f**3 + 2*f**3 - 80*f - 4*f**3 + 2 + 99*f - 55*f in the form d*f + w*f**2 + t + c*f**3 and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 153 and 187?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 7 = q. Factor 3*v**2 + 3*v + 16*v**q + 3*v - 5*v + v**3 - 24*v**4 + 3*v**2.\nAnswer: v*(v - 1)**2*(4*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 476216 and 5309512?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*d + 6 = -252*d + 120*d - 10*z, 2*z + 6 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -63 - -66. Calculate the greatest common divisor of v and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:49 AM and 12:26 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -326*j + 6263 + 6093 = -4270 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -3431158 divided by -32\nAnswer: 1715579\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zxr when three letters picked without replacement from {x: 1, m: 2, z: 2, b: 4, r: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 13*s**5 + 10*s**5 - s**4 + 2*s**4 + (-4*s**2 - 3*s**2 + 6*s**2)*(-2*s**3 - s**3 + s**3).\nAnswer: 25*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17 + 17. Suppose u = 2*d + 4759 + 19641. What is d rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 792975409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2768 + -2766.8. What is the smallest value in w, 12, -1, 5, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 9318 by 1553.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -511 + 554. Find the second derivative of 41*j - 93*j - 108 - n*j**5 + 50*j wrt j.\nAnswer: -860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 3, x: 2, n: 1, m: 1}. Give prob of picking 1 x, 1 n, and 2 v.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 278 - -5?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -19609*638\nAnswer: -12510542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the third derivative of 40*h**2 + 0 - 27\/8*h**3 + 0*h**4 + 1\/20*h**6 + 9\/40*h**5 + 1\/280*h**7 + 0*h. Factor p(n).\nAnswer: 3*(n - 1)*(n + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 + 20. Let z be (-2 - (-2 - j\/6))*88. Let g = 791 + z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3 + (-28 - -31) + (-3 - 1). Which is the closest to -1? (a) w (b) 0.2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3 - 5*p**2 - 17*p + 21.\nAnswer: (p - 7)*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 2, p: 6}. Give prob of picking 3 p and 1 i.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d - d + 5*d)*(13 + 14 - 8)*(0*d**2 - 6*d**3 + 8*d**3 + 4*d**2).\nAnswer: 76*d**4 + 152*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 + 7. Let o be j(-4). Let d = -39 + o. Let r = d - -66. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**2. Let r(s) = -20*s**2 - 7*s**2 + 1 - s**2 - 4*s**2 + 3*s**2. What is c(r(o))?\nAnswer: 841*o**4 - 58*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_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: List the prime factors of 48669.\nAnswer: 3, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c**2 - 3*c - 3. Let j be (4\/(-3))\/(12\/(-18)). Let o(n) = -n**2 + 2*n + 2. Give j*r(q) + 3*o(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 115 at least as big as 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1765.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eewweeeeeeweeeeeewe. Give prob of picking 2 w and 1 e.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = -2*m - 2, 0*b + 11 = -2*b - 3*m. Suppose -21 = -b*u + 15. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of 13*b**4\/12 + b**2\/2 - b. Let l be a(-1). Let c = -9 + l. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3759, 3761, 3763, 3765, 3767?\nAnswer: 3769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from nmmmnnmmmnnmmmmm.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/3)\/(31\/(-62))*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*b**4 + 448318*b**3 - b - 733294 wrt b?\nAnswer: -12*b**3 + 1344954*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -330 - -117?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.076 and -5?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1847802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6691 + -3977. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z = -t - 46, -16928*z + 16925*z + 7*t = -47 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - -1011010?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 25 + 20. Let r = 32 + q. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 25607 + -25243. Calculate the remainder when g is divided by 71.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 167 - 107. Let d = z - 15. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2107971?\nAnswer: 3, 101, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 334 = -3*p + 1289, 3*p = -3*w + 1221. What is the remainder when w is divided by 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4.274? (a) 2\/15 (b) -3\/8 (c) 19 (d) 3\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8\/(-14) + (-210)\/(-196). What is the nearest to o in 1\/4, 0.05, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = -15*w + 3*w + 225 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 169 and 10.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -35 divided by -3789?\nAnswer: 35\/3789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4*1321\/(-26))\/((-502)\/(-8)). Let q = i + -2\/251. Find the common denominator of q and 5\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (0 - 0) + -1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*w + 137 - 137.\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -24235 times -84\nAnswer: 2035740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mnngnnnnnmmmmqmmnm. Give prob of sequence mq.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -5*w**5 - 825*w**4 + 845*w**3 + 2485*w**2 - 840*w - 1660 = 0.\nAnswer: -166, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**2 - 2*w + 7. Let f be o(-4). Let l = f + 18. Let q(r) = 25*r + 20. Is q(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (3\/(-36))\/((-2)\/(-556)) and 13\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 12 = 4*y - 2*v, 5*y = 3*v - 39. Is 18 a factor of (y\/3 - -3) + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -2*r**3 - 3*r**2 + 5*r - 4. Suppose -2*j + 5 = -5*y - 5, j - 5*y = 15. Let i be k(j). Suppose i + 2244 = 2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 136962213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 105 and 148855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -2043*u + 57224. Determine l(28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*i + 238 = -332 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1860.99994235 + -1861. Round l to 6 decimal places.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32313232 (base 4) in base 7?\nAnswer: 342403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*j + 48 = 208. Let g be (j - -159) + (-2)\/(-2). Calculate the highest common divisor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-8)\/28 - (4 + (-8622)\/42) is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -45 = -2262*o + 2265*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 108*k + 383*k = -188*k + 52962 for k.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 161468 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + 24*g + 8520. Let t = -396 - g. Calculate the greatest common divisor of t and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 235950 and 4576?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 352 and 220.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes after 9:08 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*i**2*y**3 - 156*i*y**2 - 7*y**3 + 23*y**2 wrt i.\nAnswer: -4*i*y**3 - 156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 5:25 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 72611935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -107 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 26387*w - 26363*w = -312 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -7295, -7126, -6959, -6800, -6655?\n\"Answer: -x**3 + 5*x**2 + 161*x - 7460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -304 divided by -21?\nAnswer: 304\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 6*u. Let t(a) = 61*a**2 - a. What is t(d(k))?\nAnswer: 2196*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73461387.\nAnswer: 3, 2447, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(21)\/sqrt(3)*6.\nAnswer: 3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 10111110 (base 2) to base 10\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 171043170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + (-1446)\/(-477))\/(1080\/432).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 28 (b) -0.05 (c) -2 (d) -2\/11 (e) -2.1176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, 2\/33, 3, 647, -1\/12 in increasing order.\nAnswer: -1\/12, 2\/33, 1\/3, 3, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -822712 divided by -205678\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1749, -3497, -5247, -6999?\n\"Answer: -i**2 - 1745*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6319.3119 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yycdi. What is prob of picking 1 c and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (9\/(-15))\/((-64)\/80)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 33, 29, 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of -6*y**2 + 13\/24*y**4 + 0 + 0*y + 1\/30*y**5 - 5\/6*y**3. Is h(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28673 + 28688 = 3*b - y, 27 = -7*b - 8*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 13*i + 37. Determine c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 234 and 72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(80)*2 - sqrt(80) - (sqrt(45)*2)\/sqrt(9)) + (sqrt(385)\/sqrt(11))\/sqrt(7) + 5)**2*1.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 + -0.9. Let i = -0.2 + u. Let y = -32 + 127\/4. Which is the nearest to i? (a) y (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -27*q - 3. Let a be u(-7). Let r = 37720 - 37536. Do r and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7376.8 - 18100.\nAnswer: -10723.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4448100 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**3 - 44*t**2 - 476*t - 784.\nAnswer: -(t + 2)*(t + 14)*(t + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 146522\/3 in 2\/3, -4\/7, -1, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -40*s**2 + 5*s. Let c(u) = -81*u**2 + 9*u. Determine -5*c(m) + 9*i(m).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*l = -2*h - 24*l, 3 = -3*h + h + 5*l for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*q**3 + 9728736*q**2 - 254431238985*q + 16414878150 = 0. What is q?\nAnswer: 2\/31, 52305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.7 + -5.8. Let l = 7 + t. Let f = l - -1.5. What is the closest to f in -5\/4, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -2*r - 3. Let x(o) = -o**3 + 8*o**2 + o + 1. Calculate the remainder when v(-10) is divided by x(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000202376 to 7 decimal places.\nAnswer: 0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 666236 and 7720.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(60)\/((sqrt(24)*-1)\/sqrt(2)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1\/3 (c) -2\/769 (d) 0.426 (e) -70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20 and ((-24)\/14)\/(3\/(-21))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 431184368.\nAnswer: 2, 103, 261641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 1 - 5)*(-1 + 2*p + 1) - p + p + p + (-1 + 1 - 2)*(9 - 9 + p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -62 - -62.01. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.02 + -0.01. Let g = -816 - -814. What is the second smallest value in b, 0.2, 3, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 120 and 237096.\nAnswer: 1185480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (29\/(203\/(-4)))\/(3102\/(-231)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 73, 135, 197, 259, 321?\n\"Answer: 62*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.023652850932 to six dps.\nAnswer: 0.023653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 939116 is divided by 117388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -29553306 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/4)\/((-2)\/24). Let f(q) = -c - q - 4*q**2 + 8*q + 2 + 4. Let d(t) = 5*t**2 - 8*t - 4. Let n = -7 - -2. What is n*d(u) - 6*f(u)?\nAnswer: -u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 101.51 + -103. Let q = 0.11 - a. Let s = 1.6052 - q. Round s to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8, -14, -34, -74, -140?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -3.3 + -8755\nAnswer: -8758.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = q - 675, -1637 = -4*q - 5*z + 1069. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**3 + 8*q**2 - 7*q + 2. Let n be l(7). Suppose 140 = 4*r + 4*p, n*r - 175 = -3*r + 2*p. What is the greatest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -264 divided by -3306.\nAnswer: 44\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*u - 4*b + 20, -8453*u + 8458*u - 25 = -3*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7205?\nAnswer: 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes after 10:57 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 282*h**2 + 271*h**2 + 9*h**4 - 12*h**4 - h**4 - 201*h**3 wrt h?\nAnswer: -96*h - 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 3*n - 14, 2*w - 106 = 7*w + 3*n. Let a = 4 + w. Let i be (16\/a)\/(2\/(-170)). Round i to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-110 + -1)*98\/(-42). Suppose 4*c - 121 = i. Let q be 2\/(-4)*19*-4. What is the greatest common divisor of q and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*j*q**2*y**2 + 1267*j*q**2 - 38*j*y + 2*y**3 wrt y?\nAnswer: 6*j*q**2*y - 38*j + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7372762 take away 102953.58?\nAnswer: -102952.8427238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 14323336403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4725 and 175.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -66 + -664?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**2 + 38*w - 129. Determine c(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70747.\nAnswer: 263, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -1281 bigger than -16658\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3114*o + 9 = -3*t - 3116*o, 14 = t - 5*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - 6 + 2)*(y - y + 2*y)*(-4*y**2 + 2*y**2 + 3*y**2)*(-21 - 1 - 22) in the form r*y + p*y**2 + d + g*y**3 and give g.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5793 is divided by 1927?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8963454?\nAnswer: 2, 3, 17, 87877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are 229\/82508 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2214010212344 + -4?\nAnswer: -2214010212403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -3*k. Let d(n) = n - n - 4*n. Calculate d(l(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -231334*d = -231372*d - 3458 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from kkffffgfdkkffhdf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2 - 1. Let m be 48 + (2 - (z + 2)). Let u be m\/9 + (-4)\/18. Solve 16 = u*r - r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of -39*(-703 - -2) - (-13 + 9 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 15, -5*r - 3*a - 440 = -5*a. Let d = 139 + r. Suppose -2*x - p = -134 + d, 4 = -4*p. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-3150)\/(-12) - -9)\/(3\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 20*v**3 + 5*v**2 + 9. Let f(p) = 39*p**3 + 9*p**2 + 18. Let l(z) = -5*f(z) + 9*t(z). Let w(o) = -8*o**3 - 5. Give -5*l(i) + 9*w(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -920 = -5*x + 10. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 111000012200011 - -102?\nAnswer: 111000012200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*v + 245 = 43 + 120 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*q + 28*q + 42. Let j = 266 + -264. Let r = 8 + -12. Sort r, q, j, 0 in descending order.\nAnswer: j, 0, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -218 + 220. List the prime factors of (1\/(-3))\/(2335\/1170 - o).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3.604 and 1.8.\nAnswer: 6.4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the third derivative of -g**6\/120 + g**5\/5 + 5*g**4\/4 - 29*g**3\/6 - 2*g**2 + 2. What is o(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9.1 + -2.9. Let o = 0.11251 + 11.95349. Let h = o + q. What is h rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**3 + 5*o**2 - 5*o**2)*(-2 - 1 + 0 + 0 + 1 - 2 + (-1 - 1 + 3)*(-3 - 2 + 4)).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -301, -306, -307, -304, -297, -286?\n\"Answer: 2*b**2 - 11*b - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 36*q - 431. What is r(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 5601, 6134, 7581, 10398, 15041?\n\"Answer: 76*v**3 + v**2 - 2*v + 5526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -5*36\/30 - (1 - 7424) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 11*h**2 - 153*h + 133. Let a(n) = -24*n**2 + 307*n - 262. Let p(o) = -3*a(o) - 7*j(o). Factor p(f).\nAnswer: -5*(f - 29)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2 and 25666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccddcddcdd. Give prob of sequence ccdc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u**5\/3 - 340*u**4\/3 + 8630*u**3\/3 - 32300*u**2 + 135375*u = 0.\nAnswer: 0, 15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 2*x - 96, 0 = -3*x + 3*y + 124 - 25. Let l = x + -51. Let k = 58\/15 - 68\/15. Are k and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.03612 + 39678.\nAnswer: 39678.03612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 384061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -13 by -2553.\nAnswer: 13\/2553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 32694257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 66.05675ml to litres.\nAnswer: 0.06605675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/3 (c) 2 (d) -16 (e) 28429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*g = 13*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1693529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8789 - -8934. Calculate the remainder when 431 is divided by q.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.5, -6, 38, -1?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 468 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 82827492 and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-110)\/1925)\/(12 - 20 - 21\/(-5)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the third derivative of -q**4\/3 - 7*q**2. Let t(y) be the second derivative of -2*y**4\/3 - 1361*y. Calculate a(t(m)).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3199214?\nAnswer: 2, 1599607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**4 + 6*o**3 - 13*o**2 + 12*o - 4.\nAnswer: -(o - 2)**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5031530 (base 6) in base 3?\nAnswer: 110001220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 139590, 17, 2 in descending order.\nAnswer: 139590, 17, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 112111130 + -2?\nAnswer: 112111123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 - -d47?\nAnswer: d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 102 + -85. Suppose -k*f = -25*f + 24. Let q be 0 + (-3 + f - 1\/(-4)). What is the second biggest value in -9, q, -0.5, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2308263373 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 3250944667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 102463 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, 1, 2\/21, -1 in decreasing order.\nAnswer: 3\/2, 1, 2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2\/2213 + 39808\/28769. Which is the fourth smallest value? (a) 4 (b) 0.4 (c) m (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**(2\/7))\/(z\/((z*z**(-8))\/z)*z))\/(z**7\/((z*z**(-3\/5))\/z)))**(-1\/64) assuming z is positive.\nAnswer: z**(591\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 416 + -418 + 12 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -76 + 70 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -232 - 9. Let i = -3595 + 3833.91. Let t = z + i. What is t rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -79\/124890 and -13\/74.\nAnswer: 4620930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 224 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 26 - 22. What is the units digit of (213*c\/12)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1*3\/18)\/((-9)\/(-27))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2470506993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84 = -22*g + 260. Suppose 0 = g*u - 2*u - 5508. Is u a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 5, e: 1, x: 1, v: 3, w: 1}. What is prob of sequence xvvw?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 125 a factor of 12500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -29 + 32. Solve 3*m - 4*m - i = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 49.65 - -3.05. Let d = n + -53. Suppose -6*x + 18 = 6. What is the biggest value in d, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 4*m - 3 = 0, 0 = -5*k + 2*m + 366 - 351 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 43 = -1. Calculate the smallest common multiple of q and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 102622 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 374 = -4*c - 61*w, 0*w + 0*w + 21 = 2*c + 2*w + 37 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17\/(765\/(-216))*-6*(-75)\/(-90).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 417 + 102. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 5*i + 45 + 7, 4*j + 3*i = 162. What is the least common multiple of 24 and j?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11*g**3 + 141406*g**2 + 9723306*g wrt g?\nAnswer: -66*g + 282812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2022 + -1?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) be the first derivative of 0*w**2 - 1\/3*w**3 + 0*w + 167. Let q(s) = -3*s**2. Give q(d(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -5d (base 14) in base 16?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = 3*g + 18, -5*u - 3*g - 23 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-36)*(-30)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 - 5*j + 9. Suppose -4*k - 6 = 2*c, 13 = -2*c + 3*k - 0*k. Let p be w(c). Solve p*n - 15 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -509 + -411. Let z = -645 - d. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s + 57 + 63. Calculate the greatest common divisor of 12 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 463.161 months in millennia?\nAnswer: 0.03859675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*k - 5*k - 144. Suppose 5*v - v - k = 0. Suppose 0 = -3*i - i + 72. What is the greatest common factor of v and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 - -27 - (21 + -2) - 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {a: 1, r: 11, z: 6}.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 706020924?\nAnswer: 2, 3, 7, 19, 277, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 33.6 - 38.6. Let j = -0.08 - -3.08. Let g = 95 + -124. Sort j, g, b.\nAnswer: g, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 35671627 and 3884?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 70*g**2 - 12815*g - 1373880. Let a(o) = 11*o**2 - 2136*o - 228980. Let r(w) = 25*a(w) - 4*v(w). Factor r(m).\nAnswer: -5*(m + 214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(300\/(-10) - -5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 3*m**2 - 3*m + 3. Let v be b(2). Let l = v - 7. Suppose 3*c - 6 = -4*i, 0 = -l*i - 2*i + 2*c - 4. Solve -3*x + i + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 4*r = -6*r, 0 = 2*a - 2*r - 10. Differentiate a*m**2 - 2*m**2 + m**2 - 2 with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (29821*w - 15399*w - 9853*w)*(2*w**2 - 5*w**2 + w**2).\nAnswer: -9138*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/((-18)\/(-6) + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5396004671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 214.9999421 - 215. Round m to 6 decimal places.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17873?\nAnswer: 61, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be 274\/(-660) + (-29)\/(-58) - 38\/(-209). What is k in 2\/15*k**2 - 2\/5 + o*k = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 364 and 1300.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -2*b**2. Let x(w) = 6215175*w. Determine x(j(k)).\nAnswer: -12430350*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*m - 13*m + 1512 = 13*m. Solve 12*d - 6*d = -m for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 222155 (base 10) to base 14.\nAnswer: 5ad63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 8584*z + 99. What is the thousands digit of r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 5924826.\nAnswer: -1\/1974942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 AM and 12:50 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 67689 = 5*q, -q + 3*q - 27068 = 3*r. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*a - 38*a - 49*a + 143*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of -2*d**7\/315 + d**6\/18 - d**5\/15 - d**4\/2 - 43*d**2 - 77*d. Let a(o) be the first derivative of k(o). Factor a(j).\nAnswer: -4*j*(j - 3)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 36 - 35.87. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -7 (b) 1\/2 (c) 270 (d) 12 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of j**6\/6 + 6*j**5\/5 + 3*j**4 + 8*j**3\/3 + 65. Factor c(w).\nAnswer: w**2*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (72\/9)\/(-8)*-11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (17 - 18) + 0 + (0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (35\/(-28))\/(2\/24). Let y be 63\/d*(-4 - 1). What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -69 + 152. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -39941 or -39661?\nAnswer: -39941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the third derivative of 0*r**4 + 0*r + 0 + 0*r**3 - 2*r**2 - 1\/60*r**5. Let w(u) be the first derivative of -4*u**3\/3 - 1. Give j(w(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 536.111698 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 286*w - 24. Let d be x(-10). Is (5 - 3)\/2 - d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 3*k**2 - 3*k - 393. Let i(n) = 8*n**2 - 10*n - 1178. Let d(g) = -4*i(g) + 11*j(g). Let b be d(0). Let x = -232 + b. List the prime factors of x.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 0, 14 in ascending order.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 6 = 2*n - 3*u, -n + 3*u + 10 = 0. Let d be (n\/2)\/(4\/(-12)). Suppose -11 = -d*m + 2*m + 2*h, 0 = -5*m - 2*h + 31. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5.17 and 0.3.\nAnswer: 1.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22540 is divided by 1327.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0.1 (c) -1\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 323 and -105?\nAnswer: -33915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -82238480*f**4 - 438486932?\nAnswer: -328953920*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11902524?\nAnswer: 2, 3, 443, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1)\/(b*b*b\/b**(2\/9)))**(2\/63) assuming b is positive.\nAnswer: b**(-68\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3562 - -3572. Calculate the smallest common multiple of c and 516.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.285 + 0.2850191. Round o to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h + 38*h**2 - 72*h**2 + 127*h**2 + h + 70.\nAnswer: 93*h**2 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 61, -2, 3, 6 in increasing order.\nAnswer: -4, -2, 3, 6, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -42 and -8768?\nAnswer: 368256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**2*t**3 - 3969*b**2*t**2 - 2*b**2 + 35*b*t**3 - 2*b*t**2 - b + 149*t**3 wrt t?\nAnswer: 12*b**2 + 210*b + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-7)\/(7\/2)*13200. Let z(p) = 120*p**2 + p + 1. Let j be z(-1). Let k be x\/((-4)\/(j\/(-9))). What is k rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 14) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 49623 and 27.\nAnswer: 446607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -181610 - 65*t**2 + 14*t**3 + 65*t**2 + 181610.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -49*f**2 - 3*f + 10. Let w be o(-7). Calculate the common denominator of (-4)\/(-18) + -1 + w\/216 and 37\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7630651 and 2180186?\nAnswer: 15261302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3093 and -2?\nAnswer: 6186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-24)\/(-4))\/(-18)*-15. Suppose 2*p + 16 - 8 = 0, 0 = t + g*p - 246. What is the highest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 436364 and 472?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 3*v = -300, -j + 0*j = -5*v - 108. Calculate the remainder when j is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 148380.8g in kilograms?\nAnswer: 148.3808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 4*i - 3*i + s - 1, 0 = -13*i - 2*s - 317 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:13 PM and 1:05 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 65613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 72211822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 135 and 2445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -6*q**2 + 38 + 127*q**3 + 19*q**2 + 4*q - 126*q**3. Let n be x(-13). Which is bigger: -4 or n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -0.6, 1\/2, -13, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -366*p = -182*p - 183*p - 14. Let y(g) = g**3 - 16*g**2 + 29*g - 9. Determine y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 - -2. Let r be 0*(9\/j - 2). Suppose r = 3*y - y - 38. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1756971 and 2819830?\nAnswer: 228406230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1149378?\nAnswer: 2, 3, 191563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1119808 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -55*j + 59*j - 56. Let r(b) = -b + b - b + 17. Let u be r(j). Solve -u*w + 5*w = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16.89328 rounded to one dp?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/28 and 15\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/3 - (-55)\/231. Sort w, 0, 17, -4 in descending order.\nAnswer: 17, 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*j + 23 + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-52)\/(-14))\/((-3682)\/(-38661))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5442?\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 1 + 2 - (-17 + 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -260.2744 - 0.1256. Let j = 246 + n. What is j rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 526 divided by 4?\nAnswer: 263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 220*s**3 + 3. Is m(2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-3)\/8)\/((-12)\/(-8)). Let f = -4.9 - -5. Let w(k) = k**2 - 5*k + 6. Let g be w(4). Which is the closest to m? (a) -2\/5 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z and 1 y when four letters picked without replacement from zzhjhzhyjzzjjzvh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 3164+-88461218\nAnswer: -88458054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 447, 908, 1383, 1878, 2399, 2952, 3543?\n\"Answer: j**3 + j**2 + 451*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*w - 16. Suppose 0 = -w*b + 10*b - 260. Suppose 3*z + f - 5*f = b, 3*z - 16 = -5*f. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 64 - 65. What is the nearest to -0.7 in 2, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.8 + 2. Let h(w) = w**3 - w**2 - 2*w + 2. Let j be h(2). Suppose -5*q + z = -3, 5*q - 3 = j*q + z. What is the third smallest value in l, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the first derivative of -a**6\/12 - 3*a**5\/10 - 3*a**4\/8 - a**3\/6 - 11. Let c(h) = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = 3*j - 170, -j - 25 = -3*u - 77. Solve 55*v + j = 44*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the first derivative of 13*q**5 - 5360*q**4 + 18085*q**3\/3 + 1645*q**2 + 1440. Determine o so that a(o) = 0.\nAnswer: -2\/13, 0, 1, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10020112101212 (base 3) to base 5.\nAnswer: 420113140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 74\/(-185) + 15128\/20. Calculate the greatest common divisor of y and 2772.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u + 2728 + 1206 = 0. List the prime factors of u.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-3 + 0)*(-372 - -371)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q + 66. What is the lowest common multiple of 45 and o(-21)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 189 + -78. Calculate the greatest common factor of 74 and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -3*l + 876. Let o(v) = -33*v + 10072. Let r(x) = 23*b(x) - 2*o(x). Let d(s) = -9 + s + 5*s + 2. Calculate -4*d(t) - 7*r(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2 - ((-66)\/10 + 5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -4*d - 836. Give a(-50).\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {q: 1, p: 4, u: 9}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-12)\/(-21) - (-6 + 559710\/85120). Is 0 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 110054, 110052, 110050?\n\"Answer: -2*u + 110056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes before 9:37 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4 and -0.034216?\nAnswer: -0.0136864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 415565 (base 8) in base 12?\nAnswer: 67b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z**3 - 84605*z**2 - z**3 + 84605*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 11) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-80)\/60*6\/14)\/(-1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 - 19*o**2 + 44*o + 44. What is u(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 1.4802382 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2530719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sreserrkssrrwr. What is prob of sequence rsw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2, 17, -4582, 5.\nAnswer: -4582, -4, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-5\/6)*i\/(i*i**(-4)))**20 assuming i is positive.\nAnswer: i**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -4121151 (base 7) to base 10\nAnswer: -492633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (8\/8)\/(137\/(-2055))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/((v\/(v**(-6)*v))\/v*v)))\/(v*v*v**(-4\/5))*(v*v*v\/(v\/(v**1\/v)))**(-24)*(v**(-3\/10)\/v**1)\/(v**7\/v**(-8)) assuming v is positive.\nAnswer: v**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 + 16*h**2 - 22*h + 109. What is a(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5261, 2, 206 in increasing order.\nAnswer: -5261, 2, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 3*r + 3, 2*r + 2 - 28 = -2*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - -1. Let d(y) = y + 2 - 2 - y**2 + 1 + 2. Let r be d(v). Solve -24 = 5*z - q, r*z = -0*z + 4*q - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -12*j - 33. Let k(c) = 7*c + 20. Let b(q) = -5*k(q) - 3*r(q). Suppose -5*p + 55 = -0*p. Let i(d) = -2*d + 2. Give p*b(t) + 6*i(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 579285 is divided by 108.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8377725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 51, 24, -1, -24?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u - 118823 + 6*u - 66719 - 9*u + 4*u.\nAnswer: -u - 185542","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12.9 - 1.9. Let w = 10.9999913 - d. What is w rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -231369 divided by -89.\nAnswer: 231369\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.46, 3, -0.072, -9, 0.04, 2 in descending order.\nAnswer: 3, 2, 0.04, -0.072, -0.46, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*q + 2*r - 18, 55*q - 51*q + 20 = 4*r for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1153.9488*-8.\nAnswer: 9231.5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 57 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5335935183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 12083, 24172, 36261, 48350, 60439?\n\"Answer: 12089*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and -18658.\nAnswer: 1865.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 6789565?\nAnswer: 6789556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3*1\/9*1. Let j = -13\/5 - -21\/10. Let u = 6 + -10. What is the nearest to t in -0.4, u, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23480, 23504, 23538, 23588, 23660, 23760, 23894?\nAnswer: 24068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11048 and 165720?\nAnswer: 165720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, b: 1, u: 1}. What is prob of sequence jb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 347 + 72. Suppose 4*b = 193 + v. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 at least as big as 507\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 AM and 10:19 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 5) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 + 2)*(7*w + 3*w - 2*w)*(-2*w + w - 4*w).\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 99026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 - 7*z**2 + 4*z - 32. Let k be u(-8). Solve -p - 5*w = -k*w + 7, -13 = -p + 5*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8285 - 3009*s**2 - 1702*s + 8285 + 1702*s.\nAnswer: -3009*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 2 + o + 1)*(-161 + 502 + 265)*(o**3 + 4*o**3 - 4*o**3).\nAnswer: 606*o**4 - 4242*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 8*c**2. Let g(n) = -5*n**2 + 9*n + 9. Let v(b) = b**2 - 2*b - 2. Let s(u) = 4*g(u) + 18*v(u). Give s(d(q)).\nAnswer: -128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + 2 + -2 - 0. Let v = 26 + -47. Let l be 1\/(-2)*(-14)\/v. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 95325387.\nAnswer: 3, 317, 100237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 88223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(13)*3*1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 + 19*q**2 - 2*q + 40. Let m = 111 + -92. Let p be a(m). Solve p*l + 4 = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35572*l - 26392*l + 29609*l.\nAnswer: 38789*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - c - 20. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19412344.\nAnswer: 2, 7, 346649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 276603 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3 times 71\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of -t**4\/6 - 5536*t. Let z(i) = 9*i**2 - 125*i**2 - 85*i**2. Determine z(g(b)).\nAnswer: -804*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 8*t**3 + 2*t - t - 21*t**3. Suppose 3*r - 22 = 4*v, -69 = -15*v + 18*v - 11*r. What is x(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1392300 divided by 2380?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(832) - (sqrt(832) + sqrt(832)*2 + sqrt(832) - sqrt(832))*-4) - ((sqrt(416) - sqrt(26))*-1)\/(sqrt(20)\/(sqrt(10) - sqrt(40))))**2.\nAnswer: -606*sqrt(13) + 132622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 16*r + 576. Let z be q(-36). Let f = -4 - -7. Suppose x - f = -2*x. Sort z, -4, x in descending order.\nAnswer: x, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-3\/8)\/f*f*f**(-5)*f**(2\/13)*f**4)\/(((f\/((f\/(f*f**3)*f)\/f))\/f)\/f**(-1\/6))**(-40) assuming f is positive.\nAnswer: f**(39139\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 + -5. Suppose -3*t - 3*f + 12 = 0, 2*t - 2*f - l*f = 36. Let m = 1 + t. What is the highest common divisor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*b**3 - 6996*b**2 - 78688*b + 2196480.\nAnswer: 4*(b - 1760)*(b - 13)*(b + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 11 = -5*z + 44, v + 13 = 2*z. Let j(w) = 2*w - 5. Let a be j(4). Suppose -a*q = -5*q + 6. Solve 3*o - 4*r = z*o, -r = -q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, p: 3, h: 2, k: 5, m: 1, o: 7}. Give prob of sequence orhm.\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*u - 193 + 125 = 0. Find the second derivative of -u*t**4 - 1 + 60*t**2 + 22*t - 27*t**2 + 30*t + 47*t**2 + 2*t**4 wrt t.\nAnswer: -24*t**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 5*p + 50. Let v be q(-10). Suppose 0 = 4*t - v*a + 4*a - 136, 3*a - 162 = -5*t. Solve -5*r + 5*f = -10, 5*r = f - 4*f - t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11132580992 rounded to the nearest 1000000?\nAnswer: -11133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yrryrry. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:54 PM and 11:40 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -860 = 4*d - 5*q, -3*d - 414 - 200 = 4*q. Suppose 60*b + 793 = -1398 - 149. Let l be (d\/b - 5)*2\/5. What is the closest to 2\/3 in l, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of 11*p**7\/42 + 5*p**4\/4 - 87*p**3\/2 - 3*p + 1. What is the second derivative of m(j) wrt j?\nAnswer: 220*j**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 264 and 68184.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -349.956 + 350. Which is the third biggest value? (a) d (b) 0.3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 2*o. Let i be (3\/(-9))\/(1\/(-9)). Let y(d) be the first derivative of 7*d**i + 46 + 0*d**3 - 28. Determine y(t(x)).\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18502 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (461*n**2 - 3 - 2*n + 4 - 463*n**2)*(-5 - 1 + 4).\nAnswer: 4*n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 0. Let b = 2 + t. Suppose -4*z + b + 11 = 0. Solve 0 = i - z*y + 4 + 3, -25 = -i - 5*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -22876 by 754.\nAnswer: -11438\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 72 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 11:40 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**2\/3 + 1336983416*f\/3 - 223440581832378632\/3.\nAnswer: -2*(f - 334245854)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 30 - 777\/21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003745426 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 103859 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 + 123*t - 4064. Determine z(27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 460, -1\/4, 4, -11, 0.036.\nAnswer: -11, -1\/4, 0.036, 4, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -167*t**2 + 32*t - 14. Let x(i) = 111*i**2 - 21*i + 10. Let n(j) = 5*h(j) + 7*x(j). Find the second derivative of n(r) wrt r.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 24*c + 4. Let q(r) = -49*r - 9. Suppose -24*x + 27*x = 27. What is x*w(m) + 4*q(m)?\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 1846 and -0.078.\nAnswer: 1845.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + l - 3*l - l)*(4*l - 4 + 4) + 320*l**2 - 487*l**2 + 277*l**2 in the form o*l + s*l**2 + m and give s.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.11 in -0.22, -1\/12, -2, 24?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1, -432, -18, 10 in ascending order.\nAnswer: -432, -18, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from {f: 2, j: 4, y: 4, c: 2, s: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -5*g + 3. Let k be q(2). Suppose -3*z = -t + 22, -4*t - 3 = 5*z + 11. List the prime factors of (-68)\/k + z\/(-21).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rpprprpprrprr. Give prob of picking 2 p and 1 r.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 22897.71 tonnes?\nAnswer: 22897710000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + z = 49, 3*j + 35 = 2*z - 8. Let y = j - -15. Is 5 a factor of y\/6 - 102\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1\/6, 0.087, -7\/4, 0.43.\nAnswer: -7\/4, -1\/6, 0.087, 0.43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 137 - 145. Let m be (25\/(-4))\/(u\/32). What is the third smallest value in -1\/9, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, -0.2, -6, 1\/6.\nAnswer: -6, -0.2, 1\/6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -244279*z**2. Let w(j) = -18*j - 9. Give w(l(r)).\nAnswer: 4397022*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 245 and 367045.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 11 - 39.07?\nAnswer: -28.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -2eeeb (base 15) to base 5.\nAnswer: -14324441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12 in 5\/4, 7, -16\/3, -0.5, 4\/7?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4836.932 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1454.255 minutes?\nAnswer: 87255300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**2 + 8*d - 6. Let k be q(5). Suppose g + 2*g - k = 0. Suppose -2*l - g*l + 60 = 0. What is the remainder when 19 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 - 3*x**2 - 8*x - 10. Suppose 1359 = -177*u + 180*u. What is the remainder when u is divided by j(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 7) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 260 - 247. Let y(r) = 6*r**2 + 4*r - 4. Suppose 3*t = 6*t - 9. Calculate the remainder when y(t) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 8:22 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-86)\/((-7912)\/138))\/(1\/((-2)\/(-5)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 254*k - 21. Let a(p) = 4*p**2 + 2*p - 1. Let c be a(1). Is y(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*o + 14*o - 47*o - 387*o**2 + 11*o + 14*o.\nAnswer: -387*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -127*y**4 + 4*y + 37 + 39 - 109 + 40 wrt y.\nAnswer: -1524*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + -2*sqrt(1900) + 0 + sqrt(1900) + 1)*-3 + -2 + -5)**2.\nAnswer: -1140*sqrt(19) + 17461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*w + 8 - 8)*(-166534 + 83263 + 83271 - 4848*w) to m*w**2 + p*w + j and give m.\nAnswer: -14544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 829 a factor of 1238694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvcl when four letters picked without replacement from cnvunfflvulnvff?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 3*j - 5440, -1360 = -0*h - h + 4*j. Suppose 0 = -3*t - 325 + h. List the prime factors of t.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -67914, -67878, -67842, -67806?\nAnswer: -67770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, s: 3, h: 11, d: 3}. Give prob of sequence hde.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 15\/(-25) + (-576)\/(-10). Suppose c + 0*c - h = 0. What is the remainder when c is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r - 3*r + 5*r)*((2 + 3 - 6)*(2 + 2*r - 2) - 3*r + r + r - 2 - 3*r + 2 - r + 4 - 4)*(-19 + 17 - 11).\nAnswer: 91*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8.956 + 8.856. Let w = -25 + 126\/5. Sort j, 8, -2\/5, w in decreasing order.\nAnswer: 8, w, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3 + (-3)\/1*-1. Suppose s = l - 5*l - 55478452. Let v = -4569613 - l. Round v to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, i: 1, k: 2, v: 1, u: 2}. Give prob of sequence iu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that m**4\/4 - 845*m**3\/2 - 11863*m**2\/4 - 6785*m - 5091 = 0.\nAnswer: -3, -2, 1697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 26739 times 22\nAnswer: 588258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h - 1. Let n be z(-7). Let f be n\/10 + (-3)\/15. Does 5 divide (-110)\/(-15) - f\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-5)\/(-70))\/(12\/(-329)) - -2. Let q(m) be the third derivative of l*m**4 + 0*m - 5*m**2 + 0 + 1\/3*m**3. Find the first derivative of q(n) wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*j - 0*j + 5*y, 3*j - 25 = 5*y. What is f in 2*f - 3*f + 8*f**4 - 15*f**2 + 20 - 12*f**4 + 5*f**4 + j*f + 2*f**3 = 0?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13 + -10. Which is bigger: 11\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 7 - 1)*(c - 5 + 5 - 2*c + 7*c - 3*c + (-2*c + 2 - 2)*(-3 + 3 + 5)) - 47 + 47 + 3*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - 16.056. What is s rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 + 7*p**2 + 8. Suppose 0 = -9*y + 30 + 15. Suppose 15*d + 40 = -y. Let c be (-14)\/(d\/6 + 3\/(-2)). What is v(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 15 - 21. Let f(q) = q**2 + q + 3. Let t be f(0). Suppose -w*v + t*g = 2*v - 65, -2*v = -4*g - 26. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -235, -3\/2, -422, 0.5, 4, -1\/2?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Work out 526829 * 17.\nAnswer: 8956093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor c**5 + 3*c**4 + 2*c**3.\nAnswer: c**3*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -14796 * -0.065.\nAnswer: 961.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 68, 86, 102, 116, 128, 138, 146?\n\"Answer: -x**2 + 21*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7344 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(7\/3)*(u\/(u\/(u**7\/u)))\/u*u**(-6\/11)\/(u**2*u) assuming u is positive.\nAnswer: u**(125\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 4*a + 6 = 0, -j - a = -0*j - 3 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0, -0.047, 128, 24, 2\/7?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 11, 2, -5, 5 in descending order.\nAnswer: 11, 5, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13951\/2275 - (6 + 0) - 0 and 5.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -g**3\/2 + 92143*g**2 - 368569*g\/2 + 92142 = 0.\nAnswer: 1, 184284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 42505970.22900173 + -42505970. Let x = 19.5 - 19.271. Let k = x - v. Round k to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - 8 - ((3 - 9) + -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - 9. Let f(a) = -a**2 - 10*a - 8. Let w be f(m). Let p be (-315)\/(-6)*w\/6. What is p rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6*-2*22\/6. Calculate the common denominator of 0 + -2 - (b - 1) and (54\/5)\/(77\/(-35)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/5, -3, -18040\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * 0.62.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 213*j - 32 = 218*j - 152 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 7 = -p + 16, 2*q = 4*p + 18. Let i be (-171)\/(-2) - 2\/(-4). Suppose -5*v + 149 = -5*x - 11, 0 = 3*v - q*x - i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6111162?\nAnswer: 2, 3, 467, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -313 - a + 313. Let q(z) = 19*z**2. Give q(o(l)).\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 70 - -187. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 + 8*a**2 + 4. Let n be p(-8). Suppose -n*v + 5*q = 35, v - 5*q - 10 = -0*q. What is the units digit of 6\/v - 516\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -4 (c) 461911\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*q*(q**(1\/2)\/q*q)\/q)**28\/(q**13*(q\/q**(-1\/6))\/q) assuming q is positive.\nAnswer: q**(341\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 170*t**3 + 1 - 94*t**3 - 7 - 78*t**3 + 3 + 4.\nAnswer: -2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 - (-3)\/(5 - 2)*161. What is the remainder when 26 is divided by (-2)\/5 - (-1184)\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 30766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 30*n**2. Suppose 3*c = -5 - 1. Let k(h) = -h**2 - 1. Let f(x) = -x**2 - 2. Let y = -34 - -35. Let w(u) = c*k(u) + y*f(u). What is w(i(d))?\nAnswer: 900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 1213*l**2 + 71*l - 17. Let i(d) = -303*d**2 - 16*d + 4. Calculate 9*i(j) + 2*r(j).\nAnswer: -301*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 19410 = -5*t + 51584, 0 = -5*t + 4*u + 71008. Round t to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -197 + 39. Let g = p - -180. Is g at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ncnnnncncncncn. What is prob of picking 2 n and 2 c?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3*(14\/(7 + -5) + 4). Which is smaller: 30 or c?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence entv when four letters picked without replacement from novgtevveonv.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 5, 3, -5, -19?\n\"Answer: -3*d**2 + 7*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/115346 and 73\/1568.\nAnswer: 1845536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -y**2 - 48*y - 265. Find the common denominator of -67\/69 and w(-43).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -9\/1862 - -90397\/18620. What is the common denominator of c and -43\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -357 + 357. Let p(a) = -a**2. Let s(y) = 2*y**2 + y - 1. Let x(h) = -p(h) - s(h). Let w be x(0). Solve v = -4*i - w + 13, 0 = 4*l + 5*i - 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**3 + 11*x**2 - 10*x + 12. Give d(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -17923404, -17923408, -17923414, -17923422, -17923432?\n\"Answer: -r**2 - r - 17923402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is cc3 - 0?\nAnswer: cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-3\/4)*n**(-2))**(6\/7)*((n**(-2)*n)**11)**(-25) assuming n is positive.\nAnswer: n**(3817\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-1) + (0 - -56). Let m = 89 - o. Suppose -4 = -3*s + m. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 0.5 (c) -292 (d) 5 (e) 1\/5 (f) 78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 4 = 3*u. Suppose 11 = 2*i + 3. Suppose -3*t + i = 2*k, -5*k = 4*t - 2*k - 5. Solve -t*s - 10 = 0, -4*n - s = u*s + 23 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3461610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -4*o**2. Let g(h) = 7*h - 3. Let j(x) = -14*x + 7. Let i be 3\/24 - (-69)\/24. Let y(l) = i*j(l) + 7*g(l). Determine y(p(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are 139764 and 139762 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27368*x + 80833*x - 35658*x + 145924*x + 46332*x.\nAnswer: 264799*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 6, 5, 12, -1 in ascending order.\nAnswer: -1, 0, 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27)\/15*4480\/61824?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**3 + 9*c**2 + 8*c + 2. Suppose -3*m = 20 + 4. Let p be g(m). Let f be 2\/(p + (-10)\/4). Let d(s) = 2*s. Determine d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/3 - -3) + 0. Let l = 8 - v. Suppose l*n - 3 = -0*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(3\/4)*j\/(j\/(j\/j**(-2\/5))) assuming j is positive.\nAnswer: j**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 8*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 97*a - 4 + 2416*a.\nAnswer: 2513*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(1 + ((2*sqrt(171)*-1 - (sqrt(171) - (sqrt(171) + -4*2*sqrt(171) + sqrt(171)) - sqrt(171)))\/((-1*sqrt(144) + sqrt(144) - sqrt(144))*-5))**2)*-5.\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 45, 4, -13453, 2\/3, -1 in descending order.\nAnswer: 45, 4, 2\/3, -0.3, -1, -13453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-130 + -1)*(2 - 3). Let x = 194 - w. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -72*u**2. Let h be (-2)\/3*(-9)\/(-6). Let y be v(h). Let c = y + 109. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.496*0.3\nAnswer: -0.1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 - 12. Is d smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 93262 + -31511. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 0.4, -1\/11, -104 in increasing order.\nAnswer: -104, -0.4, -1\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 205889 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -55285\/1106 equal to -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -5*d**3 - 13*d**2 - 91*d - 2. Let s(p) = 4*p**3 + 11*p**2 + 90*p + 2. Determine -6*s(y) - 5*t(y).\nAnswer: y**3 - y**2 - 85*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 16\/27 and 83\/162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-46)\/(((-437)\/(-19))\/23).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -6 - (-7 - 1 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 260 and 3019430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-27)\/(-12))\/(1\/116). Suppose -12*l = -21*l + v. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1919611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -720 - 2595.\nAnswer: -3315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 1. Let k(i) = 18*i - 6. Let r(h) = -k(h) - 8*o(h). Differentiate r(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -2474*a + 2477*a - 160, -3*w = 4*a - 141. Suppose 3*u = -0*u + 282. What is the remainder when u is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 8*f**3 - 4*f**2 - 237*f - 1432. What is b(-7)?\nAnswer: -2713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23617 - 1401 = 8*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.309923 or 4?\nAnswer: 0.309923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 5*x + 6 = 0. Let g(n) = -2*n - 4. Let p be g(x). Solve -4 = -3*y + p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**2 - 26*h + 1496. Does 34 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2360048 to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b - 1. Let m(p) = -10*p - 6. Let j(l) = l**2 - 4*l - 39. Let u be j(-5). Let t = -1 - -17. Let v = t - 17. What is u*r(q) + v*m(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 1 = 0, 2*z - 27 = -j - 2. What is the remainder when z is divided by (-2 - 10\/(-6))*-15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x**3 + 3*x - 2. Suppose -2*n + 150 = 3*n. What is the remainder when n is divided by a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + -2. Let r = 9 - 7. Suppose 0 = -r*w + 2 + 4. Which is the nearest to -1? (a) w (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.05 and -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3c (base 14) in base 15?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4*t + 16031*t**3 + 3*t + 147 - 16034*t**3 wrt t?\nAnswer: -9*t**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -33567 * 0.4\nAnswer: -13426.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-3\/2)*(j\/j**(4\/7))\/j*((j**(-3)\/j*j)\/j)\/(j**(-7)*j))\/(j**(2\/19)\/j**(-1\/5)*j**4*j*j**1) assuming j is positive.\nAnswer: j**(-7151\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuubuuuuubu. Give prob of sequence ub.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9142577\/90 + 101583. What is the common denominator of -39\/70 and s?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes after 10:43 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (8*v + 5*v - 2*v)*(23*v + 42*v - 19*v) in the form c*v**2 + r*v + i and give c.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - 0. Let r = 5 + -4.8. Suppose 6 = 3*x - 6*x. What is the third biggest value in x, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes before 8:08 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*t + 5*t - 2*t)*(-t**2 + 0*t**2 + 0*t**2 + (-t - 4 + 4)*(62*t + 72*t - 51*t)) in the form h*t + g*t**3 + p + u*t**2 and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-19)\/(-2))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2696 * -0.6\nAnswer: -1617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 18 + 13 + 2*u - 1282*u**2 - 41 + 13 as l*u**2 + v + m*u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1329425 - -39770\nAnswer: 1369195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-2\/7))**(16\/3)*((j\/j**(1\/11)*j)\/j*j)\/(j\/(j**(-2\/11)*j)) assuming j is positive.\nAnswer: j**(47\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -113*a + 100*a. Suppose -3*q = 2*h - 5*h + 240, a = 5*h + 5*q - 390. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**0*b*b)**(5\/8)*(b\/(b*b**(-10)*b))**(-1\/6))**(-1\/5) assuming b is positive.\nAnswer: b**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put together 7.849 and 0.94.\nAnswer: 8.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 11 = -15. Let a = -0.35 - 0.05. Let y be (20\/18)\/(6\/9). What is the third biggest value in a, i, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -116 (base 9) to base 10.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -20 - 110305?\nAnswer: -110325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14174 + 107780. Suppose 4*o + 2*i = 94432, 0*o - 5*i = 3*o - 70838. Let h = o - j. What is h rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = -p + 2*t, t = 5*p - 93 + 127 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 63 = 247. Let j = o + 68. Let u(l) = l**3 - 5*l**2 - 8*l + 2. Give u(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:17 AM and 12:26 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 + (-5)\/2)*12. Suppose 48 + 6 = -d*f. Is (-2)\/f + 156\/27 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of d**9\/60480 - d**8\/4032 - d**6\/240 - d**5\/20 + 12*d**2. Let q(a) be the third derivative of j(a). Determine q(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 2*g + 24 = 0, -6*y + 5*g + 624792 = 624754 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*s**3 + 351*s**2 - 20686*s**2 + 4*s**3 + 3*s**3 - 24835*s**2.\nAnswer: s**3 - 45170*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvmxyqyxxvmqyqmqy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 - 0. Let r(m) = 4*m**4 - 5*m + 9. Let x(a) = 4*a**4 - 4*a + 8. Let f(n) = p*r(n) - 5*x(n). What is the first derivative of f(c) wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.01 - 14.39. Let y = -6 + p. Round y to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 2*f + 3*b = -156, 5*f = -3*b + 222. Let m = 363 - f. Let v = m - -46. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -3*t + 1. Let h be s(-1). Factor 0*b**4 - 4*b**3 - b**4 - 2*b**3 + 4*b**h + 6*b - 3.\nAnswer: 3*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, v: 4, w: 1, z: 1, n: 3}. Give prob of picking 1 n and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2175*v - 53681 - 88387 - 107465 = -32033 for v.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 70 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are -34\/7765 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (9 - 7 - 12) + (7 + 3 - 21)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5010219591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3325*i + 1528*i - 59440 = 1138*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 88 by -1.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -9 + 9*d + 17*d + 21 - 14. Let f(c) = 12*c. Calculate f(a(p)).\nAnswer: 312*p - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6756\/29 + -233. Let o = 27\/58 - k. What is t in 1\/2*t**2 + 0*t - o = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9*(2145\/99)\/(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 7, -43, -0.093, -5 in increasing order.\nAnswer: -43, -5, -0.3, -0.093, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -473*q = -479*q + 576. Calculate the greatest common factor of 36 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -428 = 3*u - 796 + 458 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*p**2 + 39*p**2 - 77*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -q - 2*a + 35, 0 = 5*q + 2*a - 160. Calculate the remainder when q is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19.4 + -19. Which is the nearest to -4? (a) 4 (b) 2\/13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -18 - -19. Let w = q + 4. Find the third derivative of 3*p**5 + p**5 + 4*p**w - 4*p**2 - 4*p**5 wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((5\/(-40))\/((-250)\/120))\/((-18)\/15).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.27423 times 10.5?\nAnswer: 2.879415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 94055 to the nearest one thousand.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -0.17 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1219.14692561 - 1153.1469263. Let y = u + -66. Round y to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -247 + -60 + 153 - -76.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the second derivative of i**7\/168 - i**5\/40 + i**3\/24 + 10*i. Factor m(u).\nAnswer: u*(u - 1)**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 3, h: 13, e: 2}. Give prob of picking 1 j and 2 h.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -113282, -226560, -339840, -453122?\n\"Answer: -m**2 - 113275*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-54)\/(-15) - (-4)\/10. Suppose 78 = -y*s + 246. Suppose 5*n - 2*n = -t + 30, -2*t + s = 4*n. What is the smallest common multiple of 8 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and 190?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (1300\/(-192) - -7)\/((-2)\/42) and -55\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 5 = 2*y, -5*y - 3*w - 6 = 3. Sort 9, -4, 5, y, 3 in descending order.\nAnswer: 9, 5, 3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 + 8 + -7 + (12 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/26 (b) 2 (c) 23\/6 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22 - 22.3. Let r = 0 + 0.1. What is the closest to 0.2 in q, r, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 258 - 66 = 0. Let y = t - -105. Let c(f) = 0 + f - 2 + f**2 - 3 + 3. What is c(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2ab + -22ccd?\nAnswer: -23089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 784381*d**2. Let w(b) = -158*b**2. Give i(w(r)).\nAnswer: 19581287284*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 + 5*y + 111. Give q(0).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (7 + 1)\/(24\/(-20))*(10050\/400)\/201\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 96 = -312. Let k be -3 + 231\/85 + (-16)\/r. Let m = -1.1 - -4.1. Which is the smallest value? (a) -2 (b) m (c) k (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4001921 + 36?\nAnswer: 4001957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 99 - 97. Solve -4*q + l - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7818940 bigger than -117284116\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**2 - 10*t + 1240000. Let l be u(0). What is l rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2411, 1879, 1387, 935, 523?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**3 + 7*h**2 + 3*h - 10. Let i(x) = -5*x - 58. Suppose 657 = -17*m + 8*m. Let j be m + 76 + (-1 - 3*5). Let r be i(j). Determine t(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -6 + 663\/91 - (-4)\/(-14). Sort w, 7, -5, -22 in descending order.\nAnswer: 7, w, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 514, 6, 3.\nAnswer: -2, 3, 6, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-4)\/(24\/160*(-3)\/9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*s - 18 = 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -17 - 13. Is (4\/n)\/(5\/(-195)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l - 14. Let y be h(-5). Let z = y - -86. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10457809339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1090, -3, 159238 in descending order.\nAnswer: 159238, -3, -5, -1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be (12*-1 + 2)*2. Let b = 10 - j. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 + (-2 + 2)\/(-2). Let o be 2 - v\/(-3) - (-8)\/(-4). Which is greater: o or 1\/26?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1995, -1717, -1245, -573, 305, 1395, 2703?\n\"Answer: x**3 + 91*x**2 - 2*x - 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(40)\/sqrt(5) + 2 + (sqrt(288)*3)\/sqrt(4))*-1 + 2.\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/8 (b) 72 (c) 2\/7 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.8537 from -361.\nAnswer: -361.8537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.353235 millilitres to litres.\nAnswer: 0.003353235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -2*i**2. Let v(l) = 10*l + 7*l - 14*l. Determine v(c(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 2*l**4\/13 - 4744*l**3\/13 + 499164*l**2\/13 - 13187240*l\/13 - 13691150\/13 = 0.\nAnswer: -1, 55, 2263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6510 or 6457?\nAnswer: 6457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 5*j - 5 = -3*i, 0 = -i - 5*j + 9. Let c(l) = -82*l - 2. Does 20 divide c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 285055470 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (489\/1467)\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -5*1*sqrt(242)*2 + 4 + -2 + -4)**2.\nAnswer: -440*sqrt(2) + 24204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2728694432 - 2728694432 + 3*u**2 - 5*u**3.\nAnswer: -5*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -175, -360, -545, -730, -915?\n\"Answer: -185*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bt when two letters picked without replacement from {t: 1, b: 2, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, n: 1, i: 3, s: 4, d: 5}. What is prob of sequence dni?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1.05 (b) 10 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3381 - 1576. List the prime factors of x.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from srrffssrsrs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -7, -11958, -234 in decreasing order.\nAnswer: 1, -7, -234, -11958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*q**2 - 24059*q**3 - 44*q**2 + 24055*q**3 + 33*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 4435116 (base 7) to base 8.\nAnswer: 2053764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5\/(-1) + -1 + -357. Let l = x - -618. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -2*a**3 - 45*a**2 - 7*a - 36. Let h(z) = -z**3 - 23*z**2 - 3*z - 18. Let x(q) = 5*h(q) - 2*i(q). What is the second derivative of x(f) wrt f?\nAnswer: -6*f - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:49 AM and 3:28 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from imtsts. What is prob of sequence ttmi?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes after 3:21 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence chzm when four letters picked without replacement from {v: 1, m: 1, z: 1, c: 6, j: 3, h: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the first derivative of m**2 + 3. Let t(f) be the second derivative of f**4\/4 + f. Calculate t(x(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2042 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 + 6. Suppose -c*x + 9 = -3. Let g be ((-2180)\/(-6))\/(2\/x). What is g rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -89 (b) -4 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5\/6*b**3 - 1\/3 + 5\/6*b + 1\/3*b**2 = 0. What is b?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5\/6*z**3 - 5\/6*z**5 + 0 + 0*z + 35\/3*z**4 - 35\/3*z**2 = 0. Calculate z.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -26*h**3\/15 + 36*h**2\/5 - 94*h\/15 + 4\/5 = 0.\nAnswer: 2\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 32 - 213642?\nAnswer: -213610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*s = -80*s - 37286. Is -4692\/13 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -80, -12, 176, 544, 1152, 2060, 3328?\n\"Answer: 10*k**3 - 2*k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0.42 - -9\nAnswer: 9.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000059602 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 5*x + 7. Give o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**27*c)**(-22)\/(c*c\/c**27*c)**(-2\/53))**19 assuming c is positive.\nAnswer: c**(552938\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*u - 347 + 1861 = 76*u - 358 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(-1\/2))\/s**4)**(2\/59) assuming s is positive.\nAnswer: s**(-7\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.4, -0.5, 10364?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -8*o**2 - 66*o + 42*o - 11 + 12*o + 9*o**2. Let f(l) = -26*l**3 - l**2 - 3*l - 2. Let b be f(-1). Suppose 0 = -6*a + 4*a + b. What is v(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*l + 27036 = -1476*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3093023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -1\/9 (b) -31 (c) 0.4 (d) 4 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**3 + 9*p**2 - 10*p + 26. Is w(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41897 plus 14?\nAnswer: 41911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -31 + 115. Let y = 184 - c. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -3381, -12332, -26833, -46878, -72461, -103576?\n\"Answer: w**3 - 2781*w**2 - 615*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 4*o = -285, 0 = 4*z - 6*o + 2*o - 228. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 25222, 50445, 75674, 100909, 126150, 151397?\n\"Answer: 3*y**2 + 25214*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -98.0079 - -98. Round i to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3537324*v - 3250*v**3 + 3251*v**3 + 3537324*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -595, -1193, -1789, -2383?\nAnswer: -2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/(z*z**(1\/6))*z**0*z)\/(z*z*z**1)**(-6) assuming z is positive.\nAnswer: z**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*p - 10*p - 90*p**3 + 88*p**3 - 1 to the form a*p + b*p**3 + i + l*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 25.56216ns in hours?\nAnswer: 0.0000000000071006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -59\/210 + -1\/210. What is the second biggest value in -3, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = 43 - 63. Let d(x) be the second derivative of 0*x**3 - 6*x + 0*x**4 + 0 + 1\/2*x**2 + 3\/20*x**v. Give d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -70\/257 + 16983\/6682. What is the common denominator of j and -57\/7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1 - -756) + -95 + 94.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 32.7 - 34. Let p = 0.3 + c. Let z = -0.28 + 0.78. What is the second biggest value in p, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + h - 6, -p - 4*p + h = 18. What are the prime factors of (19 + -20)*p\/((-6)\/(-170))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**2\/3 - 7350436*y\/3 - 124956256\/3.\nAnswer: -4*(y + 17)*(y + 1837592)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 408 = 4*l - 418, 2*f + 3*l = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*m**4 + 2*m**2 - 2*m**2 - 4*m**2 wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 0*p - 8915*p**2 + 8914*p**2 + 37*p - 1 as r*p**2 + u*p + a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + 26*b**2 - 124*b + 292. What is u(-30)?\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 37116600.\nAnswer: 2, 3, 5, 61861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -186 equal to 31.64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-64)*14*(-312)\/364*(-14)\/(-3)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -13 - 2, 4*d = 4*y - 36. Let r = -313 - -325. What is the smallest common multiple of y and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 + 18*o**2 + o + 18. Calculate the smallest common multiple of z(18) and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j**2 + 1386*j - 698*j - 688*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000003331 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -12*d - 52. Calculate the lowest common multiple of t(-8) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 26002330 (base 8) to base 7.\nAnswer: 100013342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*y + 278 - 78 + 40. Calculate the remainder when 1362 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/3 + 143\/(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*v + 8008 = -10*v. Suppose -3*l = 9, 2*p - 325 - v = l. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f. Let h(m) = -533*m + 2. Let b(x) = -2*c(x) - h(x). Let k be b(-4). Let z be -2 + (k - 1)*-14. What is z rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 74436.264s in hours?\nAnswer: 20.67674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 6*i + 4. Suppose -3*z = 2*z - 25. Let x be (-18 - -16) + (1 - (-3)\/(-1)). Let a(o) = 6*o + 3 - o + 0. Determine x*k(w) + z*a(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-1))\/2*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of k*s**3 + 16*k*s**2 - 5*k*s - 106863168*k - 2971*s**3 - 1378*s**2 wrt s?\nAnswer: 6*k*s + 32*k - 17826*s - 2756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 97758.22 years?\nAnswer: 97.75822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01337176008 to five dps.\nAnswer: 0.01337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -122*o + 2. Let l(r) = -11*r**2. Calculate l(y(z)).\nAnswer: -163724*z**2 + 5368*z - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/10? (a) -2\/9 (b) -2\/201 (c) 4737\/2 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 14 - -1056.9323999?\nAnswer: 1070.9323999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (1 - (4 + -2 + -11)) - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * 0.0307.\nAnswer: -0.00614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + 3353?\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(15) + sqrt(75)\/sqrt(5)))\/(sqrt(605)*-1) - 3*(5 + (sqrt(363) + sqrt(363)*-4 - sqrt(3)) + sqrt(3))**2)*-1.\nAnswer: -10878*sqrt(3)\/11 + 9876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the first derivative of -j**5\/90 + j**3\/27 - 3*j - 2. Let d(a) be the first derivative of p(a). Factor d(w).\nAnswer: -2*w*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 45*c**3*w**2 - 1323*c**3 + 4*c**2 + 400036*c*w**2 wrt c?\nAnswer: 270*w**2 - 7938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-4\/3)\/q**(14\/9) assuming q is positive.\nAnswer: q**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3290\/(-376))\/((-56)\/(-64)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 77133, -14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 907 + 5*j**3 + 0*j**2 - 901 + j**2 - 3*j. Let a(v) = -14*v**3 - 3*v**2 + 8*v - 17. Determine 6*a(y) + 17*m(y).\nAnswer: y**3 - y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from nuuuc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 507999 is divided by 16933.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 + t + 1. Let s(y) = -12*y**3 + 5*y + 5. Determine -5*m(q) + s(q).\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -3 (b) 3 (c) 2\/13 (d) -0.3 (e) 1.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -15*k + 11. Let m(t) = 4*t - 44. Let h be m(12). Let u(p) be the third derivative of 3*p**2 - p**3 + 0 + 0*p + 1\/3*p**h. Calculate -11*u(a) - 6*y(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 851004.3 millimeters?\nAnswer: 85100.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-167)\/(-5) + (2150\/1500*6 - (6 + 3))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 2*h + 4)*(32*h + 12*h - 79*h).\nAnswer: 70*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -436529*y**2 + 3 - 3 + 436524*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*n + 6525 = -7*n. Suppose 22*p - 13*p - n = 0. Let d be (-1 + -28)\/((-1)\/2). Calculate the highest common divisor of d and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 100149, 100136, 100113, 100080, 100037, 99984?\n\"Answer: -5*w**2 + 2*w + 100152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -28*h. Let q(p) = -13*p. Determine q(w(o)).\nAnswer: 364*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes before 2:01 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1446 divided by 1614.\nAnswer: -241\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -321132 - -1110?\nAnswer: -320022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + r = -28 + 38, -5*g = -r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**2 + 2*w**2 + 0*w**2)*(2*w - w + 0*w) + 2*w**2 + 1171*w**3 - 2*w**2 - 1135*w**3.\nAnswer: 37*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2\/5 - 51492*x\/5 - 331428258\/5.\nAnswer: -2*(x + 12873)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1602, -2, 5, 0.5, -4 in descending order.\nAnswer: 5, 0.5, 0.1602, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/10 and -23\/571.\nAnswer: 5710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, 1, 5, 7, -109, 0.\nAnswer: -109, -26, 0, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 148 = -4*a - w, -5*a + 4*w + 144 = 0. Suppose -4*j + 3*j + 16 = 4*s, -3*j - a = -4*s. Solve 0*r + 10 = -s*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 885048546 to the power of 1\/2, to the nearest integer?\nAnswer: 29750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 266 and 3206.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 189717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -2135*s + 89723. Determine v(42).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 1972156*d**4 - 114310156*d**3 - 4342788*d**2 - 54980*d - 232.\nAnswer: 4*(d - 58)*(79*d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 433356 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of -c**5\/5 - 77*c**2. Let k(b) = -4*b. Determine k(i(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 296329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 88197 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4630 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -754 + 312. Is 44 a factor of (-42 + w)*(-1 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 230263.8 to the nearest one hundred.\nAnswer: 230300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*g - 3*g - g**2 + (3 - 3 - 2*g)*(-3 + 3 - 5*g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44334?\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 38 (base 15) to base 2\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 2750062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the third derivative of -f**5\/12 - 30*f**2 - 5. Let l(s) = -98*s**2. Determine l(m(y)).\nAnswer: -2450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (4 + -3 - 2)\/(2\/(-20)) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.85886561 to four decimal places.\nAnswer: -2.8589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.414099 millilitres in litres?\nAnswer: 0.000414099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 295 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 42, -2, -6 in descending order.\nAnswer: 42, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of 7*c**2\/2 - c - 13. Let z(l) = -2*l + 3. Suppose 0 = 2*i + 5*r - 24, -3*i - 10 = 5*r - 36. Let g be z(i). Give a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*z + 25 = 15*z + 5*y, 7*z + 2*y + 27 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 32892999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -7*k**2 + 38*k - 2. Let t(i) = -30*i**2 + 150*i - 8. Give 2*t(a) - 9*v(a).\nAnswer: 3*a**2 - 42*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000847666 rounded to six decimal places?\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 339036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 2:25 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18531 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2 + (0 - -6))\/(-1). Does 2 divide h\/(-6)*(2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 - -6.6. Sort z, 0.5, -5 in descending order.\nAnswer: 0.5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*m + 37*m - 28 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 165.22231 rounded to one dp?\nAnswer: 165.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 377*d + 3775. Is t(39) a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**2 + 5*d - 6. Let m be i(-6). Let r = m + 2. Put r, 1, -2 in ascending order.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 109 and 108019.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 PM and 6:36 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 71 + 59 = -122*z - 114 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1992067, -3984129, -5976189, -7968247?\n\"Answer: q**2 - 1992065*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1069.14 + -1079. Let y = 0.34 - v. What is y rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, -1, -5 in increasing order.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**3 + 20*n**2 - 19*n + 30. Determine s(19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is ce70d + 6c?\nAnswer: ce779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/2 at least 16095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -46551*h. Let z(r) = -r**2. Determine z(j(a)).\nAnswer: -2166995601*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) 2\/5 (b) 0.2 (c) 3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -25 + 8 + 36\/(48\/(-8))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l - 70 + 91 = 0. Let 2\/7*s**l + 8\/7*s**2 - 8\/7 - 2\/7*s = 0. Calculate s.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 11660.2951 to the nearest integer.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1017448895 to the nearest integer?\nAnswer: 31897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1003366476 divided by -458577\nAnswer: -2188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 131670 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*(z\/z**(4\/19))\/z*z*z*z*z*z\/(z\/(((z*z*z**(-2\/59)*z*z)\/z)\/z)*z) assuming z is positive.\nAnswer: z**(6452\/1121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 - 8*p**2 - 5*p + 7. Let t be s(-7). Let b be (24\/(-7))\/6*t. Solve 0*l + b*l - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -198036*m**3 + 89*m - 1372 wrt m?\nAnswer: -1188216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**2 + 2*z + 3. Let a be r(4). Let k(g) = g**2 - 19*g - 86. Let j be k(23). Let s(c) = -526 - c**2 - j*c + 1046 - 524. Give s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -16f (base 16) to base 4\nAnswer: -11233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 6*c + 6. Let s be p(-1). Suppose -2*f + 4*a - 187 = -457, s = 2*f + 5*a - 234. Let z = -86 + f. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-16)\/(-56))\/((-1)\/(-1043)). Suppose 21 - 284 = -4*i + 5*h, 4*i + 2*h = l. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r - 2. Let x be d(-2). Let i = 16 + -26. Let n be (0 - 3\/6)*i. Solve x*y - n = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 823022287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 51 and 2\/(-2)*-5*9*13\/5.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -3 - (-29 - -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of 139*a**2 + 5*a + 12. Let f be h(1). Suppose 43 = -o - 4*w + f, 3*o = 4*w + 704. Is 46 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than 41\/117514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4767\/84 - 6\/8. What is the second smallest value in o, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004431 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v + 9*v - 28. List the prime factors of -4*v\/24*-717.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 2*s - 7831843 = -6*q, -3132718 = -2*q + 4*s. Let d be (-2)\/(-8) + 9752802\/24. Suppose -q = -4*p - d. Round p to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/7*i + 10\/7*i**2 + 9\/7*i**3 + 0.\nAnswer: i*(i + 1)*(9*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2873, -5738, -8603?\n\"Answer: -2865*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((1*-1*sqrt(637))**2 - (sqrt(637) + sqrt(637) + (1 + sqrt(637))**2 + -1) - (-2*-1*sqrt(637)*-4)**2).\nAnswer: -40768 - 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -37738, -150871, -339432, -603427, -942862, -1357743?\n\"Answer: -y**3 - 37708*y**2 - 2*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14445841.\nAnswer: 14445841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be (16\/(-56))\/(22\/(-14)). Let p = 4.96 + 0.04. What is the nearest to -1\/4 in -0.2, p, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1.6, -17271, -0.0238?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*x = 175*x + 9537 - 1443 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7 + -3. Let w = 0.62 - -4.38. What is the third biggest value in -1\/4, d, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lz when two letters picked without replacement from ezltznllhhlh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) -0.24 (b) -5\/6 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -8433*v + 126. Let k(u) = 527*u - 8. Give -4*i(r) - 63*k(r).\nAnswer: 531*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 124*q**2 - 248*q**2 + 1 + q + 123*q**2. Give j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -513*y - 9549 + 9549.\nAnswer: -513*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the third derivative of c**7\/168 - c**6\/4 - c**5\/24 + 15*c**4\/4 + 2*c**3 - 144*c**2. Let d(p) be the first derivative of t(p). Factor d(v).\nAnswer: 5*(v - 18)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, -0.25505, -17?\nAnswer: -0.25505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the third derivative of -s**8\/168 - s**7\/35 + 7*s**6\/60 + 7*s**5\/30 - 3*s**4\/2 + 8*s**3\/3 + 4*s**2 - 6*s. Factor p(o).\nAnswer: -2*(o - 1)**3*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -10115, -38472, -85071, -149912, -232995, -334320?\n\"Answer: -9121*p**2 - 994*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8.944561km in millimeters?\nAnswer: 8944561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 32*n - 39*n - 2.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 4*a + 40 = 0. Let g be (-44)\/a - 4\/10. Suppose 3*d + 8 = v + 4*d, 0 = -g*v + 4*d. Solve 0 = -v*y + 2 - 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 1 = -11. What is the derivative of -16 + u*c**4 + 11 - 5*c - 8*c**4 + 2*c wrt c?\nAnswer: -20*c**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oooooopooooooooooo. What is prob of picking 1 p and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 2 (c) 0.4 (d) -0.5 (e) -4 (f) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10 - -10. Let m = 570\/77 - 72\/11. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 1140*z - 1136*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**2\/o*o\/(o*(o\/(o**2\/o))\/o))**13*(o**(-1)\/o**(2\/3))**(12\/13) assuming o is positive.\nAnswer: o**(318\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - 15) + 3 - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 427146300 divided by -63\nAnswer: -6780100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20532597 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i. Let t be o(-2). Suppose 5*b + 3*z - 2 = t, -5*z = -5*b + 20. Suppose b*w - 6*w = -68. What is the remainder when 49 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from geeegggeee. What is prob of picking 2 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 168457 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the third derivative of 3*k**4\/8 + 7*k**3\/6 + 178*k**2 - 12*k + 1. Suppose i = 6*i + 65. Let m(t) = -18*t - 15. Calculate i*j(z) - 6*m(z).\nAnswer: -9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3 - -3064) + (10 - 12). Suppose 5*g = -s + n, -5*g - 3*s = -4*s - 3075. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 456\/80*490\/147\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**2 + 14*g + 37. Let k be x(16). Suppose 37 = -s + 41. Is (-1 + s\/2)*(k + 2366) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1368*u = -1366*u - 8, 8 = -4*q - 3*u - 8 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2333251826 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1006948913 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18, 39, 48, 39, 6?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5701.9990724 + -5702. Round q to 5 decimal places.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + 1 + -2 + 57 + -49\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j + 10. Let p be u(7). Suppose -5*i + 116 = s + 41, 4*s = -p*i + 45. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 4, -0.5, -0.491, -22.8?\nAnswer: -0.491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence epp when three letters picked without replacement from yapgaaeggepggayagp.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -3875113 at most -3875114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 15130884661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*p**3 + 6*p**3 + 0*p**3)*(51 + 0 - 136) to the form f + y*p**3 + x*p**2 + r*p and give y.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -72 + 74. Solve 0 = -2*w + 2*d - s, -5*w + 4*d - 14 = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33380.\nAnswer: 2, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 2161 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -2*p**3 - 39*p**2 - 150*p + 30. What is q(-14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + 42?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - w + 9. Find the first derivative of 0 - 3 - 2*k**3 + 4*k**3 + k**w wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -18*k**3 - 3*k**2 - 4*k - 12621 with respect to k.\nAnswer: -54*k**2 - 6*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 22374 and 30767?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*a - 51*a - 37*a - 9*a - 8*a.\nAnswer: -118*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11010111011001100111 + 100?\nAnswer: 11010111011001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 15 divided by -1059\nAnswer: -5\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -306716 - -486613. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.9 - 1.7. Let w = 5.8 + t. Let o = 7 - w. Which is the third smallest value? (a) -2\/5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 6 = -2*c, 17*c - 6 = -2*o + 16*c. Put 3, -1, o, 43 in decreasing order.\nAnswer: 43, 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -221*v. Suppose 0 = -34*w + 35*w - 3. Let f(y) = -9*y**2 + 10*y + 5. Let b(i) = -5*i**2 + 6*i + 3. Let q(d) = w*f(d) - 5*b(d). Give q(s(m)).\nAnswer: -97682*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 29*x - 71. Suppose -5*j = 4*r - 69, -7*r + 5*r = -3*j + 37. Let v be a(j). Calculate the greatest common divisor of 34 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-1*((-6)\/(-3))\/((-75)\/75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 825 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 88425, 88428, 88433, 88440?\n\"Answer: r**2 + 88424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12 + -6 + -10 - -5 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 9\/2 (c) 0.5 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -3355*q - 13739. Determine m(-4).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 + 3*g**2 + g. Let m(f) = -2*f**3 - f**2 + 2*f - 1. Let v be m(1). What is the least common multiple of o(v) and (7 - 5)\/((-1)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16 + -13. Let n be (-2 - -1 - 16) + -1. Let h be 2\/(-4) + n\/(-4). Which is the closest to -2? (a) h (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -2*k + 483 + 7*k**2 + 0*k + 2*k - 481. Let q(s) = 70*s**2 + 21. Calculate -21*d(n) + 2*q(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7409789 is divided by 673616.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-4))\/(4\/(-64)*22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 271195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1023435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - 4. Let t(y) = y**3 - 4*y**2 - 4*y - 1. Let m be t(5). Sort d, -3, m in decreasing order.\nAnswer: m, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 704 = 160*b + 1791 + 1313 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -220144 + -10103?\nAnswer: -230251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2091061993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -56 - -79. Calculate the common denominator of 7\/10 and (x\/(-10))\/(6\/15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-64)\/(-9)*(-3)\/(-8)*12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, -6, -63, 2\/7, 4, -1\/5013?\nAnswer: -1\/5013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4*(214 - -89518) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.28? (a) 4 (b) 8 (c) 6\/49 (d) 3 (e) 831 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 689281024.\nAnswer: 2, 336563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**5 + 3*j**5 - 3*j**5)*(174 - 47 - 22).\nAnswer: 210*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*q**3 + q**4 - 2*q**3 + (2 + 2*q**2 - 2)*(0*q**2 + 0*q**2 + 2*q**2) - 3*q**4 + 3*q**4 + 2*q**4 + (0 + 3 - 4)*(-89*q + 6*q**4 + 89*q).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*4*sqrt(825)*-2)\/(-6*(sqrt(44) + sqrt(5324) + (sqrt(5324) - (sqrt(5324) + sqrt(5324)*-5)) + sqrt(44))).\nAnswer: 5*sqrt(3)\/102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 121929426527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -1703643?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*w - 13894 + 1504. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 218, 2, 11, -1, -46.\nAnswer: -46, -3, -1, 2, 11, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -81, -157, -233, -309, -385?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirty-one fifths of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -44366, -44490, -44828, -45488, -46578, -48206, -50480?\n\"Answer: -18*n**3 + n**2 - n - 44348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -1\/6*x**4 - 1\/15*x**5 + 0 - 22\/105*x**7 + 2*x**2 + 1\/21*x**8 + 3\/10*x**6 + 0*x + 0*x**3. Factor d(f).\nAnswer: 4*f*(f - 1)**3*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 140 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*w = 12*w + 2*y - 62, 4*w + 5*y = 245. What is the derivative of -8*u + 8*u + 205*u**3 + w*u**3 + 124 wrt u?\nAnswer: 795*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -4*b - 3*v, -3*b - 5*v + 21 + 11 = 0. Let n = 7 + -5. Let k = 8 + n. What is the greatest common divisor of b and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 637466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 122 - 118. Let d = -16 + 49. Suppose -8*b + d = 3*b. Solve -l - 3*t = f*l + 35, 0 = b*t + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*q - w + 25, -4*q = -3*w + 11. Let v = -1.55 + -0.45. Let h = -133 - -397\/3. Which is the smallest value? (a) v (b) q (c) h (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 2*s**2 - 12*s - 21. What is the units digit of l(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 237, 458, 859, 1464, 2297, 3382, 4743?\n\"Answer: 4*f**3 + 66*f**2 - 5*f + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7634830 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 147285*c - 147287*c - 12 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 3*h. Let y(o) = -249*o. Determine t(y(q)).\nAnswer: -747*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -67\/15338 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 2 d, and 1 e when four letters picked without replacement from eeeqeqdd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 27175 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 1, o: 8, d: 6}. What is prob of picking 1 f, 1 d, and 2 o?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 52*u - 627 + 625 - 27*u in the form r + h*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5026 and 140?\nAnswer: 50260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 103301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3806 + 3925. What is the remainder when 391 is divided by m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 216 and 36?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -50452 divided by 12613?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -12. Let u = x + 5. Which is the third smallest value? (a) u (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 + 13.5. What is the biggest value in 2, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.09054 - 0.0905401806. Round j to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 6, s: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1389075 divided by -1.\nAnswer: -1389075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -4*c**3 - 24*c**2 + 85*c + 525. Give q(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1511 is divided by 1088?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -2*k. Let t(b) be the third derivative of 25*b**4\/6 + 74*b**2. What is v(t(p))?\nAnswer: -200*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u**(1\/3))**10)**(-20\/3))**33 assuming u is positive.\nAnswer: u**(-2200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 1173 divide 305309284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 41*k + 60*k + 0*k + 26*k - 64*k + 132 wrt k?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -26153161*b**2*y**2 + 214921*b*y + b - y**2 + 4*y wrt b?\nAnswer: -52306322*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/(-176)*35\/((-210)\/(-52)).\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t**3 - 204*t**2 - 2700*t - 2500 = 0. Calculate t.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 94*d**4 - 5*d**3 + 14*d**2 + 45.\nAnswer: 2256*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*p + 224 - 170 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1.52228916 rounded to 3 decimal places?\nAnswer: -1.522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2)\/((-3 - -1)\/2). Find the third derivative of w**2 - w**4 - 2*w**3 + c*w**3 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -8 + -3b?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 21 = -14 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 60 and 20249530.\nAnswer: 121497180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -88, -4, 0.043, -3, 1.3 in descending order.\nAnswer: 1.3, 0.043, -3, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 36, 281, 948, 2247, 4388, 7581, 12036, 17963?\n\"Answer: 35*y**3 + y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 20366714\/19 at most as big as 1071932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -7693381.8 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qel when three letters picked without replacement from {q: 1, u: 1, l: 1, e: 1, v: 4}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a + -19?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3*(-1)\/1*1. What is the remainder when 31 is divided by 0 - -3 - f - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(156) + -1*sqrt(156)*-1)\/(sqrt(44)\/sqrt(99)))\/(sqrt(75)*3 - 2*sqrt(192)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*35\/3*(-8)\/40.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m**4 + 184*m**3 + 3539*m**2 + 19004*m + 15648 = 0. What is m?\nAnswer: -163, -12, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum 3374 and -121.394.\nAnswer: 3252.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20038975.\nAnswer: 5, 11, 72869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**3 - 5*x**2 + 4*x - 4. Let o be m(-6). Suppose -9*k = -o*k - 96. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -76, 2, -1, 4, 73, 5 in descending order.\nAnswer: 73, 5, 4, 2, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/14 and 49\/39318.\nAnswer: 275226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 57 - 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 158796 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21 + -22. What is the units digit of -3 + v - 10\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -7*m + 29*m + 105 + 7. Let d be z(-5). Solve -c - 16 = 3*f, 3*c - d = 4*f + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2 - 71*c - 1204.\nAnswer: -(c + 28)*(c + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.28 - -4.98. What is the nearest to -2\/3 in 0.17, -0.5, n, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00606 to 4 dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1, -575268.\nAnswer: -575268, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/(-10) + 1022\/70. Let i be (10\/15 - b\/(-15)) + -2. Put i, 2\/7, -0.6 in decreasing order.\nAnswer: 2\/7, i, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -4*c**2 + 9*c. Let f(p) = p**2. Let i = 951 - 952. Calculate i*s(t) - 3*f(t).\nAnswer: t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*x - 63*x = -8. What is the third derivative of -38*c**2 + 47*c**6 - c**3 + 90*c**x + c**3 wrt c?\nAnswer: 5640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15076723 is divided by 14130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 9217827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 335671 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 18 = 470. Let b = -81 - p. Let d = -24 + b. Calculate the remainder when 66 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1410441 millennia in years?\nAnswer: 141.0441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, y: 2, c: 9}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {v: 1, f: 2, w: 1, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 298978*i*s + i + 701980*s with respect to i.\nAnswer: 298978*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 619 and 7.4.\nAnswer: 4580.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1 + (-1 - -3) + 2. Let k(p) = 5*p - 2*p - 3 - 2*p. What is the units digit of k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -3459*c - 20754. Calculate g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(605)*-2.\nAnswer: 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (728\/(-42) - -17)\/((-2)\/(-6)). Put -458, -3, c in ascending order.\nAnswer: -458, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 228321910 to the nearest one million.\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -22406.871 to the nearest one hundred.\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 235 = -5*x, -14*x + 12*x + 122 = -4*i. What is the remainder when x is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2*(3 + 2 + -1). Let w be 2\/q + (-265753)\/89388. Let t = w - -2\/2483. Find the common denominator of t and 97\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 110, 221, 332, 443?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.049 - -0.251. Sort f, -1\/3, -4, 0.4 in increasing order.\nAnswer: -4, -1\/3, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 + -13. Suppose 5*j - 92 = w*r - 222, -4*r + 3*j + 105 = 0. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 8) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 400.4 and 0.2?\nAnswer: 80.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes after 3:26 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 PM and 2:31 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 529 is divided by (-3302)\/(-38) - (-98)\/931.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -25*z**2 - 23*z + 154. Let y(x) = 4*x**2 + 4*x - 27. What is 6*c(s) + 34*y(s)?\nAnswer: -14*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2464*m**3 + m**2 + 305*m**3 - 2*m**2.\nAnswer: 2769*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -133 = -5*p - 18. Suppose -3*k = -5*w - 88, 5*k = k + w + 106. Let s = k - p. Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 23 = -3*s, -2*g + g = 4*s - 8. What is the second derivative of 54*y**4 + 30*y - y**5 - 16*y**5 - 54*y**g wrt y?\nAnswer: -340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -4*167\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.3 and 139.80001.\nAnswer: -181.740013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 752511 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -128 at most -130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12 + -7. Suppose 2286 = -p*r + 3*r. Is 27 a factor of (4\/6)\/((-6)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3519 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 3)*(-11 + 28 - 11)*(20936 - 352*t**2 - 20936) - t**2 + 1 - 1.\nAnswer: 4223*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 3*z + 5*a - 36, -a = 2*z - 54. Suppose 15 = -2*i - 0*c + 3*c, -z = 4*i - 2*c. What is the units digit of 2\/(-3)*1*i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + 661426?\nAnswer: 661425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -4*k - 7 + 9*k**2 - 1 - 8*k**2 + 0*k**2 - 5*k. What is y(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79 less than 793\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y + 2*y**2 - y**2 - 33 + 43. Calculate the remainder when 47 is divided by h(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((1*-2*sqrt(170) + 2*sqrt(170)*3)*6)\/((2*sqrt(90)*-3 + sqrt(90) + sqrt(90))\/((sqrt(144)\/sqrt(4))\/sqrt(4))).\nAnswer: -6*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*(-16)\/(960\/(-36))*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + (-6 - (1 + -17)) - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 + 9*p**2 - 4*p + 8. Let h be y(7). Let i = 299299\/9 - 33177. Let z = h - i. Sort 0.4, -0.3, z in ascending order.\nAnswer: z, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 704341.98 milliseconds?\nAnswer: 0.19565055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/10*-2*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of f**6\/3 + 669*f**5\/5 + 1142*f**3\/3 + 1210. Find the third derivative of n(b) wrt b.\nAnswer: 120*b**2 + 16056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-146)\/70 + 12\/(-5)*89\/(-267).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4.3 + -2.6. Which is the second smallest value? (a) 4 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o**(-5)\/o)*o)**(-4\/19)*o**(-4\/3)\/o*(o\/o**(-1\/6))\/o assuming o is positive.\nAnswer: o**(-439\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-3*sqrt(1539)*2 - (-3 + -1*(-2*sqrt(1539))**2 + sqrt(1539)).\nAnswer: 45*sqrt(19) + 6159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*o**2 + 0*o**2 + o**2 - 2*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooyd when four letters picked without replacement from {d: 5, p: 9, o: 5, y: 1}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + -16. What is the tens digit of 4\/3*(-105)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 209725764 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 8*r + 8. Suppose 3*f - 3 = -h + 4*f, h = -5*f + 3. Suppose -m - h*m = -24. What are the prime factors of y(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 246 (base 12) to base 3\nAnswer: 110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -129*s - 569 - 592 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 4, x - h - 21 = -24. Calculate the remainder when (2660\/(-21) + x)\/((-2)\/6) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7261675 divided by -5?\nAnswer: -1452335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1156 (b) 38 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hjnmjhnhhnmntn. Give prob of picking 1 j, 1 t, and 1 n.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jekjwwwbwiwiwee. Give prob of sequence jwkw.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 6*o**2 + 18*o. What is the lowest common multiple of l(2) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-69)\/138)\/((-13)\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 747 rounded to the nearest ten?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4929 + -7629. What is u rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 8*r**2 + 37*r - 14. Let o(f) = 3*f**2 + 12*f - 5. Suppose 115*s = 405 + 55. Calculate s*d(c) - 11*o(c).\nAnswer: -c**2 + 16*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 6, t: 4, x: 7}. What is prob of sequence ktkt?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.066678205 to 5 decimal places.\nAnswer: -0.06668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57 = 3*n - 21. Let k(x) = -10*x - 2. Let h(q) = -q. Let b(m) = n*h(m) + k(m). Let r(g) = g**2 - 13*g - 10. Let u be r(14). What is b(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -20*v**2. Let d = 3 - 1. Suppose 5*g - 2*g + 4*z = 38, 5*z = 4*g - 92. Let f(c) = 0 + c**d - g + 18. Give f(y(a)).\nAnswer: 400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 6 (b) 7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 102322 (base 4) to base 2\nAnswer: 10010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 679089280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 22395 - -11754. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -182 + 178. Let d(u) = -15*u - 45. Let v be d(j). Solve -3*y = -8*y + v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000939303 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45585 is divided by 997?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 158 a factor of 20086978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.0696 from 250.\nAnswer: 249.9304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*q**2 + 0*q**2 + 2*q**2 - 2*q + q - 2*q**4 to the form c + n*q**2 + l*q**3 + d*q + u*q**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-14 - (-77 - (-12 - -25))) + (-7 - -17)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 639861 is divided by 20638.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1378 is divided by 2\/(2\/233) + 1026\/(-513)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of 3 + 3\/2*h**2 + 0*h + 0*h**3 - 3\/4*h**4. Find the second derivative of t(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 11*r**2 + 4*r. Let u be d(-3). Suppose 4*s = a + u + 74, 0 = -3*s - 3*a + 117. Suppose -2*o - 2*o = -s. Solve j + 4*j = -o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 1 + 1)*(2 + 3 - 4) - 6 - 1 + 5)*(-3*g**2 + 4*g**2 - 2*g**2)*(-1 + 1 - g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 21*i**3 + 3*i**2 + 4*i. Let m = 6026 - 6022. Let l(z) = -42*z**3 - 7*z**2 - 9*z. Calculate m*l(w) + 9*h(w).\nAnswer: 21*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -4*x**2 - 16887*x + 169360. Calculate o(10).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 10, 0, -1, 11.\nAnswer: -1, 0, 2, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -250039 (base 11) in base 8?\nAnswer: -1404125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g**4\/9 - 2032*g**3\/9 + 512522*g**2\/9 + 344396*g\/3 = 0.\nAnswer: -2, 0, 481, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0037321386 to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6454393?\nAnswer: 11, 53, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 divided by -1905597.\nAnswer: 4\/635199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-412)\/2266 - (3\/1551)\/(4 - 490\/122).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2 + -1 + 2 + 19 + (4 - 9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -1.49675 to two dps.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 486*i - 7744 = 2462 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1012, -1536, -2060, -2584, -3108?\nAnswer: -3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 - 6*c**2 + 3. Let n be u(-6). Suppose n*x - 19 + 10 = 0. Suppose 2*v + 31*v - 63 = 12*v. Solve -21 = 5*a + 2*p, -x*p + 1 - 10 = v*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 11, 0.3, -833, -33.7?\nAnswer: -833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -10 - -1 - -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/5 + 48*s\/5 + 46\/5.\nAnswer: 2*(s + 1)*(s + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 27*x - 520 = 0. Let b be (x*13)\/(26\/169). What is b rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11646258.7481 - -11645673. Let w = -586 - q. What is w rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 212*p - 1. Let y(b) = -632*b + 3. What is 7*h(c) + 2*y(c)?\nAnswer: 220*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1348 + -2?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g**3 + g**3 + 2*g**3 + (2*g + 5*g - 6*g)*(-g**2 - 2*g**2 + 2*g**2))*(-2*g**2 - 10*g**2 - 7*g**2).\nAnswer: -19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8594 + 126?\nAnswer: 8720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**2 + 3*f**2 + 6 + 41 + 29*f + 9 - f**2. Let a be q(-2). Determine h, given that 0 + 28\/5*h + 24\/5*h**a - 4\/5*h**3 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -2 - (-32 + 27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-11)\/4)\/(2\/(-16)). Suppose -3*o - g = 4*s, -4*o - 10 = -9*o + 5*s. What is the tens digit of -10*(2 + -1 + o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*q**2 + 8*q**2 + 187056*q**3.\nAnswer: 187056*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -21485, -47435, -73385?\n\"Answer: -25950*j + 4465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -157*r + 442 = -131*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 23*x**2 + 5*x - 44. Let f(h) = -h**2 + 6*h + 11. Let n be f(7). What is the units digit of v(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04331 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 5*j + 81. Suppose -12*v + 243 = -9. Calculate the remainder when q(v) is divided by (329\/(-21))\/((-1)\/3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n. Let b(l) = 7882*l. Calculate r(b(a)).\nAnswer: -7882*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 7, 1.3, 40, -1, 75?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-12)\/18 + 24\/9. Solve a - 3 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-15))\/(((-3)\/6)\/((-25)\/(-20)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (7 - 11) + (-132)\/(-34). Let o = 0.2 + 0.3. Suppose 2*g - 2*x = -3*g - 4, -4*x + 8 = -3*g. Sort o, g, d in increasing order.\nAnswer: d, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 334629731 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.12 * -21219359.\nAnswer: 2546323.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -137.29 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d - 125 + 405 = 0. Let m(v) = v - 35. Let o be m(0). Let n = o - d. Solve u - 3*u = -8, n = -q - 3*u + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6 - 3. Let d = 13 - i. What is the remainder when 28 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 + 2*a + 2. Let f be d(-3). Suppose f*s = -0 + 10. Suppose 0*j - 3*j + 45 = 0. Solve -q - s*g + 2 = 5, 5*q = 5*g + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 2*u - 342. Calculate the remainder when u is divided by 51.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -8*w - 5. Let b(u) = u + 1. Let v(k) = 5*b(k) + o(k). Let i(p) = -6*p**2. What is v(i(f))?\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -13*b + 24. Let y be c(-16). Suppose -3*h = 5*j - 174, 3*h + h + 2*j = y. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -473 + 116. Let x = v - -363. Solve -3*l - l = -5*w + 30, 2*l = -2*w - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 11*u**2 + 5*u - 2. Let i be d(1). What is the tens digit of 119\/2 - 7\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhhhdhhdh. What is prob of picking 1 d and 1 h?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13163*l**2 - 14655*l wrt l?\nAnswer: -26326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 32*w**3 - w**2 - 12*w + 1196. Let v(b) = -94*b**3 + 3*b**2 + 34*b - 3588. Let r(q) = -6*v(q) - 17*x(q). Differentiate r(c) wrt c.\nAnswer: 60*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1544548416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 1087233 by 77.\nAnswer: 155319\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*h**2 + 7*h**2 + 5*h**2)*(0 + 1 - 6) + 1 + 2*h**2 - 1.\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 410378 and 136276.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w + 7. Let u be o(5). Let l(c) be the second derivative of -u*c - 1\/30*c**6 + 0 + 0*c**3 + 0*c**4 + 0*c**5 - c**2. Differentiate l(a) wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 455 - 405. Let d(k) = -2*k**2 - k + 3. Let z be d(3). Let s = i + z. Calculate the highest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/(-2))\/((-8)\/(-16)). Suppose -3*k = -3*p + 48, -20 - 4 = -a*p - 3*k. Let g = p + -9. Solve b = g*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3293186*a - 97253 wrt a?\nAnswer: -3293186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -14*x - 24. Let c(g) = 42*g + 72. Let o(i) = 8*b(i) + 3*c(i). Let h be o(-8). Let r = -84 - h. Is r not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -465780 divided by -93156\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/286 and -109\/3614.\nAnswer: 39754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/11? (a) 2\/118019 (b) -0.2 (c) -0.3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-72)\/576)\/((-135)\/(-120))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 8, u: 2, x: 3, j: 3}. What is prob of sequence uju?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 1, -4 in decreasing order.\nAnswer: 31, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 35671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of -78203120 and 130.\nAnswer: -78202990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + q + 2*q - 157 = 0, h + 5*q = 161. Let g = -90 + h. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12335451.\nAnswer: 3, 4111817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 25*i**2 + 609*i - 3690. What is k(6)?\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 2275\nAnswer: 1\/2275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14 - 3. Suppose 0 = -7*p + 6*p. Suppose -5*a + 9 + k = p. Solve -d - a = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.412655 months to decades.\nAnswer: 0.061772125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -43 - -43.1. What is the second smallest value in -5, l, 14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 145 divide 20735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 - 12*f**2 + f + 12. Let v be g(-12). Suppose -y + 5*r + 28 = v, 4*y - 13 = 5*r + 69. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -110 - -112. Suppose -90 = -8*j + q*j. Calculate the greatest common divisor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -21*v**2\/8 + 6*v.\nAnswer: -3*v*(7*v - 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, -28, -4, 1, 3, 0, 4 in decreasing order.\nAnswer: 4, 3, 1, 0, -4, -22, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 199621?\nAnswer: 199621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.5 - -2. Let m = j + 0.3. Let l = 0.199 - 0.099. Sort m, -5, l.\nAnswer: -5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*1*2\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1153460974.\nAnswer: 2, 59, 9775093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11310 - -11333. Solve -w*d = 134 - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000045199 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -17598, -70035, -157280, -279333, -436194?\n\"Answer: -17404*i**2 - 225*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5830, 23347, 52548, 93433?\nAnswer: 146002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + (-3)\/6)*10. Let a be (w - -2) + (-208)\/(-65). Is 3\/7 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -4*i - 17. Let t(n) = n**3 + 16*n**2 - 40*n - 80. Let k be t(-18). Calculate c(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 divided by -281611?\nAnswer: 9\/281611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*f - 47*f = -5*z - 3, 5*f = 2*z - 8. Which is the nearest to 1\/2? (a) -3 (b) 3\/2 (c) f (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 7*n + 1. Let w be q(3). Let d = w + -12. Factor 1 - 1 + d*i**2 + 8 - 24*i.\nAnswer: 2*(i - 2)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 2. Let f = 25 - 15. Let o be f\/(-5) + 32\/14. Sort q, -4, o in descending order.\nAnswer: q, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.7 + 0.3. Let h = y - 1. Let m = -2833 + 2834. Is h <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-221*c + 1909*c + 2294*c + 2168*c - 502*c)*(-c - 1 + 1) to i + a*c**2 + b*c and give a.\nAnswer: -5648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, -14, 39.7, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -i**5\/10 + 31*i**4\/10 + 103*i**3\/2 - 763*i**2\/2 - 11417*i\/5 + 56252\/5 = 0. What is i?\nAnswer: -14, -7, 4, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/18, -2\/7, -17, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.13473 and -0.08.\nAnswer: 0.0107784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:08 PM and 12:04 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 6*w - 27. What is the remainder when 144 is divided by k(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 5*p**3 + 257*p**2 - 1334*p - 2570. What is r(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 368912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 937 - 887. Calculate the highest common factor of k and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u = -66 - 683. Let o = -52 + u. Let q = -35 - -68. What is the greatest common factor of o and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2 + 0)*1\/3. Let v = -10\/77 - 1\/77. Let r = -13518.6 - -13519. Sort h, -4, v, r.\nAnswer: -4, v, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.091 * -9\nAnswer: 0.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -5*j. Let l(z) = -231*z**2 - 2*z. What is l(h(c))?\nAnswer: -5775*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*q**2 + 17*q - 16*q + 5*q**2 - 5*q**3 + (-1 - 4*q**2 + 1)*(-2*q - 2*q + 5*q).\nAnswer: -9*q**3 + 15*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 8*y - 2. Let h(t) = 8*t - 1. Give -5*h(c) + 4*u(c).\nAnswer: -8*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120*q + 8 = -124*q. Put 4, q, -10 in decreasing order.\nAnswer: 4, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -47 - (-36 + (14 - 39))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -7 + 6\/2 - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 970554 from 196455003.\nAnswer: 195484449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-6)\/4)\/(3\/(-6)). Is 5 a factor of 3\/(18\/5 - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of -90*l**3 - 24*l**2 - 5*l. Let c be g(-11). Suppose 4*o + r + 3*r - c = 0, 20 = -5*r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 160478257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2309659823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 31814 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 286 divided by -13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hihiiiciii. Give prob of picking 1 c, 2 i, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2150976 divided by -12.\nAnswer: 179248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -197*z = -183*z + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36836, -37798, -38760, -39716, -40660, -41586, -42488, -43360?\nAnswer: -44196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - 5*p**2 + 5*p - 6. Let s be z(4). Let o be (-1)\/(-8 - s) + 0. What is the smallest value in -0.5, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 815 + -436. Let s = -8528848 + 8528469.0671. Let m = s + a. Round m to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -45465857\/226 - -201176. Find the common denominator of 2\/(-1 - 3)*451\/22 and h.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*l + 117 - 187. Let d(z) be the third derivative of -4*z**2 + 3\/20*z**l + 0*z**4 + 0*z - 1\/120*z**6 + z**3 + 0. Give d(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8458045?\nAnswer: 5, 557, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 361 - 73. Let g(u) = 30*u - 762. Let x be g(26). Calculate the common denominator of ((-59)\/w)\/((3 + 3)\/x) and -75\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 902581697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j - 3 = z, 0 = -2*j - 3*z + 1003 - 996 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o**2 + 40*o - 36 = 0. Calculate o.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -53 - ((-240744)\/162)\/28.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 111, 217, 323, 429, 535, 641?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -20 - -689?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 9*d + 1. Let x(m) = 2*m. Calculate x(s(w)).\nAnswer: 18*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 r, 1 t, and 1 f when four letters picked without replacement from gfutrdf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*w = -5*m - 54*w - 22, -w - 4 = 2*m. Let n(g) be the third derivative of 1\/180*g**5 - 1\/18*g**3 + 23*g**m + 0 + 0*g + 0*g**4. Factor n(u).\nAnswer: (u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 2*y**2 + 29*y + 17. Let r be j(-14). Let o(v) be the first derivative of 4 + 10\/3*v**r + 0*v - 4*v**2. Find the second derivative of o(f) wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*l - 7*l + 7*l + 7*l + 52 + 10*l to u*l + m and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, p: 2, e: 4, s: 2}. Give prob of picking 1 l, 1 e, 1 s, and 1 p.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 2639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 + 43 + 17 - (-2 + 0 + -1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qvq when three letters picked without replacement from {q: 7, v: 6}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 + 0)\/((-3)\/(-64)). Let k = p + -446\/7. Suppose 6\/7*u**2 + 0 - k*u - 6\/7*u**3 + 2\/7*u**4 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3\/41 + 73\/123. What is the second smallest value in 5, w, -2\/55?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 83*l - 2*r - 245, -3*l + 1389*r - 1393*r + 17 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-1\/10)*s*s**(4\/15) assuming s is positive.\nAnswer: s**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (h - 2 + 0 - 2*h**2 + 0 + (-h - 2*h + 2*h)*(h + 1 - 1))*(14*h + 61*h + 4*h) in the form l*h**3 + d + y*h**2 + q*h and give q.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3179788 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5782746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -978*b**3 - 1614*b**3 - b**2 + 862*b**3 + 3*b**2.\nAnswer: -1730*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -3*d**3\/5 - 549822*d**2\/5 - 1319493*d - 6047646\/5 = 0. Calculate d.\nAnswer: -183262, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 16*n**2 - 20. Let x(y) = -3*y**2 + 3. Let o(a) = a**2 - 1. Let d(h) = -4*o(h) - x(h). Let g(t) = -20*d(t) - u(t). Let w(j) = -j. What is w(g(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -122221 (base 3) to base 15\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -2*a**2 + 6*a + 6. Let c be q(-5). What is the tens digit of (c\/4)\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 488026?\nAnswer: 2, 7, 11, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12 + 3201000?\nAnswer: 3201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - l - 28 = 0, 2*b - 21 = -4*l + 7. Suppose 0 = -2*k + b, 6*o - 22 = 2*o - 2*k. Sort -3, 26, o in descending order.\nAnswer: 26, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 895050 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 27*l - 2. Let k be z(-2). Sort k, 5, -2.\nAnswer: k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 8602530*p**4 - p**3 + 5778*p**2 + 107 wrt p.\nAnswer: 206460720*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3136)\/168)\/7*15\/(-40)*34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -111000110010001000 (base 2) to base 3.\nAnswer: -102211001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -172 (b) -0.23 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the second derivative of -2*t**5\/5 - t**3\/6 + 4*t**2 + 12*t - 4. Differentiate c(j) wrt j.\nAnswer: -24*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 5 (c) -7 (d) 4 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -56074 divided by 1.\nAnswer: -56074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -5083.177 rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-11)*c**(-10\/9))\/((c*c**20\/c)\/c*c*c*c\/(c*c*c*c*c**(3\/7)*c*c*c)))**41 assuming c is positive.\nAnswer: c**(-68921\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k\/k**(-2\/7))\/(k*k*k**(2\/19)\/k))**(-19) assuming k is positive.\nAnswer: k**(-290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is acc + -c?\nAnswer: ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -43. Factor 2 - t*b**2 + 157*b**2 - 50*b + 3.\nAnswer: 5*(4*b - 1)*(6*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 4, l: 6}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -28ca5 (base 15) to base 4\nAnswer: -200000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(162) - -1*sqrt(162)))**2 + -2.\nAnswer: 16198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 270721 or 270706?\nAnswer: 270721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 185525.01s in minutes?\nAnswer: 3092.0835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence coh when three letters picked without replacement from coohhohohchh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3360\/3024 + 70\/18. Let a(f) = -2*f + 2. Let v(l) = -3*l + 1. Calculate z*v(x) - 6*a(x).\nAnswer: -3*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -499 - -496. What is the nearest to 19 in -1, 0.6, j?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -25729 at least -25726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 24\/65, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 39358\/41 + -960. Let h be ((-2)\/1)\/(7*10\/(-35)). Is h at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*c = -13*c + 48. Suppose 2*k + 2*j = c, 5*j - 28 = -3*k - 0*k. Let o(m) = -21*m - 2. Let f be o(-2). Calculate the highest common factor of f and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 12*i**2 + 126*i + 66. Calculate v(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2170 is divided by 1577.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (30 + 96 + 31)*(0 + 3 - 2)*(-9*k**4 + 185*k - 1 - 185*k) in the form s*k + u*k**3 + b*k**4 + q*k**2 + w and give b.\nAnswer: -1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that f**3 + 141*f**2 + 410*f - 552 = 0.\nAnswer: -138, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 5 = -r + 3, o = -3*r - 6. Let b be (o - 3)*-1 - 4. Solve -b*p + 3*p + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-13) + 72\/39. Let y = -0.026348 - 0.973652. Sort n, 10\/13, 0.5, y.\nAnswer: y, 0.5, 10\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 103, 174, 245, 316, 387, 458?\n\"Answer: 71*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -7 - -2 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -6*q + q + 1 - 5*q. Suppose -6 = 8*u - 6*u. Calculate the remainder when w(u) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of -x**5\/4 - 5*x**4\/4 - 5*x**3\/4 + 8. Factor g(v).\nAnswer: -5*v**2*(v + 1)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 24 - -5b6cd7?\nAnswer: 5b6d1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of s**5\/30 + s**4\/12 - 2*s**3\/3 - 11*s**2. Factor v(b).\nAnswer: 2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -407 - -416. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-6))\/(14\/(-252)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.45 + 0.03. Let d = 0.65 + h. Let n = d - -0.04. What is n rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*x + v - 2*v, -12 = -4*x + 2*v. Is (x\/(-4))\/(1\/(-70)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or 251\/33978?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -161655960 divided by -189960.\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 68 a factor of 8479056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**3 - v**2 - v + 1. Let s(i) = 4*i**3 + 13*i**2 + 5*i - 7. Give -6*l(o) - s(o).\nAnswer: 2*o**3 - 7*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*r - 13 - 2475*r**4 + 1785*r**4 + 4*r wrt r.\nAnswer: -2760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1608242.\nAnswer: 2, 37, 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (106\/265)\/(14\/(-5)). What is the closest to -0.1 in 1, 0.6, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 129923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2822 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-4) - ((-6993)\/74)\/(-63)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(120)\/(-1*sqrt(8)) - sqrt(15))\/sqrt(3).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*a - 35*a = -1694. Calculate the greatest common factor of 33 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (42\/(-54))\/((-25)\/675)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 9. Which is the third biggest value? (a) q (b) 6\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + 6. Suppose -k = -n + 15, -2*k + 7*n - 11*n = 0. What are the prime factors of 8\/k*b*-35?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**3 + 160*s**2 - 2020*s + 3360.\nAnswer: 5*(s - 8)*(s - 2)*(s + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((2*sqrt(132) + sqrt(132))\/sqrt(12) - (sqrt(99)*1)**2).\nAnswer: -96 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -4.89 times -8\nAnswer: 39.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -145 = -7*i + 72. Is i less than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-22)\/42 + -7*(-30)\/2205. Let x = 0.52 - 0.22. Sort -2\/5, x, 3, q in decreasing order.\nAnswer: 3, x, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -12*o - 41 - 9*o**2 + 3*o**3 - 2*o**3 + 47. Let z be s(10). Let d = z - -40. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 139007 (base 10) to base 11.\nAnswer: 95490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(19) + -1 - (sqrt(114) - sqrt(114)*2)\/sqrt(6) - (3 + sqrt(171) + 1 + sqrt(171) + 0))**2 + 3.\nAnswer: 16*sqrt(19) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4864*g**2 - 4419.\nAnswer: 9728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*v = 147 - 835 + 233 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 273645 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*x - 99899 = -300914. What are the prime factors of x?\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -25 + (1571448\/61254 - (-12)\/(-18)).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyylylyllyyyllllyly. What is prob of sequence lll?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 282 - 281.99999873. Round s to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -0.5, -38, 5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -88 - -46. Let x = -16 - g. Let w = x - 22. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25586 and 951334.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -3*k. Let l be d(-1). Let j = 11 - l. Solve 3*z = -z - j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14454689, 14454690, 14454691?\nAnswer: 14454692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 7*c - 4. Let m(p) = 6*p. Let y be m(c). Let f(t) = t**3 - 5*t**2 - 4*t - 3. List the prime factors of f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*t**5 + 5951*t**4\/4 + 13262*t**3 + 104053*t**2\/2 + 75740*t - 1225\/4 = 0 for t.\nAnswer: -7, -5, 1\/248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11664 and 26799.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2144059.\nAnswer: 677, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 51 + -51.00000355. What is h rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -30853*n**3 - 766695 wrt n?\nAnswer: -92559*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 17 - 35. Sort -3, 4, f in decreasing order.\nAnswer: 4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 465456 is divided by 474?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3065\/62 - -99\/2. Let l = -1945.2 - -1945. What is the nearest to -1 in u, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -733.7 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13) + (sqrt(65)\/sqrt(5) + 4)**2 - (sqrt(13) + 4 + 0) - (sqrt(26)\/(sqrt(4)\/sqrt(8))*-2)**2.\nAnswer: -183 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7.968 - 7.9. Let f = -0.0680088 + w. What is f rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -193, 5, 43963, 4 in increasing order.\nAnswer: -193, 4, 5, 43963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be -40*(4 - 80\/25). Let o = -12 - b. Calculate the smallest common multiple of o and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1868, -2027, -2200, -2381, -2564?\n\"Answer: q**3 - 13*q**2 - 127*q - 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 20 + -9. Let l(v) = -4 - 68*v - 6*v**2 + k - v**3 + 71*v. Suppose -2*q + 8 = 5*j, -4*j = -2*q - 28 - 0. What is l(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1251 = -331*m + 544*m - 352*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 2*f. Suppose 0*o + 4*o = 12. Let y(g) be the first derivative of 0*g**2 + 0*g - 1 - 4\/3*g**o. Give y(w(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1519 and 98611.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r**2 - 543165*r + 271605*r + 271571*r.\nAnswer: -2*r**2 + 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q**2 + 210*q + 20683. What is g(-73)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -3*a. Let d(n) = -2*n. Let o(m) = 5*d(m) - 3*t(m). Let z(s) = 2 + 3 - 6. Give o(h) - z(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.11, -5, -16.11, 40?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3 + 1)*(2\/90)\/((-4)\/6). Which is smaller: -0.0412 or r?\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 304251 and 21978?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-38)\/8 - (0 + 3)\/12. Let i(o) = o**2 + 8*o + 27. Let g = -6 - -8. Calculate the least common multiple of g and i(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 11210 (base 3) to base 4\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + ((-10)\/(-20) - (-17)\/(-5)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*k + 17*k + 4*k - 18*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**21)**(-9\/4) assuming y is positive.\nAnswer: y**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2281934315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 155 = 3*b + 2*b. Let n = -9 - 1. Let p = 21 + n. What is the remainder when b is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**3 + 4*b**2 + 504*b + 7149. Calculate c(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, -710, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 476512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1059 - 1063. Let z(g) = -g**3 - 7*g**2 - 13*g - 3. Let r be z(q). Find d, given that -1\/4*d + 1\/4*d**3 + r - d**2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -10. Let n = 6 - c. Is n at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -5*d + 894 + 1529, -5*d = 2*o - 2429. What are the prime factors of d?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 108 - 106. Suppose 2*k - 4*t = -954, 0 = f*k - 0*k + 3*t + 961. Round k to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -132750.3 to the nearest 1000.\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3609115 and 3160?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 256606806*f**2 + 324359868.\nAnswer: 513213612*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1061 - -1063. Put s, -10, 6\/7 in descending order.\nAnswer: s, 6\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -27\/721?\nAnswer: -27\/721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 564 minutes after 9:48 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z**3 - 15*z**2 - 7*z - 3. Is b(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124050 is divided by 41294?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 13450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -214, -450, -686, -922, -1158?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v**2\/5 - 24652*v\/5 + 24648\/5 = 0.\nAnswer: 1, 6162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 416 (base 9) to base 14.\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*i + 4 = 4*i + 2*x, 2*i + 4*x = -22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l + 18. Is a(-16) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 45876413*w**3 + 42090246 wrt w.\nAnswer: 137629239*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 479 + -294. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of -7*p**4\/4 - 6*p + 9. Find the first derivative of v(n) wrt n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6.93 - -0.07. Let w = u - 24. Let l = -16.5 - w. Which is the third biggest value? (a) l (b) 2\/17 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.07? (a) 3\/7 (b) 4 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -749 + 749 + 85*g in the form l*g + x and give l.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54833?\nAnswer: 54833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1698.499 + -1696. Let g = -0.499 + c. Let l = -1.7 - -2. What is the nearest to l in 0.2, -2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jyy when three letters picked without replacement from {j: 3, y: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 533418.9 milligrams to kilograms.\nAnswer: 0.5334189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 + 98 + 3 + (-3 - 0). Let f = 126 - h. Suppose -f*k - 660 = -30*k. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 3*d = -7*d, 0 = 5*n - d - 23. What is the third derivative of 2*z**n + 2 - 2*z**2 - 3 + 1 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -136*j**2*n*y**2 + 5*j**2*n + 2*j*n*y + 12756*n*y**2 - 584*n*y - 126*y wrt y.\nAnswer: -272*j**2*n + 25512*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 135 + -86. Let m be 2\/14 + 2890993\/o. Round m to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -157152, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (28 - 0) + -556 + 546\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19 + -19. What is the closest to 3 in 0.4, v, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 4*b + 216 = 244, 2*o - 24 = -3*b. Let k(m) = -m + 19. Let d(i) = 9. Give o*d(j) - 4*k(j).\nAnswer: 4*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 555750?\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 2*r = -58, 28*f + 71 = 19*r - 16*r + 426 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6\/4541 - -404365\/163476. Find the common denominator of ((-105)\/70)\/(270\/(-654)) and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that -4*z**2\/7 + 64*z\/7 - 60\/7 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1615*w**2 - 467 + 610 + 365 + 191 + 612 wrt w.\nAnswer: -3230*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, t: 1, u: 2, y: 3, e: 11}. What is prob of sequence yyy?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 - 6*k**2 + 13*k - 9. Let u be j(-8). What is the highest common divisor of 48 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -84 + 88. Suppose v*h = -i - 208 + 1207, -3*i - 987 = -4*h. What are the prime factors of h?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*c = 74*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3520 = q - k, 39*k - 3550 = -q + 34*k. What are the prime factors of q?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 3*l**3 - 6*l**2 + 4*l - 3. Let w be u(2). Differentiate 42*o**2 - 12*o**4 - w*o**4 + 36 - 42*o**2 wrt o.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - 7*b**4 + 3*b**4 - 3 + (-11*b**4 - 11*b**4 + 9*b**3 + 10*b**4)*(1 - 6 + 4).\nAnswer: 8*b**4 - 9*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2597587*b*t**2 - 2*b + 917157*t wrt t.\nAnswer: -5195174*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 146079992 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4545322ng to kilograms.\nAnswer: 0.0000000000004545322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 97*r = -56*r + 149*r - j - 25, 20 = 2*r - 6*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -36*s + 31*s + 15. What is the lowest common multiple of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 47, 1, 62, -3, 4 in decreasing order.\nAnswer: 62, 47, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -307 + -105. Let w = -342 - g. Is 71 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the second derivative of 61*h**4\/12 + 6*h**2 - 29*h. Let p be 20\/10*(-3)\/(12\/(-10)). Is c(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24800 + -16933. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -390 divided by 3\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 964366 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hib when three letters picked without replacement from bmbrrmrrrhrimr?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (60\/15)\/(4\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4.4 + 1.4. Which is greater: -7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 20417 - -17735?\nAnswer: 40354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 17*g**2 - 33*g + 2. Let q be z(-12). Is 6\/14 - (-2 - q\/7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15798)\/282 + (-51 - -107).\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -275 + 275. Suppose 5*o - 10*o + 5*j + 45 = m, o = 5*j + 25. Calculate the greatest common divisor of 430 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*i + 34 = 6. Let w = 14479703 - 4187373. Suppose w = -i*v + 92330. Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -179 - -180. What is the lowest common multiple of n and 12\/(-9)*6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -160, -37.8443 in increasing order.\nAnswer: -160, -37.8443, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*t - 30*t + 18 = -23*t. Solve -k - t = -3*a, 25 = 5*a + 8*k - 13*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-2\/3)*u)**(5\/9)*(u\/((u\/u**(-1\/5))\/u))**(5\/4))**(-29) assuming u is positive.\nAnswer: u**(-928\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94603 is divided by 1931.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 855 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 4*l**2 - 3*l - 3. Let g(w) = -w**2 + 16*w + 1535. Let k be g(-32). Give d(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -305 - -151?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-8 + 2 + 5)*(0*q + 0*q - q**2) in the form n + i*q + c*q**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ecyemeykcmen.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**4\/5 - 6*b**3\/5 - 3*b**2\/5.\nAnswer: -3*b**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of -y**3\/18 - y**2\/3 - 10. Determine p, given that m(p) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17\/5303 and 2\/47727.\nAnswer: 47727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (7 + 1 - 4) + 3. Factor -11*g - 27 - 2*g**2 - g**2 - s*g.\nAnswer: -3*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 7 + -1 + 8\/4. Suppose n*k + 19 = -13. Let q be 212\/26 - 1*k\/(-26). Solve 0 = -5*x + q + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -17, -2, 1, -94, 0, 4, 5 in ascending order.\nAnswer: -94, -17, -2, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be -14 + (2 - 3 - -2). Let l = a - -64. List the prime factors of (52\/12 - 4)*l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 3*q + 130 + 75, 0 = 6*a - 4*q - 308. Which is bigger: a or 44?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46434 + 15274 = 4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.01 greater than or equal to -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*l + 4*l. Suppose -6 = 2*m - 4*o, 2*m = -l*m - 5*o + 30. Solve 4 = n - y + 2, n - m*y - 14 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 44096 and 10.\nAnswer: 220480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.24, 0.1, 0.0712, 8\/5, 0.4?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -5*a**3 - a**2 + a - 1. Let x be g(1). Let i = 4 - 37\/10. What is the common denominator of x\/((-12)\/(-57)*1) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/27*(-10)\/(-25).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (-12 - -5 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5717987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1 or -18646?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 53*c**2 + 74*c - 55. Calculate the lowest common multiple of 126 and h(4).\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 4 + -4 - (-7 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 0 = 2, 510 = 2*k - 5*p. Round k to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 472*s + 99 - 895 = 148 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1254 + 2509 - 73*o**2 - 1251.\nAnswer: -73*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-6)\/(-10) + (-4218)\/30. Let j be 4\/(-16) + (-1007)\/h. Let m = -50\/7 + j. Is m at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -258*h - 253. Let p(c) = -62*c. Calculate p(d(n)).\nAnswer: 15996*n + 15686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the first derivative of -2*x**3\/3 - 1. Let f = -3 + 3. Let v(w) = -2*w + f*w + w. What is p(v(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 9, u: 5}. Give prob of picking 2 u and 2 p.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 5 - 2)*(-2 + 2 + 1)*(177*r + 169*r - 2478*r - 574*r - 68*r).\nAnswer: -13870*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16\/7439 or -1?\nAnswer: -16\/7439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-12)\/(-4) + -3)\/2. Let g(q) = 3. Let f(c) = -c - 1. Let k(o) = -2*f(o) - g(o). Let j be k(y). Is -1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101 (base 6) to base 15.\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 213, 1\/5, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 17 + -10 + 13 + -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((102 - 2) + -2)\/2. Suppose 4*c - 5*x - 25 = 0, -2*c - 15 = x + 2*x. Suppose 3*q - 6 = 6, c = -3*y + 2*q + k. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 0*u + 9 + 0*u - u. Let h be v(4). Let 0*n**2 + 0*n - 2\/7*n**h + 0*n**4 + 0 + 2\/7*n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0955 + 0.11956.\nAnswer: 0.21506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 155*q**2 + 4270*q. Let s(k) = -7*k**2 - 194*k. Let p(v) = -2*f(v) - 45*s(v). Factor p(m).\nAnswer: 5*m*(m + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -5*32\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-161)\/(-7)*-1)\/((3\/(-1))\/3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-25)\/(-10)*(-1 - -3). Let s(n) = 11*n**2 + 2*n - 11. Let p(g) = -7*g**2 - g + 7. What is z*s(t) + 8*p(t)?\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/(231\/44))\/((-4)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 4*f - 163 = 7, -c + 182 = f. List the prime factors of c.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 192024687.\nAnswer: 3, 64008229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, -0.3, -0.1, 1, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 496182.8t?\nAnswer: 496182800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 201.79968 + -202.6. Let m = u - -0.8. What is m rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 3*f = 11448 - 11467, -5*f = 4*t - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 38\/60 + (-1)\/2. Let l be (-2)\/(-10) - 0\/4. Let f = -0.045 + 0.145. What is the nearest to f in j, l, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1841384 and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 AM and 8:33 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 4\/3, -2\/7, 8, 388?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -41*f - 113*f**4 + 316*f**4 - 108*f**4 + 13*f**2 - 97*f**4 + f**3 in the form g*f**2 + t*f**3 + k + i*f + m*f**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1\/3985 + 27868\/107595. Let m = -2\/27 - n. Suppose -s - 3*u + 13 = 0, -5*s - 4*u + 29 = -u. Which is the nearest to m? (a) -2\/13 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(1\/2))**(-4\/5)\/(d\/d**(-2))**(-1\/20))**(6\/7))**(3\/31) assuming d is positive.\nAnswer: d**(-9\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 0.1 (b) -2\/5 (c) 0.0374\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.0557 - 0.055422. What is p rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**3 + 12*c**2 + 14*c + 5. Calculate the remainder when 31 is divided by k(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00238 rounded to five decimal places?\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 186872 plus 0?\nAnswer: 186872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 676 and 44866289?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26 + -16. Suppose 8 = 3*s - k. Let j(w) = w**3 - 5*w**2 - 5*w. Is 3 a factor of j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1196)\/(-460))\/((12\/(-315))\/(-2)). What is the second smallest value in -1, -2, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -412 - -829\/2. Put u, 4, -4\/25, -0.3 in ascending order.\nAnswer: -0.3, -4\/25, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 7, i: 1, h: 6, l: 3}. What is prob of sequence li?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18642298?\nAnswer: 2, 83, 112303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 4*w**3 - 356*w**2 + 8428*w - 22188 = 0.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/(-3))\/(3*(26\/2)\/13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.8 + 0.81. Let u = f + 1.99. Let z = -34 + 38. Which is the third smallest value? (a) z (b) u (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p - 2*p = 4*s - 864, 3*p + 214 = s. Suppose 5*t = -z + 4*z - 1125, t + z = -s. Let g = t + 383. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 5*r + r = 78, -4*a + 4*r = -363 + 279 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*6*(-2*sqrt(170))\/sqrt(10).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -f**3\/6 + 1402348*f**2\/3 - 7479173*f\/2 + 7011720 = 0.\nAnswer: 3, 5, 2804688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/9 - 7165340*r\/9 + 16719094\/3.\nAnswer: 2*(r - 3582663)*(r - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1494164 and 2064?\nAnswer: 17929968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -322246 (base 8) to base 3.\nAnswer: -12110201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Calculate 23 divided by 8.\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 + 29*b**2 + 27*b - 26. Let g be m(-28). Let h(c) = 2*c + 4 - 5 - 10*c + g*c + c**2. Let q = -10 + 14. Determine h(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -820 divided by 205?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -272*z + 272*z - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58114499*y + 1374 - 2749 + 58114502*y + 1375.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of 29*b**4\/4 + 3*b**2 - 888. Let a(h) = 57*h**3 + 11*h. Give -6*a(r) + 11*z(r).\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 - 16*t**2 + 16*t - 14. Let j be b(-17). Let m(o) = 11*o - 2. Let x(y) = -10*y + 2. Calculate j*m(k) + 4*x(k).\nAnswer: -7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and -60 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 356987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2\/9, -158865, 1, 4\/5, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 153998 is divided by 457.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and 0.239?\nAnswer: -0.0239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.02 in -21, 4\/21, -20\/9, 4?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = -4*t - 24, 7*z + 25 - 125 = -11*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 22942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 729, 2933, 6609, 11757, 18377, 26469?\n\"Answer: 736*w**2 - 4*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 134*p**2 + 120*p - 96. What is the thousands digit of d(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 9\/(-21) + 1\/(-14). Let x = 196 - 201. Let d = -0.2 - -0.2. What is the third smallest value in d, m, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from emooqmeee. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 243 and 87.\nAnswer: 7047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -4*o + 3. Let l = -97 + 65. Let z = l + 28. What is the units digit of c(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 442947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 4*d = 100. Let g = -8 + d. Suppose 12 = 3*t, 0*o + g = 3*o - t. Solve -4*y - r = o, 4*y - 5*r = -10 - 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes after 6:35 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be 12\/14 - 1\/(-7). What is the tens digit of -6 - -9 - (h - 174)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -486*j + 1028 + 990*j - 502*j - 1026*j**2 wrt j?\nAnswer: -2052*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -4, 83 in decreasing order.\nAnswer: 83, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 3*g + u, -2*g = -5*u + 4 - 12. Let z = -9 - g. Let y be 1 - z\/(-42)*6. Which is the closest to 2\/3? (a) 4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50269237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 7315732273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 3*s + 5*q = -21, 4*s + 4*q = 28. Let h(p) = -p**3 + 7*p**2 + 8*p - 7. Determine h(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 - 3*y**2 + 4. Suppose -6 = d + d. Let f be u(d). Let q = 3 - 3. Solve q*m - m = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = 3*m - m - 40, 2*m - 3*g = 54. Suppose 4*n = -12, c - 45 = 4*c - n. Let q be 54\/m*c\/(-3). What is the highest common divisor of q and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 e, and 2 l when four letters picked without replacement from lmetltleete.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 234 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 53 = -315. Suppose 0*m = 6*m - 576. Let y = m - v. What is the highest common divisor of y and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l + l - 13. Let f = -3 - l. Suppose 3*g + 2*p - 5*p = 33, 41 = 4*g - 5*p. Calculate the smallest common multiple of f and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 226 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**2 - 283743480*v - 4025518122125520.\nAnswer: -5*(v + 28374348)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1576 and 14085500?\nAnswer: 28171000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-195 - -190)\/((-10)\/5422)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -0.083, -3\/2 in increasing order.\nAnswer: -3, -3\/2, -0.083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -281*a - 29*a**3 - 35*a**3 + 616*a - 312*a.\nAnswer: -64*a**3 + 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 14685693551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3. Let y(v) = 3 - 5 - v + 3. Let b(t) = -t**3 - 2 - t**3 - 12*t**2 - 13*t + 3*t**3. Let p be b(13). Give p*y(q) - r(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5 + 4*f**4 - 9 - 2 - 10 with respect to f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 6 = -2. Let y(l) = -l - 8. Let k be y(t). Let z = 2\/5 - k. What is the nearest to z in -4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 36*w**3 - 2*w**2 + 14*w + 12. Let u be n(-11). Round u to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 9. Let k = y - 6. Let l = k + -3. Is 0 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 AM and 8:21 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 83 divided by -4\nAnswer: -83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 5*s = 10, 102*y + 2*s = 105*y - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, -1362329, -4, 4\/3 in descending order.\nAnswer: 4, 4\/3, -2, -4, -1362329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + (11 - 3 - 1247\/87).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z - 1. Let n be 1\/(-7) + 1\/7. Suppose n*u = u - 4*g + 20, -3*g = 5*u - 15. Suppose -43*q + 42*q + 6 = u. Let p(w) = -3*w + 6. Give q*f(a) + p(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12*o**3*r**3 + o**3 - 8*o**2*r**4 - 17*o**2*r wrt r.\nAnswer: -72*o**3*r - 96*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -x - x**4 + 1 + 4054909*x**3 + x**5 - 4055468*x**3 + 450*x**2 + x wrt x?\nAnswer: 60*x**2 - 24*x - 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 143.3 + -3.3. Let h = 6375709.99772 - 6375570. Let b = h - t. Round b to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -131*i**2 - 233*i**2 - 180*i**2 + 91*i**2 - 60*i**2 as o*i**2 + s*i + q and give o.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of -k**5\/6 + 89*k**2. Let u(j) = 4*j**2. Calculate q(u(g)).\nAnswer: -160*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 47.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**2 - 18 - 81 - 14 - 10. Let m be a(0). Let v = 236 + m. Calculate the remainder when v is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 3*i - 86. Let z be p(30). Solve 0 = -3*r - z*a, 3*r + 22 = 7*r - 2*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 16*w**2 - 5*w. Let u(s) = -6*s**2 - 4*s**2 + 7*s**2 + s. Let r(o) = -2*d(o) - 11*u(o). What is the second derivative of r(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -484, -638, -708, -652, -428, 6?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 84 and 132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 10*v**3 + v**2 + 5*v**3 + 2*v**3)*(11*v - 41*v + 4*v).\nAnswer: 78*v**4 - 26*v**3 + 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 82*r + 1. Let b(d) = 6*d**2 + 346*d. Calculate b(h(a)).\nAnswer: 40344*a**2 + 29356*a + 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/o**(2\/25)*o)\/(o*o*o**(-16\/5)) assuming o is positive.\nAnswer: o**(103\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 568703 divided by -568703.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -11367, -22956, -34545?\n\"Answer: -11589*i + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 361 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1 + (7 - (-196)\/30). Let i = w - 66\/5. Solve 0 - 8\/3*n + i*n**2 + 4\/3*n**3 = 0 for n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 104*c = 80*c - 72 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = -5*k + 2585495, 2288111 = 4*k - 4*q + 219707. Round k to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 0 = 6. Let u be b\/2 + (-82 - 1). Let y = u - -117. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-19)\/7 + (-6)\/21. Let a be (-37 - 2)\/z - -2. Suppose 5*g - 70 = -a. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -133322231132 (base 4) to base 12\nAnswer: -2975b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 19 + -22 + -71 + 35\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 820237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 3*k + 5, -4*p - 5*k + 12 = -11. Let g be -8*3\/(-3) - p. Suppose 2*d + g = -4. Put -0.4, d, -2\/11 in ascending order.\nAnswer: d, -0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - (1 + (-5 - (-10 - -14)))) + (20 - -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 194 divide 13968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 54 + -54. Differentiate m*t**3 + 25 + 0*t**3 - 16 - 11*t**4 wrt t.\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -4048542 divided by 1349514\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-8) + 1932\/(-224)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**3 - 3*j**2 + 128*j + 942. What is q(-7)?\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*w = 5*b - 21*w + 7, 5*b - 41 = -2*w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, m: 3, t: 15}. Give prob of sequence tmtm.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*d = -81*d. Suppose d = -8*m - 5*m + 2626. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/(-18)*3*(-27)\/6. Let r(x) = 5*x + 5. Let j(p) = -1. Let f(t) = -j(t) + r(t). Calculate f(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -7*k + 15. Let f(v) = 10*v - 22. Let r(j) = -5*f(j) - 7*p(j). Let d be r(0). Solve -4*m = 4*w + 8, 3*w = -d*m + w + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8*t**3 - 9*t**2 - 22*t + 59359?\nAnswer: 24*t**2 - 18*t - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -25*k - 4. Let b(m) = -8*m - 1. Let a(s) = -14*b(s) + 4*i(s). Calculate the remainder when a(7) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*l + 313 = -18*l. Let h = -182 + l. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -39*w - 4. Is h(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80*d = -109*d. Suppose -3094 = -3*x + 2*p, d = -5*x - 8*p + 6*p + 5162. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the third derivative of h**8\/2240 - h**5\/24 + h**4\/12 - 13*h**2. Let x(o) be the second derivative of p(o). Differentiate x(f) with respect to f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -470, -472, -474, -476, -478, -480?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 - -30. Suppose k = 8*y - 2. Suppose 5*m = y*m + 1869. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y = 15 - 39. Calculate the remainder when 44 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*o - 24 = 91*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41152*s + 498401*s + 122886*s - 31409*s.\nAnswer: 631030*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 24 + 28. Let u = a + 33. Let m = 19 - 12. What is the highest common divisor of m and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/785 or 30\/49?\nAnswer: 4\/785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 106 + -106.007. What is the second biggest value in c, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4338 - -1742. Let g = 985 - a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16918*z**2 + 4 - 16910*z**2 + 33826*z**2 + 299*z to k*z**2 + d + a*z and give a.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -100.3 - -0.1.\nAnswer: -100.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3551?\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0148421936 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1*3 + -3 + 11 - 1. Let t be 2 - (-7)\/c - 1\/(-4). Solve -2*y - 4*p = -y + 6, -t*y + 4*p - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**3 + 3*j - 2. Let d be g(0). Let i(m) = 0*m**2 + m**2 + 0*m**2 - 2. What is the units digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jzj when three letters picked without replacement from zzzzjzjzjzzzzzjj?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 3*a + 5. Let j(w) = -4*w - 1. Let k(s) = -13*s - 4. Let r(c) = 3*j(c) - k(c). Calculate 2*n(o) - 9*r(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 780, 1520, 2260, 3000?\n\"Answer: 740*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 2*k**2 - 3*k + 4. Suppose -h = -4*o + 34, -h + 6*h + 170 = 5*o. Let s = h - -37. Suppose s*m - 3*d = -m + 21, 9 = 5*m + 2*d. Calculate b(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4 - 2)\/((-11)\/22) + 5. Let w = 574 + -573.7. What is the third biggest value in w, 0.2, 0.01, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 11\/282 + 6\/47. Let w(q) be the first derivative of 1 + 0*q**2 + 1\/8*q**4 + 0*q + l*q**3. What is u in w(u) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -20*a + 20. Suppose -10*y + 3*y + 84 = 0. Let g(k) = -50*k + 50. Let w(f) = y*p(f) - 5*g(f). Is 10 a factor of w(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/(-6)*1323\/(-294).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 - -69?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 3\/4 (c) -0.4 (d) 636 (e) 220\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-4)*12\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34258098.\nAnswer: 2, 3, 7, 815669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -733, -1456, -2167, -2860, -3529, -4168?\nAnswer: -4771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 - 57*l**2 - 304*l + 109. What is the lowest common multiple of 20 and d(-51)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5826895 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 11 = -3*r - 2*h, -44 = -5*r + h. Suppose i - r = 2*q, 5*i = -3*q - 0*i - 7. Let t(f) = -f - 4. Let s be t(-7). Put 1, s, q in ascending order.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 208*z - 2. Let a(q) = q**2 - 3*q - 3. Let c(o) = -2*o**2 + 7*o + 7. Let u(m) = 7*a(m) + 3*c(m). Determine u(l(f)).\nAnswer: 43264*f**2 - 832*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 106 - 68. Let i = -34 + y. What is the nearest to -1 in -0.1, -3\/2, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -196*k + 487 - 103. Factor 4\/9*r**4 - 32*r**3 + 1184*r + 4888\/9*r**k + 5476\/9.\nAnswer: 4*(r - 37)**2*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57*k**2 + 31*k**2 - 80*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 + -14.08. Let f = z + 0.38. Which is the third biggest value? (a) -1\/7 (b) -2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -309 - -319. Let k be 4\/((-5)\/(-15) - -1). Solve r = 4*o - 5*a, 2*o - k*a = 2*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + f - 2 = 0, -3*f - 68 + 89 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 0*i = 5, -4*c + 2*i = 2. Suppose c = 47*y - 51*y. Solve y*j - 12 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2155697 (base 10) to base 3.\nAnswer: -11001112001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w + 2*p - 185, w - 71 = 5*p - 7. Let s = w - 35. Find the second derivative of -455*m**3 + 455*m**3 + m**s + m + 4*m wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 235 (base 9) to base 4.\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -732*r**3*z**2 - 13*r**3*z - 17*r*z**2 - 2*r*z - 95*r + 2*z**2 - z wrt z.\nAnswer: -1464*r**3 - 34*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*x - 3*x. Let c be -12*(0 + x + 1). Let n be (c\/9 - 1)*3. Solve 3*s = n - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4324 + -4325. Sort o, 13, -9, -3, 5.\nAnswer: -9, -3, o, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 642 - 299. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 65 - 20. What is the remainder when s is divided by (-80)\/16*48\/(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000232146 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -57\/2875 and 11?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/9 (b) 4 (c) 0.9 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3435 + -2202. Calculate the greatest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-27)\/(-12))\/(-14*(-6)\/56)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -175 or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 14*o + 13. Let s be m(-1). Let a be ((-4)\/(-9) + s)*25\/(-125). Sort a, 0.1, 41.\nAnswer: 0.1, a, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:36 AM and 3:43 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8 + 8. Let u be 4\/8 - ((-6)\/15)\/(-1). Do j and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2 - ((-7)\/14)\/(1\/2). Let t be (-13 - -1) + (1 - (o + 5)). Let v(d) = -4*d - 11. What are the prime factors of v(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3*(0 + 4\/(-3)). Let m = 0 - t. Suppose -5*a - 3*d + m = 6, 5*d + 30 = 5*a. Calculate the greatest common factor of a and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.759 + 0.241. Let p = -14\/39 - -16\/117. What is the fourth biggest value in 35\/8, p, z, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130 - 16 = -3*j. Let h = 42 + j. Suppose 7*l - 3*y = 2*l - 3, 4*y = h. Solve l*q + 15 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4971484 millimeters to centimeters.\nAnswer: 0.04971484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:51 AM and 2:06 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the second derivative of -a**7\/21 + 116*a**5\/5 + 352*a**4\/3 - 1840*a**3 + 6400*a**2 - 7147*a. Let v(p) = 0. Calculate p.\nAnswer: -10, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.7 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 192076052 and 9352.\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1692\/(-47))\/(-36)*(-9)\/3)\/(75*-1).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -729 (base 12) to base 11.\nAnswer: -867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 318 is divided by ((-27)\/((-1701)\/1908))\/(4\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 43936357 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -1. Let i(o) = o**2 + 3*o + 4. Determine i(v) + 4*l(v).\nAnswer: v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*k - 68332 = -68748 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*r = 37*r - 124. Let l = 26 + -15. Suppose -l - 29 = -r*g. Solve 3*v = 8*v - g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the first derivative of -i**6\/40 - i**3\/6 - 3*i**2\/2 + 2. Let u(t) be the second derivative of m(t). Find the first derivative of u(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*t - 2*t + 2*t + 3*t + 3*t - 4*t + (-3 + 1 + 4)*(-1 + 1 - 2*t) + 4*t - 2*t - 4*t + 5*t - 3*t + 6*t - 1 - 3*t + 1.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 351 = 345. Suppose -3*n - 2*d - 2 = -d, 0 = -5*n - r*d - 6. Solve -9 = -j + 3*f - 2, n = -j - 2*f - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-24)*3 + 22\/24. What is the fourth smallest value in g, 4, 2, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2861, -2858, -2855, -2852, -2849?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes before 4:20 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 104234 (base 6) to base 12\nAnswer: 507a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/2265 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 1\/3 (b) -0.4 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 397 + 20?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 620 - 610. Solve -55*d + i = -50*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 567 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2315165 (base 7) in base 8?\nAnswer: -1066213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16*(-2)\/20*-2*8\/1088.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(3\/2)\/q)**9\/(q\/(((((q\/((q*q\/(q\/(q\/(q**(-2)*q))))\/q))\/q)\/q)\/q)\/q)*q\/(q**(7\/6)\/q)) assuming q is positive.\nAnswer: q**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**2 - 1749*d - 1434834.\nAnswer: 3*(d - 1042)*(d + 459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is b (base 12) in base 13?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -m + 11, -2*w - 3*m = -w. Find the third derivative of -208*g**2 - 26*g**4 + 138*g**2 + 148*g**2 + 2*g**3 - w*g wrt g.\nAnswer: -624*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:19 PM and 4:59 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the second derivative of a**4\/12 + a**3\/3 - 6*a**2 + 13*a - 2. Give i(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dzdddddzzzdddddzdzd. Give prob of sequence dzz.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -c8 (base 13) in base 3?\nAnswer: -20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64*p - 218*p + 16632 = 0. What is the highest common factor of p and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 22*k**2 - 5*k - 1. Let b be s(1). Suppose 0 = 4*g - b - 16. What is the least common multiple of g and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.4 - -5.6. Let c = -6.1 + n. Is c bigger than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-10))\/(((-672)\/(-40))\/(-7))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p**3\/5 + 674306*p**2\/5 + 56836409856*p\/5 + 56835735552\/5 = 0.\nAnswer: -168576, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 12231900 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -24.92182096 + 21.92182. Let y = o - -3. Round y to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the third derivative of -3*q**2 - 1\/3*q**3 - 1\/70*q**7 + 0 + 0*q**6 + 0*q**5 + 0*q + 0*q**4. Find the first derivative of v(w) wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/(-18) + 4\/18. Let v = -28757\/23183 - -294\/239. Are d and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 29*f + 159. Let a(s) = -6*s - 32. Let z(q) = 11*a(q) + 2*c(q). Let t be z(-7). Is t smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25001 is divided by 1190.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 28*i = 29*i - 1075, -3197 = -3*x + 4*i. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -n + 85*n**2 - 3*n + 6*n - 3*n to r + m*n**2 + w*n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 156 and 518583.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**3 + 14*x**2 - 11*x - 14. Let k be g(13). Suppose -l = -k*l + 132. Let j(v) = -v. Let z(h) = -14*h + 2. Calculate l*j(u) - z(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Are -109244 and -109260 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3497 and 1768.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 0 + (3 - 7 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1579824 and 3680?\nAnswer: 15798240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 177 = -6*o - 4*g, 0 = 3*o - 4*g + 201. Let k be (5 + o)*(-2)\/(-4). Let v = k - -37. Solve 3*q + y = v, 4*y = 2*q - 6*q + 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the second derivative of 7*x**4\/12 - 15*x - 22. Let h(n) = 4*n - 11. Let v(q) = -2*q + 6. Let k(c) = -6*h(c) - 11*v(c). Determine w(k(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3698752*d**3 + 3*d - 3*d - 3722740*d**3 + 7421493*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -7 (b) -79 (c) 15\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -79 + 54. Let h = 42 - g. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -2*y**2\/3 + 460*y\/3 - 458\/3 = 0.\nAnswer: 1, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of j**5 - 96*j**2 + 1226*j wrt j?\nAnswer: 20*j**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20 - 11. Let l = u + -1. What is the highest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gubgb. Give prob of sequence bu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 74935756 and 16786?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 47 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/12 + (-177)\/(-9). Let b = -14 + l. Solve -b*a - 33 = -2*y, -2*y = -2*a - 26 + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -286262394*d**2 - 146001672*d.\nAnswer: -572524788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**4 - 28*d**3 + 276*d**2 - 468*d.\nAnswer: -4*d*(d - 3)**2*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -41*v - 1609. Is z(-76) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/9 - (-2712)\/(-864)) + 3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -17, 1, 9, -4.\nAnswer: -17, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*90\/400*75*(-32)\/(-72)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 4*c**2 - 15*c - 10. Determine z(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -649 + 5051 + 6*p**3 + 5251 - 491.\nAnswer: 6*p**3 + 9162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*5*(1 + sqrt(99) + sqrt(99) + 4 - (sqrt(99) + 1 + -4)**2)*3 + 4 + 0.\nAnswer: -7721 + 1800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(11) + sqrt(1584) + sqrt(1584) + 0 + (1 + sqrt(11))*-3.\nAnswer: -3 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hoh. What is prob of sequence hh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, 3\/7, -1\/3, -6\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.1 + -4.1. Let i = c + 3.3. Let j = -2192\/7 + 314. Sort 1, j, i.\nAnswer: i, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46770 - -0.161813311?\nAnswer: 46770.161813311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3 - 10*t**2 - t - 7. Let o be (7\/14)\/(10\/(-200)). Calculate a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 5*n = -491, 3*c + 3*n - 121 = 2*c. Let a = c - 235. Is 0 - (2 + -1)*a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**2 + 7*k - 6. Let l be p(7). Is 27 a factor of 27 - (l\/(-3) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = 2*z + 2*v, 0 = 4*z + 6*v - 5*v - 77. Calculate the highest common factor of z and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 183450357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d + 16 = 4*b, 20*b - 19*b - 4 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 21 = k, 5 = 2*q + 2*k + k. Find the common denominator of q - (-2)\/80*74 and 73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*q**4 + 1 + 3*q**4 + q**2 + 0 - 3*q**4 in the form o*q**2 + c*q**3 + s*q**4 + d*q + z and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s**2 + 4*s**2 - 5*s**2)*(3*s**2 + 0*s**2 + s**2).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78 = 5*s + 13. Suppose s = 5*b + 2*j, -4*b + 5*j = -0*b - 17. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61066*f**3 + 54*f**2 - 28*f**2 - 26*f**2.\nAnswer: -61066*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 83*j**2 - 36*j + 286. What is the units digit of x(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-7))\/a**(-2\/7))\/((a**(1\/2)\/a*a)\/a*a\/a**(-3\/2)) assuming a is positive.\nAnswer: a**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 + -2. Let x = -118216.399992 + 118221.4. Let s = j + x. What is s rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes after 6:22 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3123307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-56)\/399*(-45)\/(-20)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {u: 1, b: 9, l: 1}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 + 7. Suppose a*z - 4*z = 15. Solve -2*k + 3*h = k + z, 0 = -4*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 536443777 take away 5?\nAnswer: 536443772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/7, 1, 2, 13, -18 in descending order.\nAnswer: 13, 2, 1, -3\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13 and 761059?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 133581507 plus -23?\nAnswer: 133581484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 27826818 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 5) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2685*l**4 - 288*l**3 - 7*l**2 + 3343*l - 300 wrt l?\nAnswer: -32220*l**2 - 1728*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-134 - 325 - 140)*(3*f - 11*f - 2*f) in the form r*f + g and give r.\nAnswer: 5990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 - 5*n + 10. What is the remainder when -5 + 1 + (26 - 15 - -20) is divided by i(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 12 = -4*x, 3*m = -0*x + 2*x + 36. What is the remainder when 28 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17.2 - 17.17. Which is the second biggest value? (a) 4 (b) -0.6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnngngngngngn. What is prob of sequence nn?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.3, -89, -0.01, 2, -2\/3, 0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3317*l + 1008 = 1661*l + 1642*l for l.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 5*w. Let k(m) = 153*m**2 + 6. What is j(k(h))?\nAnswer: 765*h**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - 2*u - 68, t - 32 = 4*u - u. Suppose t*b + 11*b - 10447 = 0. Round b to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 + 9*h - 6. Let l be y(9). Let b(q) = -2034*q - 107. Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25778197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m + 4. Let l(z) = 4*z - 5*z + 3*z - 3*z. Give l(d(p)).\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 2741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be (119\/28)\/17 - 487998\/(-8). Round w to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 65 minus -10?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from jcnoggjnohnhjgo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -528 - -564. Solve -56 - u = 23*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 3*n + 2*n**3 - 3 + 10 as c + t*n**3 + x*n**2 + v*n and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4345a (base 15) in base 14?\nAnswer: -57bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 864522 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 + 5*f - 9. Let o be s(-7). Is 239\/5 + 1\/o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 943450129 is divided by 6887.\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1141146 divided by 3?\nAnswer: 380382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v - 91 = 4*u - 79, -4*v = -u + 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(1 + sqrt(432))*-3.\nAnswer: 15 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -84, -3, 2, -12, 3 in descending order.\nAnswer: 3, 2, -3, -12, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -58 (base 15) in base 14?\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h**(1\/3)*h))\/h)\/h**(-2)*h*h**(4\/3)*h*h**(-2\/3))\/(((h**(2\/7)*h)\/h)**(-25)\/(h**(-2\/15)*(h**(-4)*h)\/h*h)) assuming h is positive.\nAnswer: h**(257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -3*t**2 + 3*t + 2. Let w be y(4). Let s = -68 + 34. Let k = w - s. Solve k = -3*j - g - 14, 4*j = -j - g - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 3786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 2349384 by -296.\nAnswer: -293673\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 15, 30, 47, 66, 87, 110, 135?\n\"Answer: r**2 + 12*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -28 - -26. Let n(u) = 6*u**2 + 4*u + 3. What is the remainder when 51 is divided by n(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/612 and -47\/366220.\nAnswer: 56031660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -264 - -263.966. Let m = q + -46.966. Sort 3, -5, m.\nAnswer: m, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 35904171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 43.977 - 44. Let m = -3.023 - t. Which is the third biggest value? (a) m (b) 5 (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the second derivative of -41*f**3\/3 + 32*f**2 - 4*f - 11. Find the first derivative of u(m) wrt m.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i = -4*c + 21, 2*c + 7*i + 17 = 4*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of 25\/2*p**2 + 0*p**5 - 1\/3*p**3 - 2*p + 142 - 29\/14*p**7 + 0*p**6 + 0*p**4. Find the second derivative of g(w) wrt w.\nAnswer: -1740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or 0.383982?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -138, -250, -362, -474, -586?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 3883*r + 26 - 3948*r - 26. Let m(f) = 22*f**2. Give m(t(c)).\nAnswer: 92950*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 881 is divided by 226.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 69623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -32277.6 times -3\nAnswer: 96832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2064 and 774?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -4\/567, -2, -1.9, 0?\nAnswer: -4\/567","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 55 = 5*f, -24*h + 61*h + 59*h = -2*h + 3*f - 469 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 37439.48 hours in microseconds?\nAnswer: 134782128000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1003123 (base 4) in base 7?\nAnswer: -15403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-122)\/(-5) + 1 + (63 - (-16848)\/(-270)). Let z(h) = -69*h + 1. Let m be z(-3). What is the greatest common divisor of t and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1334, 3, -4, 2, 53.\nAnswer: -4, 2, 3, 53, 1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-4)*10)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the first derivative of i**4\/12 - 7*i**3\/6 - 2*i**2 + 3*i + 8. Let t(o) be the first derivative of r(o). Calculate t(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74 + 109 = 5*r. Suppose r*l + 190 = 17*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -19*u + 5. Suppose 11 = 2*r + 5*s, 5*s = -r + 2*r + 17. Let p(z) = 2*z. Let t(g) = r*o(g) - 6*p(g). Is t(3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -190800 and 2.\nAnswer: -190798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -10*c - 8 + 4*c + 3*c. Let y be f(-4). Solve -y*k = i - 21, 3*k + i - 18 = -2*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*d - 3*c - 6, -4 = -4*d + 2*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1 + -5 - (-1 - 35) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2\/85, 3 in decreasing order.\nAnswer: 3, 2\/85, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -167105*l**4 - l - 81481?\nAnswer: -668420*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 33 and -268.089?\nAnswer: -8846.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (2*(-54)\/4)\/(-48*(-220)\/31680)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17\/207 - 2\/69. Let w = h + 32\/45. Factor -w*n - 1\/5 + 4\/5*n**2.\nAnswer: (n - 1)*(4*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*h - 4*h + 235 - 233 - 6*h**2)*((-55 - 80 + 162)*(2 - 1 + 1) + 3 + 1 - 6) as b + w*h**2 + p*h and give b.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 70 and 3380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of 13*s**3 + 21*s**2 + 65. What is the second derivative of j(v) wrt v?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2249\/519)\/(1\/3). Let g(d) be the second derivative of -3*d**3 - 5\/2*d**2 + 0 - n*d. Differentiate g(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -304, -548, -808, -1090, -1400, -1744, -2128, -2558?\n\"Answer: -u**3 - 2*u**2 - 231*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -6.4 and 652665.\nAnswer: -4177056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 76\/11 - 640\/99. Let r = 4 - 1. Let s = -2 - 2. Which is the third smallest value? (a) s (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 197*k**4 - 14344*k**3 + 4176277*k.\nAnswer: 2364*k**2 - 86064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-4 - -6 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000042282 rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 336150333 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v**3 + 79*v**2 - 79*v**2 - 2*v - 4*v**3 + 2*v + 2*v**3 + 2 - 2 + (2 - 1 + 1)*(v + 2*v**3 - v) - v**3 + 4 - 4.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in -0.00446, -223, 1\/2, 0.1?\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 135087703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -316, -330, -354, -388, -432, -486?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 2699694.9ms?\nAnswer: 0.00446378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -3*k**2 + 4 + 51*k + 5 + 27 - 2*k. Let g be p(17). Sort g, 5, -6, -8 in descending order.\nAnswer: 5, g, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7685 and 13340.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -60 + 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the first derivative of -107*c**5\/5 + 260*c - 494. What is the first derivative of y(k) wrt k?\nAnswer: -428*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -313, 36, -2, -1, -41 in ascending order.\nAnswer: -313, -41, -2, -1, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the third derivative of 0*t**3 + 0*t + 4*t**2 - 1\/20*t**5 + 0 + 0*t**4. Let k(l) = -l**2. Determine k(j(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 3*h**2 + 5*h**2 + 0 - 59*h**3 - 3 + 249*h**3 in the form a*h**2 + z*h + c*h**3 + d and give c.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the third derivative of -1\/3*a**3 + 1\/8*a**4 - 7*a**2 + 1\/8*a**6 + 0*a + 0*a**5 + 0. Calculate the remainder when 30 is divided by w(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2.84999414 + 2.85. Round b to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 38276889, 38276879, 38276869, 38276859?\n\"Answer: -10*a + 38276899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w**3 + 575*w**2 - 9070*w - 312800 = 0. What is w?\nAnswer: -16, 46, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42777 and 21.\nAnswer: 42777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 484867395*y - 245095992?\nAnswer: 484867395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mpmp when four letters picked without replacement from pmmmpmpm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208)*-4 - (-2 + sqrt(13) + -1))**2.\nAnswer: -102*sqrt(13) + 3766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 21*s**2 - 8*s - 26*s**2 + 4*s + 3*s**2 to h + g*s**2 + y*s and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.28 - 1.38. What is the closest to b in -0.1, 0.4, 40\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*w + 36. Let u be 3*6\/9*w. What is the derivative of -3 + 2*x**4 + 8 + 26*x**2 - u*x**2 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -8*o**2. Let i(m) be the second derivative of -m + 5\/6*m**3 + 0*m**2 - 19. What is f(i(q))?\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {n: 4, c: 3, z: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 66584, 266481, 599642, 1066067, 1665756?\n\"Answer: 66632*h**2 + h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -349 less than or equal to -326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 37647801 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -498, -997, -1496, -1995, -2494?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 78 in 4, -5\/6, 2.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -2*y + 9. Let k be l(6). Let q = k + 2. Suppose -9*a + 749 = 767. Sort 5, a, q in descending order.\nAnswer: 5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 246067811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 841 is divided by 332?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 39, 93, -1, -5 in decreasing order.\nAnswer: 93, 39, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ommmggmo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/4 + (-1819)\/214.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -14 - a?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 146 + -110. Calculate the greatest common factor of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -168, -197, -288, -471, -776, -1233?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j, 1 p, and 1 f when four letters picked without replacement from {f: 4, p: 4, r: 1, j: 5, c: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j**2. Let n(c) = -46*c + 53. Calculate n(y(q)).\nAnswer: 92*q**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 + 36. Let f = 89 + -27. Calculate the remainder when f is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 12976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 10 = -2*q. Suppose x = -t + 59 + 99, -t = -q*x + 313. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.2+33530060\nAnswer: 33530056.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 9.84 minus 1726484?\nAnswer: -1726474.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*y - 3*s - 15 = -2*y, 0 = -5*y + 3*s + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5 - 14089)*(-7 + (-5)\/(-1)). Suppose 16*m + 20*m - k = 0. What are the prime factors of m?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5780110 and 3550.\nAnswer: 28900550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*j**2 + j + 13*j + 4*j**2 + j to the form m*j**2 + o + v*j and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 387975 by -7.\nAnswer: -55425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (2618*h**2 - 5481*h**2 + 2619*h**2)*(14 - 14 - 9*h).\nAnswer: 2196*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**3 - 77*j**2 - 165*j + 6892. Calculate c(78).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1140 in -5, 50, -26\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 1.2. Let d = -6555.6 + 6555.5. Let u = 2.96 + -3. Which is the nearest to d? (a) s (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**2 - 15*f + 10. Let b(j) = -35*j - 42. Let t(n) = -2*n. Let d(a) = b(a) + 5*t(a). Calculate the least common multiple of d(-6) and y(15).\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 58.05732 + -4\nAnswer: 54.05732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4432 + -4432.2. Let v be 2\/9 - 76\/18. What is the third smallest value in 0.4, 2, n, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11323321 (base 4) to base 9.\nAnswer: -36314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25)\/135*(-36)\/30.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1196, -2393, -3590, -4787?\nAnswer: -5984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are -3\/12703 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2198*w + 2206*w = 48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 93019318 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 779*y - 2. Let m(n) = 7*n**2 - 6*n + 204. Let p(a) = a**2 - a + 34. Let s(o) = m(o) - 6*p(o). Give i(s(k)).\nAnswer: 779*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 3) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6 + 16071da?\nAnswer: 16071d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(544) + 4*sqrt(850))\/(sqrt(128) + (1*sqrt(128) - sqrt(128))*-6 + sqrt(128) + sqrt(128)*-1*3))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1156425?\nAnswer: 3, 5, 17, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -145\/3692388 and -95\/42?\nAnswer: 3692388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16576281.\nAnswer: 3, 499, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2871042600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -7*h + 4*h + 88, -136 = -5*h - 4*d. Suppose -3*b + k + k = 0, 0 = b - 3*k. Suppose b = 3*u + u - h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9*(76\/(-12) - -7). Suppose -4*h + 4*b + 16 = v*b, -5*h + 5 = -5*b. Solve 5*k + 19 = 2*j, -k + 15 = h*j - 4*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3948, 1.8, -11\/6, -0.5?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -10, -242, -4 in decreasing order.\nAnswer: -3, -4, -10, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -37\/315 - 14\/45. What is the smallest value in 0, 3\/5, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -129, -5?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6625\/4 + -1654. Factor -1\/4*p**3 + u*p**2 - 2*p + 0.\nAnswer: -p*(p - 8)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vbggbgbgbb. Give prob of picking 1 v and 2 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 418759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -2*j + 111, 9*j - 4*j - 312 = -o. Let w be 22\/(-28) + 18\/j. Is w less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-591)\/8865 + (-549)\/90 + 6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -105 by -321.\nAnswer: 35\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 - 16. Let u(j) = j**3 + 6*j**2 - 7*j + 6. Let y be u(w). Let h = 22 - 3. Solve a - 3*v - 13 = 0, y = -5*v - h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 610.50423 to 1 dp.\nAnswer: 610.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 - m**2 + 13*m + 3. Let w be y(-4). Let c be ((-8)\/(-32)*w)\/(3\/(-12)). Solve c = 5*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (141 + 722875\/(-5125))\/(-3 + 14\/6).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*r + 2*r. Let s(m) = -33 - 3*m - r*m**3 - m**2 + 31 - 3*m**3. Let h be s(-1). Solve 0 = h*t + 30 - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -67716*a*n**2 + a*n + 61633532*a + 121*n**2 - 2*n wrt n.\nAnswer: -135432*a*n + a + 242*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 22*c - 11 = -25*c, -10*v + 4 = -4*c. Solve 0 = v*x + i - 10, -5*i - 9 - 7 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 61 + -57.9. Round u to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -2*s**2 - 5*s - 10. Let b be f(0). Let t(d) = -d**3 - 10*d**2 - 2*d - 8. Give t(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -68544 divided by -1428?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 20*k**3 + 13*k**2 - 3. Let f(o) = -2*o**3 - 2*o**2 + 2. Let d(j) = -4*f(j) - z(j). Let b(x) = -133*x**3 - 56*x**2 - 56. Determine -5*b(l) + 56*d(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:53 AM and 4:44 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is x in x**2 - 966*x + 1928 = 0?\nAnswer: 2, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zpzzzzdpppdpzpp. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 42481*v**3 - v + 0*v + 5 + v**4 - 17 - 42481*v**3 - v**2 to y + o*v**2 + b*v**3 + n*v + a*v**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from hyllryayhl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -3*s**2. Let b(c) = 4697850*c. Calculate f(b(w)).\nAnswer: -66209383867500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 680441062.\nAnswer: 2, 7, 23, 79, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 + -19. Suppose 7*p - 8*p + 305 = l. Suppose -2*r + 42 = q - 245, 5*q + p = 2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(1700) - (-1 + sqrt(1700)))*-5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 8621 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 87692, 87695, 87700, 87707, 87716, 87727?\nAnswer: 87740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -949, -1969, -2989, -4009, -5029, -6049?\n\"Answer: -1020*n + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of d**5\/60 - 5*d**4\/12 - d**3\/6 + 12*d**2. Let r be c(9). Let v = r + 9. Let f(g) = -g - 2. Determine f(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 + 1 - 38\/2. Let u = -13 - a. Let b be (-10)\/8*(-720)\/180. What is the highest common divisor of u and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 9, r: 5}. Give prob of sequence ry.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) 431.6 (c) 3 (d) -13.6 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2 + 23 + 3*y - 2*y. Let w(j) be the third derivative of j**5\/120 + 31*j**3\/6 - 3*j**2 - 1. Let d(c) be the first derivative of w(c). Give r(d(i)).\nAnswer: i + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 4*g - g + 368, -3*g + 4*o - 344 = 0. Let m be ((-10)\/g)\/((-5)\/(-8)). Which is the second smallest value? (a) m (b) 5\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 15.5 + 51.5. Let h = -427 + 493.8. Let i = h - q. Which is greater: 20 or i?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/72 and -97\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -51.7 + 49.27. Let j = q + 2.42786. What is j rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1.17459 decades?\nAnswer: 140.9508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 293892348 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 30311001222323 - -1?\nAnswer: 30311001222330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - -101010110000111?\nAnswer: 101010110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 211022 (base 4) in base 7?\nAnswer: 6635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = 2*z + 33, 2 = 2*u - 2*z. Which is the nearest to 42? (a) 8 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q + 244093. Let h(d) = d**2. What is h(n(b))?\nAnswer: b**2 - 488186*b + 59581392649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(-100)*-10)\/(1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5.6 + -5.53. Let j = 7 - 7.1. Let k = s + j. What is k rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9321131269 to the nearest integer?\nAnswer: 96546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, -2\/59, -7, -4, -8 in decreasing order.\nAnswer: 3, 2, -2\/59, -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**3\/11 + 98*b\/11 - 240\/11.\nAnswer: -2*(b - 5)*(b - 3)*(b + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the third derivative of 5197*p**6\/120 - 939*p**5\/20 - 2263*p**2. What is the third derivative of a(n) wrt n?\nAnswer: 31182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 21863000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24209 + 24254. Let p = 2 - -28. Calculate the highest common factor of h and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 449 - 449. Solve l*k = -10*k + 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35120751 divided by -11706917.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/5 + (18 - 20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.1 take away 1391?\nAnswer: -1393.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000181 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -2*f**2 - f + 9. Let j(o) = -2*o**2 - 2*o + 11. Let k(i) = -3*j(i) + 4*q(i). Calculate k(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5447750157555144.0000134 + 5447749574230206. Let j = 583325001 + p. Let f = j + -63. Round f to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4\/55 + -152\/935. Suppose 0 + 2 = 2*t. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the third derivative of m**7\/168 - 7*m**6\/360 + m**5\/60 + m**3\/2 + 3*m**2. Let d(p) be the first derivative of q(p). Find f such that d(f) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -16*h + 1. Let a be k(3). Let w = a + 66. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iwrwwyyywgy. Give prob of sequence grgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1994940 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -724, -14, 4, 0 in increasing order.\nAnswer: -724, -14, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 102 = 3*m, -m - 160 = -6*m - 3*r. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*i + 9*i = -54. Let a be (i\/6)\/((-1)\/(-2))*3. What is the highest common divisor of 63 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h + 4*h**2 + 5*h - 1 - 3*h - 2*h. Calculate the remainder when 9 is divided by j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-13\/3)\/g)\/g**(4\/13) assuming g is positive.\nAnswer: g**(-220\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(171)\/(sqrt(3) - (sqrt(12) + sqrt(3) + sqrt(3))*-5))\/(sqrt(108)\/sqrt(4) + 2*sqrt(3)*3))**2.\nAnswer: 19\/35721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-26801 + 26801 - 255*z)*(-z**3 - 2*z**2 + 3*z**2 - 2*z**2).\nAnswer: 255*z**4 + 255*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 202041 (base 5) to base 6\nAnswer: 50105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 + -10000001111011011010?\nAnswer: -10000001111011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 2*n = -0*n + 2, -2*x + 3*n = 2. Suppose 2772 = x*w + 2732. Solve 3*l - 3*z = 3, -w*l - 3*z + 21 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -7*x**3 - 2*x - 2. Let i(d) = 35*d**3 + 11*d + 10. Let a(f) = -2*i(f) - 11*w(f). Differentiate a(j) wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 2*m + 13095 = 0, -4*l + 5*m = 4*m - 10476. Suppose 15*b - l = 12*b. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 2. Let s be 0 - (0 - t - 1). Solve v + 5 = s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 272 a factor of 527859248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 67840 + -0.005?\nAnswer: 67839.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 12085103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 + 3. Suppose -p - b - m = -3*p, 4*p = -3*b. Solve p*g + 5*k = -0*k - 9, -5*k = g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10234)\/7854 + 10\/6.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66*n**5 - 778*n**4 - 2208*n**3 + 504*n**2 = 0. What is n?\nAnswer: -6, 0, 7\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1035 and 8445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 10 = 0, -1 = -b + 3*l + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 111527120 by -22305424.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 733672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 974000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 0*k**3 + 0*k + 0*k**3 - k**3 - k. Let q(n) = -4*n**3 + n**2 - 5*n. Let o(f) = 3*q(f) - 15*w(f). What is the third derivative of o(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the first derivative of 4\/7*a**3 - 12\/7*a**2 - 1\/14*a**4 - 1 + 16\/7*a. Let v(u) = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -460*i**3 + 629*i**2.\nAnswer: -2760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 62\/(-12) + 0 + 460\/(-552). Let k be 26\/39 - 2\/o. Which is the second biggest value? (a) -32 (b) 3 (c) -2\/5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the third derivative of -p**6\/120 - p**5\/60 - p**3\/3 - 5*p**2. What is g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*w**6 - 132*w**3 + 633*w**2 wrt w?\nAnswer: 480*w**3 - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.36 or 5?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6899291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/8)\/((7389\/(-5747))\/((-4)\/(-14))).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 22 - -2. What is the units digit of r\/10*(-15)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5.06 + -5.271. Let x = y - -0.011. Which is the closest to x? (a) -1 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/9 in 4, 3, -0.06, 144\/7, 14?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(36)\/(sqrt(216)\/sqrt(2)))**2 + sqrt(30)\/(sqrt(640) - ((sqrt(640)*2 - sqrt(640) - sqrt(640)) + sqrt(640) + sqrt(640)))*5.\nAnswer: -5*sqrt(3)\/8 + 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 - 9*n - 10. Suppose o = -0*o - o. Suppose 5*j + 37 = 2*u, o*u = -3*j + 4*u - 25. What is t(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/12 and -33\/89730664.\nAnswer: 269191992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -1\/626?\nAnswer: -1\/626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, s: 3, o: 2, g: 1}. What is prob of picking 1 g and 1 o?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/60 - 12\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that 1 + 1\/2*f - f**2 - 1\/2*f**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 8:03 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**8*x**8)\/((x\/x**(-3))\/x*x\/((x*x**(-2))\/x)*x)*((x**3*x)\/x**(2\/5))\/(x*x**(1\/2))**(-1\/10) assuming x is positive.\nAnswer: x**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 37488 and 4686?\nAnswer: 37488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4789920 is divided by 136.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, i: 1, r: 2, m: 1, j: 1}. What is prob of sequence mi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2495 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(-12\/5))\/t**24*t**6\/(t\/(t*t\/((t\/(t*t**33*t*t))\/t))) assuming t is positive.\nAnswer: t**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 210885.2 from -576.\nAnswer: -211461.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5*(-3)\/3 + 472 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 194992?\nAnswer: 2, 7, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 345 = k + 4*k. Suppose -2*o - 61 = -3*o - r, r = o - k. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(((sqrt(684) - (sqrt(684)*4 + sqrt(684) - sqrt(684)))*5 - (sqrt(684) + 3 + sqrt(684) + -5 + sqrt(684)))*5 + -3))**2.\nAnswer: -272160*sqrt(19) + 199456164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of 0*h**2 + 1\/3*h**3 + 0*h - 23. Let c(q) = -17 - q**2 + 17 - 28. Calculate c(b(x)).\nAnswer: -x**4 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5 - 7. Let c = b + 2. Suppose 0 = l - 1, 4*h - 5*l - 31 = c. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3654 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 280\/(-168)*(-11 - -2). Let b = -1 + 6. Solve 0 = -b*v + o - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 7 - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/103, -1\/4, 4.\nAnswer: -1\/4, 1\/103, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 705680 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 56 + -41. Let t be 3\/4*(20\/p)\/1. Solve -3*y = 2 + t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 81 - 40. Suppose 0 = -c + 2*c + s. Let b = c - -62. What is the remainder when 61 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -108, -868, -1628, -2388, -3148?\n\"Answer: -760*h + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = r - 34. Let w = -24 + r. Is 13 a factor of -2 - w*(-3)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 8, p: 2}. Give prob of picking 2 u.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(2\/7)*u)\/(u*u**(-5\/6)))\/(u**(-2\/5)\/(u\/u**(-2\/5))) assuming u is positive.\nAnswer: u**(613\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2 + (sqrt(1008) - (sqrt(1008) + 1)) + sqrt(1008) + -1 + -1*sqrt(1008))*4 - -6*(sqrt(1008) - 1*-1*sqrt(1008))*-3) + -3 + 5)**2.\nAnswer: 12096*sqrt(7) + 1306564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3048, -3057, -3066, -3075?\nAnswer: -3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (183\/(-2623))\/((-105)\/93310)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 2 = 5. Let v = m + 6. Let u = -41 - -43. What is the remainder when v is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 3) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2961 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (102 + 19 - 8)*(0 + 2 + 0)*(-5*u + u + 5*u + (-5 + 2 + 1)*(-14*u + 12*u + 56*u)) to m*u + c and give m.\nAnswer: -24182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 79, 308, 689, 1222?\n\"Answer: 76*c**2 + c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 + -2a?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the first derivative of 2 + 4\/3*l**3 + 2*l**2 + 0*l. Factor x(y).\nAnswer: 4*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 2*a - z, 0*a + 17*z + 112 = -14*a + 26*z for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/1 - -4 - -5. Let m(g) = g - 8. What is m(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1375)\/15400 - 3\/(-8). Factor 0 - q*d**2 - 8*d.\nAnswer: -2*d*(d + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4 and 1306?\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = 7*m - 22. Let l(s) = -4*s + s**3 + 5*s**2 + 0*s**3 + 6 - 2*s. Let x be l(m). Solve -5*c - 9 = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -4\/13, 196\/3, 0.4 in decreasing order.\nAnswer: 196\/3, 0.4, 0.3, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 19 in 41, -0.1, -0.02, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -6118306 plus -619?\nAnswer: -6118925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + -39 - (-68 + -4 + 12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 47.5 * -1.\nAnswer: -47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -22 - -25. Let z(o) = 2*o - 5*o + 6*o**2 - n*o + o**3 - 3 - 4. Give z(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -7 + 10. Suppose -m + 363 = s*z, -4*z + 7*z - 3 = 0. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2461 + 2670. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2614 + 2613. What is the closest to -2 in -0.61, a, -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 407138*y**2 + 407124*y**2 - 814280*y**2.\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 102511.\nAnswer: 23, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -38\/39 (b) -1\/3 (c) -1 (d) -68 (e) 0.5 (f) 200\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 5 = 0, -6*m = -5*m - 4*f + 16. Suppose 0 = m*g + 107 + 21. Let b = g + 83. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*p**2 - 224 + 224)*(-2*p**2 + 2 + 141*p - 167*p + p**2).\nAnswer: 8*p**4 + 208*p**3 - 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from atsttttdatdtt. What is prob of picking 1 a and 1 d?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6956744 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g + 2. Let v be q(2). Let o = v - -3. Suppose o*l + 2*l - 5 = 0. Let s(z) = -2*z**2 + z - 1. Determine s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 2\/11, 3, 73?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1a - 3b435?\nAnswer: -3b44f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-22 + 15)*1*3. Let x = 4 - 7. Is 8 a factor of 1 + f\/9*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hsg when three letters picked without replacement from {m: 1, s: 1, p: 5, h: 2, g: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6360 and 1577490.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 48 = -40*s - 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -246*o + 883392 = -32*o. What are the prime factors of o?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2151447100 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rkkrkkrkrr. Give prob of sequence kk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6573 + -2?\nAnswer: 6571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-20)\/(-70) + 2908\/14.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10878 - 10880.3. Which is the closest to -1\/4? (a) -1 (b) m (c) -5\/2 (d) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 2*z - 2*l, l = z + z + 13. Let x = -2 - -1. Suppose 0 = -4*b - 3*f - 7, -2*f = 3*b + 2*b + 14. Put x, z, b in ascending order.\nAnswer: z, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 550678056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 326*r + 8. Let u(m) = m - 5. Give -2*u(k) - v(k).\nAnswer: -328*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 - -11. Suppose 0 = 2*z + 1 - g. What is the first derivative of z + 2 - 1 + h**3 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3 - (1\/(-1) + 1). Let w = -1 + q. What is the remainder when 9\/(-6)*(-16)\/6 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 670 (base 8) to base 2\nAnswer: 110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c - 376 - 421 = -947 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**3 - 17*k**2 + 244*k + 4002. Give z(-15).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 17786.1 + 0.161\nAnswer: 17786.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 283*g. Let a(u) = u. Calculate n(a(x)).\nAnswer: 283*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 140 = 3*l - 668, -5*l - 415 = -4*q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 610957773 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 40108\/15 - 2674. Which is the smallest value? (a) 2\/35 (b) 1.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-51751)\/((6 - (6 + 0)) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 11*b**3 - b**2 + 3*b. Let s(w) = -23*w**3 + 2*w**2 - 5*w. Determine 3*s(i) + 5*v(i).\nAnswer: -14*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 6*m**3 - 8*m**2 + 3. Let d(s) = -7*s**3 + 7*s**2 - 4. Give -5*d(k) - 6*v(k).\nAnswer: -k**3 + 13*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -3027 + 2996 + 27 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (0 + 6) - (3 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 718\/7 - 103. Let c = -1129 + 1130. What is the third biggest value in t, -1, 4\/9, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 149*q + 177*q + 1526 = 222 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 + -4*(-15)\/12. Let f = -0.5 + 4.5. Sort -5\/2, b, f in decreasing order.\nAnswer: f, b, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 2*k - 11. Suppose 13*c = 12 + 66. Let f(u) = 1 - 2 - 5 + u. Suppose 58*r = 54*r - 44. Give c*h(l) + r*f(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**4 + s**3 + 2*s**2 - 1. Let p(r) = 129*r**4 + 5*r**3 + 10*r**2 + r - 11. Let b(z) = 5*g(z) - p(z). Find the second derivative of b(w) wrt w.\nAnswer: -1488*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -110*(-36)\/396 - -27.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 7908 times 54\nAnswer: 427032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 135 - (-2 - -4)\/1 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5965.9 - -5683. Let k = -271 - x. Round k to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 2053 = -6*t + 2*t, c = -3*t + 680. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3800)*2*3*-3)\/(((sqrt(300) + (sqrt(300) - 1*sqrt(300)) - sqrt(300) - sqrt(300))\/sqrt(6) - sqrt(50)) + 1*sqrt(200)\/sqrt(4)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 28687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -30*n - 1. Suppose u + 9 = -2*u. Is i(u) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 6542 + 7408 = 5*m, 4*l = -3*m + 11165. What are the prime factors of l?\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -69*t**2 - 3*t**5 + 12*t**5 - 21*t**5 wrt t.\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 10\/(-40)*((-86)\/(-102) + -1). Let x = 1\/1275 + k. Do -1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 53576572 and 12?\nAnswer: 160729716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 2*g + 63 = 0, 5*a + 0*a = -g + 105. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/((3 - 2)\/3 - 0). Let j be 28 + 1 - ((-4 - 3) + d). What is the greatest common divisor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*d**2 - 16*d - 21*d + 36*d + 3*d**3 - 7*d**2 as g*d**3 + a*d + s + i*d**2 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (102021\/(-16455))\/(2\/20)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w = -2*l - 52, 6*w = 3*l - 52 - 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*n**3*r**3*y**2 + 54*n**3*r**3*y - 2*n**3*r**3 + 50*n**3 wrt y?\nAnswer: 6*n**3*r**3*y + 54*n**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*g + 4*a - 22, -3*g + 20 = -2*g + 5*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 10361862 to the nearest one hundred thousand.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2330021112 (base 4) in base 13?\nAnswer: 20ca06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 58 + -152200?\nAnswer: -152142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.037 - -6.497. Let x = w + -0.034. Let r = -4.5 + x. Which is the second biggest value? (a) r (b) 0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1700)*2*-3)**2 + 1 + 1 + sqrt(1700))*-4.\nAnswer: -244808 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 358 + -372 - (0 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.5 - 0.046\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -650 - -655. Put 8, 7, i in decreasing order.\nAnswer: 8, 7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2\/17 - 3725658*f\/17.\nAnswer: 2*f*(f - 1862829)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, o: 10, b: 1, i: 3}. Give prob of picking 1 o, 1 i, and 1 b.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1919 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.32859487 rounded to 4 dps?\nAnswer: 0.3286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8049175723\/2637983670 - -2\/15517551. Let s = -114\/35 - y. What is the common denominator of s and 151\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 87 is divided by 83.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1751153570 to the nearest integer?\nAnswer: 41847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of -10*i**3\/3 + 420*i. Let l(g) = -7*g. Give j(l(q)).\nAnswer: 140*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 0*i - 26 = 4*c, -4*i + 12 = -4*c. Let s = 1.9268 - -0.0732. What is the nearest to 1\/5 in s, c, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/(-15) - 24\/(-15). What is the third derivative of 4*h**5 + 6*h**4 - 14*h**4 + 8*h**4 - 3*h**p wrt h?\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15778202491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(7\/5)*n**4*n\/(n\/(n\/n**(2\/5)))*n*n**(-2)\/n assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -24 + 33. Suppose a = 2*s + 3, -4*m - 5*s = -31. Solve -4*t + 16 - m = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 257.3728648 to the nearest integer.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 759 - -2085?\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1198203?\nAnswer: 3, 399401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 30769837 and 966?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4 - 4)\/(0 + 1). Suppose b = 5*d + 13 - 58. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -810 divided by -135.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-806)\/(-156))\/((-5)\/(-30))*1. Let a(u) = 2*u**2 - 62*u - 12. Determine a(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19 - -31. Suppose -3*l = -0 - n. Suppose 3*f - 5*x = 409, -4*f - 209 + 797 = l*x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -2*m**2\/9 - 20*m\/3 + 128\/9 = 0.\nAnswer: -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/135548 and -31\/5614?\nAnswer: 54354748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1456\/(-102648))\/((-16)\/188).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of -n**5\/4 - 165*n**4\/4 - 5445*n**3\/2 - 179685*n**2\/2 - 188*n - 2. Factor x(d).\nAnswer: -5*(d + 33)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-26)\/455)\/((15\/(-21))\/5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(95) - (1*sqrt(95) + sqrt(95)))*6)\/(sqrt(320)*-2))**2 + -2)*5.\nAnswer: 215\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -6*y**3 + 322*y**2 + 107*y + 45. What is i(54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 - 2*j**2 - 5*j + 3. Let c(a) = -3*a**3 + 5*a**2 + 15*a - 9. Let t(i) = 3*c(i) + 8*k(i). Solve t(x) = 0 for x.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -249534, -499085, -748636, -998187?\nAnswer: -1247738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 16512 divided by -2?\nAnswer: -8256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**3 - 576*j**2 - 2780*j.\nAnswer: -4*j*(j + 5)*(j + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -2*j**3 - 16*j - 2. Let s(p) = -p**3 + p + 1. Suppose 2 = 2*b - 0*b. Let x(n) = b*m(n) + 2*s(n). What is the second derivative of x(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 25 = 4*b + y, -5*y = 3*b + 40. Let i = 3.216 - 0.216. What is the closest to i in -0.4, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 + 14. Let k(n) be the second derivative of 2*n**3\/3 + n**2\/2 + n. Is k(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the second derivative of j + 0 + 1\/6*j**3 + 0*j**2. Let y(i) = 9003*i**2 + 3 - 8996*i**2 - 3. Determine b(y(z)).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*2*(sqrt(156) + sqrt(156)*-2)*5)\/((sqrt(48)\/sqrt(4) + sqrt(12))*5 + -1*sqrt(72)\/sqrt(6)).\nAnswer: -20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*b**3 + 0*b**4 + 5*b**4 - 3*b**4 + (501 + 8*b - 499 - 40*b - 7*b**2)*(b**2 + b**2 - 4*b**2).\nAnswer: 16*b**4 + 62*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or 16\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of -2*g**5\/45 - g**4\/9 + 8*g**3\/27 + 2*g**2\/9 - 2*g\/3 + 20. What is s in k(s) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -242 + 407\/2. Let r = 82997521\/698736 + -168\/14557. Let g = r - 355\/3. Find the common denominator of p and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/12765 and -43\/10212.\nAnswer: 51060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**3\/8 - 3*n**2\/4 + 7*n\/8.\nAnswer: -n*(n - 1)*(n + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 303963 is divided by 1575.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 439*r - 8818 - 9353 = -5001 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 587 - 32*o**3 + 39*o**3 - 2*o**2 + 135 wrt o.\nAnswer: 21*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (1 + -5 + 2 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:17 AM and 2:26 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(20) + -2 + sqrt(1620) + sqrt(5))**2.\nAnswer: -84*sqrt(5) + 2211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 9*o - 4. Suppose -u - 14 = -4*j - 12, -4*u - 4*j + 12 = 0. Calculate w(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 506 = -4*r + 202. Let c = r + 109. Suppose -5*b + c = -122. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bba when three letters picked without replacement from {a: 2, y: 1, p: 1, c: 2, x: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 849254145.4 rounded to the nearest ten thousand?\nAnswer: 849250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 1\/6, 0.4, 0.25 in descending order.\nAnswer: 0.4, 0.25, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 3*s = -29 + 47, -s - 73 = -25*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 50126 divided by -833\nAnswer: -50126\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 425671.8 millilitres?\nAnswer: 425.6718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-517)\/(-77) + (-10240)\/1720 + 8\/(-172).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3834797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 + 9*f + 9. Let r be v(-9). Solve 3*k = 12, -5*o + 6*k - 2*k = -r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -62840145*f**4 + 32243043*f**2 wrt f.\nAnswer: -1508163480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 174594*j. Let v(k) = -2*k. Calculate z(v(m)).\nAnswer: -349188*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/494 or 1?\nAnswer: 1\/494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m - m + 0*m)*(11 + 11 + 4).\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 20, 99, 230, 413, 648, 935?\n\"Answer: 26*u**2 + u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rxrr when four letters picked without replacement from {x: 1, r: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 1639935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 127741369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -409, -824, -1239, -1654?\n\"Answer: -415*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lomzlbz. What is prob of picking 1 z and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from pgepbbepkb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f + 1 = -2*f + h, -3*f + 5*h = 31 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 27 - 74809?\nAnswer: -74782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 904939 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 484*i - 3 + 990*i - 560*i as o*i + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12 and (-530 + 2)\/(48\/(-24))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -16*h + 358. Give t(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 + -1020?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**2 - 4*b + 1. Let t be o(-3). Suppose -a = -t*a + 1761. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*f**5 - 2*f**4 - 2553*f**2 + 4864*f wrt f?\nAnswer: -60*f**3 - 24*f**2 - 5106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**3 - 2*w**2 + 7*w + 6. Let o be u(-4). Suppose 4*k = -5*i - 105, 0 = -k - 2*k + 15. What are the prime factors of i\/10*(-404)\/o?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618680 rounded to the nearest 10000?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -417464892, -417464894, -417464896, -417464898, -417464900?\nAnswer: -417464902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/(-10)*7\/(126\/(-60)). Let k be 5*(3 - (-23349)\/15). Suppose k = a + g*a + h, -4*h = 8. Round a to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 + (0 + 6 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2 > 13844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 3*s**3 - s**2 - 3*s + 1. Let l = 2 - -5. Let v(q) = -q**2 + q - l + 6 + 2*q**2 - q**3. Let w(b) = -2*h(b) - 4*v(b). Factor w(p).\nAnswer: -2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -381 + 383. Let h(b) = -b**2 + 4*b + 2. Let s be h(5). Sort s, -5, -7, j in decreasing order.\nAnswer: j, s, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -2) + -1 + 36 + (2785 - 2772)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.1 (b) 6 (c) -2\/9 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.01 + 0.07. Which is bigger: 1\/3 or y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1103646 is divided by 13623.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) -199 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 311867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*m**4*m))\/((m\/m**(-2\/3)*m)\/m)*m**(-4)\/(m**5*m))\/(m**(-2)\/(m*m\/((m*m\/(m**(3\/5)\/m))\/m)*m))**(-8\/17) assuming m is positive.\nAnswer: m**(-4682\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 287967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(8\/(-8)*54))\/(22\/9)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2 - 13\/(-4))\/(73\/584). Suppose 106 - 346 = -u*x. What is the greatest common factor of x and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -153 + 171 = -6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*o**3 - 14*o**3 + 22*o**3)*(-9 + 4 - 10)*(-2 + 2 - 1) to the form p*o**3 + s*o**2 + x*o + c and give p.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/3 - 494*y\/3 - 5555\/3.\nAnswer: (y - 505)*(y + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-1\/2)\/k)\/k)\/k**(7\/2)*k**(-1)\/k*(k**(2\/13)*k)\/k assuming k is positive.\nAnswer: k**(-102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 9\/34 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = -5*g + 195. Let w = 36 + -24. Suppose -w + 40 = p. Calculate the remainder when p is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 63 + 93 = 4*x, -31 = -3*x + 2*h. Calculate the remainder when 1169 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 100002202 (base 4) to base 8.\nAnswer: 200242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -12, 54, 164, 318, 516?\n\"Answer: 22*g**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9867 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wdc when three letters picked without replacement from vldwltwvc?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 8 = 2*z, 0*z = 3*q + z - 10. Suppose 5*a + 13 = -6*r + 2*r, -q*a - 1 = -r. Suppose -5*j + 21 = -4*l, 4*l + 3*j - 8 = 11. Sort a, l, 0.\nAnswer: a, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, m: 9}. What is prob of sequence my?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 + 8*t**2 + 5*t - 15. Suppose -20*q - 11 = 2*n - 23*q, -4*n = -q + 27. What is y(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12599600 rounded to the nearest one hundred thousand?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55403 is divided by 1104?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (21 + -11 - 10) + (-5 - -2) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 71615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 3.5 * 0.6\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes after 12:29 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (6*(-1)\/(-4))\/((-1)\/(-22)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 21a631882 + 0?\nAnswer: 21a631882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of f**3 + 128*f**2*x - 2*f**2 - 63*f*x - 4*x + 5 wrt f?\nAnswer: 6*f + 256*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 - -4. Let d be (-535 - 2)\/3 - w. What is the remainder when (-2)\/(-8) + d\/(-12) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 19 - 25. Suppose -4*j - j + o = 16, -4*j = o + f. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -62*x + 195*x - 92*x. Let d(k) = -3*k. What is b(d(a))?\nAnswer: -123*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*o + 10*o + 15 = y, 2*y - 4*o = -20. Suppose -79*p + 83*p - 48 = y. Calculate the smallest common multiple of ((-20)\/(-2 + 4))\/(-1) and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -5*p**3 - 17*p**2 + 8*p - 1. Let c be y(-4). Calculate the greatest common factor of c and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3722549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 8981*o**2 + 5*o + 31. Let y be l(5). Suppose 0 = 26*v - y - 472245. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of f**6\/2 - 266*f**5\/5 - 97*f**4\/4 + 716*f**3\/3 - 178*f**2 - 1708. What is c in r(c) = 0?\nAnswer: -2, 0, 2\/3, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -6458327.\nAnswer: 1\/6458327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1597 - -1711. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 1724732.\nAnswer: -1\/431183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the first derivative of 10*o - 3*o + 2 - 7*o + o**3. Let y(a) be the second derivative of -a**3\/6 + 2*a. Determine y(m(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-3)*9\/(-102). Which is the closest to 0.04? (a) q (b) -1\/7 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -2*o**3 + 3*o - 5. Let d be i(3). Let l = d - -54. What is the units digit of (-205)\/(-6) - l\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 15, 4, 9050, 1.\nAnswer: 0, 1, 4, 15, 9050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 141312 = 59*m - 198060 + 13869. Which is smaller: 5516 or m?\nAnswer: 5516","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 45\/8 of a microgram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 291213 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32 divided by -321388.\nAnswer: 8\/80347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/17? (a) -17 (b) -4 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from burlxbs. What is prob of sequence usxr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b = -4*i + 6*i - 20, 3*b - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together 469314.1261 and -0.025.\nAnswer: 469314.1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 divided by -1363.\nAnswer: 9\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2545, -10118, -22637, -40018, -62177, -89030, -120493?\n\"Answer: 14*c**3 - 2557*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 4 + 4 - (-1 - 3) - 20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000006084 rounded to seven dps?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 3*j - 1. Let k(g) = g**2 - 7*g - 2. Let d be k(7). Let b = 1 + d. Determine c(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 16) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3404 (base 5) in base 11?\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11 - -29. What is the third derivative of -107 - 10*u**5 - k*u**2 + 107 wrt u?\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -867*c**2 - 5. Let i(j) = 434*j**2 + 3. Give 5*i(v) + 3*t(v).\nAnswer: -431*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1608 and 82326786?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the second derivative of 0 + 1\/6*b**4 + b**3 + 2*b + 7\/2*b**2. Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -1651 + 1651 + 165*a**2 - 171*a**2. Let u(o) = 159*o**2. What is f(u(k))?\nAnswer: -151686*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-24))\/(1*(-1)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1647*-0.05\nAnswer: 82.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - 0. Suppose j = 3*n - 2*n. Calculate the remainder when (n - -12)*14\/4 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kdddkkrkbdpbbba. What is prob of picking 1 d, 1 p, and 1 b?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (14\/(-273))\/(10\/45). What is the third biggest value in 3\/10, 0.4, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -2*v**2 + 4. Let j(h) = -h**2 + h + 1. Let g(d) = -7*d**2 + 5*d + 10. Let c(r) = -g(r) + 5*j(r). Determine 4*c(l) + 5*u(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5\/168633 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2*p**2 - 15*p - 96. Let x be l(16). Suppose -w - 7*w + x = 0. What is the smallest common multiple of 26 and w?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 4*v**3 + 29*v**2 + 8*v + 6. Determine z(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 7.939255 millilitres?\nAnswer: 0.007939255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = b - 104, 3*b - 2*l + 0*l - 298 = 0. Calculate the least common multiple of 63 and b.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 5\/(-2))\/(5871\/(-3914)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -88.03413 to the nearest integer.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u - 0*u - 5*x + 26, -5*u + 4*x - 28 = 0. Suppose 0 = 2*s - 4*g - 4, 4*s + 4*g - 10 = -2. Sort u, 3, s.\nAnswer: u, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 + 4*s + 6. Let j be 2\/(9\/(-15) - -1). Let u be c(j). Let i(g) = 0*g + 4*g**2 - 1 - 3*g - u + 5*g + 2*g**3. Calculate i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 + -4 - (-27)\/3. Suppose 3*p = -4*v + 64, 2*v = l*v - 5*p - 64. Calculate the smallest common multiple of v and (-6 + 0)\/(9\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**4 + 45*c**3 + 168*c**2 + 180*c.\nAnswer: 3*c*(c + 2)*(c + 3)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38320 is divided by 9577.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 34 - 78. Sort 3\/4, d, 4 in decreasing order.\nAnswer: 4, 3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.411 - 0.139. Sort -0.2, 1\/12, c, -4 in decreasing order.\nAnswer: 1\/12, -0.2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}