diff --git "a/data/dm_maths/full_data/10105_11255.jsonl" "b/data/dm_maths/full_data/10105_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10105_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 21301211?\nAnswer: 43, 495377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = 12*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 85, 194, 345?\n\"Answer: 21*f**2 + 4*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 151505000 rounded to the nearest one million?\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -41. Let x be (-24)\/11 + 3 + -1. What is the second smallest value in l, 1\/3, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*a - 78159 = 0, -268*v - 2*a + 46893 = -265*v. What are the prime factors of v?\nAnswer: 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. List the prime factors of (-6 - 1)*-1*h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6367)\/(-108239))\/(4\/(-306))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 469572 and 61030?\nAnswer: 39913620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5 = -4*m, -1069*m - 11 = -1063*m - 5*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.6. Let q = 6263 - 6328. What is the third smallest value in q, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 23*d**2 - 9*d - 39. Let r be u(-23). Let c be r\/(-32) - (2 + 27\/(-12)). Which is smaller: c or -14\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 + 9*c + 3. Let t(h) be the second derivative of -5*h**4\/12 - 5*h**3\/3 - 3*h**2\/2 + 6555*h. What is -4*t(j) - 3*u(j)?\nAnswer: 2*j**2 + 13*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1c246 (base 13) to base 2\nAnswer: 1101100000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r + 1. Let b(f) = 2*f**2 - 5*f + 54. Let d(h) = b(h) - q(h). What are the prime factors of d(0)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7459 is divided by 1858?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/4 + -6)*0\/(-1). Suppose p = -3*r - 4*u - 92, 0 = r - 4*u - 11 + 63. What is r rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba + 19?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000084577635 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and (-8304)\/(-173)*13\/3.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 + 129. Let h be 3*m\/(-3) + (-4)\/(-4). Let d(n) = -4*n**2 - n + 1. Determine d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 3.7. Let f = 16607 - 16610. Let d = 0.3 + 0.1. Which is the nearest to -0.1? (a) g (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(4*d - 3*d - 4*d)*(-1 + 3 - 1)*(-1 - 1 + 1).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8049856.\nAnswer: 2, 73, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1727.\nAnswer: -6\/1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + -2. Let q = x + 104. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -102*z + 2. Let i(f) = 103*f - 2. Calculate 4*a(l) + 3*i(l).\nAnswer: -99*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106.12 - -0.7810257.\nAnswer: -105.3389743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - -5)*2 - 5)*-37. Solve 0 = -38*s + d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*j - j**3 + 93 + 44*j - 194*j as v*j**3 + r + s*j**2 + p*j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 25 = w + 5*s, 2*s = -5*w + 22. Suppose 2048 = 5*x + n, 0*x - x - w*n = -421. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 2*q**2 - q - 1. Let f be h(-5). Suppose 0 = -3*u + 23 + f. What is the highest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 195 = -5*z, -z = -3*q + 119. Let h(a) = a**3 + 11*a**2 + 2*a - 21. Calculate the remainder when h(-5) is divided by q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.51 + 0.81. Which is the third biggest value? (a) 1.1 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(((-3)\/(-7))\/((-13)\/(-39))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - 32035\/(-596)) + ((-2)\/(-612))\/(4\/258).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*m**3 - 2266*m**2 + 259230?\nAnswer: 87*m**2 - 4532*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1226962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 2.3. Let k = 54 - 57.3. Let j = k + -0.7. Sort j, 0.4, g.\nAnswer: j, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + a)*(4*a - 4*a - 2*a)*(-3 + 3 - 1)*(0 + 0 + 1) + 0*a - a**2 + 0*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/11 - -15\/22. Let g = 7.7 + -10.7. Which is the third smallest value? (a) k (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28054 and 415.\nAnswer: 140270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, q: 9}. Give prob of sequence uu.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 17*s - 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*i - 10 = 0, 10 = 5*b - 3*b - 5*i. Suppose 11*x - 16 = 3*x. Suppose b*h = -3*l - x, 4*h + 5*l + 12 = -0*h. Solve h*p + 2*p + 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 159*s + 242. Let o be i(-30). Let y(q) = q**2 + 28*q + 21. What is y(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3080481 by -1026827.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15.079445675+24\nAnswer: 39.079445675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(6\/19)\/y)\/(y*y*(y**8\/y)\/y*y*y))\/(y**(-5))**(-38))**40 assuming y is positive.\nAnswer: y**(-151760\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 14 - 6)*(10*o**4 - 7*o**4 + 9*o**4) - 9*o**4 + 4*o**4 - 9*o**4 in the form r*o**2 + d*o**4 + f*o + y + h*o**3 and give d.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*z - 3)*(-5312*z**3 - 5231*z**3 + 10212*z**3) to the form j*z**2 + g*z**3 + t*z + a + v*z**4 and give v.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {t: 5, z: 1, b: 6, l: 1, w: 1, p: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13602573 and 45018?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3182000 to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -39*j**2 - 23781*j + 5549. Give g(-610).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (12 - -6)) + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 511775*o - 3070639. Determine b(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 10:33 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 8\/69, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b. Let f(z) = 4*z - 3. Let q(w) = w + 1. Let x(g) = f(g) + 3*q(g). Let a(o) = 6*o. Let y(c) = 4*a(c) - 3*x(c). Give j(y(k)).\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-81) + 38\/6 + -2. Suppose -5*b = 5*k + 15, 2*b - 33 = 3*b - 5*k. Let c be (-2)\/(-6)*(-168)\/b. Solve 2*w - w = d - c, -w + m*d = 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2\/7, 5, 0.9, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.051 + -18.351. What is the nearest to -3\/5 in -4, 3, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 take away 0.1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - d + 1. Let t(z) = 20*z**2 - 11*z + 11. Let b(l) = -22*c(l) + 2*t(l). Let v(r) = 2*r. Give v(b(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:22 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -18. Let r be (-4)\/12*(-4 + -5). Suppose r*x + 0*c - 3*c = l, x - 4*c = 18. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*c)*(-26 + 21 + 12)*(5 - 1 + 0) + 0*c + 3 + c + 9*c.\nAnswer: -46*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1143 - 393 = 0. List the prime factors of ((-6)\/8)\/((-16)\/x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 96*c\/7 + 160.\nAnswer: 2*(c - 28)*(c - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2217945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42a (base 12) to base 11\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5233 = -0*v - 5*b, 2*v - 2589 = -3*b. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 42 + 56 = 0. Solve 3*x + 0*r + 4*r = 0, 0 = -2*x - 2*r - z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 68 - 8*x + 35.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 5*f**4 - 6*f**4)*(-18*f + 33*f - 5 - 33*f).\nAnswer: -18*f**5 - 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2342 + 21?\nAnswer: -2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 3 + 2 + 0)*(3 - 3 - 1)*(-609*v - 585*v + 1249*v) to the form l*v**2 + r + z*v and give z.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a minute in seconds?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 72 - 78 + 60 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(52)\/sqrt(64) + 4.\nAnswer: 4 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1479541*n + 2 - 695*n**5 + 1479541*n - 655*n**2 wrt n?\nAnswer: -41700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5627156 or 5627154?\nAnswer: 5627154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 25118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-41456)\/10 - 1\/2. Let u = q - -4141. Calculate the common denominator of u and -73\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 174. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.06 + 13. Sort g, 2\/5, 3.\nAnswer: g, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 3. Let c be g(-3). Let o be c\/12*0 - -1. Put -1\/7, -4, o in descending order.\nAnswer: o, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222*0.4\nAnswer: -88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4017 + 3981.78. Let w = 35 + k. Round w to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(-42) + (-181)\/6. Is 0.2 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*u + 13 = u, 0 = 4*b - u - 52. Suppose -10*s + b*s - 42 = 0. What is the greatest common divisor of s and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**1))\/g*g)\/g)\/(g**7*g) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65961\/10 or -6597?\nAnswer: -6597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5, -2*l + 4 = 3*a - 4. Suppose -5*h + 0*g = -3*g - 12, -8 = -4*h + a*g. What is the units digit of (-27 - h)*3\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-47)*r*r)\/r))\/((r*(r\/r**(-15))\/r)\/r*r) assuming r is positive.\nAnswer: r**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1368 by -9.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 285?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, o: 1, p: 1, r: 1, k: 2, i: 3}. What is prob of sequence skii?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:59 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 112*j**3 - 4*j + 3. Suppose 0*u + 64 = -4*u. Let x = -15 - u. Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*o**2 - 26231*o + 26231*o.\nAnswer: 379*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 42, 61, 82, 105?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -127*g + 1578. List the prime factors of x(-36).\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.01 (b) -0.5 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 277511 or 275790?\nAnswer: 277511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.230133 meters to kilometers.\nAnswer: 0.000230133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 14946602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-561)\/(-22)))\/((-5)\/3 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/76288 and -23\/19072.\nAnswer: 76288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 1 - 1)*(-3 - 1 + 6) + 11*w + 12 - 12 + 3*w - 3*w - w + (-1 + 2 - 3)*(-w + 0 + 0).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2. Let f be 320 + -12 - (0 - 1). Let n(s) = -2*s**2 - 309 + f. Calculate m(n(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*y**3 - 18*o**2*y - 301*o**2 - o*y**3 - 147052*o wrt o.\nAnswer: 2*y**3 - 36*y - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71329517 to the power of 1\/2, to the nearest integer?\nAnswer: 8446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-17 - 18) + 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9466923 to the power of 1\/2, to the nearest integer?\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125204 and 6328.\nAnswer: 1752856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722126.\nAnswer: 2, 3, 7, 131, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/9 + 42131*z**2\/9 - 421385*z\/9 + 351175\/3.\nAnswer: (z - 5)**2*(z + 42141)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 11*c - 5*c. Let h = 6 - 4. Suppose -78 = -h*z - c. Solve -3*p + 5 = 2*p, 3*f + z = 4*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 3. Let q be a(0). Suppose 0 = 3*j + 4*b + 14, -8 = q*b - 2. Let s be (-1 - j\/2) + -400. Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611017?\nAnswer: 37, 43541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3 (b) -1\/5 (c) -1\/2 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -1b4?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -4) + (-6 - -2) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**7\/2940 + 4*g**3\/3 + 4. Let b(m) be the third derivative of u(m). What is f in b(f) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*w = -276, 0 = h - 13*w + 12*w - 264. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 379 - -29?\nAnswer: 3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7 + 5. Let p(d) = 14 + 2 + 20 - 11 - 5*d. Let v be p(4). Solve -2*h - 6 = -u, 2*h - v*u + u + s = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -302001?\nAnswer: 302010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/2 - 23\/6. Let u = -1\/9 - d. Which is the biggest value? (a) -1 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681*n + 54848 + 49374 = 0 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1212, -1160, -1068, -930, -740?\n\"Answer: q**3 + 14*q**2 + 3*q - 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 10, u: 1, a: 1, b: 1}. Give prob of sequence mbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7823*w - 1386032 + 376865 for w.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 32*p = -960. Let x be (-60)\/p - 6*1\/8. Let z(i) = 2*i + 3. Let k(s) = -3*s - 4. Let n(d) = -5*k(d) - 7*z(d). Calculate n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22171055, -44341968, -66512879, -88683788, -110854695, -133025600?\nAnswer: -155196503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 12*m - 12 + 3*m + 2*m - 7*m + (5 - 5 - 3*m)*(1 + 1 - 3))*(0*m**2 - 17*m**2 - 16*m**2).\nAnswer: -429*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -16.5580975.\nAnswer: 10.5580975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -38*q - 283. Determine a(-24).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -59407311 * 0.1\nAnswer: -5940731.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13055539 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 178*g**2 + 5*g + 3. Let n be t(-3). What is n rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6974.04 + 6974. Sort 4, z, 0.01, 5 in decreasing order.\nAnswer: 5, 4, 0.01, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 33069.9, -0.5, 1, 3, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1848, -3506, -5146, -6762, -8348, -9898, -11406?\nAnswer: -12866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 23. Let j be l(8). Let f = -17 - -20. Suppose f = o - 1. Sort j, 11, o.\nAnswer: j, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1593018*j**3 + 22878*j**2 - 4*j = 0. Calculate j.\nAnswer: 0, 1\/5649, 2\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 559697 and 548339.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1176974 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {t: 1, p: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 201, 402, 601, 798?\n\"Answer: -s**2 + 204*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19992823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59 + (-4)\/(-5) + (-1770)\/150 and 6576?\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 596088 and 82?\nAnswer: 24439608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/13, -2\/9, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, 413, -259, -4, -14 in increasing order.\nAnswer: -259, -14, -4, 0, 1, 4, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.49 and -0.2.\nAnswer: 24.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = 12*c + 45 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 1*(sqrt(114) - (sqrt(114)*2 - sqrt(114)) - sqrt(114)) + sqrt(114) + -1*sqrt(114)*3 + sqrt(114))\/((-2*sqrt(2160))\/sqrt(10)) + 1)**2.\nAnswer: sqrt(19)\/6 + 163\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u - 127*u + 19*u**2 + 5*u**2 + 29*u + 50*u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82448, -164897, -247346, -329795, -412244, -494693?\nAnswer: -577142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111\/(-37)*(-1 - -3 - 21) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 w when four letters picked without replacement from lwmmlwww?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 33 - 21)*(2*n**3 - 2*n**3 - 2*n**3) + (2*n - n + 0*n)*(3*n**2 + 0*n**2 - 4*n**2).\nAnswer: 81*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-34)\/10)\/(-93 + (-59452)\/(-445))\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**9)\/n**(-32)*n\/(n*n*n\/(n*n**(-37)))*n*n**31*n)**(-41) assuming n is positive.\nAnswer: n**(-820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 4 + c)*(-5*c + 3*c + c) as w*c**2 + f*c + g and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m - 780. What is a(-41)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274332053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -1 - (1 + 1 + 0 - -12).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 + 70*g**2 + 125*g + 60 = 0. Calculate g.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d - 45. Let c be j(-5). Suppose 41*h - 33*h = c. Solve h = l + 3*l - 4*q + 8, 3*l - 5*q = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*o + 2, 0 = 340*o - 344*o - 5*x + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 2, s: 1, y: 1, b: 1, j: 5}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*t - 35 = 0, -112*d + 5 = -113*d + 2*t. Solve 5*l + 14 = 4*g, -2*g - d*l + 4*l = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 187850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 3, 11, 23, 39, 59, 83?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 + 2*o**4 - 5*o + 8*o + 5*o**3 + o**2 to s*o**4 + z*o**2 + y*o**3 + v*o + d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1cb98 (base 16) to base 3\nAnswer: -12222101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 115.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 17. Let w = 5 + n. Solve 4*z + w = 4*q - 4, -3*q + 27 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418125 and 194375.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 5*r**2 + 9*r + 8. Determine u(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 1312 = 4*f. Let o = f - 222. Is (1 - 2)\/(-1)*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -383 in 0, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 - 11*k + 3. Let h(f) = 3*f**3 + 25*f**2 + 33*f - 7. Let n(y) = -2*h(y) - 7*o(y). Give n(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f + 53*f - 7*f + 1464 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*i**4 + 8*i**4 + 13*i**4 - 1440 - 12*i**4 + 30*i**3 - 600*i + 140*i**2.\nAnswer: -5*(i - 6)**2*(i + 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(2*l + l + 0*l)*(258*l**3 - 129*l**3 - 147*l**3) - l + 2*l**4 + l.\nAnswer: 110*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 3. Let b = -7 + 15. Let d be o(b). Let y(s) = -s**3 + 12*s**2 - 9*s - 4. Calculate the remainder when y(d) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*g = 88, -4*t - 5*g + 60 = -3*g. Let r = 25 - t. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:38 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29360429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 49 = 3*t. Is 5 a factor of (11 + -1)\/(10\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 675?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447966483?\nAnswer: 17, 313, 503, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(16\/(-12)*(-45)\/(-80)). Which is the second smallest value? (a) 2\/35 (b) 2\/5 (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 3*g - 3. Let s be x(-3). Let o be 2\/(-3) + (-8)\/s. Is 11\/o*(-6)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.6 - 12.94. Let x = -2.4 - r. Let d = 1.06 + x. Which is the nearest to -2? (a) 2 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*i - 15 + 7 + 9 as m + z*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/22 + 4758\/(-6039).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - -13) + -6 + 8 + -18 - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/2 in 0.3, 0.1, 2\/7, 155, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6224)\/(0 + (-5 - -4)). Suppose -672 = 4*m - c. Suppose -29*x + 33*x = m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -2\/5 (c) -0.1 (d) -2 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 0 - 15*r**5 - 50*r**4 + 100\/3*r**2 - 20\/3*r - 65\/3*r**3 = 0?\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/16))**38\/((k\/(k\/(k**(-8\/7)*k))*k)\/k**36) assuming k is positive.\nAnswer: k**(1569\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.324.\nAnswer: 2.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:07 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047685 and 0.19?\nAnswer: 0.00906015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6)*(-9)\/2. Which is the biggest value? (a) -1\/4 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/237?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*h**3*r + 2*h**3 - 11*h**2*r - 1074*h + 3 wrt r.\nAnswer: 111*h**3 - 11*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 41*c**2 - 1 + 1.\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2044\/(-2336))\/((-98)\/(-24))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -777 - -767. Put h, 0, 4, 5 in increasing order.\nAnswer: h, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5 + 10258*u**2 + 28227 + 72680*u**2 + 26490*u**3 - 860*u**4 + 287*u**4 + 84099*u = 0. What is u?\nAnswer: -1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 53, 137, 287, 521, 857, 1313, 1907?\nAnswer: 2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11615 - -11614. Is c at most as big as -4\/2645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259311 by -793.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684707698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(224\/(-1344)*200\/(-1))?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 756*q**2 - 1502*q - 2 wrt q?\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 10*g = 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211915620 less than 211915620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 119*q - 2198. What is b(-16)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.126257*-1.\nAnswer: 0.126257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 1 + 17. Is 15 a factor of (170\/j)\/(8\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533 (base 7) to base 14.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = l - 2. Suppose -3*v - 13 + 1 = 0, l = 3*r - 2*v. Let d be 30*(r + (-15)\/10). What is the highest common divisor of d and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 1304.7.\nAnswer: 7828.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)*1\/1. Let x be -2 - (u + -6 + 1). Solve -5 = -c - x*t, 4*t - 1 - 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5592\/4194*(-18)\/(-33).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 13 = 2*a. Let q = 15 - a. Let j be (-4 - q) + 3 + 7. What is the greatest common divisor of j and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - 54\/72.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 0)*(3 - 1 - 4) - 1 + 2 - 2)*(0*n**4 + 0*n**4 - n**4 + 2*n**4 - 2*n**4 - 2*n**4 + (2 + 0 + 0)*(-n**4 + n**3 - n**3) - 2*n**4 + n**4 + 0*n**4).\nAnswer: -54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -9. Let k(p) = -7 - 5*p - 2 + 6. Let i(m) = -m - 1. Determine w*k(s) - 4*i(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 28. Let o(y) = -8*y + 85. Let p(l) = -11*a(l) + 4*o(l). Let j be p(-6). Solve j = -f - 5*k, -3*k + 5 = -4*f + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35378\/3 - 532\/3*n - 2\/3*n**2.\nAnswer: -2*(n + 133)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 2*z - 3. Let d be s(4). Let i = d - -129. Suppose 2*o = -10 + i. Calculate the smallest common multiple of 55 and o.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127874378 to the power of 1\/3, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - (12 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11219 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*s**5 + 4388176*s**4 - 160371993454*s**3 - 6979041727916*s**2 - 3200576758824*s + 920559989808 = 0. What is s?\nAnswer: -43, -2\/3, 1\/5, 73158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Let z(c) = c**3 + 3*c**2 - 2. Let y be z(-2). Let j(r) = -2*r**2 + r**y + r**2 - r**2. Calculate g(j(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + (-4 - -6) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (77 - 45) + -59?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 23*b. Let k be u(14). Let w be (-56)\/k*3\/2. Put -1\/7, -1\/2, w in descending order.\nAnswer: w, -1\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 788 + 1812 = 0. Suppose 3*b - 178 = x. What are the prime factors of b?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 + 3*c + 2. Let j be q(1). Let h(w) = w + 1. Let u(v) = -3*v - 3. Calculate j*u(f) - 2*h(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = -211 + 155 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 8, d: 5}. Give prob of sequence ddb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*t - 30*t + 3 - 3*t**3 + 2*t**3 - 2*t**2 + 41*t as i + n*t**2 + x*t**3 + f*t and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 153*r**4 - 1293*r**3 + 6933*r**2 - 9360*r + 3876 = 0. Calculate r.\nAnswer: -38, -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/4 + q**3\/3 - q**2 + 6*q - 2565. What is l(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -391311.\nAnswer: 2\/391311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**2*u**3 + 19*l**2*u + 401*l**2 wrt u.\nAnswer: 12*l**2*u**2 + 19*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 + ((-100)\/450*15 - (-10)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -4) + -6 + -1 + 10 - -12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 64624, 129136, 193648, 258160, 322672, 387184?\n\"Answer: 64512*l + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2106.\nAnswer: -1\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -27a58544?\nAnswer: -27a58548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -5 (b) -0.39 (c) -2 (d) -0.53 (e) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csmcmoccscssocsom. What is prob of sequence smc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.489188 decades to millennia.\nAnswer: 0.01489188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20\/6893, 1\/5, -1693?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 1 - 4*l**3 + 2*l - 65*l**4 - 3 + 62*l**4 + 0*l in the form q*l**2 + s*l**3 + g*l + k*l**4 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 10*n + 10. Suppose 0 = 2*z - z + 10. What is the units digit of l(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = 4*r - 7*t - 23, -2*t + 22 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471 + 1509 + 1511 - 12*l - 4491.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04827187464 to five decimal places.\nAnswer: -0.04827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 15) to base 6\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2 + 1 + 7*h + (2*h - 3*h + 3*h)*(16 - 13 - 21).\nAnswer: -29*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167502 + 1?\nAnswer: 167503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -24*f**4\/5 - 34026*f**3 - 7231818*f**2\/5 - 18473892*f\/5 + 1014624 = 0.\nAnswer: -7046, -40, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 2*y**2 - 3*y**2 - 3)*(3*y + y - 3*y) as r*y**3 + h*y + z + j*y**2 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1250) + sqrt(1250) + -1 + sqrt(1250) + 4 + sqrt(1250))**2 - sqrt(1250)) + 0)*-5.\nAnswer: 14375*sqrt(2) + 500225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -0.05259.\nAnswer: -1.89324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 + 60*n + 3783*n**2 - 8*n - 3794*n**2 wrt n?\nAnswer: -24*n**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*b + 3*b. Let m(r) = r - 6. Let y be m(b). Factor y*q - 2\/3*q**5 + 0 + 0*q**2 + 4\/3*q**4 - 2\/3*q**3.\nAnswer: -2*q**3*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(171) - (sqrt(171) + (sqrt(171) + -2*sqrt(171) - sqrt(171)))**2) + (sqrt(171) + -1)*1) + -4.\nAnswer: -12*sqrt(19) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r + r + 3*r - 2*r + 1 - 1 + (-2*r - 2*r + 3*r)*(-4 + 2 + 1) - 2*r - 5*r + 4*r + 5*r - 4 + 4 + (59 + 15 + 4)*(-2*r - r + 2*r).\nAnswer: -79*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -0. Let u be 0 + (m - 3) - -10. Solve -3 = j - u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150214 (base 6) to base 10\nAnswer: -14338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3142353 + -33424?\nAnswer: 3104525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -203, -203, -207, -215, -227, -243, -263?\n\"Answer: -2*w**2 + 6*w - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3 + 35*d**2 + 6.\nAnswer: 6*d**2 + 70*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1133629 and 9392926?\nAnswer: 65750482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*w + 139 = -61*w + 415 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -31*i**7\/210 + i**6\/120 - i**5\/60 + 3*i**3 - 2*i**2 + 7*i. Find the third derivative of k(j) wrt j.\nAnswer: -744*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 31*c - 262. Determine i(-38).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 4*o - 1. Determine q(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/6)\/(2\/3). Let h = 0.427 - -0.073. What is the third biggest value in h, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*n + 3. Suppose 3*p - n*p = 0. Suppose -i - 8 + 28 = p. What is the remainder when i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**3 - 41*o**2 + 25*o + 7. Calculate n(7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let k(t) be the first derivative of 11*t**4\/6 - 19*t - 12. Let m(f) be the first derivative of k(f). Give z(m(u)).\nAnswer: 484*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4 + 10. Suppose -2*n = -y*b - 10 - 12, -4*n + 2*b + 42 = 0. Factor -12*a**3 + 2*a**4 + n + 16*a**2 + 12*a - 11 - 17.\nAnswer: 2*(a - 3)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 - (-1 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -0.1, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -200*w + 1602. Determine d(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = w - 109, 5*w - l - 154 = 361. Let z(q) = q**2 + 3*q - 41. Calculate the remainder when w is divided by z(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 65*f**2 - 68*f + 390. What are the prime factors of b(12)?\nAnswer: 2, 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 2, 4\/9, 6\/5, -5\/12?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78665?\nAnswer: 5, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1696695 by -1365.\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -68. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40966, -40967, -40968, -40969?\n\"Answer: -g - 40965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4150*i*s**3*z**2 + 310*i*s**3*z + 2*i*s**3 + i*s**2*z**2 + 3*i*z**2 + 2*i*z wrt z?\nAnswer: 8300*i*s**3 + 2*i*s**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vivjvbjpbvb. Give prob of picking 3 v and 1 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 48*d + 1. Suppose 410 - 110 = 30*u. What is the remainder when l(1) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18131281 is divided by 1651?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-645)\/(-774))\/((-15)\/9)*(3 - 129\/39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let g = 129 + -115. Let r(o) = -4*o - 7. Let z(f) = g*q(f) - 2*r(f). Let w(x) = x**2. Give z(w(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -4*l + 3*l. Suppose 4*z + l = -4*b, 3*b + 0*b + 2*z + 254 = 0. Is b\/(-6) - 2\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33301 + 3?\nAnswer: 33310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -8b3a8?\nAnswer: 8b3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 2*w + 1. Let x be d(-1). Let b be x - (-3 + 1) - -477. Suppose 3*v - 125 = 2*v - 5*a, -4*a = -4*v + b. Round v to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1188733 (base 10) to base 2\nAnswer: 100100010001101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 506378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 18 = 6. Calculate the remainder when 46 is divided by (s\/1)\/(12\/(-16)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*v - 69, 0 = -0*v + v + 4*h + 7. Let d = v + 26. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287875.1mg in micrograms?\nAnswer: 287875100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57162 - 33043. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. What is the units digit of (-1*c)\/((-10)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5649011359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = -3*h + 115, 2*u - 187 = -5*h. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*f - 1 = 7, 0 = 5*c + 2*f - 10. Suppose 0 = r - c*r + 279. Suppose 5*a - 5*i = 3*a + r, 10 = -2*i. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 650*c + 1980. Does 20 divide s(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5520585\/38 + 145296. Which is smaller: 16 or y?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1923.5 + 1923. What is the closest to -1 in t, -2\/5, -3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 1776 = -4*m. Let d = -1958 - -3831\/2. Find the common denominator of 0 - (m\/56)\/(-1) and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c - 9. Let d(f) = f**2 - 6*f. Let j be d(6). Calculate b(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533 - 367 = -106*x + 1756 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-1 - sqrt(1900))*-2)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*q - 8 = -2*q, -4*l - 32 = 2*q. Let p = l - -12. Factor 6*j**4 - j**3 - 2*j**4 + j + j**4 - 2*j**p + 2 - 5*j**2.\nAnswer: (j - 1)**2*(j + 1)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 1\/4, 1, -2, -277, -3.\nAnswer: -277, -14, -3, -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -187130 <= -187164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 1346354*d + 453167273329.\nAnswer: (d - 673177)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -341964 divided by 48852?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g - 2 - 5*g - 2*g**2 - 2*g + 0*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 10) + (5 + -5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 14. Let q = 1 + -10. Let b be j(q). Solve 4 = 4*l + i + 3*i, 5*l = 4*i - b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22712.\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2338 divide 4290230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -0.1, 2\/19, -2, 0.7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(9\/7))\/(k**(4\/5)\/k))\/(k\/k**8*k)**(-17))**(16\/3) assuming k is positive.\nAnswer: k**(-19056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -242113 (base 11) to base 2\nAnswer: -1011101100111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1900))*-2 + 1 - (3*sqrt(152)*2)\/(sqrt(96)\/(sqrt(60)\/sqrt(5)) + sqrt(8))) + 5.\nAnswer: -23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 37 = 2*s, 0 = 5*s - o + 2*o + 35. Let q be (-2)\/(8\/s)*24\/12. Suppose 2*t + 5 = q*c + 92, c - 226 = -5*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35474099 to the power of 1\/2, to the nearest integer?\nAnswer: 5956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0 - 7\/24*r**4 + 6*r**2 - 5\/6*r**3 + 0*r. What is the first derivative of g(i) wrt i?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -129.\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38509 divided by -2378.\nAnswer: 38509\/2378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 180840632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -20) + -11 + 46?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 14 - g**2 - 14*g - g**2. Calculate the remainder when 77 is divided by p(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 - 0.9. What is the third biggest value in c, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + 4*t. Let k(n) = 1400*n**2 - 2858*n**2 + 1489*n**2 + 21*n. Give -4*k(r) + 22*v(r).\nAnswer: 8*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*u - 4061 = -293 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 0. What are the prime factors of (-6)\/x + 120\/9?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42344428661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c + 10. Suppose c*k = -2*k - 48. Let g = 40 + k. Is 27 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**6 + 3*q**4 - 197*q**2?\nAnswer: -1080*q**3 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - s + 2. Let n(c) = 0*c + 7*c + c**2 - 7*c - 2*c**2 + 1. Give -n(f) + r(f).\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 471823 + 27800. Let v = l + -499622.9799997. Let q = v + -0.02. What is q rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25270 and 155657880?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0268144 rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/6 - 2*k + 1. Let o(f) be the first derivative of y(f). Let a be o(2). Solve -r = -6*r + 5*p - 30, -a*p + 10 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y = -6*y + 2790. Let x(p) = 2*p + 60*p**3 - 6 - 121*p**3 + 7*p**2 + y*p**3 + 13*p + 3*p**2. Determine x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6159 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8)*330\/1485.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose 0 = -d*m - 2*m + 72. Let c = 54565 + -54542. Calculate the remainder when m is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*w - 11 - 6*w**2 - 15 + w**2 + 24*w + 24*w to the form k*w + t + a*w**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3575\/520)\/((-5)\/(-4))*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 1 = 4*m, -2*m + 7 = -2*w - 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447683.5 rounded to the nearest ten thousand?\nAnswer: 2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**4\/8 - 6*z**2. Let u(s) = s**3 + 9*s**2 + 5. Let n be u(-9). Let j(c) = 0*c**2 + n*c**2 - c**2. Determine k(j(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 5. Let s = 144 - 139. Factor -s*m**5 - 22*m**4 + 51*m**4 - 19*m**4 - 5*m**f.\nAnswer: -5*m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15602627219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291717?\nAnswer: 3, 32413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11269005 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:04 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 21912*i = 21907*i - 175, -2*i - 67 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5248)\/(-60) + (-1)\/(-5). Let d = -3991\/42 + s. What is the common denominator of d and -61\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 - i - 1. What is the lowest common multiple of 570 and j(3)?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 4. Let u be 2*1\/2 - 8. What is the remainder when x(u) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 27 = -4*n. Suppose 7197 = 2*b + 3*q, -b - n*q + 3603 = -6*q. What is b rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) - (-16)\/2. Let t(l) be the third derivative of l**4\/8 - 4*l**3\/3 + 2*l**2. Let p(s) = -4*s + 12. Let y(j) = f*t(j) + 5*p(j). Determine y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + 10 + (-11730)\/(-6006) + 60\/660.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/7 + 117336*m**3\/7 - 821490*m**2\/7 - 2346808*m\/7 + 11265600\/7 = 0. What is m?\nAnswer: -58675, -4, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:02 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 69823, 139646, 209469?\n\"Answer: 69823*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38876746943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:51 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 33*c + 38*c = 25200, -2*c = 5*v - 62937. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r + 29*r - 17*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782272002 to the power of 1\/2, to the nearest integer?\nAnswer: 52747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 - (-22 + 20 + 24).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184\/27 + 148\/27. Which is the biggest value? (a) w (b) 0 (c) -1 (d) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -255. Let l = 124 - p. Let g = 166 - l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225 + 225.471. Round q to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 69 + 71 - 11*b - 137)*(-b**2 + b**2 - 3*b**2).\nAnswer: 6*b**4 + 33*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen sixteenths of a day?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 1, m: 2, q: 3, f: 4}. Give prob of sequence rff.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6509 - -1399438\/215. Let u = -597\/3440 - m. Are u and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4120 and 32360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 7856*s + 7854*s - 12, -s + 228 = -76*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -98947*t + 16820996. What is d(170)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15403267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 14 = -5*m, -3*m + 3*s + 33 - 130 + 52 = -39 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-34)\/4)*12. Let l = 9 + -17. Let c be l\/28 + (-72)\/(-7). What is the greatest common factor of f and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 0)\/(-2) - -4. Suppose -j*r - 9929 = 3*l + 18871, 0 = -5*r - l - 72000. Round r to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38094 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c + 2*c)*(-3*c - 1904 + 0*c + 941 - 74*c**2 + 951).\nAnswer: 222*c**3 + 9*c**2 + 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, t: 1}. What is prob of sequence tn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*x = -20, -5*p - 7 = -4*x + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42990, -171993, -386970, -687897, -1074750?\n\"Answer: 4*w**3 - 43011*w**2 + 2*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11494*c**3 - 1165*c**3 - 13444*c**3.\nAnswer: -26103*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 + (-193 - 11) + 127?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 15. Sort -6, m, -4 in descending order.\nAnswer: m, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 6*j = 6. Let g(m) = 21 + 9*m - 5*m + m - j*m. Calculate the lowest common multiple of 33 and g(18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -81 (b) -1 (c) -4 (d) -2 (e) 2 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 0, -5*l + 5*d = 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*c**3 - 73306827*c**2 - 111956069263518*c - 27989012734203.\nAnswer: -3*(c + 3054451)**2*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 15*x + 1347. Let w be i(-45). Let q = -118 + 597\/5. Which is the closest to q? (a) -0.4 (b) w (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q**3 + 5*q + 0*q**2 - 1\/2*q**4 - 1. Differentiate x(z) wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29543 - -29229. What is the second smallest value in -2, g, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-38)\/(-8) - 24\/32 - -8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110110, 110113, 110118, 110125, 110134, 110145, 110158?\nAnswer: 110173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*sqrt(500) - sqrt(500))**2.\nAnswer: -120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10430887.212 to the nearest 10000.\nAnswer: 10430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1000*f**2 + 82*f - 3. Calculate n(-1).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-45)\/40)\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1320154333?\nAnswer: 1320154334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/((-140)\/350).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-6)*6*48\/144*24?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*q**3 + 9185*q**2 - 1655*q + 75 = 0. What is q?\nAnswer: 1\/11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1538110 and 1480.\nAnswer: 227640280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -95. Suppose 4*l + s - 298 = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2 + 2482*o + 1122342 with respect to o.\nAnswer: 4*o + 2482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7*k - 9. What is the lowest common multiple of z(9) and -72*19\/304*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -30 + (0 - (0 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, -1, 17, 6, -573 in increasing order.\nAnswer: -573, -2, -1, 6, 17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4\/9 + 2*n**3 - 28*n**2\/9 - 8*n + 80\/9 = 0.\nAnswer: -10, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let b be y(2). Let j(m) = m**3 + 6*m**2 - 2*m - 9. Let v be j(b). Solve 2*o = 8, -v*o = 5*k - 12 - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (-2*sqrt(110) + sqrt(110) - sqrt(110))*-3 + sqrt(110))\/(sqrt(60)\/sqrt(150)) - 1*sqrt(66)\/(5*sqrt(54))*-5)**2.\nAnswer: 161051\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3777.276807 - 0.64.\nAnswer: -3777.916807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*(-2 + sqrt(245) + sqrt(245)*2) + -4)*3)**2.\nAnswer: -119286 - 4536*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*k + 313, 0*u - 5*u + 2*k + 319 = 0. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 25*h**3 - h**2 - h + 2. Let l be a(1). Solve -4*t - 17 = -l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, y: 5, l: 4, h: 2}. Give prob of picking 2 y.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2 + 183435*h - 52871390 = 0.\nAnswer: -36973, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {q: 6, j: 1, d: 4, f: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 429*a**3 + 5*a**2 - 127*a + 2. Let q(j) = 1286*j**3 + 17*j**2 - 382*j + 7. Let v(p) = -2*q(p) + 7*x(p). What is the third derivative of v(f) wrt f?\nAnswer: 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 7 + 3 + 994*v - 1.\nAnswer: 994*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011358042 rounded to 5 dps?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -104, -116?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from xyqxnxxxyxnqryyq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 3*c = -42. Let h(p) = -p**2 + 5*p + 8. Let w be h(6). Find the third derivative of 6*s**5 - w*s**c + 6*s**2 + 0*s**5 + 2*s**3 wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**1))\/p*p*p\/p**(-11)*p*(p*p**(-2\/5)*p)**(-7\/9) assuming p is positive.\nAnswer: p**(529\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -22221311?\nAnswer: 22222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -3)\/(3\/7). Suppose 2*q**4 - k*q**2 + 9*q**3 + 7*q**4 + 10*q**2 + 3*q**5 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551881257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - n)*(-n**3 + 4*n**3 - 2*n**3 + n**3 - 4*n**3 + n**3 + (3 + 1 - 2)*(4 - 4 + 2*n**3) - 7*n**3 - 2600*n - 33*n**3 + 2602*n).\nAnswer: -111*n**4 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) -2\/19 (c) 55\/61 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 + 14*h**3 - 282*h**2\/7 + 278*h\/7 - 92\/7.\nAnswer: -2*(h - 46)*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 6776394?\nAnswer: 6776398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*q + 217, -5*s + 0*s = 30. What is the remainder when 172 is divided by q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/5757740 and -93\/2?\nAnswer: 5757740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/3 + 6554*f**3 - 19658*f**2 + 58970*f\/3 - 6552.\nAnswer: -2*(f - 9828)*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/16276 and 31\/65?\nAnswer: 81380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*l - 1 + (-1 + 2*l + 1)*(0 - 1 - 1) + 2*l + 3*l - 7*l + l + l + l + (-2 + 2*l + 2)*(4 - 2 - 3) to y*l + s and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3597715 * 0.1.\nAnswer: 359771.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 - (-6588)\/66. Does 12 divide 414\/(-5)*l\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 times -70.248?\nAnswer: 9.272736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3892 by -28.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/(h*h**(3\/4)*h*h))\/(h\/(h\/h**(-1\/3))*(((h\/h**5*h*h)\/h*h*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 n when three letters picked without replacement from khxklnxny?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-10)\/4)*330\/(-99)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034457 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -81. Suppose 0 = -22*c + j*c + 526. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153614392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -26353 times -0.75\nAnswer: 19764.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52288355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1511*j**5 + 77*j**4 + 62823*j**2 + j + 2 wrt j?\nAnswer: 90660*j**2 + 1848*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 15}. Give prob of picking 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4586, 4916, 5246, 5576, 5906, 6236?\n\"Answer: 330*j + 4256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -378, -563, -746, -927, -1106, -1283?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -55. Sort c, -0.09, 0.3 in decreasing order.\nAnswer: 0.3, -0.09, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469027381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 11, 5 in ascending order.\nAnswer: -3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61579 is divided by 128.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a factor of 283610775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -436284432, -436284435, -436284438, -436284441?\n\"Answer: -3*q - 436284429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138 + 276 + 2*h + 306 to the form n + m*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.45 - -1.35. Let p = -15.65 + k. Round p to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*1\/(-12)*20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 - 218. Let b = y + 84. Calculate the least common multiple of b and 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16269, 731, -4 in increasing order.\nAnswer: -16269, -4, -2, 731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 38706 and 38703 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1421 and 8771?\nAnswer: 254359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -4)\/((-3)\/2). Suppose 0 = -2*b - n*m, 5*m - 4*m = -3*b + 6. Solve b*d = -0*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:26 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104))\/sqrt(8) + sqrt(13))**2 - (sqrt(13) + 1 + sqrt(325)).\nAnswer: -6*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 5. Suppose 3*m + 3*t + 27 = 5*m, -20 = 4*t. What is the units digit of o(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 8*f**2 - 12*f + 4. Let t be g(-6). Sort 3, -5, -2, t in increasing order.\nAnswer: -5, -2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 24 = -2*i, 2*i + 0*b = -2*b - 24. Let d = i - -10. What is the closest to -2\/3 in 0.4, d, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 517, 1023, 1835, 3055?\nAnswer: 4785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 820.793518 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, g: 1, r: 7, i: 2}. What is prob of picking 1 r and 2 i?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 461583007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 42\/5 of a millennium?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2 + 372 + 31*b**2 - 5*b - 62*b**2 - 75*b**2 wrt b?\nAnswer: -208*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082\/12 + 6\/36 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(36\/402))\/(2\/(-6)). What is the second derivative of -29*l**5 + q*l**5 - 91*l - 25*l + 3*l - 29*l**5 wrt l?\nAnswer: 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 177 = -141 + 108. What is the greatest common divisor of g and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j - 9. Let d be x(7). Suppose d*b = -5 - 0. What is the closest to -1\/2 in -1\/4, b, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 16. Let w = u + 2.2. Suppose -3*i - 4*q - 95 + 19 = 0, -3*i - 3*q = 75. Sort -0.2, i, 2\/11, w in increasing order.\nAnswer: i, -0.2, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 27*t + 330. What are the prime factors of o(22)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 1, z: 2, q: 1, u: 1, o: 1}. What is prob of sequence zu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 7. Let s be p(-5). Let x be (-16)\/4 - -91 - -1. Let c = -81 + x. Solve -w + c = s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, n: 1, a: 1, p: 3, r: 3}. Give prob of picking 1 a, 1 r, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.47 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.4. Let i = 1.6 + -1. Let z be (2\/(-308)*4)\/(46\/12558*39). Which is the second smallest value? (a) z (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*3906240.\nAnswer: -781248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5.\nAnswer: -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 45584439 and -0.03.\nAnswer: 45584438.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-230*g + 71*g - 157*g - 16*g)*(10*g**2 + 32*g**2 + 7*g**2) to x*g + p*g**2 + y + h*g**3 and give h.\nAnswer: -16268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*q**2 - 244*q**4 + 108*q**2 - 35*q + 26*q**4 wrt q?\nAnswer: -2616*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1641\/104803?\nAnswer: -1641\/104803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.75 - -1.25. Let h = 60.99998728 - a. What is h rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 3*x**2 - 3*x + 6. Let h(p) = -3*p**3 - 5*p**2 + 5*p - 11. What is 6*h(l) + 10*w(l)?\nAnswer: 2*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 202, 525, 1076, 1855?\n\"Answer: 114*c**2 - 19*c + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1141, 2289, 3437, 4585, 5733, 6881?\n\"Answer: 1148*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4817.7113 - -4818. Let z = l - 0.29. Round z to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -629*i**2 + i - i + 1252*i**2 + 981*i**2 to the form l + m*i**2 + o*i and give m.\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 1:26 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 10*t**2 + 25*t - 30 = 0. Calculate t.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 459460, 918920, 1378380?\n\"Answer: 459460*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**3\/3 + 3*m**2\/2 - 4*m - 1. Let c = 66 - 44. Suppose -r - 5 = 4*p, 5*p + c = 5*r - r. Calculate k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 1 + 15*v**3 - 4*v**2 + 3*v**2 - 3 - 16*v**3 to the form g*v**3 + c + b*v**4 + t*v + l*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 518932 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3514.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l + 125*l**2 - 3*l - 137*l**2 - 2*l. Suppose -21*a + 75 = -16*a. Let v(o) = o + 6 + 9 - a. What is z(v(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 11*x = -10*l + 7*x + 99, 56 = 3*l - x for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4796488*k**2 - 2215442?\nAnswer: -9592976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31389.\nAnswer: 3, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - 1562354 + 1562354.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1466231.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224.82004 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -65, 5, -0.3.\nAnswer: -65, -0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6 + 6*i - 24 + 8. Let o be m(4). Solve 4*v - 6 = o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 + 4)\/(-4))\/((-6)\/15*-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16158 - -16156. What is the smallest value in 5, n, -13, -0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 139?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 173 = -17*w + 18*w, 0 = -4*t + w + 682. What is the remainder when t is divided by 94?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k - 1. Let a(w) = 8*w + 4. Let p(m) = 8*m + 5. Let f(z) = 7*a(z) - 6*p(z). What is -2*f(o) + 3*v(o)?\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1112338 and 6398?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*-4)\/(6*sqrt(88)\/sqrt(11)).\nAnswer: -22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 12. Let s be d(-8). Suppose 2*y - 9 = 4*l - 31, -5*l - 5 = s*y. Let u = -0.44 - -0.24. Which is the closest to -1? (a) y (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33138535 divided by -11.\nAnswer: -33138535\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 4\/23, -168?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 12:58 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 - -8 - 0 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815 + 5369 = 253*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let u be 1\/(r\/(8571\/(-21))). Let a = u + -409. What is the third smallest value in -4, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 - 77 = -47*x - 649 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2353633 rounded to 2 dps?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 790387.\nAnswer: 31615.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = -2*q, 0 = -p - 4*q. Suppose 0 = -3*y + 6 - p. Let v(o) = 4*o - 1. What is the units digit of v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 47851.23 nanograms?\nAnswer: 0.00004785123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(98) + -2 + 2.\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19965020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101865, 101490, 101115, 100740, 100365, 99990?\nAnswer: 99615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.3, -6, 33?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1074, 1992, 2562, 2610, 1962, 444?\n\"Answer: -29*t**3 + 1121*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -0.3712014119\nAnswer: -21.6287985881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 20*c + 18. Give h(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5275481 or -1?\nAnswer: 1\/5275481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104389 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8045.752 milligrams in micrograms?\nAnswer: 8045752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**7\/210 - l**6\/25 + 3*l**5\/25 - 2*l**4\/15 + l. Solve b(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 66278831 - 150971159. Let c = l + 34064789315\/784. Let g = c + 3\/784. Calculate the common denominator of 31\/3 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*m - 1 - 4*m**3 + 27*m + 25*m + 2*m**2 to the form t*m**2 + z*m + r*m**3 + n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 divided by -1005.\nAnswer: 100\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 v when three letters picked without replacement from vnvnnvnnvnvv.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 17263650.16 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -25. Suppose -3 + b = i. Suppose i = 3*l - 1. Calculate the highest common divisor of 15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/(j*j**(-5\/4))*j)*j*j*j*j\/j**2)\/(j**(2\/9)*(j**(-32)\/j)\/j))**(-3\/14) assuming j is positive.\nAnswer: j**(-1171\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 20*z**2 + 202*z + 404. Let f be m(-2). Solve -c - f = 19*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133200112 (base 4) to base 16\nAnswer: -1f816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(5*a**3 + 9*a**3 + 4*a**3).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1894 in -3, 7, 0.4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-7) - -1) + (-36)\/(-21). Let t(i) = -31 + 13 + 18 - s*i. Let a(k) = 9*k. What is a(t(j))?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-80)\/4))\/(2\/15)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 2. Let l be 0 + (-8)\/(-28) + 7\/(441\/45). Which is the second biggest value? (a) l (b) w (c) -2\/3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = -66. Let k = d + 8. Let y = -7 - k. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 + 16 + 128*n - 104*n + 8*n**2 + 2*n**3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30925543 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -68.09941 - -68.1. Round o to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.57805cm in micrometers?\nAnswer: 905780.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 253\/(-242) + 8?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -0.09?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 0, 4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**3 - 2*t**2 + 5*t + 12. Determine v(-3).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 238*p + 13036. Give q(-55).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 - 3*r - 2. Let m be i(-2). Let d be (-1)\/((-3)\/m) + -3. Let j = 2 + 12. Solve b + b - 3*q = j, 4*q = d*b - 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 2*t + 8 = 38*q, 5*t = -2*q + 20. Solve -5*l + 4*b + 45 = 0, 3*l - 3*b - 15 - 15 = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + 5.12. Let o = 3 - 9. Which is the second biggest value? (a) f (b) -5\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -4*n**7\/7 - 41*n**6\/6 + 40*n**3\/3 + 658. Find the third derivative of r(h) wrt h.\nAnswer: -480*h**3 - 2460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33507719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u**2 - 5*u + 3. Let l be k(3). Let h be (-1)\/(-2 + 4)*l. Let o = -283 - -288. What is the highest common factor of h and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 8:43 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**3 - 66 + 16*x**3 - 1635*x**2 + 61.\nAnswer: 4*x**3 - 1635*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300220.5 litres in millilitres?\nAnswer: 300220500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + -35 - (-24 + 6)) + -19 - 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 8. Let q = 64 - t. Is 16 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.105 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*g + 1619 + 467 + 20 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - m = -303, 6*d - 5*m = 4*d + 179. Let x = -38 + d. Suppose a = -3*y + x, 3*y - 5*y = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2784 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*d**6*k - 3*d**4*k - 31*d**2*k + 4*d*k wrt d.\nAnswer: 1440*d**3*k - 72*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1594*m - 1594*m + 3192*m. Give z(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**2 - 25*p - 1. Let c be f(12). Let q be (-25)\/(-4) + c\/4. Solve 0 = -2*k + q*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqoloollllllol. What is prob of picking 2 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)\/(h*((h**(-3)\/h)\/h*h)\/h)*((h**(-3\/2)\/h)\/h)\/(h*h*h**3) assuming h is positive.\nAnswer: h**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/39 - -7\/312. Sort -0.3, -4, p, 6.2, 1 in descending order.\nAnswer: 6.2, 1, p, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y**3 + 65*y**2 + 65. Let q(i) = -i**2 - 5*i - 11. Let b(n) = n**2 + 6*n + 13. Let r(u) = 5*b(u) + 6*q(u). Give k(m) + 65*r(m).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19400 and 957200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 15\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 411?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3063*g**5 + 205215*g**4 + 3711954*g**3 + 8618136*g**2 - 12562944*g + 24576 = 0. What is g?\nAnswer: -32, -4, 2\/1021, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -39 + -20 - 13 - -3\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 5*p + 4*i, -2*p - i - 14 - 20 = 0. Let c = -14 - p. Solve 4*z + 1 = 5*h, -2*h - 3 = -z - c*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p**2 - 7. Let z(w) = 11*w**2 + 8. Give 5*r(x) + 4*z(x).\nAnswer: -11*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/3 (c) -0.28 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4 - 16. Let b(m) = -m**3 - 5*m**2 - 4*m - 4. Calculate b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((0 - 1)\/(3\/66))\/(-2) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0*i - 7*i**2 + 0*i + 8*i**2 - 1. Let h be n(-2). Suppose -2*b - 4 = -h*b. What is the greatest common factor of 36 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74554, -149079, -223590, -298081, -372546, -446979, -521374, -595725?\nAnswer: -670026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -12*z - 108. Let i be l(-10). Calculate the greatest common divisor of i and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*k - 44081796*b**2 + 4*b*k - 151858*b - 66*k + 1 wrt b.\nAnswer: -4*k - 88163592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81663*l**3 + 22560*l**2 wrt l?\nAnswer: 489978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.46, -3\/5, 1\/3, -551999 in ascending order.\nAnswer: -551999, -2, -3\/5, 1\/3, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2811 - -0.1189. What is the second smallest value in 15, n, -4\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 572, -4, -2\/13?\nAnswer: 572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -0.1788 (b) 1 (c) -2 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.195863 kilometers in nanometers?\nAnswer: 5195863000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + (-10208)\/(-80). Calculate the highest common factor of w and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5986.\nAnswer: 2, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3294 and 39933.\nAnswer: 4871826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 659425 + -175006. Let g = 215581 + h. Round g to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 15*c + 11. Let n(v) = -v. Let x(r) = b(r) - 4*n(r). Let t be x(12). Let k = t - -708. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.175 - 0.485. Let v = -32 + 32.1. What is the closest to p in -1\/4, 0.2, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2927.1186 - 2927. Which is the nearest to -0.1? (a) f (b) 3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -13. Suppose 2*u = 3*u - 19. Let j = x + u. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -4. Suppose -4*c - 5*g = -14, c - 2*c = 2*g - 5. Put k, -5, c in descending order.\nAnswer: c, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1341 + -1ff9?\nAnswer: -cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1260072 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 200513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o. Let f(r) = 2*r**2 + 38*r + 7. Give b(f(u)).\nAnswer: -4*u**2 - 76*u - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - q = -19, -3*q - 4 = f - q. Let u be ((-6)\/5)\/(f\/(-40)). Let r(o) = -o - 3. List the prime factors of r(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 3 - l**3 + 2*l**4 + 4*l**3 - 2*l**3 + 2 as c*l**3 + m*l**2 + v*l + f + t*l**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6985 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8190 divided by -1365\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 479243?\nAnswer: -479250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9504.125 centuries to months.\nAnswer: 11404950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 3, d: 5, c: 1}. Give prob of sequence ikc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - (-19)\/(-7). Suppose -10 = 25*m - 26*m. Let s(o) = 2 + 14*o - 5 - m*o + 4. Let i(q) = q. Give u*i(c) + s(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -514118014*f**3 + 166496862*f wrt f.\nAnswer: -3084708084*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 c when three letters picked without replacement from nornccmccmcnnnccc?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 125287 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.696 and 2227.9.\nAnswer: 12690.1184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10084, 9858, 9634, 9412, 9192, 8974?\nAnswer: 8758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 + 9*k. Let v be i(6). Let f(u) = -u**3 + 20*u**2 - 10*u + 11. Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 601, 603, 623, 667, 741, 851, 1003, 1203?\n\"Answer: o**3 + 3*o**2 - 14*o + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2842 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 3666 = -3374 + 7394 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18 = -5*h - 6, 0 = -3*q + h - 12. Let x be q\/(-4)*4 - 0\/(-3). Solve -3*b**x + 4*b**2 + 8 - b**2 + 3*b**2 + 4*b**3 + 12*b = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23, 21, 19, 17?\n\"Answer: -2*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8e (base 16) to base 2\nAnswer: 10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12333303212 + -3?\nAnswer: 12333303203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -4*z - 7*j, -70*z - 68 = -65*z + 2*j for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -27810000 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-36) - 5\/20. What is the closest to 2\/11 in 2\/17, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720044?\nAnswer: 2, 13, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let b(a) = -3*a**s + 3*a**2 + 3*a**2 - 2*a**2. Let t(g) = g + 4. Let u(m) = 2*m + 5. Let q(p) = 5*t(p) - 4*u(p). Give b(q(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(-1\/3)\/h)\/h)**(-2\/115))**(-3\/4)*(h\/h**(-5)*h**1)**(-1) assuming h is positive.\nAnswer: h**(-807\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 10*t**2 - 13*t + 5. Suppose -f + 3*f = 20. Let n = f - 21. What are the prime factors of w(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/15)\/((-2)\/(-20)). Let l = -6 - m. Let r = 4 + -5. Sort -5, r, l in increasing order.\nAnswer: -5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*n - 3. Find the common denominator of -4 + n*(-155)\/(-50) and 27\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d + d. Suppose -a + d*a = 268. Does 25 divide -1*((-5)\/10)\/((-2)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107.1 - -0.9. Let f = 108.00112 - q. Round f to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t + 195. Let r = -25 - t. Let m = 130 - r. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 455, 0.4, -2\/9, -7, -0.45?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382062996?\nAnswer: 2, 3, 7, 59, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 - -2036231?\nAnswer: 2036180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < -7.265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 3. Let h(n) = -n**3 - 7*n**2 + 10*n + 8. Let m be h(-8). Let o(i) = -34*i + 61*i - 29*i + 9. What is m*v(f) - 3*o(f)?\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 13) in base 6?\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2 + o. Let i(n) = 73*n**3 - 1. Let d(l) = -i(l) + 3*p(l). Is d(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1170*q - 138059. What is d(-118)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2267\/3 and 755 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 89268 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -111401133 (base 6) to base 16\nAnswer: -1f1751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 2}. Give prob of sequence pll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 times -78010?\nAnswer: 14119810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 390 + -a3807?\nAnswer: -a3447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:42 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 722445192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3645198 to the nearest integer?\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 7*b - 110. Let k be h(-6). Solve u + 18 = -k*c + 1, 15 = -5*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57710 by 3.\nAnswer: 57710\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -33*g**3 + 22*g**2 - 4. Let a(v) = -136*v**3 + 88*v**2 - 18. Give -2*a(y) + 9*p(y).\nAnswer: -25*y**3 + 22*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15785 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102967, -102942, -102917, -102892, -102867, -102842?\nAnswer: -102817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/768 - 97\/8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 12:13 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3367 - 3530 + 4793 + 2247)*(0 + 2*q + 0).\nAnswer: 13754*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + (-1 - 12\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 3*j + 8*j**2 - 8*j - 33.\nAnswer: 8*j**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14080051 + 23856576.\nAnswer: 23856575.85919949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1503 + 48f?\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -21207.593397 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(1*(-3)\/6). Let m = -58 - w. Let i be (-4)\/4*(-2)\/(m\/9). Let f(k) = 3*k - 2. Determine f(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - -6) + -23 + 18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 4. Let z be w + -1 - (-6)\/(-8). Let s = 251\/10 - 51\/2. Is s at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8990?\nAnswer: 2, 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4520 and 32600?\nAnswer: 3683800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b**2 - 6*b + 6. Let s(u) = 4*u**2 + 3*u - 12. What is the remainder when r(4) is divided by s(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {t: 1, x: 3, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 647936 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -49?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15366242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 - 33*o + 137. Let v be z(9). Solve 20 = v*s - 10*a, a + 2 = -2*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1443348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*z + 468*z - 911*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 14*a - 7592. Suppose -a = -10*x + 622. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 3. Let i(u) = -u**3 - 2*u**2 + 1. Let h be i(-3). Let t(r) = -r**2 + 9*r + 13. Let z be t(h). Let b be a(z). Solve b = -2*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152*b*p*r*z**3 + b*p*r - 5864*b*p + 4*p*r - 1609*p + 55*r*z**3 wrt b.\nAnswer: -152*p*r*z**3 + p*r - 5864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300) - -1*sqrt(3300))*-6)\/(sqrt(33)\/(sqrt(132)\/sqrt(3))).\nAnswer: -240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 21*f**2 + 24*f - 26. Let m(h) = 6*h**3 + 106*h**2 + 121*h - 130. Let k(x) = -2*m(x) + 11*z(x). What is the units digit of k(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35851 is divided by 35751.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, 25, -6322.\nAnswer: -6322, -3, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y + 19*y + (y + 3*y + 0*y)*(-3 - 4 + 4).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2. Let y(q) = -2*q**2 - 5*q + 5. Let p be (-7 + 9)\/((-1)\/2). Let x(f) = -2*f**2 - 4*f + 4. Let g(t) = p*y(t) + 5*x(t). Calculate g(k(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3045752339 to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/49)*s*s**(-11)\/s*s*s*s**(1\/12)*s*s**18)**(-35) assuming s is positive.\nAnswer: s**(-29765\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 640\/(-24) + (201 - 173) + 241\/(-183).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508 and 2896.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -228734955 divided by -2\nAnswer: 228734955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275 is divided by 1262.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*w + 70*w + 18. Let v be ((-14)\/w - -6)\/(12\/27). Let g be (18 - 0)\/(3\/2). Calculate the highest common factor of v and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/8 + (-3)\/4. Let j(v) = 0*v**2 - n*v**2 - 2*v**2. Let u(w) = -5*w**2 + 6*w + 6. Let k(l) = l**2 - l - 1. Let y(s) = 6*k(s) + u(s). Give j(y(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 + -4.43.\nAnswer: -7.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -23*m - 3. Let f(r) = -116*r - 16. Determine -3*f(k) + 16*q(k).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h\/h**6))))\/(h\/h**2))\/(h**(1\/7)\/(h\/(h*h*h**(-1)\/h))) assuming h is positive.\nAnswer: h**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*v = -20, v - 11 = -5*d + 2. Let i(w) = 3*w - 9. Let u be i(d). Suppose 0 = -u*y - 8*y + 752. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60413, -60406, -60395, -60380?\n\"Answer: 2*d**2 + d - 60416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 233769159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23241124 (base 6) to base 9\nAnswer: -1317727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24072, 48144, 72216, 96288?\n\"Answer: 24072*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2494570 divided by -80470\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3\/3 - 2*h. Let w(b) = -2*b**2 + 55*b - 55*b. What is w(p(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42224400 (base 5) to base 7.\nAnswer: 2663542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -1\/42*j**7 + 4\/45*j**6 + 0 + 1\/18*j**4 + 0*j**3 - 7\/60*j**5 - j + 0*j**2. Let b(q) = 0. Calculate q.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 37235 - 2*f - 37230 - 9*f. Let v(d) be the first derivative of -d + 1. Let t(y) = c(y) - 6*v(y). What is the first derivative of t(x) wrt x?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 382\/300425 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - -0.5. Let l = u - -3.1. Let y = 3 - l. Put -4, -0.4, y in descending order.\nAnswer: -0.4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 455.\nAnswer: 4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**7\/1680 - i**6\/720 - i**5\/240 + i**4\/48 - i**3\/2 + 2*i. Let p(x) be the second derivative of j(x). Factor p(d).\nAnswer: (d - 1)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*w + 5 = 3*w, 0 = 3*k - 2*w - 12. Suppose 2*a = -k*a - 44. Let x(m) = m**3 + 10*m**2 - 10*m + 14. Is x(a) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -37. Suppose -5*t + 64 = z*t. Which is greater: t or 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -857641 (base 9) to base 15\nAnswer: -a154d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 4. Let p(k) = -k + 1. Let b(y) = f(y) + 4*p(y). Let w = 249 - 215. Let h(g) = -8*g + w - 16*g - 34. Give b(h(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 206856.1 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 - 8*k + 17. Suppose -3*l + 20 = 5. What is the least common multiple of 6 and a(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*b - 4 + 17*b**2 + 10*b**2 - b**3 - 26*b**2 + 16*b - b**3 in the form x*b**3 + d*b**2 + y + f*b and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:40 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-17)*z\/(z**(-4\/19)*z) assuming z is positive.\nAnswer: z**(346\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21547 = -k, 5*k - 75673 - 32152 = 3*x. What are the prime factors of k?\nAnswer: 2, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - -154. Calculate the remainder when j is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/24*4\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1185609 at least as big as -1185609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 864 + 2\/3*k**4 - 576*k - 16*k**3 + 144*k**2.\nAnswer: 2*(k - 6)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*a = -a - 120, -3*a = -5*u + 142. Let n = 29 - u. Suppose 2*g - 5*p - 21 = n, 4*g - 2*p - 2 = -0*g. Let o(h) = h**2 + 2*h - 1. Determine o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 2. Suppose -u = -t*u + 2. Find the common denominator of 103\/22 and ((-79)\/(-2))\/(u - -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2808 and 262.\nAnswer: 367848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 355 + k - 2*k - 355. Let u(q) = -15*q - 2. Determine p(u(i)).\nAnswer: 15*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**4 + 5*s**3 + 2*s**2 + 5*s - 3*s + 9*s**4 + 0*s**2 to a*s + c*s**2 + j + i*s**3 + o*s**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -417022\/27 - -15448. Calculate the common denominator of -33\/7 and b.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 99. Suppose -68 - h = -3*g. Is 43 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8))**2*5.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.9 + -15.9. Let k be (-3)\/15*10\/8. What is the third biggest value in k, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 166*k - 43. Let s(a) = -84*a + 18. What is -2*b(p) - 5*s(p)?\nAnswer: 88*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -316*d**2. Let w(c) = -2*c**2 + 2. Give i(w(q)).\nAnswer: -1264*q**4 + 2528*q**2 - 1264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -1) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**5\/5 + 354*p**4\/5 + 8691*p**3\/5 + 52188*p**2\/5 - 4212*p\/5 - 275616\/5 = 0.\nAnswer: -87, -22, -8, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d. Suppose 2*x - 5*c - 70 = -55, 0 = 5*x - 6*c - 31. Let p(b) = b**3 + b**2 - 4*b. What is x*p(o) + 4*h(o)?\nAnswer: 5*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4\/9 - 16*v**3\/3 + 34*v**2 - 60*v = 0.\nAnswer: 0, 3, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Suppose 0 = f + j + j + 10, 0 = -3*f + 5*j + 14. Suppose -x + 5 = -0*x. Sort q, f, x in increasing order.\nAnswer: f, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 738580494 to the nearest 1000000.\nAnswer: 739000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 214021958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86779997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*k = 230, 926 = 5*z - 2*k - 240. Let o = z + -90. Calculate the remainder when o is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 587 + 5064. List the prime factors of v.\nAnswer: 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u**2 - 19*u - 4. Let j(c) = 35*c**2 + 77*c + 14. Determine 15*i(y) + 4*j(y).\nAnswer: 5*y**2 + 23*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = -572*t + 558*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 a, and 1 f when four letters picked without replacement from {c: 3, i: 1, a: 6, f: 2, x: 5}.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = -5*p, 58 = 5*k + p + 23. Let n(m) = -m**3 + 6*m**2 + 3*m + 2. Calculate the remainder when 57 is divided by n(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -h. Let a = 741\/1540 - -9\/140. Is a equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1059 + -1054. Let i = 2 + -1.3. Sort i, l, -1 in ascending order.\nAnswer: -1, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d - 4*d + 39*d)*(-1 + 5 - 5) - d + 0*d + 0*d + (3 - 2 - 2)*(4*d - 20 + 20).\nAnswer: -56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/6*20\/(-160). Let z be (-3)\/4*8\/9. What is the nearest to s in z, 3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -71890.0086 and 13.\nAnswer: -71877.0086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k - 24 = 0. Let r be k\/(-21) + (-298)\/(-14). Suppose 3*v + 5*i = -0*i + 21, -3*v - i + r = 0. Calculate the remainder when 18 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 + (-1209)\/(-6))\/(2\/4). What is the highest common factor of m and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 13*q + 20. Let p be w(-5). Suppose 4*y + 140 = -18*o + 20*o, -p*y = -20. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 13 (c) -7\/4 (d) -0.5 (e) -3.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 20. What is the lowest common multiple of r(12) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v + 20*v**2 - 8*v - 197*v**2 + 100 - 100 - 9*v**2 + (2 + 0 - 3)*(-4*v**2 + 0*v**2 + 3*v**2).\nAnswer: -185*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.7 + 22.7000415. What is d rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 - 71. Calculate the remainder when n is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+-3.0279592084\nAnswer: -3.0479592084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -746, -812, -912, -1046, -1214?\nAnswer: -1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1206 and 13266?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1221899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 56*j - 645. Determine d(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 392\/15 - 28\/210. Suppose q*c = 31*c - 49000000. Round c to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -1117275019.\nAnswer: -1117275018.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaahchahehhhhhek. Give prob of sequence ac.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a + 82 = 28 + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 2*a - 2. Let j be z(2). Let h = 30 + -30. Suppose -q + 4*q = h. Solve j*t - 5*t = q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) 0.0109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007577 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*q - 8 = 17, -h = 2*q - 30. Let n be (-1 - (1 + -2)) + h. Suppose 4*i = n + 12. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 46. Suppose -2*u = 2*u. Let h = 37 + -21. What is the remainder when a(u) is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -835.9067254 to 1 dp.\nAnswer: -835.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**6\/90 - k**5\/120 - k**4\/12 + 3*k. Let y(w) be the third derivative of b(w). Let s = 842 - 841. Calculate y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228103, -227952, -227801, -227650?\nAnswer: -227499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 25 + 1 = 0. Let x be 6\/9 + q\/30. Let n be (-114)\/(-90) - (-6)\/(-10). Put x, n, 4 in decreasing order.\nAnswer: 4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*s = -770*s + 39688 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = 5*v + 4*b, -5*b = -5*v - 45. Let j(r) = -r**3 + r**2 + 1. Let c(i) = 7*i**3 + 7*i + 1. Let q(p) = -c(p) - 6*j(p). Give q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -3. Let a = 3 + x. Solve -3*n = -a*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506 is divided by 751.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2167 divide 272863276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -1 - (-4020)\/67?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 807 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4003 - 966. What are the prime factors of s?\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16865 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((3*sqrt(1700) - sqrt(1700)) + sqrt(1700) - sqrt(1700)) + sqrt(1700))**2 + -5 + sqrt(612)*-3.\nAnswer: -138*sqrt(17) + 15299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**3 - 170*r**2 + 11*r - 19. Let j(s) = 7*s**3 - 171*s**2 + 13*s - 23. What is -5*j(h) + 6*p(h)?\nAnswer: h**3 - 165*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - (-1)\/1 - (14 + 91). Let i = c + 193. Calculate the highest common factor of 56 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3300 = -5*t, -t - 4*t = 3*v - 2004. Calculate the remainder when v is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2 and 17\/1044742.\nAnswer: 1044742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1251, 1675, 2097, 2517, 2935, 3351, 3765?\nAnswer: 4177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6633315*i**2 + 3*i. Let s(d) = -d. Determine p(s(z)).\nAnswer: -6633315*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**2 - 17*r**2 - 17*r**2 + 3*r + 44*r**2 to the form n + o*r**2 + b*r and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291.0374km to micrometers.\nAnswer: 291037400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 318?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - 0) - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8428*p**2\/3 - 2073292*p\/3 + 328 = 0.\nAnswer: 1\/2107, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 120*w + 14696. Calculate s(-122).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-60))\/(2\/(1*-4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 170 = 155 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + 3 - 12*g**2 - 7 + 2.\nAnswer: -22*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246355 and 18415.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u. Let b(g) = 5 - 7 + g**2 + 2 - 5*g**2. Calculate b(p(z)).\nAnswer: -1156*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 163526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*w + 8. Suppose -5*g = -2*j + 19, 5*j - 4*j + w*g = -4. Suppose 2*d - 24 = -c, -2*d + j = -d - 2*c. What is the lowest common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-15) + 28\/5. Suppose 10*m - 40 = p*m. Let 0 - 14\/3*a**3 - m*a**2 + 8\/3*a = 0. Calculate a.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1745712273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:43 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94.1 * 0.5.\nAnswer: 47.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 3*k**2 - 2*k - 2. Calculate the lowest common multiple of (6\/(-15))\/(2\/(-10)) and b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-9) - 4\/6. Let v be (6 + x)*(-32)\/10. What is the units digit of ((-26)\/8)\/(4\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21311 (base 4) to base 9\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 5101*n - 237809. Determine v(-48).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25178421 and 732?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 12, 35, 78, 147, 248, 387, 570?\n\"Answer: z**3 + z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(2\/(-6) - (-10)\/(-60)). Suppose -18394 = -x*c - 6*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9964, -17607, -25264, -32941, -40644?\nAnswer: -48379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 38 - 12. Suppose 2 = 2*i - g. Calculate the remainder when (94\/3)\/(i\/9) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 - 156 - (-1 + -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/2072*-63*35\/(-630)?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 1. Let d be s(-1). Let m(w) = -w - 1. Let g(l) = 14*l + 13. Let t(q) = -6*g(q) - 78*m(q). Let j(u) = -2*u - 4*u + u. What is d*t(c) + 5*j(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -32. Let c be y\/5 + (-1)\/5. Let h be ((-49)\/(-147))\/(1\/15). Sort -5, h, c in decreasing order.\nAnswer: h, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -988980 to the nearest 10000.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 68925 divided by -2757\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75.3 and -16780.\nAnswer: 1263534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 308, 371, 460, 587, 764, 1003, 1316, 1715?\n\"Answer: 2*o**3 + o**2 + 46*o + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*d + 2*d. Suppose -c - 1387 = -1392. Solve -2*t = 5*s - 4*t + 4, 5*t = c*s + d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 5*k - 5, -4*d + 5*k = 7. Let q(b) = 6*b - 6*b - 4 + 8*b + 5. What is the remainder when q(d) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 824, 941, 1062, 1187?\n\"Answer: 2*x**2 + 111*x + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 212636.\nAnswer: 212636.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.70483 months in decades?\nAnswer: 0.87254025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*v**2 - 25*v**2 + 4*v**3 + 3*v**2 + 8*v**2 to n + p*v**3 + b*v + y*v**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.590008 - 0.59. Round u to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 616 (base 13) to base 10\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 241, 500, 851, 1294, 1829?\n\"Answer: 46*l**2 + 29*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.3. Let b = -0.7 + j. What is the second smallest value in -1, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from sssfssfsfss?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 - 28*r - 9. Let q be n(6). Let g(h) = 12*h - 25 - 22 - 29 + q. Let m(v) = -2*v. What is m(g(s))?\nAnswer: -24*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddarrxurazr. What is prob of sequence rdz?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.36576l?\nAnswer: 56365.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011 + -123?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.81 times 8.2?\nAnswer: 39.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 9*m**2 - 14*m**2 - 2 - 21*m**2.\nAnswer: -39*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000960353039 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*h)*(-1 + 2 + 0) + (0*h + 0*h - 11*h)*(-2 + 1 - 1) to the form j*h + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = k - 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 10*s**2 - 8*s - 18. Let h be l(9). Let o be (-6)\/h*(-117)\/(-2). Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6110924 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31*5\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 6*a - 14. Suppose 5*n + 2*z + a = 4, -3*z = 12. Suppose -2*h - 4*m = 3*h - 52, -5*h + n*m + 64 = 0. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*b - 13. Suppose -7*n + 3*n = 5*z - 36, 4*z - 32 = -4*n. Let r be b\/n*0\/10. Is r bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.28 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:31 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 18. What is the lowest common multiple of g(6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*k - 6 = -m - 256*k, 4*m + 92 = -13*k for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:41 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s - 36*s - 25*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005613 is divided by 5747.\nAnswer: 5635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 122 - 57 - 9*j - 939*j**2.\nAnswer: -939*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -12*c**5 - 16096*c**4 - 5392156*c**3 + 3601928*c**2 = 0.\nAnswer: -671, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*q + 12, 10*q - 12*q = 2*t - 6. Solve -q*v - 15 = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(4*g - 3*g + g) + 4*g + 60*g - 519*g + (-1 - 2 + 2)*(3*g + 0*g - 6*g).\nAnswer: -454*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55847\/20 + -2795. What is the common denominator of 83\/10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/41 + -91\/205. Which is the third biggest value? (a) -0.4 (b) -2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 6152 = 18988 + 95640. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 - z**2 - 1466*z - 8665. Calculate g(-6).\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 9*o - 3. Let s be y(7). Is 36 a factor of -6*(s\/(-2))\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*b - 4*p - 6, 0 = 3*b + 2*p + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13\/(5 + 256\/(-52)) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdaa when four letters picked without replacement from {a: 2, h: 6, d: 1, x: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -817 in 1\/4, -0.1, 749, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + 0*g + 9*g)*(3*g - 7*g - g) + 4*g**2 - g**2 - 2*g**2 + (-6*g + 4*g + 4*g)*(0 + g + 0) + 2*g**2 + 0*g**2 - 3*g**2)*(2*g**2 + 0*g**2 - 3*g**2).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 3:51 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3917 = -2*t + 5*s + 3985, 5*t = 2*t + 7*s + 96 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 5*q + 6. Let o be h(5). Suppose 5*d - o - 35 = 4*x, 3*d = -2*x + 7. Let m = 26 - d. Calculate the highest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**2*v**3 + 1069*b**2*v + 2*b*v**2 + 1644*v**3 wrt v.\nAnswer: -30*b**2 + 9864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 55, -1, 5.1, 5 in increasing order.\nAnswer: -1, 3, 5, 5.1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 744533382 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560 divided by 520?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:06 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425 (base 12) to base 3.\nAnswer: -211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 115, 257, 457, 715?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -t + 2, 3*y = -3*t + 11 + 1. Suppose 13 = t*n - 12. Let x(w) = -n*w - 2*w + 5*w. Let b(d) = 9*d. What is b(x(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/3*66\/(-44). Solve -n*f + 22 = -15*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/7401 and -97\/156.\nAnswer: 384852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009350833 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*0\/(-14). Suppose 2*s = -5*l + 169, z = -3*l - 2*s + s + 101. Let m be l\/(-55)*1*5 + -2. Put m, 10, 5 in increasing order.\nAnswer: m, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 11*u + 9. Let t(j) = j**2 + 6*j + 5. Suppose -20 = -2*h - 2*h. Let k(b) = h*t(b) - 3*r(b). Determine s so that k(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:10 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -176*l**3 + l + 3. Is r(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134816 is divided by 527.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*l - 25, -4*j + 40 = 5*l - 2*l. Suppose -4*n + 6*n = -28. Let i be n\/4*l\/(-21). Solve k = 0, -5*c - k = i*k - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 19915678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/42 + 1)\/(4\/182)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 222\/(73704\/(-2905))*2*2\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -14 (c) -1\/6 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196078*u**5 + 39*u**4 + u**3 - 399237*u**2 + 16*u?\nAnswer: -11764680*u**2 + 936*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 6323, 1\/5, 0.5 in decreasing order.\nAnswer: 6323, 4, 0.5, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1709 - 0.134. What is q rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -125*f + 2077. Determine b(17).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(19) - ((sqrt(76)*3 - sqrt(76)) + sqrt(76))\/sqrt(4))**2 + 3) + -5.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10 = -2*y - 12, -5*y = -j. Let b(r) = -12*r + 20. Let t(x) = -1. Let u(f) = y*b(f) - 3*t(f). Is u(8) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161772 divided by 1.\nAnswer: -161772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i**2 + 9*i - 4. Let k(v) = -3*v - 2. What is -4*k(j) + 2*t(j)?\nAnswer: 32*j**2 + 30*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 15*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-1 + 5)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2565435*n**5 + 2*n**4 + 8*n**3 - 5862*n**2 + 13085 wrt n.\nAnswer: -153926100*n**2 + 48*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/21))**31\/(z\/(z*z**(4\/15))*z\/(z**(-2\/81)*z)) assuming z is positive.\nAnswer: z**(9056\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 8*w**2 - 90*w + 795. Determine k(9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3907130 is divided by 2316?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1920)*-1*-5 + sqrt(1920) + sqrt(1920)*2*-1)\/(sqrt(18)\/sqrt(3)*-2 + (sqrt(30)\/sqrt(5) - sqrt(6))*6))**2.\nAnswer: -7680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 65 - 245 = 0. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, t: 9}. What is prob of sequence kttt?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -625*n + 631*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b - 15 = 0. Let x be ((-27)\/6)\/b*4. Let z(c) = 4*c**2 + 3*c + 3. Let a(k) = 9*k**2 + 7*k + 7. Give x*a(m) - 14*z(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25641 or -76921\/3?\nAnswer: -76921\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 67894 divided by -5\nAnswer: -67894\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 21*j**2 + j - 18. Let m(w) = -w**2 - 6. Let t(c) = 2*f(c) - 6*m(c). Let a(b) = -3*b + 0*b + b. Determine a(t(u)).\nAnswer: -96*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88348.\nAnswer: 2, 13, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74158079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00081 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**4 + 412*z**3 + 187*z**2 wrt z.\nAnswer: -48*z + 2472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 17*f**2 - 14*f + 14. Suppose -c - 65 = -57. Let b(d) = 6*d**2 - 5*d + 5. Calculate c*b(l) + 3*m(l).\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 4:08 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/7 + 12640*p\/7 - 12638\/7 = 0. Calculate p.\nAnswer: 1, 6319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 282256 + 96985241.\nAnswer: 97267497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - j + 15, 0 = 3*r + 3*j - 1 + 4. Suppose 40 = r*t - 0*t. Let q(b) = -5*b - 1 + 5*b + t*b**2 - 9*b**2. Give q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3722.8845 to the nearest 10.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*q - 480 - 336 = 273*q for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**5 + 19772*w**4 - 39636*w**3 - 375740*w**2 + 395600*w = 0.\nAnswer: -4945, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 >= 244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 102774 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 522853?\nAnswer: -522863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from qoioniqoonq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*w*w**(-6))*w**(-2)*w assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**5\/30 + 2*k**4\/3 + 13*k**3\/6 + 512*k**2. Calculate a(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 6*j**2 + 22. Suppose -4*y = 5*f, 3*y + 4*f - 4 + 3 = 0. Calculate the remainder when l(y) is divided by 2\/(-9) - (-454)\/18.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 67 (b) 11 (c) 829 (d) -5 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369934*p**2 + 282*p - 282*p.\nAnswer: 369934*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = -4*k + 240. Put -116, k, 0 in ascending order.\nAnswer: -116, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 504*w - 63504.\nAnswer: -(w - 252)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5*-1)\/((-2)\/6). Suppose -6*t - 18 = -5*z - 10*t, t = z + 9. Put z, i, -3 in descending order.\nAnswer: i, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 11*r**2 - 12*r + 18. Let o be j(12). Let x = -7 + o. What is the remainder when 21 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13226*k + 15658*k = -12160 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 11*k**2 + 12*k - 22. Let u(d) be the first derivative of d**3 - 2*d - 2. Let n be u(2). Let o be c(n). Which is greater: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 9*a + 9. Let p(c) = -c**2 - 4*c - 4. Let l(h) = 4*i(h) + 9*p(h). Let f(s) = 4*s. What is f(l(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/4 + a**3 - 9*a**2\/2 - 4*a. Determine l, given that m(l) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 88945.67 years?\nAnswer: 889.4567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2*r - 2 - 4.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20366 and 176429460.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2075 + 2027 = -6*u. Let q(s) be the first derivative of 3\/4*s**4 + u*s**2 + 5*s**3 + 12*s + 1. Factor q(h).\nAnswer: 3*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19617304 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 8*u = 0. Factor -8\/7*b**2 - 2\/7*b**4 + u*b - 8\/7*b**3 + 0.\nAnswer: -2*b**2*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 0.9. Let h = 59.29 + -59.79. Put s, -2\/5, h in decreasing order.\nAnswer: s, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 + 23*p**3\/2 + 55*p**2\/4 - 91*p - 141.\nAnswer: -(p - 47)*(p - 3)*(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 90 = 2*o, h = -2*o - o + 33. Suppose j - h = -21. Suppose 8*p = j*f + 3*p - 12, -5*p - 16 = f. Which is smaller: 4\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275118575 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 95, 3 in descending order.\nAnswer: 95, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1)\/sqrt(3) - (sqrt(468)\/(3*sqrt(12)) - sqrt(39) - sqrt(39)))\/(-2*(sqrt(3) + (-1*sqrt(3) - sqrt(3))) + sqrt(21)\/(3*sqrt(7) - sqrt(7))).\nAnswer: 4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8913 + 213 = 338*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 10*p**2 - 11*p - 3. Let x be w(9). Let g = x - -59. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {m: 5, e: 1, p: 2, d: 6, j: 5, z: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10321 + -3?\nAnswer: 10313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = -2*b, 3*f - 3*b + 12 = -0*b. Let u = 10 + f. Let q be 6\/(-4) + 21\/6. Solve z = 5*v + u + 2, -5*z = 3*v - q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -122? (a) -1\/3 (b) 23 (c) 2 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(0 - 2*y**3 + 0) + 5*y**3 - 4*y**3 + y**3 + (11 - 11 - 2*y**2)*(-1 + 1 - 2*y) + 6*y**3 - 2*y**3 + 0*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191 - 113. Suppose 2*h - 120 = 7*h. Let b = h + g. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43291491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -542*v + 208681. Determine u(385).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 12 = 0, 2*p + 4278068 - 4278100 = 8*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 4*k + 4. Let i(g) = -4*g**2 + 120 - 9*g - 111 + 5*g**2. Let o = -43 + 39. Calculate o*i(q) + 9*b(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*b + 542*b + 37596 = -622*b - 575*b for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-70))\/((-6)\/(-30)). Let y = v - 55\/84. Sort -5, 5, y in increasing order.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.81 (b) 0.5 (c) 13 (d) -2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 1, -4\/3, 0.1, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/42 + 4\/21. What is the nearest to 1\/5 in q, -1\/7, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*j + 224, -5*j + 0*j = -5*d - 320. Let s be (-1 - -4)*(-80)\/d. Solve s*i - 1 = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 8*c**2 - 6*c + 2. Let y be n(5). Let r = y + -31. Suppose 0 = 4*x + r - 192. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 30. Let a = -30 + -10. Let l = -36 - a. Solve -r + l*r - c = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 + 8\/(-8) - 0 is divided by 78?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (327\/4)\/((-15)\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-10 + (0 - ((-11 - -6) + 7))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftmymqdtq. Give prob of sequence yf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1)*y)**12)**(-4\/7) assuming y is positive.\nAnswer: y**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**9\/4536 + l**8\/840 - 17*l**3\/6 + 23*l**2. Let h(d) be the first derivative of t(d). Factor h(z).\nAnswer: -2*z**4*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 30 = -4*s - c, -4*s + 56 = 5*c. What is the highest common factor of s and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 - 0.02. Suppose -1 = -5*i + 3*n + 6, 4*i = -n - 8. Let o = 152 - 151.8. What is the nearest to i in g, o, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 5075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15 - (-51)\/(-60)*-2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.212 to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -19*b + 9*b + 7*b - 1046 + 1016 + 5*b. Let z(g) = 7*g**2 + 6*g. Let f(x) = x**2 + x. Let j(a) = 6*f(a) - z(a). What is j(h(r))?\nAnswer: -4*r**2 + 120*r - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*l - 78. Suppose -f + 2*x = -6*f - 79, 4*x = 3*f + l. Let q = f - -25. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906 and 291430.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -c51 (base 13) to base 4\nAnswer: -200232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3946 - -77063. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 8248*h + 17007376.\nAnswer: (h + 4124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 74, 8, -41 in increasing order.\nAnswer: -41, 5, 8, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 0, -4, -9.\nAnswer: -9, -6, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -105 (b) -0.3 (c) -1\/834\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22314 - -22833. Calculate the remainder when o is divided by 137.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) 9 (c) -2\/13 (d) 0.1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 8:59 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.27092 - -193.27092. Which is bigger: 0.03 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r - 4*i, 5*i - 5 = -3*r + r. Let j(c) = 4*c**2 - c - 2. Let m(n) = -n**2 + 1. Let a(w) = -j(w) - 3*m(w). What is a(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 15\/2. Let a(i) be the second derivative of 0 + 0*i**3 + 2*i + 0*i**4 - 1\/10*i**5 - x*i**2. Differentiate a(w) wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 1. Suppose -27*j - 70 = -20*j. Let g(w) = w**2 + 14*w + 36. Let v be g(j). Give z(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13399218 to the nearest integer?\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + 3*c)*(-10*c + 9*c + 19*c).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Let c(b) = -b**3 + 3*b + 3. Suppose -3 = 2*s + 3. Let r(g) = 3*g + 2. Let z(p) = k*c(p) + s*r(p). Find the second derivative of z(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b - 19*b + 5*b - 2924 - 4*b + 11*b as u + p*b and give u.\nAnswer: -2924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-35) - (-2)\/10. Let d be 10\/(-15)*(-3)\/(-2). Let l = d + 0. Is c at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 + -62.32. Sort -1, u, -2\/7 in descending order.\nAnswer: -2\/7, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10100*q**3 + 636*q**2 + q + 4 wrt q.\nAnswer: 60600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(891) + -3 + sqrt(891))**2 + -3)*6.\nAnswer: -648*sqrt(11) + 21416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -35. Solve 0 = 2*h + w + 1, 2*h + 5*w - n - 8 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.3, -5, 1\/4, 102\/7 in decreasing order.\nAnswer: 102\/7, 0.3, 1\/4, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/5 + 1818*j**3\/5 + 922473*j**2\/5 + 80502268*j\/5 - 3581305728\/5 = 0. What is j?\nAnswer: -847, -156, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faffxfxfxffaxtf. What is prob of sequence aff?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 - 42515?\nAnswer: -42244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d703 (base 14) in base 5?\nAnswer: 22100321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t**3 + 3*t**2 - t. Let h = 22 + -20. Let a be k(h). Let n = a + -133. What is the highest common factor of n and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 5445*o + 665850.\nAnswer: -3*(o - 1930)*(o + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, q: 7}. Give prob of sequence hhh.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114*s + 66*s - 122*s)*(4*s + 2*s - 5*s) to the form f*s + a*s**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*o - 273 = 2651 - 1064 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 8) to base 11\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + (4 + 0 - -2 - (-16 + 13) - 10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**4\/24 - 19*a**3\/6 + 42*a**2. Let f be h(19). Suppose f = -3*n - 2*i + 15137, 2*n + i = 4*i + 10087. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 9051*l + 6867180.\nAnswer: -3*(l - 628)*(l + 3645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 620714, 620707, 620694, 620675?\n\"Answer: -3*y**2 + 2*y + 620715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2254 = 3*i + 2*p, 0 = -5*i + 2*i - p + 2252. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 - 20?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 + 154\/(-5)*((-2280)\/(-64))\/57\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000647806529 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 204?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Let v(b) = 20*b + 15. Let d(x) = -15*l(x) + v(x). Suppose 3*m = -2*g - 2*g + 7, 5*g - 3*m = 2. Let o(i) = i + g - 1. Calculate o(d(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + -3063bc?\nAnswer: -306412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(7))*-2)**2 - 4*(sqrt(7) + 1).\nAnswer: -4*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/2 + j**4\/2 + 3*j**3\/2 - j**2\/2 - j = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 14*a - 20. Give h(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - 2*sqrt(1539)) + 4 + (sqrt(57)\/sqrt(3)*-5 - sqrt(76)\/(sqrt(12)\/sqrt(3))).\nAnswer: -15*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 4. Let v be c(2). Suppose 3*g = -v + 22. Solve g*t = 2*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73 - 3*12\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 11, -0.07, 13, -2\/5, -12\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 115 (b) 5.6 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 2*g - 3 = 0, 5*b - 3*g - 4 = 7. Let v(i) be the third derivative of 13*i**5\/12 + i**4\/24 - i**3\/3 + i**2. List the prime factors of v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 40 = 6*w. Suppose 5*z = 2*t + 10, -t - 5 = -3*z + 2. Suppose z*u + w = -2*g, u = -2*g - 2*u - 3. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*y + 4*p, 4*p = -2*y - 24 - 28. Find the common denominator of (37\/(-14) - -1) + 0 and (y - -20) + (-133)\/16 + 1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*l + 0)*(-43 + 106 + 53)*(2 + 4 - 4).\nAnswer: -464*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/((-76)\/(-72) + -1). Let z be (-32)\/264*6\/p*6. Factor 50\/11 + z*c**2 + 20\/11*c.\nAnswer: 2*(c + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 37. Let a = -6604 + 6586. Calculate g(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 + 10*g + 21. Is t(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let r(d) = -18*d + 28*d - 78*d + d. Give c(r(k)).\nAnswer: -134*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79428, 79337, 79246?\nAnswer: 79155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 86*s - 87.\nAnswer: (s - 87)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*s + 41 = 26, 0 = 4*w + 2*s - 12. Solve 2*t - 2*o = -10, 0 = -2*o - w*o + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -159*t - 8 + t**2 + 159*t in the form d + o*t**2 + k*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Let u be -2*d\/(-3)*-18. Suppose 4*b + 2*j - 161 = 135, -4*j - 344 = -5*b. Calculate the greatest common factor of u and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + h**2 + 6*h**2 + 5*h**2 - 14*h**2.\nAnswer: -2*h**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 122*o + 1 - 62*o - 61*o + 12.\nAnswer: -o + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*j = -8, 3*j + 196 = -5*w + 228. Calculate the remainder when 807 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -476*a**4 + 4830*a**2 + 44031570?\nAnswer: -1904*a**3 + 9660*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -99. List the prime factors of 66 + 1\/g - (14 + -14).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242408 divided by 242408\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1230)\/37925*3\/(-9)*2)\/(6\/(-15)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/98)\/((-2)\/(-14)). Let p(j) = -j - 4. Determine p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 14*c**2 + 11*c - 55. Let t be r(-15). Sort 1, -1, t, -2 in increasing order.\nAnswer: -2, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:13 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 11*s - 12. Let i be d(-8). Let j be (-1*46 - 0)*-1. Let r = j - i. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i - 3*i + 5*i)*(-45 + 45 - 9*i) in the form h*i**2 + l + p*i and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*n**2 + 1\/2*n**4 + 0 + 6*n**3 - 11*n.\nAnswer: n*(n - 1)*(n + 2)*(n + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 35. Let h(c) = -140*c - 1. Let g(t) = 838*t - 12. Let y(n) = g(n) + 6*h(n). Determine 5*y(u) - 3*z(u).\nAnswer: 2*u + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Suppose 2*s + s = 84. Let v(p) = 19*p**2 - s*p**2 + 11*p**2. What is l(v(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -486722.8734991 - 1.2?\nAnswer: -486724.0734991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 + 1 + 12 + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10088, -20175, -30244, -40289, -50304, -60283, -70220?\nAnswer: -80109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-9 - 16) + -18 - (3 - 14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12*l**2 - 427*l - 111. Let u(i) = 2*i. Determine w(u(t)).\nAnswer: -48*t**2 - 854*t - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, z: 2}. Give prob of picking 1 s and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 900\/(-675)*9\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 17*q**2 + 1. Give n(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1183, -632, -83, 464, 1009, 1552, 2093?\nAnswer: 2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 + 42*a - 88 = 0 for a.\nAnswer: -44, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 140 + 49. Let w = -531 + 538. Calculate the highest common divisor of y and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-47)\/4)\/((-1)\/4). Let u = -4 + l. Let h = -68370 + 68382. What is the remainder when u is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152.31 or 4615?\nAnswer: 4615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6582.0678 - 0.035\nAnswer: 6582.0328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 839410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 4*q - 8. Let s be f(-6). Let u be 210\/9 - s\/(-6). What is the greatest common divisor of u and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - c - 3*c - 17, 0 = s + 2*s - 127*c + 120*c - 32 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1. Suppose b = -4*b - 25. Let j(v) = v - 7. Suppose 3*i + 2*q + 4 = i, 5*i = 2*q + 11. What is b*g(h) + i*j(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8890101 and 864.\nAnswer: 284483232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b**3 + 170*b**2 - 596*b - 8719. Calculate p(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 1. Suppose -m*q + 20 = 2*p, -q - 3 = -4*q. What is the remainder when 17 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 651 and 21?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12433*f**2 - 13653?\nAnswer: 24866*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5798465 and 424?\nAnswer: 46387720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10009 is divided by 165?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-1 + (sqrt(112)*-4 - sqrt(7))**2 + sqrt(343) + -3*(sqrt(343) + sqrt(343)*2))*-2.\nAnswer: -4046 + 124*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-204)\/10)\/(7 - (-222)\/(-30)). Let b = x + -17. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268731812 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 38100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, h: 5}. Give prob of sequence hha.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 241591213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 65?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -2*r**5\/15 + 3*r**3\/2 - 6*r**2. Find the first derivative of l(i) wrt i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629678495?\nAnswer: 5, 125935699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 129. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-4) - (-4 + (4 - 2)). Solve h = 2*u - v, 5*u = 13 + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 l, and 1 g when three letters picked without replacement from {l: 1, i: 2, v: 1, g: 1, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {d: 2, z: 2, b: 1, h: 1, e: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oljbvbvs. Give prob of sequence sj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 + 0 - 0) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2166 and -5\/2166?\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1511 from -2.\nAnswer: -2.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/136 - -305\/1496. What is the nearest to 5 in 1, 0.2, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475217299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1071032*h*p + 601157*p wrt h?\nAnswer: 1071032*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2031434004 + 200?\nAnswer: 2031434204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m)**(2\/29)\/(m**(3\/4)\/m*(m**(-6\/11)*m)\/m) assuming m is positive.\nAnswer: m**(927\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0417 - 0.04170614. Round k to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-105) + (-6)\/(-45)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/3 (b) 4 (c) -5 (d) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 12. Let j be 1\/2*(q + 0). Sort 4, -2, j in descending order.\nAnswer: 4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/15227740 and 62\/3135.\nAnswer: 45683220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 10) to base 9\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207177274 to the power of 1\/2, to the nearest integer?\nAnswer: 14394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from vewewevevereeewvrrr.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 (base 14) in base 10?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*g - 17 + 228, 363 = -5*g - t. Let o = g + 33. Let q be (-12)\/(-36) + o\/(-6). What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 172, 391, 700, 1099, 1588?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - (-2)\/16)*-65 and -11\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130.6685751 + 8.14.\nAnswer: -122.5285751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, f: 5, c: 6, n: 3}. What is prob of sequence sf?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 1. Let s(i) = -4*i + 4. Let f(t) = 7*c(t) + 2*s(t). Let w(y) = y - 1. Let d(u) = -37*u**2 + 140*u - 129. Let v be d(2). What is v*w(p) + 4*f(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270 (base 9) to base 7.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -61*b + 1234. Let c be (-1 - -2)\/(2\/12). Let t = 6 + c. What is the least common multiple of s(20) and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50292720 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m - 42 + 31*m + 42. Let v(f) = 2*f. Calculate v(y(k)).\nAnswer: 78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 20*x)*(-x + 0*x + 2*x)*(-1 + 3 + x - 3*x) to n*x**3 + d*x**2 + p + s*x and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -562?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) -1 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23708 in -4, -1\/2, -0.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 7*k + 4. Let s(b) = -b**2 + 10*b - 15. Suppose -115 = -6*n - 73. Let t be s(n). Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 669 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7569848 divided by 26468\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65714073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:54 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 463408128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5296 - 10602 + 3*l - 29*l + 624*l + 5306.\nAnswer: 598*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y**2)*((0*y + y - 3*y)*(3 - 2*y - 3) - 52*y**2 - 390*y + 390*y).\nAnswer: -96*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140000317 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + c**2 + 6*c**2 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (10 - 494\/36))*-2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32182 + 3126. Does 265 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v + 4*g + 52, 5*g = -25. Let s(o) = 2*o + 14. Let x be (-39)\/7 + (-4)\/(-7). What is the remainder when v is divided by s(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/213900 and -73\/14250.\nAnswer: 20320500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 6. Let f = -28 - c. Suppose f*j - 43 = 83. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 3. Let c = 3.99999909 + x. Round c to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 721*1.32.\nAnswer: 951.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22500, 89942, 202346, 359712, 562040, 809330, 1101582?\nAnswer: 1438796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5846 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 + 93*z**4 + 10 + 10 + 5*z**6 - 14 + 15 wrt z.\nAnswer: 600*z**3 + 2232*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/13 or 204564?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*v**2 + 930*v**2 + 415*v**2.\nAnswer: 1077*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**5 - 5*c**5 + c**5)*(0 + 20 + 2 - 5) + 7*c**5 + 2*c**5 - c**5 + 2*c**5 - 5*c**5 + 2*c**5 + (3*c**4 - c**4 - c**4)*(-2*c + 0*c + c).\nAnswer: -62*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 389477 to the power of 1\/2, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 242 - 30 = 0. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by -15361.\nAnswer: 81\/15361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/424028000 and 9\/212014000?\nAnswer: 424028000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 5*l**7\/14 - 22*l**6\/15 + 2*l**5 - l**4\/2 - 7*l**3\/6 + l**2 - 7*l. Factor t(a).\nAnswer: (a - 1)**3*(3*a - 1)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -416.997 + 423. Let s = 120 + -126. Let y = s + f. What is y rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 37*z. Let x(n) = 7*n. Let q(w) = -22*x(w) + 4*y(w). Let l(s) = -2*s - 2*s + s. Calculate l(q(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-84 - -87)\/(1\/((-10274)\/(-6)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 707100*m*q**3 + 2*m*q**2 - 120*m*q + m + 10*q + 12 wrt q?\nAnswer: 4242600*m*q + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1395 and 1710?\nAnswer: 53010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/5 + 432*z**2\/5 + 21018*z\/5 + 295988\/5 = 0.\nAnswer: -154, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 4249.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6))**(-7\/3)*j\/j**(12\/13)*j*j\/(j\/(j**(-2\/37)\/j)))**(-32) assuming j is positive.\nAnswer: j**(-215840\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2. Let w(k) = -k**2 - 7*k**2 + 6*k**2. Determine w(l(v)).\nAnswer: -98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 4*n - 27, -2*n + 3*b + 15 = 0. Solve n = -2*o - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.736 - -33.9. Let l = k - 0.364. What is the nearest to 0 in 3, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 37. Let v = -1 + y. Calculate the remainder when -4*3\/(-24) + 66\/4 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667590581 to the power of 1\/3, to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + (-9 - -85) + -1 + 3 + 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 - 1279 = 148*i + 1968 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4752, 5, -5 in descending order.\nAnswer: 4752, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 771?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18621539*x**2 + 76*x - 90*x + 18621550*x**2.\nAnswer: 11*x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00309427 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -v + 3*c + 14, -16 = -4*c. Suppose -5*w = 3*g - 16 - v, 3*w + 4*g - 32 = 0. Solve 4*h + 4 = w*l, -2*h + 2 = 2*l + h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106 + 282083?\nAnswer: 281876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1470)\/(-20))\/(3\/1)*4\/2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 16 = 4*p + 2*n, 2*p - 8 = n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 340 - 337. What is the second derivative of 15*w**3 - 19*w + 219*w**r + 7 + 24*w + 19 wrt w?\nAnswer: 1404*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(4*5\/(-100)*5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.632 + 2.532. Let p = -2 + 5. What is the nearest to y in p, -7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -741027*h**2 - 37887304*h - 1452829456\/3.\nAnswer: -(1491*h + 38116)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0405 * 0.5\nAnswer: 0.02025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 + 14.656312674019.\nAnswer: 16.856312674019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 10) to base 6\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197149\/16290 + -4\/1629. What is the common denominator of ((-6)\/(-50)*-62)\/((-8)\/(-10)) and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 9:21 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70694.\nAnswer: 2, 13, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1557 and 16427371.943?\nAnswer: 16425814.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q - 52*q = 1090. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 48*n + 12. What is the least common multiple of v(-23) and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -473.1 and 4?\nAnswer: 477.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 5 - (-5 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612099.\nAnswer: 7, 373157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 5. Let k(v) = 51 + 32*v + 41*v - 43*v. Calculate 2*k(t) + 21*s(t).\nAnswer: -3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 0.97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178\/321 or 1\/1800?\nAnswer: -178\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let q = 19.6 - 20. Let i = 0 - 0.3. Which is the nearest to p? (a) i (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (20 + -11) - 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15092388 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 - 168 + 511 - 190 - 72*q + 79*q.\nAnswer: 7*q - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550143 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*m**2\/5 + 54*m.\nAnswer: m*(11*m + 270)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/7815192 and 95\/168.\nAnswer: 7815192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (23\/(-207))\/(20\/715) and 53\/420?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158755 divided by 69\nAnswer: 158755\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 857*k**3 + 498*k**2.\nAnswer: 5142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -6. Let r be (-12)\/30 - z\/(-5). Let y(s) = 0*s + r*s + 2*s**2. Let g(i) = -i. Determine y(g(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37178003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -76, -72, -68, -64, -60?\n\"Answer: 4*a - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/3)*a*a*a**(-2)*a assuming a is positive.\nAnswer: a**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 6:35 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -3, -67519, 0 in decreasing order.\nAnswer: 51, 0, -3, -67519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44\/24)\/(-1 - (-19)\/18). Suppose 13*n + m + 6 = 0. Let a(v) = -v**3 + 6*v**2 - 7*v + 3. Let o be a(5). Sort o, 4, n.\nAnswer: o, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90385 - 75486 - 2248 = 1180*w - 4757*w for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/5 + 3 + 12 + -6. What is the closest to 2\/7 in -39, -2\/9, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.74 - -79. Let r = 0.64 + j. Sort 0.1, 0.03, r, -2.\nAnswer: -2, r, 0.03, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 + 6*s - 6. Let o be (6\/(-4))\/(8\/(-32)). Let v be t(o). Is v\/12 + (-159)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, 0, -4, -12, -24?\n\"Answer: -2*c**2 + 6*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13663 is divided by 319.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k + 10. Let u be i(-4). Let d(s) = 3*s**3 + 2*s + 3. Let n be d(-2). Let p = n - u. Which is the nearest to 0? (a) p (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 1, e: 2, k: 1, t: 1, w: 1}. Give prob of sequence etua.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 2*p = 0. Suppose 13*l - 17*l - 40 = p. Calculate the remainder when 92 is divided by (-236)\/(-10) + ((-14)\/l - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:03 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from qqppp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h + 6 + 13*h**2 - 8 + 3 + h**3. Is o(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -s + 5*p, 7*p - 3*p = 3*s - 18. Suppose 2 = -u + s. Suppose u = -2*c + 3*a + 101, -4*c = 6*a - 2*a - 232. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4879 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -56 - 104. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q - 2. Let g = 16154 + -16148. Let v(n) = -3*n - 2. What is g*w(b) - 5*v(b)?\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k + 656. Calculate s(41).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 175*s + 2. Let a be c(1). Suppose 0 = 5*b + m + a, -65 = 2*b - 4*m + 19. Let j be (-24)\/b*6\/(-4). Let o(r) = 4*r**3 - r - 1. Calculate o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0067, 3\/37, -6\/11, -8, 3.\nAnswer: -8, -6\/11, -0.0067, 3\/37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0261+17\nAnswer: 17.0261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10561 divided by 5?\nAnswer: -10561\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -3.386.\nAnswer: -0.10158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-19) - (-1802)\/(-10982))\/(49\/5 - 10).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.1. Which is the nearest to 0? (a) -0.014 (b) p (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/51 + (-30)\/45. Let t = q + 12\/17. Let i = 753\/5 - 150. What is the second smallest value in t, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 14*l**2 + 18*l + 39. Calculate t(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 6*z - 18. Suppose 10*j + 4*j - 336 = 0. Calculate the greatest common factor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16959499 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8741 - 0?\nAnswer: -8741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 8*p + 340. Let t = 421 - p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/332497 and 7\/362?\nAnswer: 664994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 7*w + 6. Let k be i(7). Suppose 5*u - 4 - k = 0. Let c be (u\/(-3))\/((-8)\/(-3000000)). Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + 9 + 40 + -54?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 17*p - 107. Let o(d) = -2*d + 1. Let i(j) = g(j) + 6*o(j). What is the units digit of i(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, k: 9}. What is prob of picking 1 m and 1 k?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -32301 = -32302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*k**3 + 691*k**3 + 1416*k**3.\nAnswer: 2497*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -345 - 364 + 705 - 101*f**4 + (2*f - f - 3*f)*(-f**3 + 5*f**3 - 3*f**3).\nAnswer: -103*f**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.3 + -11. Let g be (3\/6)\/((-1)\/12). Let r be (-14)\/(-7) + 14\/g. Do r and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 37 + 3. Let y(n) = 249*n + 10. Let j be y(r). Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2226 and 3.3.\nAnswer: 10.63458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/21)\/(((v\/v**(-1))\/v*v)\/v))**6\/(((v**0\/v)\/v)**34\/(v*v**(-2))**(1\/62)) assuming v is positive.\nAnswer: v**(27149\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*r - 8 = -3, -2*d + 15 = r. Let v be 9\/(-6)*(197\/(-12) - -16)*8. Solve g - d = v*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = -4*j, -4*f + 5*j - 4*j = 8. Let p be (-1 - 1)*(-6)\/4. Suppose -1636*n = -1646*n + 50. Sort n, f, p in increasing order.\nAnswer: f, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -35, -37, -39, -41, -43?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/370 and 67\/614?\nAnswer: 113590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1561, -1634, -1839, -2242, -2909?\nAnswer: -3906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -7 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Let z(c) = -5 - 439*c + 435*c + 5 + c**2. What are the prime factors of z(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from oooooogogoogoogoooo.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/3 - 754655*o**2\/3 - 47462328041*o - 1376195966367 = 0. What is o?\nAnswer: -377313, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -43033 (b) -1.56 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 40 = 6*h. Let y = 23 - h. Let t(f) = -4*f + y*f**2 + 0*f + 8*f + 3. Calculate t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 57*t + 174. Determine i(-60).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-9\/4))\/(d\/(d**(-2\/5)\/d))*(d\/d**(1\/2))**30 assuming d is positive.\nAnswer: d**(317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171)*-1 - sqrt(171)) - sqrt(171))*-4)\/(5*sqrt(81)).\nAnswer: -8*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - 486\/(-8). Let v = 48 - 104. Let q = v + f. Solve -3*j - 2 = c - 5*j, j + 10 = -q*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 10\/11, -0.70043?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 25. Suppose 45 = 4*n - 3*n + 2*a, 5*a + 20 = v. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 2*p - 1. Suppose 0 = x + x + 12. Let q = 2 - x. What is the remainder when q is divided by g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.5, -25, 1\/2, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 2. Let g(x) = x + 1. Let o(y) = 2*d(y) - 5*g(y). Suppose 3 - 5 = -2*n. Let m = n + -6. What is o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3530 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70444039?\nAnswer: 17, 19, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8288, 0, 4.5, -0.06, -0.1 in descending order.\nAnswer: 8288, 4.5, 0, -0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (1 - 5))*1. Suppose 576 = l*f + f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 166. Sort -1, 3, f in descending order.\nAnswer: f, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23902097*d**2 - 7618339*d wrt d?\nAnswer: -47804194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*h + 69 = 0, 6*h + 75 = 4*c + h. Let g be (-3)\/(c\/(-35)*14\/8). Solve 0 = -5*y - 5*i - 30, i = -0 - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.3239 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 5*n + 11. Calculate d(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 36 = 6*h. Let m be (2\/(-6)*0)\/(-2). Let t(i) = -5*i + i + m*i + 10. Let w(b) = b - 3. Give h*w(j) + 2*t(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12308724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (6 - (7 + (-9 - -10))) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2789, -5350, -7657, -9704, -11485, -12994?\nAnswer: -14225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and -49?\nAnswer: -12.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2905\/12 - -5807\/24. Put -0.184, o, 2\/15 in increasing order.\nAnswer: -0.184, o, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4455 and 12540?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9730 - 10212. Which is the closest to p? (a) 0.06 (b) -3\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 - (-148 + 148).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16134 - -2567. Let w = 1706 - -6361. Let h = y + w. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -117, -113, -107, -99, -89, -77, -63?\n\"Answer: n**2 + n - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2, 36.9, 0.2 in increasing order.\nAnswer: 0.2, 2\/7, 2, 36.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 >= -1690102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -360 (b) 0.1 (c) -3 (d) 283 (e) -8 (f) 2 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 384, 1487, 3652, 7233?\nAnswer: 12584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.3 + -23. Let o = 0.09 + 3.91. What is the nearest to 0 in o, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 6*o**2 - 4. Let w be j(6). Let a(b) = -4*b - 3. Let p be a(w). Let i = -5 + p. Solve -z - 3*l - i = -6*l, 4*l = 5*z + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.096 + -0.096. What is the closest to -0.1 in 1\/3, p, -4, -6\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78448770.\nAnswer: 2, 3, 5, 29, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 + 232\/(-12). Let i = 34 + r. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-14)*(-8)\/(-48))\/((-5)\/(-580))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5341, -8, -36, -4 in ascending order.\nAnswer: -5341, -36, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11 = -1. Suppose 12 = -4*u, -5*a - 8 = -u - 31. Suppose -q*v = a*v - 280. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 58*n - 595. Determine v(44).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 2*p**2 - 4*p**2)*(-242 + 425 - 206)*(-p + 0*p + 3*p).\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*w**2 + 1622*w**2 - 197*w**2)*(4*w - 6*w + 0*w).\nAnswer: -3148*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 7*k**2 + 5*k. Let b = 0 + -11. Let n = b + 5. Is 6 a factor of d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g**(2\/11)\/g*g)*g)\/g)*g**(-5))\/(g**(-1\/3)*g**(3\/4))*((((g**(-2\/3)*g)\/g)\/g)\/g)**(3\/23)*(g**0\/g)**29 assuming g is positive.\nAnswer: g**(-104993\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -253.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1518 by -1518.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 2076 (c) 5462\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**3 + j**2 + 3*j - 52. Let q(c) = -c**3 - c - 1. Let t(m) = -3*q(m) - r(m). Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqd when three letters picked without replacement from dqqdqixqdqqdquqnqdq?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1864939 (base 11) in base 8?\nAnswer: -14020536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0)\/(6\/3). Which is greater: -2\/27 or w?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Let q(h) = h**3 - 6*h**2 + 5*h - 2. Let n be q(5). Let o be (n\/27)\/(4\/(-12)). Sort o, 3, w in descending order.\nAnswer: w, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(8\/(-240)). Suppose 0*o + 2*o = m. Suppose -18 = -4*i - 2. Put o, 2, i in descending order.\nAnswer: o, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**6\/120 + 23*u**5\/30 + 25*u**4\/24 - 55*u**3\/2 + 7*u**2 + 5*u. What is the hundreds digit of k(46)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692, 1483, 2478, 3677, 5080?\nAnswer: 6687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 2*g + 3*g. Let p(j) = 28*j + 48. Let l(o) = 9*o + 15. Let y(i) = 16*l(i) - 5*p(i). Calculate d(y(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 10*g**2 - 10*g + 15. Let r be k(-11). Solve r*b + 9 = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = w - 5 - 8, 6 = 2*w - 4*j. Let x = w - -21. Solve 2*s = -n - 3, -2*n + 3*s = -x + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 11. Give h(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366374.5 milligrams to tonnes.\nAnswer: 0.0003663745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10784 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - n + 354 = 0, -n - 2 = 0. Let x = 99 + h. Solve 2*m + 3*m = x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1786, 21360, -1 in increasing order.\nAnswer: -1786, -1, 21360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 + 5*h + 1. Let u be f(4). Suppose -u = -3*b - 0*b. Let p be 2 + -2 + 0 + 2. Solve -3*d = -5*z + 16, b*d - p*d - 35 = -4*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*r**4 + 284285*h*r**2 + 4806663*h with respect to r.\nAnswer: -16*h*r**3 + 568570*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31383, -62761, -94137, -125511, -156883, -188253, -219621?\n\"Answer: o**2 - 31381*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -111112 (base 3) to base 12\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5222 - 2349. Is 45 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/10 - -8\/5. Which is the smallest value? (a) f (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154430873\/450 + 343180. Let q = -3\/50 + x. Put -0.4, q, 0.2 in decreasing order.\nAnswer: q, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (339*n**2 - 339*n**2 + 23*n**3)*(-n - 2 + 3 + 2) to the form q*n**3 + m + h*n**4 + b*n**2 + y*n and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose s = -4*z - 0*s + 9, o = s + 3. Suppose -1 = -z*j + 2*y + 4, y = -2*j + 1. Calculate the highest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000086572 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -24)\/(29\/(-116)). Calculate the greatest common factor of 40 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-4 - 1) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28231, 4, -0.1, 5, -3\/20.\nAnswer: -28231, -3\/20, -0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-45) + (-6935)\/(-1425). Put -1, -4, 6, z in ascending order.\nAnswer: -4, -1, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 486.09985675 - 486.1. What is b rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**6\/2 - 8*m**5\/5 - m**4\/4 + 8*m**3\/3 + 2*m**2 - 1554. Let w(x) = 0. Calculate x.\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t - 30*t - 56 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -229 + 233. Solve -x - 7 = t*q + 16, 0 = 4*x - q + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9550186l to millilitres.\nAnswer: 955.0186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*w**2 + 37 - 240*w**2 + 118*w**2 - 476*w**3.\nAnswer: -476*w**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-798)\/28*((-3)\/1 + 7). What is the units digit of (-40)\/8 - (-16)\/(-4)*a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)*l)**(6\/17)\/(l*l**(-3\/2)*l*l*l**1))\/(l*l*l\/((l**(1\/4)\/l)\/l)*l*l*l**(-1))**(4\/9) assuming l is positive.\nAnswer: l**(-6979\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 38812710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*l - 16*l - 26*l - 237*l.\nAnswer: -405*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30107307 is divided by 2863.\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:05 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 146*b = -143*b - 30491, 4*j - 60919 = 3*b. List the prime factors of j.\nAnswer: 5, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442035 and 28341.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by 20447.\nAnswer: 139\/20447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -122 - (1 + -5) - (6 + -7). Let z be 4*f\/(-540) - 1. What is the closest to -0.02 in -3, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 12) to base 13\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(55\/10) + (8370\/99)\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 0*w + 1\/3*w**6 + 0*w**2 + 1 + 2\/3*w**3 - 2\/5*w**5 - 1\/2*w**4. Factor h(d).\nAnswer: 2*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 - 1204*b - 144. What is g(302)?\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 7*i**2 + 4*i + 5. Let h(p) = 3*p**3 - 13*p**2 - 7*p - 9. Let j(y) = 3*h(y) + 5*q(y). Determine j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 254*c - 255*c - 6*i - 97, -3*c - 8*i + 77 = -13*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/80 and 187\/653520.\nAnswer: 653520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 290*s - 21. Let d(b) = -1443*b + 112. Let z(k) = -3*d(k) - 16*g(k). Let p(j) = -22*j. Determine p(z(a)).\nAnswer: 6842*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j + 6. Let g be h(2). Suppose 0 = 6*s + 3*s - g. Suppose 0 = -3*o - s*a + 149 - 579, -5 = a. What is o rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + (12 - 19 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -55 - -41 - -44?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447\/2031*4\/(-484)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -182*x**2 - 908*x\/5 + 2\/5 = 0?\nAnswer: -1, 1\/455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/5621 or -1?\nAnswer: -6\/5621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/4 and -26\/153.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -9. Let f(q) = -4*q + 6. Let a be f(-6). What is the highest common divisor of a and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6805 - 6805 + 292*q.\nAnswer: 292*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 + 10*a**2 - 6*a - 6. Let i(s) = -s**3 - s**2. Let r(y) = -5*i(y) - q(y). Let n be r(-6). Let j = n - 5. Which is greater: 1\/8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c**3 - 4*c**4 - 2*c**4 - 2*c**3 + 2*c**3 + (-4*c**2 + 0*c**2 + 2*c**2)*(2*c**2 - 4 + 4).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7\/6)*y\/(y*y\/y**(-2\/11)))**43)**(-40) assuming y is positive.\nAnswer: y**(133300\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdccdcdccccc. Give prob of picking 2 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a + 6. Suppose -8*t = -6*t - a. Solve 0 = -2*k + t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 85*b + 16)*(-1 - 4 + 8)*(-2*b + 3*b - 3*b) as q*b**2 + r*b + w and give q.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/3 + 140*u**3.\nAnswer: 2*u**3*(u + 210)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3131.3 - 3131. What is the fourth smallest value in -0.04, g, -5, 1, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/12052 and -71\/307326?\nAnswer: 614652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-255)\/680)*5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37469655 and 6410?\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1313580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y - 5, -5*v = 2*y - 3. Which is smaller: 2\/14217 or v?\nAnswer: 2\/14217","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 3*i**4 - 2*i**4 + (i**3 - i**3 - 2*i**3)*(78*i + 47*i - 5666 + 5660).\nAnswer: -249*i**4 + 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003278846803 rounded to seven decimal places?\nAnswer: 0.0032788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + t = 0. Let z(c) be the first derivative of 0*c**3 + t*c**4 + 2 + c + 1\/5*c**5 + 0*c**2. What is the derivative of z(m) wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 1 = 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 + f**2 - 10*f - 22. Let o be r(-2). Let z = 15 - 18. Let m = 18 - z. Calculate the highest common factor of o and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:33 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, n: 2, x: 9}. What is prob of sequence xtt?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2665\/278922 - -1\/1218. Suppose 13*u - 17*u = x + 17, 0 = -3*x + u + 1. Is x less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96.5 * -0.1\nAnswer: -9.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 16 + 7)*(2 - 7 + 21)*(2*l - 3*l + 0*l) + (2*l - 4*l + 0*l + 2)*(1 - 1 - 1).\nAnswer: 66*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1 + 2 + 3*h - h + h. Let g be i(6). Suppose 5*z - 69 = g. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 + 127 = 4*i - 3*f, 10*f - 16*f + 5*f - 2 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 + 4. Let y(s) = 5*s**2 - 3. Let j(t) = -3*m(t) - 4*y(t). Let p(x) = 21*x**2 + x + 1. Determine 9*j(u) + 2*p(u).\nAnswer: -3*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 86*l**2 - 11*l - 344. List the prime factors of y(-48).\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16048164 is divided by 815.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.96 + -3.26. Round t to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.046 (b) -0.9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1545 + -2?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 106*h**2 + 603*h - 17. What is o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*f = 36, 5*u + 3*f - 14 = -f. Let v = u - 2. Calculate the remainder when 13 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbccmbccz. What is prob of picking 1 b and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 11 = 2*b - 5, 4*g = 3*b + 9. Let m be 42\/(-77) - 234\/(-66). Sort m, g, 4, -27 in descending order.\nAnswer: 4, m, g, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q + y + 11, 0 = -5*q + 4*y - 24. Let k = 44 + -43.7. What is the nearest to -0.1 in q, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + 95. Let g = 68 - 40. Calculate the remainder when y is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*w + 44, 4*o + 4*w + 44 = 8*w. Let d(m) be the second derivative of -m**3\/3 - 3*m**2 + m. Is 5 a factor of d(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {a: 1, f: 2, p: 1, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74222.09ug to grams.\nAnswer: 0.07422209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009086744 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-14)*60\/(-324)*-9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17401 in -2\/9, 0.2, -0.2, 1, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022002220 - 20?\nAnswer: -2022010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.082 + -5.082. Put 5, d, -39, 0.5 in decreasing order.\nAnswer: 5, 0.5, d, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Let t = q + -1. Let a be -3 - -5 - t\/2. Solve -a = -0*j + j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*2)\/(sqrt(567)*-3 - sqrt(567) - sqrt(7)).\nAnswer: -8*sqrt(11)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - p = 2*n - 4, 0 = -n + 5*p - 20. Suppose 2*s + 3*s - 10 = n. Solve i - 2 = s*a, 3*i + a = -0*a + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:08 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose m = 3*t + w + 4*w, -5*w + 5 = 2*t. Suppose 4*f = -5*i + 147, t = -5*i - 1 - 4. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.43? (a) 2 (b) -2\/11 (c) 2391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*2\/10)\/(6\/(-15)). Determine r so that -2*r**u + r - 2 - 14*r + 7*r + 2*r = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31138194 to the power of 1\/2, to the nearest integer?\nAnswer: 5580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/8 - 7*m + 343\/8 = 0.\nAnswer: 7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/(-4) + 0). Let a = 4 + -3. Let y = 0.69 + -0.19. What is the third biggest value in a, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 0, 0 = -h + 3*x - 4. Let z = 5 - h. Suppose -8 + 1 = -z*w + g, 19 = 5*w + 2*g. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2.1. Let h = v - 3.7. Sort -3, -3\/5, 2\/7, h in ascending order.\nAnswer: -3, -3\/5, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 36136076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -180*t**2 + 6*t + 12. Let j(i) = -i**2 + i + 2. Calculate -6*j(r) + k(r).\nAnswer: -174*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 2. Give i(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054507 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.45 + -3.25. Let b = v + -0.2. Let i be -1 + (6\/4 - 0). Sort i, -0.5, b, 3.\nAnswer: -0.5, i, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5770 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36556 by -18278.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine quarters of a minute?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r**3 + 32*r**2 - 15*r + 19. Let v(a) = 3*a**3 - 15*a**2 + 8*a - 9. Let z(l) = -5*v(l) - 2*w(l). What is z(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*j = 2 + 1, -92678*j + 92685*j = 2*g - 11 + 60 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 - 72*n + 3 + 5*n**2 + 34*n + 2*n**3 + 40*n - n**2 to the form y*n**2 + u + o*n + g*n**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 4*u. Let n be (1\/2)\/(u\/40). Suppose -n*a + c + 44 = 0, -2*c + 2 = a - 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -0.1. Let r = 127.5 + -49.4. Let q = 78 - r. Which is the closest to -2? (a) q (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -20\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3 + 1550*a**2 - 12206*a - 50622 = 0?\nAnswer: -3, 11, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efebeffbrefee. Give prob of picking 2 e and 1 r.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/2652 and 7\/5916.\nAnswer: 76908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4\/9 + 238970576*a**3\/9 - 3569183751081304*a**2\/9 + 2379455595083632*a\/3 - 396575919237796 = 0.\nAnswer: 1, 29871321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 5*h**2 + 9*h - 2. Calculate the remainder when g(-7) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(3*z + 0*z - 6*z)*(z + 0*z + 0*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(-2*sqrt(192)) + -4.\nAnswer: -4 - sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.081 and -1.9982915389?\nAnswer: 1.9172915389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*f - 2*y - 43, 0 = -2*f - 5*y + 19. What is the third derivative of -5*l - 43*l**2 + 0*l + f*l**3 + 5*l wrt l?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0*m**7 - 1\/504*m**8 + 0*m**3 - 1\/36*m**4 + 0*m**5 + 1\/90*m**6 + 0*m + 0 - 76*m**2. Factor r(k).\nAnswer: -2*k*(k - 1)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/5, -10, 4, -0.6, 1?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b. Let j(y) = -2*y**2 + 67314*y. Calculate o(j(i)).\nAnswer: -4*i**2 + 134628*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i + 312. Calculate g(-32).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -257236 (base 9) to base 14\nAnswer: -40cd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055434851 rounded to 5 decimal places?\nAnswer: 0.00554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (4 + -2) - 0) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n**2 - 4*n - 3. Let p be i(5). Suppose 2*h = 4 - 0. Is (-26)\/(-2)*p\/h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -263, -0.767, 601 in decreasing order.\nAnswer: 601, 1, -0.767, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 16. Let b = c - -5.5. Put 3, -3, b in ascending order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 94180.695 hours?\nAnswer: 560.599375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 = 4*l, l + 4*l + 2*m + 21 = 0. What are the prime factors of l\/((-6)\/50) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 6*k - 7. What is the remainder when q(-7) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 5*d + 4. What is w(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -21*v. Let y(m) = m**2 + 2*m**2 - 2*m**2 + 2*m**2. Determine y(i(x)).\nAnswer: 1323*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u + 24*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13465*i**5 + 2054*i**3 - 91001*i - 53?\nAnswer: 269300*i**3 + 12324*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g - g + 7*g + g**2. Let d(k) = -2*k**2 - 13*k. Let x(s) = 3*d(s) + 7*t(s). What is the second derivative of x(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - -3 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31047 and 1398258.\nAnswer: 14470572042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613 (base 12) to base 11.\nAnswer: 72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96705 + 48352417\/500. What is the common denominator of c and 71\/1250?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 3*(-3 + (sqrt(405) + 2 + sqrt(405) + 4 - (sqrt(405) + sqrt(405)*-2 + -4))**2).\nAnswer: 1620*sqrt(5) + 11227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/7))\/n)\/(n\/n**(3\/8)))**12*((n\/n**(2\/7))\/n)**(-45)*(n**1\/n*n)**(-21\/8) assuming n is positive.\nAnswer: n**(345\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 + 4 + 3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161*z - 48*z + 131*z)*(-z**2 - 4*z - 14 + 14)*(z**2 - 2*z**2 - z**2).\nAnswer: 488*z**5 + 1952*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 2*i**4 - i**3 + (-i - 2*i + i)*(4*i**3 - i**3 - 2*i**3) - i**4 - i**4 + 9*i**4 - 5*i**4 - i**4 + 2*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:58 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 0, 2*p + 0 - 3 = -3*q. Let c(h) = -q + 2 + 6 - h. Let j be c(5). Solve 0*u + 3*u - 6 = -k, -1 = -j*k + 5*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 25. Let t be s(-17). Suppose -884 = -t*y + 21*y. Is -68 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3143, 6436, 9849, 13388, 17059, 20868?\n\"Answer: t**3 + 54*t**2 + 3124*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960092 is divided by 5962.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 44 = -19. Let a(v) = -v + 6. Let f(l) = -4*l + 11. Let t(n) = -5*a(n) + 2*f(n). Is t(g) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4557 + 4565. What is the lowest common multiple of 180 and l?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, y: 2, t: 9}. What is prob of sequence oto?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*v - 2*v - 142, 2*f - 273 = -3*v. Suppose -2*r = -0*r - f. What is the common denominator of -29\/16 and 0 - -1 - r\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5*b - 5*b)*(-4 + 2*b**3 + 4) + 20*b**4 + 59*b**4 + 70*b**4.\nAnswer: 147*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Find the third derivative of p**2 - 6*p**2 + 3*p**6 + 3*p**2 + p**z wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 6*p + 5. Suppose -2*o + 160 = 5*i - 6*o, -3*o = -i + 43. Suppose -q - 3*q + i = 0. What is the remainder when z(4) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 5:55 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172915 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = 3*t + 3, 0 = -i + 3*t + 12. Suppose 2*n = -k, -n = i*k - 4*k. Suppose k = 4*v + 3*m + 9, 0*v + 5*m + 15 = v. Solve 2 = -b - v*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*g - 234, -58 = -0*g - g + r. Suppose 57*n = g*n - 20714. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10693 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -1*sqrt(468) - (-3 + sqrt(325) + 1))**2.\nAnswer: -9462 - 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 at most -0.037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 299*b**2. Let s(n) be the second derivative of n**3\/3 - 390*n. Determine k(s(f)).\nAnswer: 1196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2275857 millennia?\nAnswer: 22.75857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/131699 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -603009 and -603009 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 191103186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Suppose 3*w = g - 16 - 3, 0 = -4*g + 3*w + 31. Put p, g, -1 in ascending order.\nAnswer: -1, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5516 = 3*c - 254*c - 15305 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 4, m: 1, x: 2, y: 2}. What is prob of picking 2 x and 2 y?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Let b be (13 - 9)*2316\/32. Let w = b - 291. What is the third smallest value in w, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3b25 (base 12) to base 9\nAnswer: -10282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from raahaajf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - -1) + ((-2370)\/130 - 3). Which is smaller: i or -26?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 minutes after 11:18 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r + 13 = -4*v - 72*r, 0 = 5*v - r + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q + 2*q)*(58*q - 2 + 41*q - 49*q)*(-5*q + 5*q - 4*q**2).\nAnswer: -400*q**5 + 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -19 - 0 - -10\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49400 - 256620022.3.\nAnswer: -256570622.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1785 is divided by 1304?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -103223?\nAnswer: 103220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2 - 1100720*n - 1328619.\nAnswer: 4*n - 1100720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 13*h - 89516 = 5*j, 4*j + h + 71596 = 0. Round j to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**5 - 22449*x**4 - 157272*x**3 - 134820*x**2 = 0.\nAnswer: -6, -1, 0, 7490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from omoommimiimoomo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12530 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 40*z**6 + 2*z**5 + 2*z + 2. Let p(h) = 81*h**6 + 5*h**5 + h**2 + 3*h + 5. Let r(o) = 2*p(o) - 5*w(o). What is the third derivative of r(u) wrt u?\nAnswer: -4560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205960545 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**11)\/x)\/(x*(x*x\/x**(-5\/8))\/x))\/(x\/(x*x**(-1\/2)))**(3\/11) assuming x is positive.\nAnswer: x**(-1211\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/3)\/1*(-333)\/6 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.2, 1\/73, -65, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113143235.\nAnswer: 5, 67, 337741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25 and -2063.\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 25 + (-5 - (-36 + -159)).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - (-186)\/8. Suppose t = -4*g + 79. Calculate the highest common divisor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 116. Suppose -2*r + j = -2*i, -r - 5*i = 3*r - 214. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306392 = -88*w + 23*w - 306262 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**4 - 20*x**4 + 7*x**3 + 1 + 10*x**4 + (-2*x**2 + 2*x**2 + 3*x**2)*(2*x**2 - 4*x**2 + x**2).\nAnswer: -2*x**4 + 7*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(3\/6 - 186\/84). Suppose 4*x - t = 251, -2*x + n*t = 9*t - 113. Calculate the highest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -878003, -1756174, -2634345?\n\"Answer: -878171*b + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23095?\nAnswer: 5, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21489 - 13240. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9 in -0.076, 0.122, 1\/2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6358, 6367, 6400, 6457, 6538, 6643, 6772?\n\"Answer: 12*c**2 - 27*c + 6373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63997, -65828, -67659, -69490, -71321, -73152?\nAnswer: -74983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -252 (b) 0 (c) 2\/3 (d) -6\/11 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-12 + 15 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -73*p + 76*p - 16*u, 4*p - 5*u = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 10 = -5, -27*r + 5*k = -6*r - 206 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -993*o + 1903*o - 952*o + 21 to a*o + g and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 128*u + 1. Suppose 0 = -h + 3, t - 6*h + 7 = -3*h. Is m(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 17*m**2 + 17*m + 6. Let h be a(18). Let s be -1 + -3 + (-45)\/6. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, v: 14}. Give prob of picking 2 e and 1 v.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13596075733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.057 in 62\/7, -5, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1181446419 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5469586.\nAnswer: 2, 2734793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/4)\/(30\/1728*-18).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45960 by 15320.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + z = -299, -4*p + 11*z - 10*z + 240 = 0. Calculate the lowest common multiple of 8 and p.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 67*k**3 + k**2 + 3*k + 2. Determine w(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 39203, 33, 3 in ascending order.\nAnswer: -4, 3, 33, 39203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-594)\/(-72))\/(4*3\/4)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 11*l**2 + 16*l + 3. Determine p(8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = -n + 4*n, 6 = -3*n. Let a be -1 + s + 0 - -21. Suppose v = -g + 12, a = g - 2*v - 2. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 l when three letters picked without replacement from zvzlzvzvvvvzzvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-20)\/40*(-1 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1570026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 170. What is the closest to r in -2\/3, -9, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 298. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + ((-27)\/3)\/3. Let w be i\/4*-16*2. List the prime factors of (-12)\/16 + -1 + 2156\/w.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3617371.\nAnswer: 23, 157277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 take away -3488?\nAnswer: 3488.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 7. Let f be t(-4). Suppose 2*l = f*l - 4. Let c = 318 - 311. Solve c = l*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374\/21 or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 457\/7 - (32\/14 + -2). Suppose -12*u - u = -g. Suppose 5*t + 3*y - 28 = t, -u*y + 4 = -4*t. Solve -t*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, g: 2, h: 8}. Give prob of picking 1 z, 1 g, and 1 h.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 + 10 + (-1 - -7). Let g be 56\/20 + 1\/o. Which is the nearest to -2\/9? (a) 2 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (321360 - 321360 - 1621*p**2)*(-p - 6*p + 3*p) to q*p**3 + j*p + x*p**2 + d and give q.\nAnswer: 6484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 6, v: 3, q: 6, d: 1, s: 1}. Give prob of sequence ivid.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*3\/(-10)*-2. Let i = -38 - -30. Let z(m) = -5*m**3 + 8*m**2 - 14*m + 14. Let n(d) = -2*d**3 + 3*d**2 - 5*d + 5. What is h*z(r) + i*n(r)?\nAnswer: r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1252 (base 12) to base 8.\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005652866 rounded to 6 dps?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (10 - 21 - 10 - -13 - -20 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23820367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(38\/171 + 0\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71660569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -6*w - 32*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u + 3*t = -14, -14 = 3*u + 5*t. Let i(v) be the second derivative of 0 - v - v**u - 1\/6*v**3. Calculate i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 + 1 = l, 0 = 4*u - 5*l + 21. Suppose 5*m - u = 4*p, p - 4 = -3. Calculate the lowest common multiple of m and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-210)\/(-27). Let n = -5 + k. Find the second derivative of d - 2*d**3 + 4*d**3 - 2*d**n - 2*d**4 wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410624.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 - 72. Suppose 7 = -o*q + 91. Solve -5*x = -5*u, 5*u + x = -q - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1299*b**2 - 21*b. Let k(s) = -433*s**2 + 6*s. Determine 14*k(i) + 4*y(i).\nAnswer: -866*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/5)\/((-4)\/8). Solve f - 1 = m*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 + 3*u + 2. Let p(r) = r**3 + 0 + 7*r**2 - 8356*r + 8354*r - 1. Determine 2*f(x) + 3*p(x).\nAnswer: x**3 + 7*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 331*j + 330. Let x be y(-1). Solve x*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 46 = -50. Solve 24 = 10*h - d*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22816)\/(-1120))\/31*35\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42440 - 5?\nAnswer: 42437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b6 (base 15) in base 7?\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 160 = 8*t. Suppose t + 47 = v + 2*d, 4*v - 333 = -5*d. List the prime factors of v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222000 - -1000010110?\nAnswer: 222011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.285 at most as big as 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2604 + 2551 - 3*t**2 - 5155.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -0.035 (c) 3\/4 (d) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7\/4)\/(a\/(a\/(a\/(a\/(a*a**(2\/9))*a))*a)))\/((a**(-3\/7)\/a)\/a*a*a\/a**(-12)) assuming a is positive.\nAnswer: a**(-3161\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 2. Let h(n) = 4*n - 11. Let k(j) = -9*j + 7. Let d(m) = 2*m + 12. Let a be d(-5). Let w be k(a). Give w*q(z) + 2*h(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-9 - (5 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 10. Let k be h(6). Let f(p) = 13*p**2 - 1. Let r be f(-1). Suppose -k*l = -l - r. Put l, -1, -2 in increasing order.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289.5 * 0.1\nAnswer: 28.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30848 and 896.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -91*o - 13524. What is the least common multiple of d(-150) and 2842?\nAnswer: 25578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 4*o**2 - 5*o - 2. Let y be u(-2). Suppose -2*f + 1 = k - 2, -3*f = y. Let x be k\/(-18)*8*(-24)\/2. Solve 0 = -4*l + x - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*q = 28*q + 38*q - 250*q + 3760 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 271569 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 226*l**2 + 290*l**2 + 1 - 1 - 23*l**2 in the form h*l**2 + w*l + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -14\/5, -2 in ascending order.\nAnswer: -14\/5, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22400043 (base 5) in base 12?\nAnswer: -97907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -793 + 1206 = 59*b. Solve 4*i - 13 - b = 0, 2*o - i = -7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {e: 2, i: 5, y: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-875) - -299*(-44)\/275\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 50193?\nAnswer: 50197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230 + 438. Let p(m) = -8*m - 3. Calculate the remainder when f is divided by p(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 q when three letters picked without replacement from qhppfpqfffq.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 3*u**2 - u - 2. Let f = -24 - -22. Calculate v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 divided by 5?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-1 - 5 + 398*b - 405*b)*(2*b - b - 2*b - 3) in the form y*b**2 + l*b + x and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-391)\/(-2) - (-1)\/2. Let p(z) = z**3 + 15*z**2 + 16*z + 5. Let y be p(-13). Suppose -u = -t + y. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338120 - 169053 + p - 169067 - 3*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o. Let m = -67 + 97. Suppose -4*b = 3*j - 12 + 39, -5*b - 3*j - m = 0. Let x(p) = -7*p - 14*p - 5*p + 13*p + 18*p. Give b*x(r) + 4*w(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:58 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 287 = -5*a, -5*a + 4*b = -b - 275. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.512569 micrograms?\nAnswer: 512.569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 20784?\nAnswer: 20784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -904330*u**3 + 2010767 wrt u?\nAnswer: -2712990*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -451, -417, -229, 101, 561, 1139?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 378 and -0.4.\nAnswer: 377.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1. Is 2 + (m - 1) - -48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/281? (a) 1\/5 (b) -54 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001110 - 110001101011001100?\nAnswer: -110001001111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53933755\/1372413504 + -1\/1299634. Find the common denominator of f and 83\/1232.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9067764?\nAnswer: 2, 3, 293, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 + x**4\/12 + x**3\/2 - 2*x**2. Let v(m) = m**2 - m - 3. Let f = -2207 - -2210. Give f*v(y) + 2*j(y).\nAnswer: y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1 (c) 0.05 (d) -1\/3 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {q: 1, o: 1, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 463.3 and 113.\nAnswer: 52352.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 596 = -244. Let m = q + -70. Calculate the lowest common multiple of m and (-2 - -6)*(27\/6 + -2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.79 + -0.21. Which is the nearest to -0.1? (a) 2\/21 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -313 + 313. Let m be -5*(0 + (o - -1)). Let l(b) = -b**2 - 4*b + 1. What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/30*1\/((-6)\/(-40)*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 727548.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10644.9012 plus -0.07?\nAnswer: 10644.8312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 smaller than -1423\/158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -5*k - 28. Let b = k - -54. What is the least common multiple of b and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-6)*11\/33.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -18 - (604 - 590)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23075 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 4*b**2 - 10 + 32*b - 29*b. Let a be x(2). Solve a = -6*o + 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, g: 3}. Give prob of sequence ggxx.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 291.1135 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102012 (base 3) in base 15?\nAnswer: -48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 51*g**2 - 5. Let j(l) = 2091*l**2 - 204. What is 5*j(a) - 204*m(a)?\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2121628 is divided by 6714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 782822203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6514167.48 rounded to the nearest 100?\nAnswer: 6514200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and 3068.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 36*j**2 + 394*j - 26. Calculate t(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 6, 11, -1\/50, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 241?\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3627.27708 rounded to zero decimal places?\nAnswer: -3627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 149 = -3*w + 1226, 0 = -4*z - 8. What are the prime factors of w?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:56 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -h + 38, -2*t - 4*h = -3*t + 48. What is the remainder when t is divided by 28\/3*6\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -15*q**3 + 3*q**2 + 21*q**3 - q**2 - 2*q + 1. Give b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229 (base 14) to base 5.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/12 + u**3\/6 - u**2\/2 + 7*u. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 327*(-2 - 100\/(-15)). Let b = y - -1881. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 12*k**2 + 7*k. Let n be -1 - 24\/2 - (-444)\/111. Let j be q(n). Round j to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. What is the closest to 0.1 in v, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 776*r**2 + 23292*r + 275400 = 0. Calculate r.\nAnswer: -9, 50, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 1.236924084 + -23\nAnswer: -21.763075916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56.90278 and 0.4.\nAnswer: 22.761112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - 53503420?\nAnswer: -53503342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*r**4 + 864*r**3 - 892*r**2 - 256*r + 48 = 0. Calculate r.\nAnswer: -1\/3, 2\/15, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 9*g**2 + 5*g + 6. Let c be k(9). Suppose 0 = -l + 3*p + c, -22 = 4*l + 4*p - 242. Let y = l + -23. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/15 + a**4\/24 - a**3\/6 - 4*a**2. Let k be h(1). Solve -2*y - 3*w + 17 = 0, k*w = -5*y - 0*w + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (-32 + (11 - -20) - -23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2597, 5366, 8137, 10910, 13685?\nAnswer: 16462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 15 = -185. Is v >= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1173215666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - v**2 + 1. Let m be z(-1). Suppose -3*y = 12, -9 = -5*t - m*y + 13. Let l be 0\/((-1 + t)\/(-5)). Which is smaller: -5\/7 or l?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*c**2 - 73*c**2 - 65*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 88 - 3. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021842 to seven dps.\nAnswer: -0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -52)\/(-6) - (-3857)\/(-435).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Let z be 1 - 1 - 2\/1. Which is the closest to -0.2? (a) z (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1 - (-27)\/9. Let u(s) = -31*s**2 - 10 - i + 32*s**2. Calculate u(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 193 + -3?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 4, u: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 3, w: 13, m: 2}. Give prob of sequence pm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 8*k**3 + (119*k**3 - 46*k**3 - 44*k**3)*(-2 + 2 - 2).\nAnswer: -66*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 30*r**2 + 105*r - 106. Let f be j(1). Solve -f = -6*s + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 140?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 188 = -3*g. Suppose 0 = 5*u - 269 + g. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 4*h + 7. Let o be z(5). Let f be ((-1 - -1) + -3)*-1. Suppose -4*v - 23 = f*q, -4*q + 1 = -v + 19. Sort q, 3, o in decreasing order.\nAnswer: 3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3939 and 67308420?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-6) + (-4)\/6. Let p(k) = 4. Let r(a) = 9. Let b(h) = y*r(h) - 7*p(h). Let z(f) = -f. Let j(d) = -b(d) + 4*z(d). Differentiate j(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 23861240\nAnswer: 1\/11930620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -21. Let n = i + 9. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -18*o**2\/5 - 3118*o\/5 + 32208\/5 = 0.\nAnswer: -183, 88\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 0*c**2 + 3*c**2)*(-102*c**2 - 17*c**2 - 225*c**2).\nAnswer: 344*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z**2 - 10*z - 5*z**2 + z. Let j(t) = -6*t - 4*t - t**2 - 4*t**2 + 0*t. Let m(g) = 5*j(g) - 6*n(g). What is the second derivative of m(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605853 divided by 9?\nAnswer: 67317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4108433us in days?\nAnswer: 0.00000000015521809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-8))\/((-3)\/18). Let y be (1\/(-6) - 0)\/1. Which is the nearest to n? (a) 0.5 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:12 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 36, -494, -1166, -1986?\nAnswer: -2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 116. Let x be ((-6)\/7)\/(6\/p). Suppose -2*j = -3*w - 0*w + 12, -3*w - j = -x. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - g - 24. What is the remainder when 19 is divided by 0 + (3\/(-2) - g)*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 24 - (-43 + -57) - -6) + 3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -3*y**3\/2 - 21*y**2\/2 - 25*y. What is the derivative of b(d) wrt d?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - d - 10 = 2*d, d = 4*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -346 (b) -4\/29 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 433320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.43845 and 0.31.\nAnswer: -0.1359195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d)**(-2\/9))**46*(d**(3\/8)*(d\/((d*d**(-4))\/d))\/d)**6 assuming d is positive.\nAnswer: d**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 75*h\/4 + 63.\nAnswer: -3*(h - 28)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*s**3 + 11*s**3 - s - 3*s**5 - 8 - 21 - s + 7*s wrt s?\nAnswer: -60*s**3 + 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.59 times -0.229\nAnswer: -0.13511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 1 + 2*h - 459*h in the form i*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:47 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/78 and (0 + 34\/9)*(-9)\/(-24)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 27*s**2 - 6. Let l(c) be the second derivative of -203*c**4\/6 + 91*c**2\/2 - 3*c. Let q(b) = 6*l(b) + 91*p(b). Let h(r) = -r**2. Calculate q(h(g)).\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -6, 2, 10 in ascending order.\nAnswer: -9, -6, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 557461199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69958 + -8512. List the prime factors of w.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717164?\nAnswer: 2, 7, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 545*c**2*z**2 + 41*c**2*z - 104*c**2 - c*z**2 + 9579776*c - 2*z**2 - 1 wrt c.\nAnswer: 1090*z**2 + 82*z - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 8) to base 11.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330*s + 270*s + 330*s - 219*s + 2*s**2 - 9*s**3 + 95*s wrt s?\nAnswer: -54*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4ad3 (base 15) to base 2\nAnswer: 11111001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) 4 (c) -3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879082266 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40489)\/171 - (-2)\/18*-2. Let t = b + 556. List the prime factors of t.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -292, -247, -204, -163, -124?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1406 - 1407. What is the fourth smallest value in 2, k, 3\/5, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5072 and -0.02.\nAnswer: -0.010144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = -0*b. Suppose -b*j + u + 424 = -102, -5*u + 126 = j. Differentiate -j*n**3 + 6 + 39 + 154*n**3 wrt n.\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 78 = 13*d - 14*d, 2*d + 3*a = 153. Let m = 77 - d. Solve u = 5*s + 19, -s + 4 = -m*u + 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {t: 1, q: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d + 1. Let h(b) = 10 + 2*b**2 - d. Let k(a) = -a - 2*a**2 + a. Calculate k(h(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32808 divided by -8202.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/12 - 193*g**2\/6 + 2849*g\/4.\nAnswer: -g*(g - 21)*(g + 407)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658846 is divided by 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.39, 15, -1\/3, 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50777, -101492, -152207, -202922?\nAnswer: -253637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5100 - -5494. What are the prime factors of s?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7924684.\nAnswer: 2, 1279, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -1\/21, -0.112?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 * 2.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 15 + -56 - (4 + -8 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337738 - 110138. Round n to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 33*h**2 + 0*h**4 - 2*h**3 - 65*h**2 + 27*h**2 to the form f + s*h + w*h**3 + m*h**2 + i*h**4 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20)\/((48\/(-5))\/(-8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2348 - 2348 + 20*b + 10*b**2.\nAnswer: 10*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.185 times 0.3723?\nAnswer: 0.0688755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52696 is divided by 527.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, -3, -17, -37, -63, -95, -133?\n\"Answer: -3*x**2 + x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7147\/(-1127) - -6) + 6 + (-156)\/28.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1092 and -12.399932.\nAnswer: -1104.399932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -15. Let u = t - 2. Calculate the highest common factor of 15 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -27b8a2?\nAnswer: 27b8a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 4. Let w be z(-7). Let g = -1 - w. Let x be (-9 + g)*(-24)\/14. What is x rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*i + 2*i. Let v(u) = -7*u - 4*u + i*u. Let h be v(-1). Which is smaller: 3\/10 or h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -4 (b) -5 (c) 50823 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4908 - -24538\/5. Let k be 0 - 1*3\/6. Which is the nearest to -4? (a) -2\/7 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(-2*n + 0 + 0) + 3*n - 2*n + n - 195*n + 267*n - 182*n)*((-3 + 10 + 1)*(1 + 1 + 0) + 2 - 5 + 1)*(-n - 3 + 3).\nAnswer: 1484*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*i + 31, i + 8 = -0*i - 2*t. What is the common denominator of ((-2)\/(-7))\/(1\/29) and 1 + i*17\/12?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3 - 52\/(-20))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, -2, -11 in descending order.\nAnswer: 140, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12*-3*1. Calculate the highest common factor of m and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-4 - -2 - 1). Suppose f*d = 4*d + 26. Let j = d + 15. Are j and 5\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1065 divided by -4270\nAnswer: -213\/854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3430, 6880, 10344, 13828, 17338?\n\"Answer: k**3 + k**2 + 3440*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 3*b - 3, 7 = -3*d + 2*b. What is the units digit of 6\/6*(-106)\/1*d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43762.63 centuries in months?\nAnswer: 52515156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/1*(-66)\/(-44). Solve -2*g**2 + 22*g + 0*g**2 - l*g + 8*g**3 - 2*g**2 + 4*g**4 = 0 for g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -547, -2825, -6621, -11935?\nAnswer: -18767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/15 + 134*m**3\/15 - 1564*m**2\/15 - 128*m\/15 + 5824\/5 = 0. What is m?\nAnswer: -3, 4, 14, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38668533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4.6. Let y = -47 + 48. Which is greater: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/12 - u**3 - 18*u + 21. Let i(f) be the first derivative of p(f). Calculate i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 0 + 0)*(-4*r + r + 0*r)*(-3 + 2140*r + 4 - 3617*r) to the form s + u*r + m*r**2 + f*r**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 73+231433844\nAnswer: 231433917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*j + 1193 - 413 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 1.1. Put -2\/9, b, -1, 1 in descending order.\nAnswer: 1, b, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 6*m**2 + 14*m - 12. Suppose 0*a = -5*q + 5*a - 50, -3*q = -2*a + 28. Let x be u(q). Solve -2 = 3*g - x*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 2, v: 2, n: 2}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 22*n**2 - 5*n + 125. Calculate the least common multiple of 200 and s(-11).\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 + 790 = -63*n - 1311 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.213 and -574.703?\nAnswer: 122.411739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faoow. Give prob of picking 1 w, 1 a, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.15 - 10.15. Let r be 3\/2 - (-3 - -5). Let g = -31121\/41 + 759. Which is the second biggest value? (a) g (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351.19 + -348. Let w = 153784328 - 153784324.81000213. Let z = o - w. Round z to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 61. List the prime factors of q*(-6)\/72*3513.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 10*d**2 + d - 4. Let g be t(10). Suppose g*z = 8*z - 4. Solve m = -z*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25\/15)\/((-2)\/3). Which is the smallest value? (a) -3 (b) -2\/13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85651, 85650, 85649, 85648, 85647?\n\"Answer: -w + 85652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 - 56*f**2 - 22*f**2 - 56*f**2 - 261*f**2.\nAnswer: -410*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 11265, 11278, 11319, 11400, 11533?\nAnswer: 11730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4 - 2. Suppose -h*f + q + 4 = 0, -4*q = -13 - 3. Calculate the smallest common multiple of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*f, 0 = 3*m + m + 3*f. Let y = 4423\/2 + -448934\/203. Are y and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3799100 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b + 4*s + 14, 0 = 4*b - 4*s - 16. Differentiate 10 - 145*z - 3*z + 66*z + b + 0 with respect to z.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31637, 126602, 284877, 506462, 791357, 1139562?\nAnswer: 1551077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 0.152.\nAnswer: 0.152, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -47. What is the remainder when 117 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b - 52. Let k be d(-6). Solve 24 = -k*r + 5*m + 4, -4*r + 4 = m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2.62\nAnswer: -2.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -0.4, 4, 0.15, -1\/4, 1\/9, 60.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 17 + 15 + x**3 + 4*x.\nAnswer: x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-1 - -11)) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -956, 5, 2\/7, -5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**4\/24 - n**2. Let j(c) = c**3 - 3*c**2 + 3*c - 2. Let i be j(2). Let s(z) = -4*z + i*z + z + 4*z. Give s(a(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37 and (-4 - 375\/(-48)) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2316113.4 and 0.7.\nAnswer: 1621279.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2623 + -458. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*m - 13644 = -3*b, m + 17079 = 5*b. Suppose b = 2*d - 5*f, -3*d = -6*d + 2*f + 5106. What is d rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -227, -223, -217, -209, -199, -187, -173?\n\"Answer: t**2 + t - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cd28 - 11?\nAnswer: -cd39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -9) + -1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8702486 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1624 = 21*z + 10*z + 85*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272455 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 872\/731 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1360 - 15*f + 697 + 661.\nAnswer: -15*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -482*w**3 - w. Let u be y(-1). Let o = -218 + u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*t = -107*t - 37566. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1104\/(-24) - -1*2\/2. Let k = u - -94. What is the greatest common factor of 196 and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414171 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11503735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -93324815.15 to the nearest 100000.\nAnswer: -93300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451934 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 10}. Give prob of sequence msms.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z + 11. Let v(y) = -14*y + 11. Let j(m) = -5*n(m) + 4*v(m). Let c(d) = 3*d - 4. Let s(i) = -7*c(i) + 2*j(i). Give s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -37, -61, -89?\n\"Answer: -2*y**2 - 14*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + n + 8 = -2, 5*n = -10. Sort g, 1, 4, -2 in ascending order.\nAnswer: -2, 1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.4553742 - -14.4976. Let z = u - -0.0177724. Let w = -0.06 + z. What is w rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*l = -251, -2*p - 5*l - 8 = -111. What is the highest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.322044 days?\nAnswer: 459824.6016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2\/9, 1\/4, 0.2 in increasing order.\nAnswer: -9, 0.2, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 14*v - 6. Let t(h) = 2*h**2 - 14*h - 5. What is -6*t(j) + 5*w(j)?\nAnswer: -2*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1856, -5, 20 in ascending order.\nAnswer: -1856, -5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**2 - f - 4. Is 12 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -943 + 1223. What is the remainder when b is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1\/1779 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a decade in months?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 1062327?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3836739393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70569692 and 0.02.\nAnswer: 70569692.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -513*y**3 - 17*y**2 + 17*y - 17. Let z(i) = -172*i**3 - 6*i**2 + 6*i - 6. Give 6*l(q) - 17*z(q).\nAnswer: -154*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d - 60e5?\nAnswer: -6122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -9. Let l = q + 12. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 32*z**2 - 99*z - 37. Give a(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 - 2757*f**3 + 530797*f**2 - 1540095*f - 5225450 = 0. What is f?\nAnswer: -2, 5, 205, 2549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9 + (2 - -2)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1159.12 + 1159.52. Let v = 3.2 - 3. What is the nearest to j in 5, -3, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 5225590*q\/3 + 34837000.\nAnswer: 2*(q - 2612775)*(q - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + (-2 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 3:36 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-11 - 1 - -4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = r - 127, 0*r - 2*r = 5*x - 269. Suppose -5*f - r = -4*j + 85, f = -j + 52. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(5\/(0 + -5)). Let a = u - 25. Let 8*v**2 + 7*v**2 + 2*v**4 + 3*v**2 - 12*v**a = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-7)\/(158\/869*(-22)\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/21)\/((3990\/(-36))\/19).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a**2\/17 - 86766*a\/17 + 34708\/17 = 0. What is a?\nAnswer: -8677, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152938332 to the nearest integer?\nAnswer: 12367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -26. What is the closest to -2\/3 in u, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173397 divided by 161\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3\/3 + 55538*f**2\/3 - 222128*f\/3 + 74040 = 0.\nAnswer: 2, 27765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/8 + 477*j**3\/8 - 1449*j**2\/4 = 0 for j.\nAnswer: -483, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-8))\/(1225\/294)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/390 and -59\/312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c. Let v be u(1). Suppose -5*a - 14*l = -12*l - 7, 5*a + 5*l = 40. Put a, 0, v in increasing order.\nAnswer: a, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q + 6 = 119*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7637.179ms?\nAnswer: 7637179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*t - 820 = -325*t + 660*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 5*l**4\/24 + 82*l**2 + 5*l. Let j(w) = -1841*w. Determine j(k(o)).\nAnswer: -9205*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 - w**3\/3 - w**2\/2 - 9*w - 1. Let t(g) = g + 6. Let o be t(-15). Let r = 9 + o. What is m(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*r - 13 = 0, 7*r - 2*r = -4*j - 16. Let u = -5 + 6. Calculate the highest common factor of j and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*q**5 - 8*g**2*q**2 + 3*g**2 + 2*g - 7*q wrt q.\nAnswer: -80*g**2*q**3 - 16*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 4*u - 4. Let r be t(-3). Let x be 1\/2*r\/(-1). Suppose 104*o + 23 - 220 - 11 = 0. Solve -x = -3*m - o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.2 + 10.2. Which is the second smallest value? (a) v (b) -1\/7 (c) 1 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/33207 + -18618062\/33207. Which is greater: -560 or a?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/11))**(-1\/7)\/(((j\/(j\/j**(-20))*j)\/j)\/j**(-5\/3)) assuming j is positive.\nAnswer: j**(4217\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7862888.\nAnswer: 2, 11, 199, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 + -1 + 2 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/12 + -2)*6. Suppose 0*o + 3*o + 24 = -a*t, -4*o = 4*t + 36. Let n(m) = -m**3 - 4*m**2 + 5*m - 5. Is n(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Suppose q*p + 231 = 8*p. Let o(x) = 7*x**2 + x - 1. Let a be o(1). What is the greatest common factor of p and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3188*a + 2799 wrt a?\nAnswer: 3188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + a**2 - 6*a**2 - 70*a**3 + 5*a**2 as g*a + o*a**3 + d*a**2 + z and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 3*z**2 - 3*z + 3. Let r be m(2). Which is smaller: r or -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.22 (b) 0.1 (c) -4\/3 (d) -5 (e) -0.02 (f) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -123*t**2\/2 + 2*t - 2287. Let b(d) = -4*d. Calculate q(b(u)).\nAnswer: 492*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 3, -5, 37, 203, -1\/3 in increasing order.\nAnswer: -5, -1\/3, 0.04, 3, 37, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 0, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 74, 3, 0, -3 in decreasing order.\nAnswer: 74, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 4:37 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18. Let x = -9 - u. Let s = x - -31. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, i: 3, q: 6}. What is prob of picking 3 i?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-299)\/(-322))\/((-157)\/2198).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -807, -1221, -1633, -2043, -2451, -2857?\nAnswer: -3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -72474492 smaller than -72474488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3368.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + 2*c + 6. Let g be t(6). Let j be 904\/g + -2 + 64\/36. Is 48 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 + 4150012297.\nAnswer: 4150012296.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 6) + 4 + 2. Let o be v + (44 + 1 - 2). What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -42. Let y = n - -21. What is the highest common factor of 27 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d + 3*d + 3*d + (-2 - 3 + 3)*(2*d + 3*d - 2*d) - d + 0*d + 0*d - 8*d + 18*d - 8*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 16626.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -63 + (143 - (66 + 30))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1560788347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ququq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(240) - ((sqrt(240) - sqrt(240)*-5) + sqrt(240))*-1)\/((sqrt(30) - sqrt(150)\/sqrt(5))\/sqrt(6) - (sqrt(25)\/(sqrt(125) + sqrt(5)) - sqrt(5))).\nAnswer: 5 + 192*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31046812 (base 9) in base 13?\nAnswer: 3121361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 17*r + 119. What is p(9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - 2*2*sqrt(136))\/(sqrt(8) + (3*sqrt(88))\/sqrt(11)) - -6*(2 + sqrt(153) + (-4*sqrt(68))**2)*-4.\nAnswer: -26160 - 291*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2314 and 0.02.\nAnswer: -46.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -1\/7 (b) -1441 (c) -2 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 20. Suppose 4*c - 2*c = u. Let m = c + -4. Which is smaller: 1\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214 (base 8) in base 13?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -35*x + 20. Let v(r) = 11*r - 6. Let d(z) = 3*t(z) + 10*v(z). Let w(j) = -4*j. Give d(w(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57300293 + -0.573. What is t rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) 6 (d) 0 (e) -37.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -252409*u + 100289 wrt u.\nAnswer: -252409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a day in minutes?\nAnswer: 35520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2355.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, -4, -40, -110, -226, -400, -644, -970?\n\"Answer: -2*f**3 + f**2 - 3*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwwukuwkwkwuwk. Give prob of picking 3 w and 1 u.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 20 = 4*m, -4*r - 2*m + 14 = 0. Suppose -s = -3*s - 2. Let h = r + s. Solve 4*d - 4 = h*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 8*b - 30. What is i(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -463\/8 - -363\/40. Let l be 0 - -50 - (-1 + 2). Let q = l + z. Is q greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 298842 and 2988420?\nAnswer: 2988420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/20 + g**4\/24 - g**3\/6 - g**2. Let k be u(1). Let d = k - 3. Let p(a) = 4*a - 2. Let j(r) = r. What is d*j(v) + p(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2130 or -25.55?\nAnswer: 2130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 147629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(5\/4))**24\/(u*(u\/(u\/u**1*u*u)*u)\/u*(u\/u**(-5\/3))\/u*u))**(-12\/5) assuming u is positive.\nAnswer: u**(-616\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 6*x - 252. Let f = x + -109\/3. Let l = 10 + -31\/3. Which is the closest to l? (a) 5 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1 - z - 2 - 6*z + z**2 + 3*z. Is u(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 1, m: 2, b: 4, l: 3}. Give prob of sequence lbi.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96.0015 - 96. Round p to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1072, -2137, -3202, -4267, -5332?\nAnswer: -6397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/20*2\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -2265, -5086, -9035, -14112, -20317, -27650?\nAnswer: -36111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 7355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10906, -10881, -10856, -10831, -10806, -10781?\n\"Answer: 25*x - 10931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -96*m + 1867. Let o be s(20). What is the fourth biggest value in 2, 0, 2\/21, o, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 11. Let u = 97 - 94. Find the third derivative of -n**3 + o*n**3 + 3*n**u - 4*n**2 wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c1 (base 14) to base 16.\nAnswer: -16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/231 and 53\/126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + u)*(44 + 67 + 267)*(2*u + u + 2*u).\nAnswer: 3780*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -2149363?\nAnswer: 2149380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 + 168. Suppose -4*x + r + 16 = 0. Determine s so that 27 - 15*s**2 - x + 9 + 5*s**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707*o + 14 = 714*o. Sort 5, 4, 0, o in decreasing order.\nAnswer: 5, 4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 - -181. Let o(f) be the first derivative of 2*f**3 + 0*f**2 - 1\/2*f**4 + k*f + 4. What is the third derivative of o(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50704944 to four decimal places.\nAnswer: 0.507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -0.3, -1\/10, -2\/11, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108008032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/65247 and 74\/89817?\nAnswer: 21466263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 534 + -304. Let a = j - 225. What is the closest to -1\/2 in -1, a, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 - -2.15. Let m be (-3)\/((-3)\/2)*1. Suppose m*k = 8, 0 = -4*i - 3*k + 1 + 3. What is the second biggest value in i, 2\/13, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 271, 910, 2177, 4288, 7459, 11906?\nAnswer: 17845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -271a (base 13) in base 16?\nAnswer: -15e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j - 39 + 66 = -53. Is -9\/443 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 8 = 2*l, 12 = 3*h - 2*l. Suppose -c - h*c + 20 = 0. Solve 0*f - c*f = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:47 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-88)*4 + (-1)\/(-66). Let g = 1.1 - 1.5. Which is the closest to 0? (a) 1.4 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1402 and 45874.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40240704, 40240702, 40240700, 40240698?\n\"Answer: -2*j + 40240706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3728120 - -4045009883\/1085. Let l = c + 1\/155. What is the closest to 0 in -0.4, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 101 - (-31 - 11).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11796 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22589, -44931, -67273?\nAnswer: -89615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370173463.\nAnswer: 17, 313, 257503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 1\/2*w**2 + 0.\nAnswer: w**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/21 and 8788\/(-10374) + 3*(-4)\/(-42).\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y + 7*y - 21*y + 4*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -0. Suppose -k + 2 = -r. Calculate the lowest common multiple of k and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*c - 69*c - 834 = 590 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h*y**5 - 2*h*y**2 - h*y - 724*h + 1693053*y**5 + 2*y**2 + 9*y + 16 wrt y.\nAnswer: -300*h*y**2 + 101583180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8 - -9) + -11 + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236468 and 64976.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 2. Let d be w\/(-8)*(1 + 3). Let h be 1\/((-21)\/(-28))*-3. Sort -4\/7, d, h in descending order.\nAnswer: -4\/7, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157588490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -536\/2493 + -2\/277. Let i = 0 - -1. Is i bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 2*i)*(889*i**4 + 2469 - 2469).\nAnswer: -1778*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*1639.32.\nAnswer: -122949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-21)\/(-7))\/24*-2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:26 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = 2430. Round i to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 9\/2. Let v = g + 2. Suppose -8 = 4*o - 8*o. Is v greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/2 - 779*d**3\/2 + 65663*d**2\/2 - 64885*d\/2 = 0 for d.\nAnswer: 0, 1, 95, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v + 9 - 243 = 88 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-1\/3)*l))**(-36))**(-4) assuming l is positive.\nAnswer: l**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/71977 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8533593.5 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 + 347.9821. Let j = 0.01790631 + x. Round j to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 18 = -3*r - 0*w + 31, 359 = 19*r - w for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1337801, 2675548, 4013271, 5350958, 6688597, 8026176, 9363683, 10701106?\n\"Answer: -2*z**3 + 1337761*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 2 + -1)\/(15\/295). Let q = v + 86. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-3) - 102\/153. Suppose y = r*k - 2670, y - 2670 = -3*k + 4*y. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1938)\/(-114)*(-16750)\/(-2125).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 5\/(225\/(-1785)))\/(2\/10437120). Round p to the nearest 1000000.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(30\/(-25)) + 504\/(-99).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkkkkqkkkkqkqqqqqqk. What is prob of picking 1 k and 1 q?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20790)\/1650)\/((-1539)\/190).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-162)\/63)\/((-6)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:08 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-27)*(-30)\/(-632). Is s greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13620 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096.978ug in milligrams?\nAnswer: 3.096978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 1 = -2*q + q + a, -40 = 1262*a - 1270*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 2*v - 1. Let u be i(-4). Suppose -4*p = -0*p + 3*y - 6, -4*y - u = -5*p. Solve -2*s + 7 - 1 = -2*l, p*l + 5 = s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13300013 (base 4) to base 14\nAnswer: -b7dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1802, 3527, 5174, 6749, 8258, 9707, 11102?\n\"Answer: j**3 - 45*j**2 + 1853*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(9 + -373))\/((-22)\/(-385))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/(-51) - (1 + -3) - -40.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -60?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*u**5 - 11*u - 4*u**5 + 2*u**5 - 13*u wrt u.\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 49. Solve -3*l = l - w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -1036747?\nAnswer: -518373.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/25223385 and 97\/20728.\nAnswer: 201787080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:30 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 0.029.\nAnswer: -0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7000, -6997, -6996, -6997, -7000, -7005?\n\"Answer: -s**2 + 6*s - 7005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 6*k**2 + 4. Let s be l(-6). Let t = 61 + -58. Solve -3*p = -s*p + t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246181429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 7582*m**3 + 6*m**2 - 7537*m**3 - 7*m**2.\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6733.97 millennia?\nAnswer: 6733970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/303399707 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j - 38*j**2 - 1\/6*j**3 + 0. Let t(v) = -2*v**3 - v**2 + v - 2. Determine 2*g(b) - t(b).\nAnswer: 2*b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, m: 3}. What is prob of picking 1 d and 1 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 4*k**2 + 2*k**2 + (14*k - 8 + 8)*(4*k - k - 4*k) to the form d + v*k + g*k**2 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -0.2, 56, 5 in descending order.\nAnswer: 56, 5, -0.2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6777*s - 74541. Determine z(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 678 - 137 = -217 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.04 (c) 3\/2 (d) 0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 + -8 - -4) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1, 2, 1, -6763, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-14 - (-6 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h - 1. Let o be l(-3). Solve -o = -5*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 41391 = -3*a, p - 40*a - 8291 = -41*a. Does 54 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2829, -5740, -8639, -11526?\n\"Answer: 6*d**2 - 2929*d + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 4*y**2 - 2*y + 4.\nAnswer: 2*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*l**2)*(-6 - 3*l**2 + l**2 + 3*l + 1).\nAnswer: -4*l**4 + 6*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 14) in base 11?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593530 rounded to the nearest one thousand?\nAnswer: 1594000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 - 512*p\/13 + 514\/13.\nAnswer: -2*(p - 1)*(p + 257)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 + -8955258617.38?\nAnswer: -8955259171.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(102)\/sqrt(6).\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71912 and 1575196.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 14b565?\nAnswer: 14b566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 2. Suppose 3*m = -0*y - 2*y + 19, 13 = 3*m - y. Suppose 0*c - c = -m. Suppose c*f + 5*s + 5 = 40, f + 5*s - 27 = 0. What is w(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u**4\/u)**(-15\/8)\/((u*u\/u**(-5)*(u\/u**7)\/u)\/((u*u*u**1)\/(u*((u\/u**(-1\/2))\/u)\/u))) assuming u is positive.\nAnswer: u**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - -2. Let k = m - 64. What is the biggest value in 27, k, 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005786 to five dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, b: 4}. What is prob of sequence bbz?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*l + 15. Let x be l + -2*(-1)\/1. What is the second derivative of -8*d**2 + x*d**2 - 6*d + 7*d**2 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 59*j**2 + 321*j + 4480. Give x(51).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 3*m + 2*m)*(1 + 2 - 5)*(-2*m - 2*m + 7*m)*(1 + 4 - 7).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**5\/20 - b**4 - 25*b**3\/6 + 9*b**2 - 33*b. What are the prime factors of h(14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250345 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 14*x**5 + 3050*x**4 - 48340*x**3 + 244320*x**2 - 402624*x = 0.\nAnswer: -233, 0, 4, 36\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 + 5*u**2 + 19*u - 63. What are the prime factors of a(5)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by 2474790\nAnswer: -149\/1237395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1178419*o**4 - 1448280*o?\nAnswer: 14141028*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - z + 4. Suppose 0 = -u + 4*r + 20, 31*u - 28*u - 5*r = 25. Calculate c(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + sqrt(114) + 1*sqrt(114))*2)*3)\/((-6*sqrt(600) + sqrt(6))*1).\nAnswer: 15*sqrt(19)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 523 - 122. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26480?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 19, 13, 5, -5, -17?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.92 - 1.22. Let m = 1\/219 - -431\/1533. Put t, 2\/21, m, 4 in decreasing order.\nAnswer: 4, m, 2\/21, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxwzuwbbubw. What is prob of sequence bbuw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(0 + -4))\/((-127)\/6858). Let q(f) = 9*f - 238. Let h be q(p). Solve -55 + 80 = -h*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71789 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q**4 - 40*q**3 - 35*q**2 - 10. Let d(i) = -2*i**4 - i**3 - i**2 - 2. Let v(g) = 5*d(g) - z(g). Suppose v(u) = 0. What is u?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(1\/6)))**(28\/5)*(v\/(v**(-2)\/v))**1 assuming v is positive.\nAnswer: v**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 3)*(4*d - 2*d - d) + 1 - 1 - 2*d + d - 3*d + 0*d - 17*d + 100 - 100 to the form z*d + r and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 35 = 25. Let f be (-26)\/(-3) + (-4)\/(-3). Let i = f + o. Solve 4*j - 4*v - i = -0*j, -2*v = j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 1 j when three letters picked without replacement from gljkjlah.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 40602956.\nAnswer: -40602955.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 - 6*l - 4. Give y(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 11. Suppose 2*i - 4*w + d*w - 2 = 0, -4*w = i - 7. Suppose -b = -17 + i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 536*o**2\/5 + 20693*o\/5 - 10248.\nAnswer: (o + 61)*(o + 120)*(3*o - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -867624.5 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1442344 + -32?\nAnswer: 1442312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.70238 to 1 dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173445943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(-1005) - (-672)\/(-400)*(-1)\/9\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(510\/(-24))*-5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.87 + 0.13. Is -2 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116071.6473 nanoseconds to weeks.\nAnswer: 0.00000000019191740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 12:08 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4, -1, -0.04, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2145 + 2144.9. What is the closest to j in 0.4, -4, -0.4, -31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/6*(-21)\/14*4\/(-245). What is the biggest value in 0.3, k, 1, -0.2, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -683 at most -4105\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233972 is divided by 285.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 16. Let z = 0 - 24. Let m = 30 + z. What is the remainder when v is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 46059*f**2 + 46058*f**2 - 77*f**3 - 49*f**3.\nAnswer: -127*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6063963 months in centuries?\nAnswer: 0.00050533025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2\/8 - 822*j + 450456 = 0.\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 428290000 to the nearest one million.\nAnswer: 428000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5226486511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:38 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 - 3261*c**3 + 9774*c**2 + 4*c - 13032 = 0. Calculate c.\nAnswer: -1, 2, 3258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.06 + -3.36. Let u = -8 + 3. Which is the nearest to p? (a) u (b) -0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 157*f**5\/20 - f**4\/3 + 5*f**3\/6 + 3*f - 7. Find the third derivative of n(b) wrt b.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6860, 6866, 6862, 6842, 6800?\n\"Answer: -f**3 + f**2 + 10*f + 6850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 3*1*(-3)\/21*-21.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 5. Let c(m) = 60*m + 1095. Give f(c(x)).\nAnswer: 120*x + 2185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(-14 + 13). Let h(r) = -2*r + 1. Let y be h(-1). Put y, w, 2 in descending order.\nAnswer: y, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 3. Suppose -2*s + 14 = -2*r - 34, -5*r + 56 = 3*s. Suppose -4*h = 3*t - 2*h - s, -a*h - 29 = -3*t. Solve -3*u - 15 = -t*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-15))\/(-7) - 444\/(-4005). What is the second biggest value in -5, -0.4, x, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 10*b - 14*b. Suppose f = -b*s + 55, -2*s + 16 + 6 = 2*f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 4*a + 5 = 26*d - 12*a, 2*a + 5 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681629?\nAnswer: 13, 52433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144840 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 6. Let q be (-1)\/14*(-3)\/(-21)*-2. Let m = -145\/98 - q. Which is the nearest to z? (a) 4 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66784 (base 10) to base 2.\nAnswer: -10000010011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -294*p**4 - 142*p**2?\nAnswer: -7056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5731.7 to the nearest 100.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -9. Let d be u\/30 - 4\/(-5). Is (-1 + d)*641\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1060*h - 47. Let w(r) = -2*r + 15. Give m(o) + 3*w(o).\nAnswer: 1054*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 + 143 - (-1428 - 1) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 y when four letters picked without replacement from {t: 4, p: 2, w: 1, y: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*g + 20 = -378*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.39? (a) -2\/7 (b) -0.27 (c) 0.5 (d) 4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21\/28*(4144\/210*6)\/(6\/5)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.3832588 rounded to 2 dps?\nAnswer: 104.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3*sqrt(88) + sqrt(88))*4)\/((sqrt(50)*2 - sqrt(50)) + sqrt(2)).\nAnswer: 2 + 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 40906*l + 418325209.\nAnswer: (l + 20453)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*l - 1556 = -5*i, -i - l = -387. Let o = -201 + i. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88010.65l to millilitres.\nAnswer: 88010650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = 0, 3*o = -2*h + 4*o + 17. What is the greatest common factor of h and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbbzzzzz. Give prob of sequence zb.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 0*a + 2*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 17. Let h = b - 39. Find the common denominator of 4 - 3 - (-111)\/h and 7\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, -4\/3, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5562 is divided by 1091?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 9*l. Let m(v) = v**2 - 6*v. Let y(i) = -2*a(i) - 3*m(i). Let d(x) = -2*x**2. Give d(y(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569846 is divided by 641.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s - 6. Let c(u) = -99*u + 55. Let m(z) = 6*c(z) + 55*o(z). Let f(p) = 2*p**2. What is f(m(a))?\nAnswer: 242*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.64 + -0.74. Let r = -3 + v. Let s = 0.08 + -0.38. What is the closest to 0.1 in s, r, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1\/((-18)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 201100?\nAnswer: -201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.5107ns to microseconds.\nAnswer: 0.0725107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (14 + -85)) + (5 - 4 - -15).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from wxovoxcvhxohxxcvxvxv.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:09 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/3 + 13*i**2 - 7*i - 8. What is w(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**5\/20 - 8*y**3\/3 + y**2. Differentiate d(s) with respect to s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 106 = -4*q. Suppose -l = 4*l - q. Let g(h) = -6 + 6 + l*h + 3*h. Let y(b) = -b**2. Calculate y(g(a)).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*b + 16, -5*h - 10 = 3*b. Let j = h + -6. Let z(x) = -x**2 - 8*x - 4. What are the prime factors of z(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 + 12?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (1 - 2) + (27 - (-149 + 143))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-3)*(-21)\/(-28). Suppose 0 = -c + 4*c - a*r - 7, 5 = -r. What is the closest to c in 0.04, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39a1827 (base 11) to base 7\nAnswer: 112521112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 161822673 to the power of 1\/2, to the nearest integer?\nAnswer: 12721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111010001 + 100001010011?\nAnswer: 10000000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 3:20 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + (137 - 107)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.232 - 1.2. Let d = o + -0.1572. Let r = d + 0.13. Round r to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001100 (base 2) in base 8?\nAnswer: -3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 18. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 0 - 0) + 1300\/78. Is 14 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = -5*n + 15, 4*x = -5*n - 20. Let j(r) = r**2 - 25*r + 2. Let m be j(25). Suppose -3*h + 3*z + 15 = n, 1 + m = -z. Solve -4 - 6 = -h*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4681015 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 14) to base 12.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15d29 (base 16) to base 7\nAnswer: -521412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22807 rounded to the nearest one hundred?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(756)\/(3*sqrt(12)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.7 + 0.7. Let u = 12 + w. Which is the second biggest value? (a) 4 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/17 - 64*p**2\/17 - 134*p\/17 - 4.\nAnswer: 2*(p - 34)*(p + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -30, -71, -140, -243, -386, -575?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 24 = 13*d. Let b be d*(27\/(-6) + 4). Solve -3*v + b - 1 = -a, -4*v = 5*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((2 - (3 - 4)) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let n(o) = -2*o**2 + 3*o - 3. Let m(b) be the first derivative of -11*b - 4 - 7\/3*b**3 + 11\/2*b**2. Let k(t) = 6*m(t) - 22*n(t). Give l(k(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 4*r - 5*s, -4*r + 2*r = s + 42. Let n be (r\/5 - -4) + 16. Calculate the highest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-2))\/(((-3136)\/(-49))\/(-256)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 850933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, g: 2}. What is prob of picking 2 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = a, 5*b - 3*a + 8 = -a. Which is smaller: b or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121 * 3368.\nAnswer: 407528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - 6*sqrt(95)*-3))\/sqrt(5))**2 + -5.\nAnswer: 6151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1741, 7371, 16893, 30313, 47637, 68871, 94021?\nAnswer: 123093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -24. Suppose -3*i - 3*j = 2 - 5, -i = -5*j - 13. Suppose -o = -i*o + q. Solve 3*t + 18 = 2*w, -w + 25 = 2*w - o*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 6*n + 9*n - 28 + 9*n - 43*n.\nAnswer: -11*n - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 1.2. What is the biggest value in c, 2\/3, -5\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1767 and 31448667?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 - u + 2535 - 2935.\nAnswer: -u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-20) - (-42)\/10. Let o = -1 - z. Let h(a) = 8*a**2 + 3*a + 6. Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Let v = 5 + -3. Let l = -0.5317 - 2.4683. Sort v, l, y in descending order.\nAnswer: v, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:09 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (780\/(-180))\/((-24)\/(-18))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21 - 22 + 0*x - 2*x + 6*x - 3*x. Let b = -11 + 0. Let o(t) = t**2 - 5*t + 6. Calculate b*d(y) - 2*o(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3932)\/(-68810)*7\/2)\/((-2)\/(-1110))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 39248 = 30872. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -1366*n**2 + 27 - 6 + 1302*n**2 in the form a*n + g*n**2 + t and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/30 + -11\/10. Let y be (-4)\/10 + (-12)\/(-5). Which is the closest to x? (a) y (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/12)\/((-1)\/8). Let h(s) = 21*s - 1. Let o be h(5). Let v(n) = o - 104 + c*n. Let u(z) = 3*z**2. Give v(u(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1027245, 2054592, 3081939, 4109286?\n\"Answer: 1027347*v - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 54. Let k(g) = -3*g. Calculate k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + -36. Let s = 66 + y. Suppose -16 = s*j - 17*j. Which is the smallest value? (a) -8 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0 + l**3 - 7*l + 3 - 1 - 4*l**2 - 2*l**2. Calculate the lowest common multiple of 7 and h(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:01 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11407 = 4*y - 3458, -2*y - 4955 = -b. Calculate the remainder when b is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 2*v**7\/35 + v**6\/30 - 19*v**2. Factor d(q).\nAnswer: 4*q**3*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/5 - m**4\/5 + 18*m**3\/5 - 14*m**2\/5 - 17*m\/5 + 3 = 0. What is m?\nAnswer: -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzj when three letters picked without replacement from jjzzjzjzzzzzjjzzzz.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -227590208 divided by -152\nAnswer: 1497304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 + 2 - 2 + 4*j**2 + 2*j**2 - 5*j**2 + (-j + 7*j - 5*j)*(2 + 2*j - 2))*(-5*j + 0*j + 3*j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -18. Let f = -6 - h. Let q(u) = 0*u + 3*u - 4*u. Determine q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137da4 (base 14) to base 11\nAnswer: 421131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, 0.3, 5, -1, -1.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**2 - 5*i - 3. Let g be w(-5). Let z = g - -367. Calculate the remainder when z is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 292?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56706 and -0.5254.\nAnswer: 29793.3324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8758 + 0.03?\nAnswer: -0.8458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 106 = -w + 101, b - 35 = -4*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8)*8 - 5. Let y(x) = -2*x - 4. Let g be y(-4). Suppose 2*h - 2 = -u + 5, -5*h + 19 = g*u. Calculate the greatest common factor of u and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -16*z - 94. Let q be m(-6). Suppose -n + l = -4*n, 0 = 3*n - 2*l. Solve -4*p + n*g = q*g, -4 = 4*p + 3*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 5*o**2 - 2*o. Determine t(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302 is divided by 451.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1740 and 428130915?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 12. Let n(z) = -2*z**2 - 10*z + 30. Let w(p) = -2*n(p) + 5*t(p). Let b(o) = -9*o**2 - 185*o. Determine b(w(r)).\nAnswer: -9*r**4 + 185*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 1, x: 1, h: 1, b: 2, g: 2}. Give prob of sequence xf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.80219 millilitres to litres.\nAnswer: 0.08180219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + 4*h. Let n = 20 + -23. Determine f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 13, 443, -4, -3 in increasing order.\nAnswer: -4, -3, 1, 2, 13, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9638873 days to seconds.\nAnswer: 83279.86272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) - (sqrt(5) + sqrt(80)*1)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(1\/20)\/(2088\/(-3915)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593868107 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*r + 18 = 152*r - 300*r, 4*m + 4*r - 20 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeupeuuuee. Give prob of picking 4 u.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1307 = -5*x + 405, 2546 = 3*n + 2*x. Suppose 3*p - n = -5*t, -t - 577 = -3*p + p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50351.27 - -17?\nAnswer: 50368.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1432 = 8*h - 4*h + 2*s, 2*h = -5*s + 732. What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sassagaa.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 42 - (21 + -35 - 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 9, -16544\/23 in increasing order.\nAnswer: -16544\/23, -68, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/sqrt(9) + sqrt(17))**2*-2 + (sqrt(1700) - (sqrt(1700) + -5)))*-2.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4401801708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003559045376 to 5 dps.\nAnswer: -0.00356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-4 + 4 + 1)*(-j - 11*j - 3*j)*(3 - 6 + 1).\nAnswer: -120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 699710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10 and 101\/315.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.5543 centimeters in micrometers?\nAnswer: 2845543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27854 and 3703116.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 1, h: 7, p: 1, d: 3}. What is prob of picking 1 d and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (3\/(-19))\/((-21)\/(-4312))\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -132558 and 101501.1.\nAnswer: -31056.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63257 = -63*i + 80*i. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-39))\/(4\/12). Suppose -1 - 3 = -4*p. Sort 2, d, p in descending order.\nAnswer: 2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 2300*h**7\/7 - 44*h**3 - h**2 - 876. What is the third derivative of s(w) wrt w?\nAnswer: 276000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*u - 31 = 25, 0 = 2*r - u - 28. Suppose -r*h - 3 = -17*h. What is the units digit of ((-435)\/(-30))\/(h\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 186 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4529496 divided by -1509832.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 8, f: 4, w: 5}. Give prob of sequence wcw.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -19 + -15 + 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 7 + 0)*(y - y + 7*y) to the form h + n*y and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*(-4)\/24. Which is the closest to l? (a) 0 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54011729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1381 + 550240?\nAnswer: 548859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(44))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:36 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*u + 195 = 380*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43277 is divided by 3448?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let y(f) = -6*f - 6. Suppose 5*h = 13 + 17. Let w(c) = c**2 + c + 1. Let m(z) = h*w(z) + y(z). What is m(n(a))?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcvv when four letters picked without replacement from {c: 2, v: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -s + 9, -2*s = -2*l + 1 - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11663?\nAnswer: 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*d - 12 = 535*d. Let g(z) = d*z + 27 + 6*z - 20*z. Determine g(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + 27\/5. Suppose -48 = -f*v - 3. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 89, 127, 163, 197, 229?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 22\/5, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 >= 1311\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*((sqrt(180) + (sqrt(180) - (sqrt(180) - -2*sqrt(180) - sqrt(180))))\/sqrt(4))\/(sqrt(27)\/sqrt(3)*-6) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - 0. Let i = -57 - r. Let v be (2\/(-6))\/(5\/i). Solve -w = -v*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*m**2 - 231*m**2 + 2 + 117*m**2 - 2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:14 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3 + 10 + 38)*(-3 + 0 + 2)*(1 - 1 - h).\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**7*t**(1\/2)\/t*t**7*t assuming t is positive.\nAnswer: t**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w - 4*w)*(2*w - 3*w + 2*w)*(-6*w**2 - 6*w**2 - 10*w**2).\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 27375*z + 6*z**3 - 151 - 13683*z - 13688*z.\nAnswer: 5*z**3 + 4*z - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 3 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/5*(-150)\/(-20). Let v(b) = 3*b + 5. Let o(s) = 7*s + 11. What is j*o(g) + 13*v(g)?\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 33 = 3*a, -5*k - 2*a + 5*a = -47. Let h = 2 - k. Let j(y) = -y**2 - 6*y - 5. Let n be j(h). Solve 5*o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*-696\nAnswer: -167.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1066246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 4*p**2 - p)*(p + 4*p - 19*p) as t*p**3 + o*p**2 + f + v*p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4202.7195 to the nearest integer.\nAnswer: -4203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**2 - 6*v**2 + (4*v + 0*v - 2*v)*(10494 - 10494 + 150*v).\nAnswer: 294*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159632245 a multiple of 2073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/(-55) + 0)*(-7185)\/(-2). Which is smaller: 1434 or t?\nAnswer: 1434","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 47 + 1 + -10. What is the highest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -27668858.\nAnswer: -83006574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 2, l: 4, b: 2}. Give prob of picking 1 l and 1 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 + b + (-4 + 16 - 4)*(-5*b + 3*b + 5*b).\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 7*s + 8. Let k be z(-8). Suppose k*g + 1920 = -3*g. Round g to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k + 5 - 3\/20*k**5 + 0*k**2 - 1\/2*k**3 - 9\/16*k**4. Factor v(l).\nAnswer: -3*l**2*(l + 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2438, -2457, -2496, -2561, -2658, -2793?\n\"Answer: -b**3 - 4*b**2 - 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -31*v. Let o(d) be the third derivative of -3*d**4\/8 - d**3\/6 - 3878*d**2. Give f(o(h)).\nAnswer: 279*h + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 18211 (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*f = 263984, 0 = o - 4*f + 7988 - 74004. Suppose 3*h - 4*m - o = 0, m - 22000 = -h + 2*m. Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 2*o**3 - o**3)*(o - o + 2*o) - 3*o**3 + 0*o**3 + o**4 + o**3.\nAnswer: -o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.1429 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 757041?\nAnswer: -757034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 3583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.016 and 0.3712 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 2*w**2 - 4*w**2 + w**2 - 5*w. Let v be b(-3). Find the first derivative of -6 + v - s**4 + 4 wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/5 - 369633*j\/5 - 739254\/5 = 0.\nAnswer: -123209, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msw when three letters picked without replacement from msmwmmsms.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -4)\/((-2)\/(-2)). Solve 0 = 3*z + 3*f + 15, 0*z - y*f = -4*z + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57853*u - 7512 - 57852*u + 3504.\nAnswer: u - 4008","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1931, -1930, -1929, -1928, -1927?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*(-2)\/(-6). Let n = 25 + -27. Which is the nearest to 2\/5? (a) 2\/19 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.057 - -1.11. Let g = f - 4.053. What is the second smallest value in 3, -0.4, -1\/7, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26169 * 644\nAnswer: -16852836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -528280.3 to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-16)\/((u\/u**13)\/u))**(-3\/8))**(-21))**(-19) assuming u is positive.\nAnswer: u**(3591\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 197 = -2*h - 1383, 5*w + h = 1486. Is 297 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 15*d - 21. What is v(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 6. Let x be b(3). Solve 1 + 14 = x*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-133)\/21 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*h - 132 = 0, -h + 2*h + 112 = -x. Let m = 379 - x. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -1.6. Let z = -4018 - -4017. Which is the biggest value? (a) k (b) z (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 97*d**4\/12 + 2872*d. Let u(o) = 33*o**2. Determine u(v(y)).\nAnswer: 310497*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3)**(22\/3)*q**(-27)\/q**21 assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*3 + 11 + -10. Let b be (q - (-6)\/4)\/(290\/20). Sort -0.1, 0.2, b in decreasing order.\nAnswer: 0.2, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -16. Let s = 2.7 - h. Which is the second smallest value? (a) s (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 5*c**2 - c + 3. Let u be l(4). Suppose -5 - u = -5*n. Suppose -n*j + 239 = 27. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s + 1. Let f(i) = i**3 - 13*i + 1. What is 4*f(q) - 3*r(q)?\nAnswer: 4*q**3 - 10*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216755266 to the nearest integer?\nAnswer: 14723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 246, -91, 11, 0.1, -8, -1\/4?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3699 or 750?\nAnswer: 750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 28*t**3 + 216*t**2 - 464*t + 320.\nAnswer: -2*(t - 2)**3*(t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 - 65\/(-156)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14966.9 + -14967. Let d be 34\/(-10) - 6\/(-15). What is the closest to 0.1 in -2\/3, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 at least 3420\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (10 + -2)*-1. Let c(l) = 3*l + 8. Let t(u) = u. Let q(r) = c(r) - 4*t(r). What is the units digit of q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 62109426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*s + 2*f*s**2 - 14*f*s - 26547*f + 7*s**2 + 3*s - 666277 wrt f.\nAnswer: 2*f*s + 2*s**2 - 14*s - 26547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73517282 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 827 + -349. What is the remainder when l is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -408*x**3 - 183*x**2 + 172*x + 10. Determine h(1).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eit when three letters picked without replacement from {d: 2, e: 3, i: 3, c: 2, t: 1, h: 3}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 at most 12\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -11. Let y(d) be the second derivative of -7*d**3\/2 + d**2\/2 - d. Let m be y(-3). What is the greatest common divisor of m and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37678?\nAnswer: 2, 18839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30170631 and 4233?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + -2 - (42 + -41)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqnq when four letters picked without replacement from {q: 6, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7267913147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1029 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3 + (-23 + 99 - 48)*(3 - 2 - 5) + 2 - 2 - 1)*(j - 4*j + 2*j).\nAnswer: 115*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 1, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.74 or -4?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 143*(-13)\/26*(-12)\/39\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313938197 a multiple of 3756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(sqrt(54)\/sqrt(3))\/sqrt(6).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-30) - (-11)\/55 - -1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 2 (b) -4\/9 (c) -2 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 174, 223, 250, 255, 238, 199?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/4 + -5 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*c + 10 = -2*c, -4*g = c - 4. Suppose -4*z + 2 = 2*v - 3*v, -4*z - g = -3*v. Let y = 7 - v. Solve -4*d - d = y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213520 divided by 10?\nAnswer: 21352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4837315291.\nAnswer: 4837315291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13131*k + 118404. What is d(9)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/8))\/(z*z**(-3)\/z))\/(z**(-2)\/z**(1\/6)))**(14\/15) assuming z is positive.\nAnswer: z**(203\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-2)\/1*1) + 0. Suppose 26*i - 44*i + 13950 = s. What are the prime factors of i?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2615153 (base 8) to base 13.\nAnswer: -1c628a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 243464474 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s = -45*s. Suppose s = 5*w, -263 - 191 = -2*i + 2*w. Let l(c) = i - 2*c - 226 + 0*c + c. Calculate l(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) -3\/10 (c) 3\/2 (d) -21 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o**2 + 120*o - 134*o + 12 - 2*o**2 + 13*o**2. Is f(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d + 1. Let h(j) = -93*j**3 - 5*j + 5. Let p(c) = 4*b(c) - h(c). Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 372*u**2 - 12020*u - 25536.\nAnswer: -(u - 336)*(u - 38)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = -4*w, -w + 13 = y - 0*w. Let x be 8\/y*(207\/15 + -3). Find f such that -16\/5 + 16\/5*f + x*f**2 - 36\/5*f**3 = 0.\nAnswer: -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/9 - 52250*l**3\/9 + 122008*l**2 - 1569064*l\/9 - 7948384\/9 = 0 for l.\nAnswer: -26146, -2, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 12. Let s = 2\/30167 + 90493\/120668. Which is the closest to u? (a) -5 (b) -1 (c) s (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.3. Let g = p + 0.1. Let k = g - 0. Is k bigger than 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 + 116 = 27*t. What is the second smallest value in -1, t, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let a(d) = -295694*d**2 - 2*d. Calculate a(n(k)).\nAnswer: -295694*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**6\/120 + a**3\/3 + 9. Let f(o) be the third derivative of l(o). Let b(p) = -4*p. Calculate f(b(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**6 - 2*d**2 - 3*d**2 + 6*d**6 - d**2 wrt d.\nAnswer: 1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**2 + 42*u + 2. Let n be d(7). What is the tens digit of n\/3 + 2660\/15 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13104?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*g + 2*l, 50 = g + 2*g - l. Suppose g*c - 114 = 12*c. What is the lowest common multiple of (-212)\/(-18) - 2\/(-9) and c?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 91*m**2 + 1045*m + 15. Determine v(55).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 37*x - 712*x**3 + 1466*x**3 - 777*x**3 + 0.\nAnswer: -23*x**3 + 37*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001230596 rounded to 5 dps?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(5\/(225\/(-6))). What is the units digit of ((-2)\/5)\/(1\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**4 + 5*o**4 - 2*o**4)*(-48 + 82 - 63)*(-1 + 1 + 2) + 4*o**4 - o**4 - 5*o**4 to q + m*o + c*o**4 + b*o**2 + f*o**3 and give c.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 20*s**3 + 19*s**2 + 19*s + 27. Let g(x) = -19*x**3 - 19*x**2 - 18*x - 26. Let h(o) = -2*c(o) - 3*g(o). Let p be h(-16). Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 121009, 121114, 121217, 121318, 121417, 121514?\n\"Answer: -k**2 + 108*k + 120902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = -0*f. Suppose p - 1 - 4 = 0. Suppose -f = -p*h + 10. Solve -l - h = -3*w, 3 = 3*w - 3*l - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -459, -698, -949, -1218, -1511, -1834?\nAnswer: -2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61524850 rounded to the nearest 1000000?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9960 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7296 and 256?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*r + 70, -r + 2*b = -0*b - 21. Suppose -4*j - 35 = -5*q + j, -3*q = -j - r. Solve -6 = 4*o + q*f, -o - f - 4*f + 21 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:54 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 461. Suppose -g - m = -6*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -2.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-7)*((-4372)\/6558)\/(4\/(-21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 801*z**3 - 270*z**3 + 18*z - 264*z**3 - 269*z**3.\nAnswer: -2*z**3 + 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 minus 288374?\nAnswer: -288511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 14 - ((1 - 11) + 13)) + -47.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14422.\nAnswer: 2, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194369.\nAnswer: 7, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320079?\nAnswer: 3, 106693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -5*f**4\/12 - 10*f + 1. Let a(t) = -2*t + 5*t - 3*t - t. Determine a(o(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18288.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 80384333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(209\/(561\/51)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 5, t: 15}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/35)\/(2\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7*o + 8*o = 25, 0 = -4*l + 2*o + 34. Let p(i) = -i + 13. Let d(a) = 2 + 3 - 4. Let z(v) = d(v) + p(v). What is z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 103221920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 - 215.6. What is the third biggest value in 5, 3, g, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - 30 - ((4 - -3) + 15 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2234 + 3?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/3 + 15*g**4 + 234*g**3 + 4460*g**2\/3 + 3592*g + 2880 = 0.\nAnswer: -18, -15, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -r - 218181, 278*j + 4*r = 283*j - 218184. Is 43636 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 4, n: 5}. What is prob of sequence oo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 91782.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3150 and 1110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 102 - (240 + (-281 - -148))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o - 34 + 9*o - 8*o + 11*o + 0*o to f + m*o and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/6)\/7*(-6585)\/1756.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytte when four letters picked without replacement from {t: 4, d: 2, e: 3, y: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*p + 8*p - 2673 = 209*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 131\/18*r**3 + 127\/24*r**4 + 1\/4*r**6 + 16\/3*r**2 + 2*r + 19\/10*r**5 + 10. Let t(x) = 0. Calculate x.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 7 - 4 + m + 0 + m**2 in the form u + o*m**2 + y*m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 2, 0, 1, -2, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/12 - 5*p. Let q(o) = 15*o**2 - 7*o - 7. Let m(x) = 10*x**2 - 5*x - 5. Let s(k) = 7*m(k) - 5*q(k). Give v(s(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123733 + 249326. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 27*t**2 - 23*t - 73. Let w be h(26). Let o = 4 - 5. Let c be 11 - 5 - (4 + o). Solve c*b = -2*g + 12, w*g = g + 5*b - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**6\/35 + 4*w**5\/35 + w**4\/7 - w**2\/7 - 10*w. Let i(m) = 0. Calculate m.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-9)\/18)\/(2\/(-2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 165446930, 165446931, 165446932, 165446933, 165446934, 165446935?\n\"Answer: z + 165446929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 20?\nAnswer: 19\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 - 16*h + 22. Let l be k(3). Calculate the common denominator of (-4029)\/300 + 12 - l\/4 and 17\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4 + 213*u**3 - 2172*u**2 - 852*u + 8640 = 0.\nAnswer: -80, -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + z + 2 = 5, 2*z + 10 = 0. Suppose 5*q = 21 + 19. Let f = -5 + q. Solve 0*n + 5*i - a = -3*n, f*i - 14 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1199)\/218*40\/(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 214, 276, 338, 400, 462?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/12 - 8*p**3\/3 - 63*p**2\/2 + p + 60. Factor o(i).\nAnswer: -(i + 7)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208771 - -1905771. Round l to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*z - 9*z. Let u be ((-54)\/(-10) - (-6)\/10) + -3. Suppose -u*w - 511 = -z*w. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1845.258l?\nAnswer: 1845258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(-3\/4))))\/y*y*y*y**(-7) assuming y is positive.\nAnswer: y**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, -17, -46, -83, -128, -181, -242?\n\"Answer: -4*g**2 - 9*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 5. Let z(s) = -4*s + 9. Let a(b) = 2*b - 5. Let q(d) = -13*a(d) - 6*z(d). Give 5*c(i) + 2*q(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -3.5347609933.\nAnswer: -3.8347609933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 - -165. What is the remainder when 116 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x - 2*p + 22, -5*x + 29 = 3*p. Let q(r) = r**2 - 3*r - 4. Let l be q(x). Solve -4*c - t + 11 = l, c + 4*t - 10 - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(5\/2)*(z**0*z)\/z*(z\/(z**2*z))**(-22))**(-25) assuming z is positive.\nAnswer: z**(-2375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**5 + c**4 - c**2 + c + 1. Let f(k) = -30*k**5 + 4*k**4 - 55*k**2 + 3*k + 1. Let w(r) = f(r) - 3*x(r). Find the third derivative of w(v) wrt v.\nAnswer: -1980*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 + 3*t**3 - 7*t**3)*(0 + 0 + 2)*(-36 - 1 + 58) as c*t + n + q*t**3 + w*t**2 and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-10))\/3*(-140)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12030130 (base 5) to base 16.\nAnswer: 1b2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**38\/g)\/g*g)\/g**(2\/21)*(g\/(g\/g**(-26)*g*g*g)*g*g)**(-1\/60))**(1\/22) assuming g is positive.\nAnswer: g**(15689\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let d(u) = -16*u**2 + 8*u. What is d(k) + 8*f(k)?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - t + 12 - 8 + 2*t**3 - 5 + 0 + t**4 to a*t**2 + n*t**4 + v*t**3 + d*t + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4948 - -9251. Calculate the remainder when f is divided by 269.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3303 - -15033?\nAnswer: 11530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joo when three letters picked without replacement from jjjjjjjjjoojjjjjjj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = -3*k - 3, 3 = -2*k - f. Let n = 0.264 + 102.736. Let j = n + -110. Is k greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*k - 756, z - 4*k - 190 = 563. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 - 8*n**4 + 48*n**4)*(-21*n - 52*n - 22*n).\nAnswer: -3515*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(171)) + -4*-4*(sqrt(19) - sqrt(475)))**2.\nAnswer: 330*sqrt(19) + 57484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 1274180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l\/l**6*l*l*l**(-7)*l*(l**(-1\/4)\/l)**44 assuming l is positive.\nAnswer: l**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11813750 by -25.\nAnswer: 472550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {p: 1, a: 1, l: 2, j: 1, u: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 6749248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -19.71\nAnswer: 59.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 496743 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -3, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 2222 + 8175 + 3803 = 0. What is the remainder when t is divided by 96?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(242) + 3 + 1 + sqrt(242) + ((-2 + sqrt(242))*-2)**2))*-6.\nAnswer: -29622 + 4620*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-63) + (-10)\/(-45).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4826368, -9652747, -14479126, -19305505, -24131884, -28958263?\n\"Answer: -4826379*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -b624b (base 15) to base 5\nAnswer: -121441041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -56, 16442, 2, 5, -1 in ascending order.\nAnswer: -56, -5, -2, -1, 2, 5, 16442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 209\/4, -14, -58\/35?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45574308 by -3797859.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.6 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 6*a = 60 + 3080. Solve 167*u = a*u - 50 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*p = -7, -5*a - 2 = -5*p + 13. Let d = 2685 - 2687. Sort a, 5, d in descending order.\nAnswer: 5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/343 and 26\/2205.\nAnswer: 15435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m - m)*(m**2 - m**3 - m**2) + m**3 - m**3 - 3*m**4 + (-m**3 - 3 + 3)*(0*m + m + m).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**4\/12 + 4*s**2. Let d(z) = -3*z + 9 - 1 - 8. Give d(f(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (310\/(-31))\/((2 + 0)\/(-1)). Find the third derivative of -10*j**2 + 19*j**2 - j**q - 3 - 14*j**2 + 4*j**4 wrt j.\nAnswer: -60*j**2 + 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58386, 58390, 58394, 58398, 58402?\n\"Answer: 4*y + 58382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, 0.0163, -4.\nAnswer: -169, -4, 0.0163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**2 + c - 7. Let j(k) = k**2 + k. Let o(x) = 6*j(x) + y(x). Determine o(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = -5*h, -f - 3 - 9 = -3*h. Which is the third biggest value? (a) 8 (b) f (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -873, 313\/5, 4, 3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -409 + 402. Sort 0, b, -3, 9 in descending order.\nAnswer: 9, 0, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - 2.2. Let p = 174 + -174.0162. Let i = 3.0162 + p. Sort -2\/5, z, i, 0.2.\nAnswer: z, -2\/5, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + c**3 + 4*c**3 + (c**2 - c**2 + 2*c**2)*(-6 + 6 + c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 16. Let g(s) = -s. Let r be g(-2). Suppose 3*h - r*u - 16 - 32 = 0, h - 16 = u. Solve 4*l - 5*p - h = 0, 6*l + 3*p = 2*l + i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**4 - 375*n**2 + 13125 with respect to n.\nAnswer: -12*n**3 - 750*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2 + 123*w + 97. Let s(c) = -13*c**2 - 249*c - 195. Let r(l) = -4*s(l) - 9*x(l). What is the first derivative of r(g) wrt g?\nAnswer: -4*g - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s - 1. Let d(b) be the first derivative of 2*b**3\/3 + 2*b**2 + 3*b + 1. Let g be d(-2). Let n = g + -3. What is p(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -39. Suppose 3*d - 149 = -4*f, 5*f - 166 = -5*d + 89. Let l = d + -60. Sort m, 0, l, 1 in descending order.\nAnswer: 1, 0, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 972 - 971.3248. Let u = l - 0.61. Round u to 3 dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2647*z**3 - 1773*z - 5565*z**3 + 1847*z**3 wrt z?\nAnswer: -6426*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145634 is divided by 167.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*2*-6 - (sqrt(152)*2 + sqrt(152) - sqrt(152))\/sqrt(4))\/((sqrt(72) - -2*sqrt(72))*4).\nAnswer: -7*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:44 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.3 from -24052.4.\nAnswer: -24047.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217813 is divided by 530?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*4\/(-552)*((-1)\/1)\/1\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9766719 to the nearest integer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tss when three letters picked without replacement from {t: 5, c: 2, s: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 6. Suppose 3*w - 4*k + 6 = -d*k, -w = 5*k - 15. Solve w*h + 1\/2*h**2 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**3 + 4*j**2 - 3*j + 6. Let q(c) = -23*c**3 - 11*c**2 + 9*c - 17. What is 17*b(t) + 6*q(t)?\nAnswer: -2*t**3 + 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, 3\/8, -2\/7, 0, -0.5 in decreasing order.\nAnswer: 3\/8, 0, -2\/7, -0.42, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (6\/(-3) - -2). Suppose 11 = h*o - 9. Is (-2 + -2)*(-77)\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336545 (base 10) in base 8?\nAnswer: -5062341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1515767400 - 0.0209.\nAnswer: 1515767399.9791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 3, g: 4, p: 2}. What is prob of picking 1 l and 3 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 25 + 17. Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489895355 to the power of 1\/2, to the nearest integer?\nAnswer: 38599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaos when four letters picked without replacement from {s: 1, o: 1, y: 11, a: 2}?\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/560 and 81\/21980.\nAnswer: 87920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1314 - -1470. Calculate the remainder when l is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbhh when four letters picked without replacement from {u: 2, b: 3, h: 10}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0.33, 2, -25, -4?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -2\/17, -0.1525?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144554418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 27. Suppose 0 = -2*l - q*r + 4 + 2, -15 = -3*r. Let o be l\/10 + 16\/5. Solve u = -3*y - 4, 0 = o*u - 6*u - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.678? (a) -2 (b) -25651 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13322 (base 4) to base 3.\nAnswer: -200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:32 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 98 = -8*k. Let q(m) be the second derivative of -m**5\/20 + m**4\/2 + 4*m**3\/3 - 7*m**2\/2 - 2*m. Let r be q(k). Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 1 (c) -23.4 (d) -4809\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303806 is divided by 391.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 3)*(x**5 + 4*x**5 - 2*x**5) - x**5 - 3*x + 3*x - 2*x**5 - 3*x**5 + x**5 - 2*x**5 + x**5 + 3*x**5.\nAnswer: -15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 12:49 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (92 - (-4 + 3)). Let r = -94 - p. Solve 3*d - r = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, e: 2, d: 1}. What is prob of picking 1 d, 2 n, and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - n. Let p(v) = -29*v**2 - 15*v. Let t(b) = 7*b**2 + 4*b. Let k(u) = 2*p(u) + 9*t(u). Determine 6*c(g) + k(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216827794 divided by -27134.\nAnswer: 7991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 + 9*l + 11. Let v be d(-1). Solve -5*h = 2*r + 33, 5*h + 45 = -v*r + 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 4. Let d = 8 - y. Solve 2 = -5*c + d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108*1)\/4*(-136)\/204?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/18)\/(-14*(-11)\/(-4620))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 3256304 = -3255877 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/20 + 7*d**4\/4 - 19*d**3\/3 - 19*d**2\/2 + 6*d + 2. Is v(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -45, -5 in descending order.\nAnswer: -3, -5, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 5, u: 5, b: 8, p: 1}. What is prob of sequence uub?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/308*-11*2\/24*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**5\/10 + d**3\/3 + 5*d + 10. Let p(i) be the first derivative of r(i). Factor p(f).\nAnswer: -2*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7)\/i)\/i**12*(((i\/i**(5\/2))\/i)\/i)\/(i*i*i\/(i*i\/((i*((i*i**8)\/i)\/i)\/i)*i)))**34 assuming i is positive.\nAnswer: i**(-5525\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6*h\/((h*h**0)\/h*h) assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372759 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006377 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 2\/29 (c) -18 (d) -2\/15 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -205366 and -205361 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7864 equal to -149424\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, 0.2, 5, -2\/7 in increasing order.\nAnswer: -2\/7, 0.2, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210339\/22 + 9558. Let b = 70633\/12 + -5882. Find the common denominator of b and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3. Let d(m) = -2*m**2 + 1. Let q be d(1). Let n = 62 + -65. Let s(c) be the second derivative of -c**5\/5 - 10*c. Calculate n*g(p) + q*s(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.1 - 28.1. Let p = -24867.14840212 - -24892.1484. Let h = c + p. Round h to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*r - 30*r - 406. Suppose 24*n - r*n = -3366. Calculate the remainder when n is divided by (26 - 1) + -1 - -2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -385526, -771060, -1156590, -1542110, -1927614, -2313096, -2698550?\n\"Answer: o**3 - 4*o**2 - 385529*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:22 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 313*v - 303*v - 1190. What is the lowest common multiple of 294 and v?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197\/2 - 238\/3. Let r = 615007 - 2460113\/4. Find the common denominator of r and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.003 and -1710114781011.\nAnswer: -1710114781010.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -14 + (2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 45 = 20*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:25 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/20*(2 - (-44)\/(-21)). Let n = -87 - -62. Let d = n - -25.3. Sort h, -0.5, d, -5.\nAnswer: -5, -0.5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:22 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 + 0\/(0 - 1). Suppose 0 = -3*i - f + 252, -i - 2*f - f = -76. Calculate the greatest common factor of i and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -2 (c) -4\/3 (d) -0.015 (e) -9\/265 (f) 2\/235\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**2 - 5*o**2 - 9*o**2 - o**2 to the form v + t*o + w*o**2 and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.367 in 1, -0.04, 3, -5\/26, -11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/11, 4\/953, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let n(c) be the first derivative of 3*c**2 + 30. What is n(g(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3*b - 4*w + 21 = 0, 2*b + w = 6. Let a(k) = 5*k - 1. Let v(m) = -m. Calculate b*a(s) + 6*v(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 4, c: 2, y: 7}. Give prob of sequence cfc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 12*c - 900. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwwgwwww. What is prob of picking 1 g and 1 w?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in -4, 588, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 416208 and 279864?\nAnswer: 16232112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*1\/10*5. Sort 5, 4, z.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-203)\/(-35) + 5)\/(4\/190). Calculate the greatest common divisor of p and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-308)\/(-14) - (5 - 2). Suppose -b*m - 39 + 438 = 0. Solve 4*d = z + m, -z + 19 = 4*d - 0*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Let b(i) = i**2 + 2*i - d*i + 0*i - 12*i**2 + 1. Calculate b(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 228?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, e: 14}. What is prob of picking 2 s and 2 e?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 375 = 351. Suppose 293 - 14 = -3*s. Let a = s - b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + 2110\/14. Let z = b - 22. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 1:49 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*n - 3*n. Which is bigger: -1\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37.611, 0.11, 1\/9 in descending order.\nAnswer: 37.611, 1\/9, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 498*h - 20943.\nAnswer: (h - 39)*(h + 537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8518955ml?\nAnswer: 0.0008518955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 29*p**2 + 8*p + 18. Let z be g(-4). Suppose 28*h - z = 3*h. Solve -8*a + 22 = -h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 5:19 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 12*a**2. Let n(u) be the first derivative of -u**4\/3 - 42*u + 29. Let s(l) be the first derivative of n(l). Give s(m(f)).\nAnswer: -576*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340\/11 or 89.7256?\nAnswer: 89.7256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 - q + 7. Let n be j(5). Suppose -g = -3*l - 47, n*l = 2*g - 2*l - 88. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.009 + -0.007. Let m = i + -0.00200121. What is m rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-8)*(-4)\/18. Let a = 1141 - 10255\/9. What is the second biggest value in a, 5, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1639 and 18029?\nAnswer: 18029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34309 is divided by 2870.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59616\/(-22356))\/(3\/(36\/(-752)))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:47 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -3 + 2 + 10. Let h(i) = 4 + i - i**3 + 2*i**3 + 8*i**2 + 0 - q*i. List the prime factors of h(-8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24338?\nAnswer: 2, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16456666?\nAnswer: 2, 8228333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -18*p - 10. Let q(t) = -6*t - 3. Let r(z) = 2*n(z) - 7*q(z). Let m = 34 - 26. What is the remainder when r(m) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -116, -235, -354, -473, -592?\n\"Answer: -119*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 541 = -12*s - 11*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-7)*m)**4 assuming m is positive.\nAnswer: m**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -11 + (-3 - -2) + 1 + -4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/4, -0.2, 3, -4\/3, 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 564*y**2 - 1634*y - 20. Let n(x) = 1410*x**2 - 4084*x - 48. Let l(p) = -5*n(p) + 12*q(p). Find the second derivative of l(r) wrt r.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366561975 by 3.\nAnswer: 122187325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -44\/23 (b) 1\/6 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*c, -3*z + 2*c + 10 = -6. Solve -3*w - u + 3 = -0*u, -5*w + z*u = -22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 17 + 1\/3*h**3 - 26*h + 25\/2*h**2. Factor p(x).\nAnswer: (x - 1)*(x + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 + 1 + -6 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -157? (a) -0.02 (b) 7\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 610460 = 4*j, 328798 = 2*j - 5*v + 23544. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3817 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 577911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*x**2 - 127*x**2 - 41*x**2 + 7*x**2)*(-2*x + 3*x + 2*x) to v*x**3 + m*x**2 + a + h*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 109 = -5*x, -180*x = -185*x + 11*i - 157 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-120)*-6*(-4)\/(-24)*-10\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*g = -250 - 182 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 84*f - 871. Let l be t(10). Put 2, 4, -2, l in decreasing order.\nAnswer: l, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 - 333 = 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:06 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 303.2 + -303.1. Sort 82, a, 3\/4, 5 in ascending order.\nAnswer: a, 3\/4, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-44)*16\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619 is divided by ((-22)\/6)\/(-11) - (-22)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**2\/7 - 242684826*o\/7 + 4907993730887523\/7 = 0.\nAnswer: 40447471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1 + 3*j + 0 - j. Let s(y) = 37*y + 3. Let t(w) = 54*w + 4. Let l(d) = -3*s(d) + 2*t(d). Give 5*l(m) + 6*u(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 7030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10146 - 7196. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -72.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/8*7760\/(-36375)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1269 + 1294. Let a(l) = -l**3 - 9*l**2 + 8*l - 10. Let n be a(-10). What is the second derivative of -c*i - n*i + 168*i**4 - 211*i**4 wrt i?\nAnswer: -516*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 89*y - 22*y + 12*y.\nAnswer: 79*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 5*r + 4. Let b(z) = 7*z + 102. Let g(o) = 2*b(o) + 2*f(o). Let k(c) = c. Determine g(k(h)).\nAnswer: -2*h**2 + 4*h + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227516?\nAnswer: 2, 23, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8705*c**5 - 749*c?\nAnswer: -174100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7920*i + 9833. Is o(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-26 + -43 - -53)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -84359 minus 166141174?\nAnswer: -166225533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3066*b - b**2 - 5 + 1541*b + 1529*b - 2*b**3 - 2*b**4 in the form i + p*b**4 + c*b**3 + w*b + d*b**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18495\/16 + -1157. Calculate the common denominator of m and 7\/(420\/5650)*(-2)\/40.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30882 and 313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.73 + -0.27. Let d = i - -12. Let h = -23\/2 - -13. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 230 + 22 = 0. Let v be ((-2)\/(-16))\/(((-1715)\/m)\/(-7)). What is the third smallest value in v, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 11*-7*4. Let o be (-1)\/2 + 117\/j. What is the third smallest value in -0.3, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/6 or 0?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 513616660 rounded to the nearest one hundred thousand?\nAnswer: 513600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*r + 889*j**3 + 163*j*r**4 with respect to r.\nAnswer: 2*j**3 + 652*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-512)\/(-1008) - (-4)\/(-14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -428.2 + 428.1. Which is the smallest value? (a) r (b) -3\/7 (c) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 + 6*k - 5. What is the remainder when d(6) is divided by -4 + -1 + 13 + 45?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 3\/2 (c) 1 (d) 47 (e) 7 (f) -0.054 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + -6. Let l = -38 + t. Let v = 72.5 + l. Round v to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10)**(-10)*((g\/((g**(16\/3)\/g)\/g*g))\/g)**(-50) assuming g is positive.\nAnswer: g**(350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - p + 5. Let t be g(0). Suppose 5 = -5*n, -5*w - 5*n = -w + t. Solve z - 2 = -w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1419*l**4 - 13414*l**3 - 103374845?\nAnswer: 5676*l**3 - 40242*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 898. Suppose -6*i - 3*v + k = 0, -4*i + 4*v = -0*v - 568. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 596214.972 to the nearest one thousand.\nAnswer: 596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18708265 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-9 + 23 + -9 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.8 (b) -1\/4 (c) 1 (d) 3\/2 (e) -0.175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69369, 69366, 69363, 69360?\n\"Answer: -3*k + 69372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99, -182, -265, -348, -431, -514?\n\"Answer: -83*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(175) + -2)*-6)**2 + ((-1*(sqrt(175)*2 + sqrt(175)) + 2)*-2)**2.\nAnswer: -36240*sqrt(7) + 639916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc (base 16) to base 2.\nAnswer: 11011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 17, 5.\nAnswer: -27, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-4)\/(-70))\/((-35)\/(-49)). Which is the third smallest value? (a) f (b) -3 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216991457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h + 1442 = -3*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130985 and 3.\nAnswer: -392955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 12*i = -37, 7*i - 11 = 3*a + 13 - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 12623*j - 65 - 67 + 196)*(-3*j**2 + 6*j**2 + 0*j**2).\nAnswer: 37869*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 15. Which is the nearest to 1? (a) g (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b + 14. Let a = -4 + 10. Let c be p(a). Factor c*v + v**2 - v**3 + 2*v + 2*v - 4*v.\nAnswer: -v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -1. Let w = 0.11 + -0.01. What is the closest to q in 2\/5, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 4*y + 0*y - 4*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-6 - 52) - (25 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 + 13*w - 1. Let h be (-48)\/18*(-153)\/(-68). Let j(i) = 4*i**2 + 6*i. What is h*q(g) + 13*j(g)?\nAnswer: -2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 + -91. Let p = j - 84. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 21*n + 4*n + 1 + 12*n.\nAnswer: 28*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miim when four letters picked without replacement from {i: 14, m: 5}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1000 * -1\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - ((-8 - -4) + 0) - (69 - 65).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046 = -911*q - 1356 - 23106 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 1. Let w(p) = -7*p + 105. Determine 2*r(o) - w(o).\nAnswer: 3*o - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 46*m**2 - 40*m**2 - 2 - 2*m.\nAnswer: 17*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-2)\/18*-1). Suppose -2*k + 52 = -5*a, -117*a - 5*k - 32 = -116*a. Let m be (12\/h)\/(2\/a). Solve -m*v = -4*i - 5 + 23, -4*v = -2*i + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6502552 by 1625638.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -44204220?\nAnswer: -44204231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -135, 5, 0, -4, -5 in descending order.\nAnswer: 5, 0, -1, -4, -5, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131 * -0.52874.\nAnswer: 69.26494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 263, 581, 899, 1217, 1535, 1853?\n\"Answer: 318*d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-6))\/((-2)\/3). Suppose w*n = n + 5*i + 29375, -49010 = -5*n - 2*i. Round n to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:30 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 5*h - 10 = -10*g, 0 = -h + 5*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -3, 4, -0.06, 12\/1625?\nAnswer: 12\/1625","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2) - -1 - (-84)\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 266.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -4901?\nAnswer: -4893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13*n - 9. Let j be v(-5). Let m = j + -49. Suppose -3*q + 35 - 5 = 0. What is the remainder when q is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.404*139\nAnswer: -1307.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, -4 in ascending order.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/10 + 82*s**5\/15 - 19*s**4\/2 - 56*s**3\/3 + 17*s**2 - 2*s. Factor m(f).\nAnswer: 4*(f - 1)*(f + 28)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114148.211 to the nearest one thousand.\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnnfffffnnafnaffffff. What is prob of picking 4 n?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*19\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3945 * -1045.\nAnswer: -4122525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 25. Let h be w(-24). Let i be (h\/(-33))\/((-16446)\/2736 - -6). Let c = 26\/11 + i. What is the second biggest value in -3, -14, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = -5*m, m = -q - q + 15. Suppose -4*z + m*z = 12. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010 (base 3) to base 6.\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**4 - 5*f**3 - 13*f**2 - 1000 wrt f.\nAnswer: 4*f**3 - 15*f**2 - 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9071986*t**5 - 13119*t**2 - t + 1 wrt t?\nAnswer: 544319160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -19780000 to the nearest one hundred thousand.\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -405, -16, -19, 3, 0, 17 in descending order.\nAnswer: 17, 3, 1, 0, -16, -19, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -90\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1392*q**2*t**2 + 26117*q**2 - 14*q*t**4 with respect to t.\nAnswer: 2784*q**2*t - 56*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2141 - 2141 + 38*d**2 + (-3 + 4 - 3)*(-2 + 2*d**2 + 2) in the form l*d + c + o*d**2 and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1046140 - 9?\nAnswer: 1046134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 27055944000 to the nearest one million.\nAnswer: 27056000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472465482 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose -3*o = -5*a - i*o + 50, -3*a + 36 = -3*o. Which is smaller: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 70. Let y be -10*(q*4\/(-8))\/(-1). Solve 3*b - 8 = -4*a + y*b, a - 5*b = 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 158*z**2 + 1 + 210*z**2 + 116*z**2 + 230*z**2. Let s(d) = 2*d. Determine n(s(i)).\nAnswer: 2856*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/137824064 and 39\/44.\nAnswer: 1516064704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-21)*w*(w*w*w*w**0)\/w assuming w is positive.\nAnswer: w**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.51 - 34.49. Let v = l - -23.4. What is v rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 41850384*m + 109465915059216.\nAnswer: 4*(m + 5231298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.6353 from 13.\nAnswer: -2.6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 786937553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 11:14 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 4*d, 3*m = m + 4*d - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4*k = -11*f - 36, 24 = -2*f - 4*k. What is the second smallest value in 3, 3\/7, f, 6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + v**3 - 2*v + (v - 2*v + 12*v)*(-v**2 + 4*v - 4*v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 52*u**3 - 4*u**2 + 5. Let g(w) = 156*w**3 - 11*w**2 + 14. Give 11*b(n) - 4*g(n).\nAnswer: -52*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, -4, -3 in decreasing order.\nAnswer: -3, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -114. Let v be 2\/6*23\/(414\/12). Which is the third smallest value? (a) -4 (b) 1\/4 (c) v (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9375895 divided by 2.\nAnswer: -9375895\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2587 + -2269. What is the greatest common divisor of 4346 and v?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 687844 + -473715. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115588922 to the nearest integer?\nAnswer: 10751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 s when three letters picked without replacement from feerssffefe.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 1, g: 1, h: 1, t: 1, b: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**2 - 6*m + 9*m**2 - m**4 - m**3 + m**2 + 4*m**2 in the form c + u*m + l*m**3 + j*m**4 + q*m**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 380*p + 281*p - 569*p + (0*p + 2*p - 4*p)*(-1 - 1 + 3) + 0*p - 3*p + p in the form i + g*p and give g.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -1\/18*x**4 + 0 - 7\/90*x**5 + x + 1\/9*x**3 - 1\/45*x**6 + 2\/9*x**2. What is b in z(b) = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(3)*1) + sqrt(272) + 3 + -1)**2.\nAnswer: 20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*w - 32 = -w, 0 = z + w - 20. Let g be (3 - 18)\/((-6)\/z). Suppose 3*l - g = l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 449935 and 126367?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 152 - 22. Calculate the remainder when 77 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593573 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 137*d + 673. What is m(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3216 - 2070. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*l**5 + 176*l**3 + 922*l - 1.\nAnswer: -120*l**3 + 1056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 86979 times -2\nAnswer: -173958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*u - u - 3, 0 = 3*u + 4*w. Suppose p - 3*r + 9 = 0, -3 = -2*p - u*r + 9. Solve -3*j + j = p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 6 = 31*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*l = -10200, 8*x - 6*x - 5100 = 3*l. What is the greatest common factor of x and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 22*b - 7. Let a(j) = -16*j**2 + 43*j - 7. Let u be a(3). Let o be f(u). Is o less than 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1 + 2 + 4 - 2. Suppose -3*d + 40 = 5*b - 59, 3*b - 65 = -2*d. Let f be d\/c + 10\/25. Solve 5*y + f = p - 1, -3*p - 5*y = 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 3*i**2 - 6*i - 8. Let r be f(5). Let b be -1*(-5 - 0\/(-2)). Let x = r - b. Solve 3*o = -x + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -2*sqrt(104)*-6)\/(-4*-4*sqrt(8)))**2.\nAnswer: 2197\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*r - 16, -5*b = r + 2*r - 34. What is the second derivative of -6*k + 5*k + r*k**5 - 11*k**5 + 9*k wrt k?\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 121 - 463 + 114 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 15*d**2 + 6*d + 111. Let p be u(-15). What is the greatest common divisor of 2541 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*k + 7379 = 10295 + 17804 for k.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49.4 and 298.6?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.073 * -0.059.\nAnswer: 0.004307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 548417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - z**2 + (-1 - 3 + 2)*(5*z - 2*z**2 - 5*z) + 1 - 1 + z**2 - 3*z**2 + 2*z**2 - z**2)*(81*z - 723*z + 126210*z**3 - 126214*z**3).\nAnswer: -8*z**5 - 1284*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1147, 2212, 3277, 4342, 5407, 6472?\nAnswer: 7537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1458, 1454, 1448, 1440?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w + 867 = -884 - 209 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -5*s, -s + 0*s - 1 = -2*p. Let l be 0 + p + 37540\/(-288). Let f = -1109\/9 - l. Calculate the common denominator of f and -93\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. What is the derivative of 0*u**3 - 6 - 5*u**3 + 5*u**3 + i*u**3 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 564.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (25222 - 3\/(18\/3)) + (-403)\/(-806)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 21*q - 12 = 0. Let o = -6222 - -6224. Solve o*n = 0, 2*n = z + 1 - q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 4, -16 in decreasing order.\nAnswer: 4, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/11*4 - 115206\/(-462) is divided by 90?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/15))**24)**(-26) assuming f is positive.\nAnswer: f**(-3536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 20574344?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 7*g + 48 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - a = -0*s + 61, s + 3*a = 17. Let b(k) = k - 14. Calculate the remainder when 35 is divided by b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3591 + 75 = 293*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 16*z**2 - 37*z + 7. Let a(f) = f**2 + 2*f - 1. Let q(p) = 2*a(p) + c(p). Let l be q(-11). Solve -l*j - 10 = w, w + 4 = -3*j - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 2*s + 3. Let o be x(-2). Let p be 12\/o*-3 + -2. Suppose -3*q = 2*v - 13, -5*v = -p*q + 22 - 7. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 7308\/90 - (-33)\/(-15).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 8:57 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -116. What is the remainder when 111 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -7, 5, -1 in ascending order.\nAnswer: -7, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 11:12 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1))\/l*l*l)\/(((l**(1\/2)\/l)\/l)\/l))\/(l**(-1\/5))**(-3\/19) assuming l is positive.\nAnswer: l**(659\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -239147, -478022, -716897, -955772, -1194647, -1433522?\n\"Answer: -238875*y - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*o**3 + 162*o**3 - 79*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3)*(-9)\/(-6). Suppose -s*y + 4 = 2. Let v be (3\/9)\/(y\/9). Put -0.4, v, 4 in increasing order.\nAnswer: -0.4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45, -16, 41, 132, 263, 440, 669, 956?\n\"Answer: g**3 + 8*g**2 - 2*g - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 70. Let w = 95.6 - x. Which is the closest to 1\/15? (a) -1 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-8) + (-1346)\/(-8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 18 = -4*u + t, 2*t = u - 7. Sort 1, u, -5.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10627072?\nAnswer: 2, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -0.4 (b) 4 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-429)\/26)\/11*(-551)\/(-261)*(-2)\/(-2).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7059120399.\nAnswer: 3, 784346711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3\/2 - 325725*g**2\/2 + 814260*g - 651400 = 0. Calculate g.\nAnswer: 1, 4, 65140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 13) to base 14.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1176*b + 5540 - 23180 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2550*x**2 + 395251*x + 155. What is w(-155)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 367047367203+96.9\nAnswer: 367047367299.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13056)\/4080)\/(2\/(-35))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 3. What is the units digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21463545, -21463547, -21463549?\nAnswer: -21463551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 114*x - 219. Let d be k(2). Let r(c) be the second derivative of -c**2 + d*c + 1\/6*c**3 + 0. What is r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-14)\/(-21)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25\/3 + 76\/9. Let g(l) be the first derivative of t*l**4 - 5\/27*l**6 - 2\/15*l**5 + 3 + 0*l + 0*l**3 + 0*l**2. Factor g(c).\nAnswer: -2*c**3*(c + 1)*(5*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 98 + -1407?\nAnswer: -132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -592 + 594. Suppose -4*x + c*p = 4*p, -x - 5*p = 0. Solve 3*h + 4*i = -28, -4*h + 5*i - 4*i - 12 = x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x + 20. Let i(j) = -j**2 + 6*j - 1. Calculate i(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16092869 and 3140072.\nAnswer: 128742952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 365*v**4 - 6 + 4325*v**2 - 8650*v**2 + 4326*v**2 + 272*v**4 + v**3 to the form o + t*v**4 + x*v**3 + m*v**2 + l*v and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48999695166539 - 0?\nAnswer: 48999695166539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 32 = -5*q, 5*q - 29 = 2*d + 15. Suppose -63*b + 62*b + 27 = 0. What is the remainder when 48 + 1 + q\/4 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 427 + (-2 - -2 - -2). Suppose 7*u - 15 = 2*u. Suppose -3*z - u*t = -8*t - m, -5*z + 715 = 3*t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 23 = 308. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.118 + 119.118. Let s = -303 + b. Let i = 183.897 + s. What is i rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/d**(-1)))**(2\/105)*d**(-3)\/d**0)**32 assuming d is positive.\nAnswer: d**(-10208\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23119 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Suppose f + 5*p = 4*f + 5, 3*f = -p + 1. Solve 2*q - z - 5 = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1516.22359 to 1 dp.\nAnswer: -1516.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + (-12 - -22) + 3 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3) + sqrt(3)*-2*-1).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101434373?\nAnswer: 29, 359, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2525132 (base 6) to base 2\nAnswer: -100001001011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 - 252*i**2 - 1 + 3 in the form y*i**2 + c*i + g and give y.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341021 - 200?\nAnswer: 340321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2 + 3*z + 6. Let o(q) = q**2 + 1. Let v(j) = -g(j) + 6*o(j). Let c be v(-2). Suppose 2*h + 18 = 2*y + 4*h, c*h + 6 = 0. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, -0.2, 22, -530.95 in ascending order.\nAnswer: -530.95, -1, -0.2, 0, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 4*s**3 - 10*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*k + 0*k + k)*(3 - 5 - 2)*((-1 + 1 - 2)*(4*k + 3*k - 6*k) + 2 + k + k - 3*k) in the form j*k + o*k**2 + d and give o.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 232*q - q**2 + 8*q + 120*q - 3*q**2 + 18*q**2 to the form m + w*q**2 + c*q and give c.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*t + 24*t + 26*t + 23*t + 33*t - 34.\nAnswer: t - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 413290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2088 + 8.2088. Let f = -24 - -23.8. Do f and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 684 - -7?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61 + 30874?\nAnswer: 30925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -1156 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179 - 107. Let g = y + -64. Calculate the remainder when 55 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 11 - 20 + 31. Let k(x) = -8*x**2. Calculate s(k(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 1684565 = 831365 - 913214. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 4. Does 23 divide (-2)\/u - 15198\/(-78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8*p + 609 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 17*o - 2*o**3 - 5*o**3 + 6*o**3 + 19*o**2 + 13. Let d be c(-18). Suppose -28 = d*s - 33*s. Calculate the common denominator of -23\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 10*y**2 - 23*y + 18. Let c(q) = 8*q**3 - 3*q**2 + 3*q - 1. Let m be c(1). Let u be o(m). Solve -2*s = -j + 11, j = u*j + 4*s + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22408310 and 40.\nAnswer: 89633240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 71?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*w + 2\/5 - 1\/5*w**2.\nAnswer: -(w - 2)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/63*(-6)\/52.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3333 is divided by 3286.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1. Let n(i) = 3*i - 36. Let t(p) = 5*m(p) + n(p). Let o be t(16). Suppose 0 = o*j - 0*j + 14. Sort -4, j, 1, 0 in ascending order.\nAnswer: -4, j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -552 + 548.23. Let t = -0.23 + f. Which is the closest to -1? (a) 2\/3 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 618279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 71*b = 34*b - 2*h - 23, -5*b - 2*h - 25 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Let b = -3 - l. Sort -3, 1, b in descending order.\nAnswer: 1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 108*l**3 + 9*l**2 + 63*l**3 + 96*l**3.\nAnswer: 51*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 27 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5349 + 7935. Suppose -2786 - p = -34*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 109 = -329. Suppose 4*w = 7*w - m. Let a be w\/15 + 18\/135. Solve -4*v + d - 16 = 0, 3*d - 9 = a*v + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q)*(-6346*q**2 + 218*q + 222*q - 657*q + 218*q).\nAnswer: -6346*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1354 + -1353.411. Let h = -0.081 - p. Let m = -0.751 - h. What is m rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/(6\/27). Suppose -4*x = 3*u - 1 - d, 6 = u - x. Suppose -k = -z + 2*k + 12, 5*z + k = -u. Solve z*m - 2 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*a + 1057 = 0, 5*f - a - 1298 = -5*a. Let t = f + 520. Suppose -9*l = -t - 361. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 7. Let p be o(-6). Let l(f) = -f**2 + 4*f + 6. Let x be l(p). Let r be (6\/x)\/((-3)\/(-2)). Solve q - 5 = -r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 20542317974?\nAnswer: 20542317960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97668462.38647 - -97667873. Let o = z + 0.08647. Round o to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 4*v. Let t(i) = i**3 - i. Give j(w) + t(w).\nAnswer: 3*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1628 - 1456. Calculate the remainder when 652 is divided by y.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g**2 - 12*g - 22. Let f(x) = x + 1. Let j(k) = 12*f(k) + i(k). What is the derivative of j(p) wrt p?\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 4. Solve 6 + 4 = -5*n - 5*b, 0 = 2*b + q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/1443 + 33\/(-3354)*18.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 less than -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 2*g**2 + g - 19. What is h(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 10. Let k = x + 22. Let l = 15 - k. Solve l*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4599.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (16\/24)\/(20\/270)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**2 + 3*o**2 - o**2)*(972*o**2 + 3635*o - 3635*o) to h*o**4 + w*o**2 + g*o**3 + k*o + s and give h.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 2\/15, 77, 12\/29, 8, 0.1?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 22*x + 22*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/120 + j**5\/10 + j**4\/24 + j**3\/3 + 300*j**2. Determine p(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 645 and 688?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7730 is divided by 2125.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 2, v: 1, p: 1, i: 1, m: 2}. What is prob of picking 1 v and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**3\/3 - 3*q**2 + 4. Let r be p(-6). Let n = 4 + r. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 12*u**2 - 14*u + 8. Calculate w(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + -2*((sqrt(637) - (-1 + sqrt(637))) + 1 + -3))*4)**2.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, i: 5}. What is prob of picking 3 h?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/112*-3*154\/(-15180).\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11918.90667 + -1.\nAnswer: -11919.90667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19193*0.2.\nAnswer: 0.038386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94599077 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - 0 - (11 + -14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 18*z + 35*z = 10225. Calculate the remainder when 1248 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742820273 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5819*l = -5178*l - 73715 for l.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, 26, 153, 352, 617, 942, 1321?\n\"Answer: -m**3 + 45*m**2 - 79*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 6:31 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -15. Let v = x - -16. Let f(s) = -s**2 - 6*s - 4. Let d be f(-5). Sort -1\/9, d, v in descending order.\nAnswer: v, d, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25593248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5986)\/(-41) - 21 - 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6603 + 6608. Let g(j) = 2 - 6*j**2 + 3*j**2 + j**3 - 6*j - j**2. Determine g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/10 - 1) + 2. Let q = 2904 + -2415.8. Let h = -488 + q. Put -0.3, h, i in decreasing order.\nAnswer: h, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -11. Let l(h) = h**3 + 4*h**2 + 5*h + 4. Give l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910195.\nAnswer: 5, 11, 13, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/5, 13, -1\/3 in descending order.\nAnswer: 13, -1\/3, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1135 at least -618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8564 is divided by 1050?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*4*(-2*sqrt(143))\/sqrt(11))**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*a + 3, 2*a + 5 = 5*f - 2. Let l(p) be the first derivative of 0*p**f + 1\/2*p**4 - p**2 + 0*p - 2. Find the second derivative of l(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11.602 (b) -5\/3 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458, -426, -380, -314, -222, -98, 64?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + sqrt(3) + -1).\nAnswer: -6*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594441 (base 12) to base 14.\nAnswer: 296253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00541480076 rounded to four dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - 210*a + 4*a**3 - 109*a + 6 + 436*a - 117*a. Let o(x) = -x. Let z be o(-1). Let u(l) = -l**2 - 1. Determine z*p(k) + 6*u(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21580034?\nAnswer: 2, 7, 1541431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9991.\nAnswer: 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2518113 take away 29447?\nAnswer: -2547560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 153, 163, 173, 183, 193?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.2 + 8. Let x = 22\/15 + -256\/195. Is q <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5644405 + 45798.\nAnswer: 5690203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*w + 46 = -9, 4*c - 4*w = -228. Let i be 8\/12 - 380\/3. Let v = c - i. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 19. Let n(r) = -17*r**2 + 4. Determine y(n(v)).\nAnswer: -34*v**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28925 divided by -5785\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuukuuuuuuuu. What is prob of picking 2 u?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14270 * -0.0223.\nAnswer: 318.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110005 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 0 - 16 = 29*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r - 5*b - 20, -2*b = 3*r - 1. Let v(f) be the first derivative of -3*f + r + 2\/3*f**3 + 0*f**2. What is the first derivative of v(i) wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*w**5 + 805*w**3 - 20939*w**2 - 36?\nAnswer: 10560*w**2 + 4830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/4)\/21*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7463001*l**3 - 5895594*l**2?\nAnswer: -44778006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p - 307. What is v(10)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -3082566?\nAnswer: 924769.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31\/51?\nAnswer: 31\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 6. Let u be f(-6). Suppose u = 5*r - 101 + 21. Let w = r - 5. What is the least common multiple of w and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 9*v**2 - v + 10. Let s be u(9). Sort s, 5, 4, 2 in increasing order.\nAnswer: s, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2 - 137222*p - 4707469321 = 0?\nAnswer: -68611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 3 - 2*r**3 - 5 + 3)*(4*r - 2*r + 0*r) in the form w*r**2 + o*r + q + j*r**3 + p*r**4 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*v - 368, -2*v - 311 - 53 = -2*r. Suppose 171*j = r*j - 147. What is the remainder when j is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Let q be 3\/2 - 44\/8. Let d be (315\/14)\/((-2)\/q). What is the greatest common divisor of d and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 2. Let h(r) = 21*r - 8. Let y(v) = 9*b(v) - 2*h(v). Let z be y(2). Solve 4*x + 10 + 10 = -z*d, -x = 2*d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o**6 + 5\/6*o**3 + 3\/70*o**7 + 0 + 10*o**2 + 0*o + 0*o**5 + 0*o**4. Find the first derivative of z(p) wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:21 PM?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3*n - 75 = 0, 761*v - 30 = 759*v - 5*n for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/8 + -4 + 498\/16. Let m(k) = 31*k + 21*k - q*k. Let r(d) = d. Determine m(r(x)).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1768558 and 5771084.\nAnswer: 109650596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12462 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: What is 454650.1 years in months?\nAnswer: 5455801.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-66) + 25425\/990)*24\/9.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f - 10*f + 0*f)*(-4 + 6 - 4)*(-2 + 3 - 2)*(5 - 2 - 2) to the form a + u*f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93934 is divided by 98.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2801 - -2799)*(4\/(-6))\/(4\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:39 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h*i**3 + 6*h*i**2 - 5*h*i - h + i**3 - 15*i wrt i?\nAnswer: -18*h*i + 12*h + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 312\/755 - 2\/151. Find s, given that 3\/5*s**3 + 0 + 0*s - 12\/5*s**4 + f*s**2 + 7\/5*s**5 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -3, 0, -0.2, -439\/11?\nAnswer: -439\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hih when three letters picked without replacement from {i: 2, h: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -15*x - 30. Let h be c(-2). Solve -4*f + 2 = 2*t, 16 = -h*f + 2*f - 4*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-4)\/(-8)*-62. Let q = -43 + b. Let x = 34 + q. Solve -4*z - 3*v - x = 0, z + 2 = -2*z + 5*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -272. Suppose 7*w = 11*w - j. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*w + 3*o + 20, -w - 3*o = -13. Let l(u) = 4*u**2 + u. What are the prime factors of l(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*w**3 + w**4 + 51*w**3 + 14 + 8*w**2 + 1 + 3*w - 142*w**3 in the form b*w**4 + q*w**2 + u*w**3 + k*w + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 110?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1101 - 1069. Find the common denominator of (-206)\/2*(-4)\/24 and 140\/21*((-50)\/m - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5154102*u**2 + 54721756 wrt u.\nAnswer: 10308204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) + 21\/((-1890)\/(-200)). What is the tens digit of -8*((-45)\/90)\/(v\/548)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6763 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20472 - 233272 = -20*c - 30*c. What are the prime factors of c?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4944309651 and -1.\nAnswer: 4944309650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 21*z**2 + 12*z - 11. Let v be b(11). Solve -2*a + 2 = -v*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12) + 14\/6. Suppose -4*v + 0*p + 2*p + 154 = 0, 6 = -b*p. Find the first derivative of -1 - 10*g**3 - 37*g + v*g wrt g.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-13)\/39)*(-8)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 65940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6948643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118171447.\nAnswer: 23, 271, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1551 (base 8) to base 14.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and 174\/(-40) - (56\/(-35) - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-307901)\/(-9) - (10\/(-12))\/((-105)\/28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + q + 7. Let s be w(0). Differentiate -8*k**4 - 3 + s*k**4 + 7 with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324361 - 2295.35428?\nAnswer: 2322065.64572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 37*l - 1527328. Suppose -l = -3*a - 2*g, -4*a - 3*g - 38617 = -102256. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k - 5 - 32 - 18*k + 3. Let z be l(-5). Is 46 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 2*a**8\/7 + 11*a**4\/12 - 18*a. Find the third derivative of w(z) wrt z.\nAnswer: 1920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:48 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -37\/3 (b) -5 (c) -5\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 633217\/1596 - 1587\/4. Calculate the common denominator of 143\/210 and i.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/((-48)\/30)*384\/(-10). Let v = i - 118. What is the remainder when v is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7923101581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 + -52. Let q = z + 247. What is the remainder when q is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24*a**3 + 11*a**2 - 20*a + 31. Let h be w(5). What is the greatest common factor of 42 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 51. Suppose 4*c = 20, 2*u + 18 - x = -c. Solve o - 1 = -2*d, 3*d - d + 4*o = -u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 45. Let m be a(-49). Solve 3*i + m*q = 1, 4 + 0 = -2*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -23 - 16. Suppose 6*c - g = 11. Solve u = c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 + 871*i**3 + 492*i**2 - 867524 wrt i.\nAnswer: -4*i**3 + 2613*i**2 + 984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*v + 4493025 = 5*n - 320*v, 3*v + 4492985 = 5*n. What is n rounded to the nearest 10000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, m: 3, s: 1}. Give prob of sequence qqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7521426038 to the nearest integer?\nAnswer: 86726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18871 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20*2)\/((4\/(-350))\/((-140)\/350))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 82.52. Let v = -0.88 + p. What is the nearest to -1 in -3, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13622962 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 32672955018.\nAnswer: 32672955015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-1)\/2). Which is the nearest to x? (a) -0.3 (b) 2\/11 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -822042, -1644085, -2466128?\nAnswer: -3288171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4751258134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*o + 87*o - 1092 = 0. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3044545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149716937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - y + 2. Let x be l(-2). Let k(b) = b**3 + 5*b**2 + b - 5. Let u be k(x). Is 2\/u - (-540)\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268090616 + -3752?\nAnswer: 268086864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.7 + -1.3. Let r = 2\/2053 - 10271\/6159. Put r, -0.3, j in descending order.\nAnswer: -0.3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 431 - (2 + 12 + -16). Which is smaller: 430 or p?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6220521 divided by -16677.\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) -6 (c) -3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1787 and 275369552?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325910 is divided by 485?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*p - 37 = 0, 0*p + 2*p + 34 = 4*m. Is 26 a factor of -57*(m\/(-18) - (0 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 67*h**2 + 216*h - 422. Calculate s(70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 0*y + 2*y + (2 - 4 + 4)*(-3*y + 2*y - y) - 227 - 9*y + 227.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 2. Determine w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7215 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(220)\/(2*sqrt(11)))\/sqrt(10))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 3048*t + 61 - 61 - 3048*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*f - 10*f. Solve 3*v + v = -f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 - (-1 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(3\/(-6) + 0). Let v = u - 183\/4. What is the second smallest value in v, 0.1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 10*d**2 - 23*d - 18. Let r be i(-16). Suppose -1002 = 4*v - 2*h, -5*v - h - r + 630 = 0. Is 1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.02458 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3068234.\nAnswer: -1\/1534117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7128\/27720)\/((-6)\/(-7))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/((2*sqrt(10) + sqrt(10) + sqrt(10))*-1) + -5 + (0 + sqrt(20) - sqrt(20)).\nAnswer: -5 - sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47783*q - 2 - 47770*q - 567*q**3 + 95592*q wrt q?\nAnswer: -3402*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a0 (base 12) in base 6?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61023456 and 3276.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 7 + 8 - 15.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/9 - (-1)\/3. Let t be (0\/2)\/(6\/(-3)). Let v = t + f. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u - 0*u. Let h(c) = -2*c**2 - 8*c + 3. Let p be h(-6). Let i be (-3 + p)\/(-3) + -3. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263 - 178. 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 remainder when 12623 is divided by 1282?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 2*c**7\/525 + c**6\/100 - c**5\/75 + 2*c**2 - 24*c. Let l(t) be the first derivative of y(t). Factor l(f).\nAnswer: 2*f**2*(f + 2)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 83, 131, 183, 239, 299?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.485 + 0.885. Suppose -2*t = -2*h + t + 27, -4*h = 5*t - 21. What is the closest to h in 4, k, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-528)\/(-60)))\/(105\/(-42))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/120 + z**5\/15 + z**4\/6 - z**3\/2 - 9*z**2. Determine o(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 1\/10, -1452\/7, -199, 2, 4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370074343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/12 - (-52)\/24. Let r = 1 - 1.5. Suppose 0*i - 4 = -4*i. What is the nearest to i in -4, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l - 3. Let n(o) = 1. Let k be ((-1)\/3)\/((-6)\/18). Let v(a) = k*p(a) + 3*n(a). Let d(f) = f. What is v(d(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*q - 4. Which is the closest to q? (a) 11 (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(d*d\/(d**(-10\/3)\/d))*d)\/d)*d*d*d*d**(-22\/5)*d assuming d is positive.\nAnswer: d**(89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -325353 equal to -325353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 4*g + 3, 4*n + 14 = -0*n + 5*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sozosozvozoewzv. Give prob of picking 1 v and 1 s.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, l: 7, q: 5}. Give prob of picking 3 l and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 4*u**2 + 0*u**2)*(-1 + 2 + 0 + (-1 + 1 - 1)*(0 - 4 + 1)) to the form o*u**2 + r + d*u and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -32. Is (-12)\/(-8)*(-1 + k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 4 - -17 - -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 234 + (9 - 21) + 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6)*-1) - (sqrt(34)*-1)\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 8955*t**3 + 585408*t**2.\nAnswer: -3*t**2*(t - 3049)*(t + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/5 (b) -356 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 - r**3 + 0*r**3)*(-12 - 31 + 169844*r - 24 + 80 - 13) to c + p*r**3 + t*r + v*r**2 + h*r**4 and give h.\nAnswer: 169844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -4, -7, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2)\/y*y))**(-1\/35)\/(y**(-2))**(-9))**(-2\/5) assuming y is positive.\nAnswer: y**(1266\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = 2*z, 4*z - 2*w + 11 = -w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 685, 389, -397, -1913, -4399, -8095?\n\"Answer: -40*q**3 - 5*q**2 - q + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/18 + 7*l**3\/18 + 5*l**2\/6 - 22*l. Factor o(g).\nAnswer: (g + 1)*(2*g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46730064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from xyykyyxyxkkky.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5184755 divided by 5.\nAnswer: 1036951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvqfqfjfffjfujfv. What is prob of picking 1 u and 2 q?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 8 - 28. Calculate the highest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ifihhixxhhbhxhx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*t + 12*t**2 - 108*t)*(64 + 21*t - 64).\nAnswer: 252*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 16 - 156. Let q = 20 + -17. Calculate the lowest common multiple of b and (8\/q)\/((-6)\/(-36)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 64*f + 3. Let s(l) = 258*l**2 - 16*l - 9. Calculate r(s(q)).\nAnswer: 16512*q**2 - 1024*q - 573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98833?\nAnswer: 7, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -1\/5 (c) -56 (d) -1\/3 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1954 and 1?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1329*v - 17. Let q(r) = r + 15. Calculate q(t(n)).\nAnswer: 1329*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 11*s + 0 - 7\/2*s**2 - 1\/6*s**3. Suppose -5*x + 25 = -j, 4*j - 11 = -3*x + 4. What is o(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4174651 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkyqkkkkkkkkk.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*h + 2589 + 2741 + 2579 - h**3 - 452*h - 7909.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24678\/45 - 4\/10. Suppose 4*g + 3*r - 444 = 0, 2*g - 7*g = 2*r - x. Calculate the remainder when g is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.212 and 600260?\nAnswer: -127255.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7748.70742 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*m + 1, 6*u - 5*m + 13 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 + 8*u + 4. Let l(b) = 7*b**2 + 6*b + 3. Let n(t) = -4*l(t) + 3*y(t). Let i(x) be the first derivative of 9*x**2 + 1. What is n(i(g))?\nAnswer: -324*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128852037*w**3 - 31503777*w.\nAnswer: -773112222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = f + 30, 7*f = 4*f + 4*m - 95. Let o = -13 - f. Suppose 5*h = 4*a + 2*h - 2, 5*a + 5*h = o. What is the highest common divisor of 18 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/908 and 73\/52437?\nAnswer: 209748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3054 = -4*w, -315 = -o + 3*w + 1232. What are the prime factors of o?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -84 + 940. Suppose 22*p = 23*p - j. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 565. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7935271 + 23312996. Let m = 31248418.99921 - i. Let w = m + -152. What is w rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Let q be u(4). Suppose 3*p + 3*n = 3, -2*p + 3*n - 13 = -7*p. Find the second derivative of q*r**2 + r + 2*r - p*r wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 117687.\nAnswer: -353061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 1255?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.173 and 19.\nAnswer: 19.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 5.9. Let w = l + -5. Let p(v) = v**3 - 3*v**2 - 3*v + 1. Let j be p(4). What is the smallest value in w, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2793\/5 + 518. Let p = -41 - m. Let q be 82\/70 + (-48)\/(-20) + -3. Which is the third biggest value? (a) q (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 39*l - 102. Suppose -132*x - 2395 = -13*x + 223. Calculate c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.5 - 6. Let t be 4\/6*(-9)\/24. Let c = -0.9 - 0.1. What is the nearest to c in z, t, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1689474324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 35 = -5*q + 230, -m - 194 + 21 = -4*q for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4556*u**2\/3 - 9113*u - 6 = 0. Calculate u.\nAnswer: -6, -3\/4556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 516 = -3*g, -4*o - 7*g + 5*g = 2084. Let k = 1060 + o. Does 40 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*c - 5*y - 15, 4*c = 2*y + 10. Suppose c*o = 4*o + 14. Let t(i) = -3*i - 10. List the prime factors of t(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/4)*(-737)\/(-22)*(19 + -17).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 420, -0.06, -181.2, 5, 0.5, 1 in increasing order.\nAnswer: -181.2, -0.06, 0.5, 1, 5, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97064343 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34114*x**3 + 3*x**2 - 10190 with respect to x.\nAnswer: 102342*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**5 + 1212771*v**4 + 8555078*v**2.\nAnswer: 60*v**2 + 29106504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -46 (c) -3\/22 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -650771, -650787, -650803, -650819?\n\"Answer: -16*y - 650755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146153594?\nAnswer: 2, 73076797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -129, -224, -327, -438, -557, -684?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k**3 - 34*k**2 + 9*k - 14. Let t(q) = 5*q**3 - 16*q**2 + 5*q - 6. Let n(b) = -6*c(b) + 14*t(b). Determine m so that n(m) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = a + 5*v, -80*v + 34 = 12*a - 75*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107555 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 3, s: 4, e: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 0, 43 in decreasing order.\nAnswer: 43, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14775 * 2.\nAnswer: 0.2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c + 16 = 31*c. Suppose c*r + 0*r - 1101 = -3*z, 4*r = 3*z - 1083. What are the prime factors of z?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -56*v**3 - 2*v**2 - 2*v - 1. Calculate f(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - 4*o. Suppose -3*z = z - 8. Let w be l(z). Find the third derivative of -9*u**2 - 13*u**4 + 3*u + w*u - 7*u wrt u.\nAnswer: -312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20113132 (base 6) in base 16?\nAnswer: -8b130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2954 or 2956?\nAnswer: 2954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 3*b**2 + 2. Let h(q) = -q**3 + 5*q**2 - 4*q. Let x be h(3). Let v be (1\/(-2))\/(2*(-2)\/32). Let a = v - x. What is o(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178423 or -178429?\nAnswer: -178429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*10\/45)\/((-36)\/16)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*x - 602, 3*x + 1035 = 5*d + 5*x. Let p = d + -49. Suppose 12*n + p = 20*n. What is the greatest common divisor of 80 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.6204513 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + r - 30 - 62 = 21, c + 2*r = 19 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 2. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/69 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3635 = g, -5*g - 1308 - 2307 = -2*p. Suppose -n + 703 + 1725 = 4*r, n = -3*r + p. What is the greatest common divisor of 38 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 1)*(0*r**2 - 3*r**2 + 2*r**2) + r - 2*r**2 - r - 2*r + 2*r + r**2 + 222 - 222 - 16*r**2 to the form c*r + h*r**2 + y and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110110 - 10?\nAnswer: -1100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/185 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 6*g**2 + g - 7. Let q be 4\/(-3) - (-328)\/3. Suppose 0 = -2*m - 16*m + q. What is s(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0 + 11435*n - 5725*n + 0 - 5711*n. Let j(q) = q**2 - 2*q + 2. Let o(l) = l**2 - 3*l + 3. Let k(i) = -4*j(i) + 3*o(i). Calculate 2*f(y) + k(y).\nAnswer: -y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(13) + -1.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, 83, 252, 499, 824?\n\"Answer: 39*i**2 - 26*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96386?\nAnswer: 2, 48193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 11 = 3*o. Solve -k = o*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - 9*k - 12. Let m(t) = -t**2 - 1. Let p(f) = -6*m(f) - n(f). Let y be p(10). Solve -i - y = -q, -5*i + i = 2*q + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (79\/3 + 0)*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 90 = 5*m, 915804*m - 915801*m = -2*c - 41 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-6)\/(-2)*1. Suppose h*d = -d + 35. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 7.09712707383\nAnswer: -11.09712707383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157 is divided by 59 - 58 - ((2 - 75) + 2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/60 - 5*w**4\/12 + 17*w**3\/6 + 6*w**2 + 93*w. Determine a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -950884924 by 11.\nAnswer: -86444084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 2*p**4 + 2*p**4 + (0*p + p + 2*p)*(20*p**3 - 42*p**3 - 18*p**3) - 3*p**4 + 0*p**4 + 2*p**4.\nAnswer: -115*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-four fifths of a millimeter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-9))\/(2\/(-36)). Suppose 3939*x - 3944*x + 82 = -58. What is the greatest common divisor of u and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*g**3 - 2*g**2*n + 2*g**2 - 4*g*n - 2*n + 609 with respect to g.\nAnswer: 339*g**2 - 4*g*n + 4*g - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(5\/4)*c**(-3)*((c\/((c\/c**(-2))\/c))\/c)\/(c*c**(-2\/3)) assuming c is positive.\nAnswer: c**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -41 - (-126 - -145) - 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 8594, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c - 1. Let n(g) = 21*g. Give o(n(p)).\nAnswer: -126*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*o = 2*l - 3534, 5*l = -4*o + 3526. Let s(w) = -3*w**2 + 2*w**3 + l*w - 706*w - 9. What is the tens digit of s(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3 and (2\/(-8))\/((-20)\/68)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -31. Suppose -103 + d = -v. What is v rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Let b = -19 + 20. Let p(t) = -2*t**2 + 3*t - 9. Calculate b*p(l) - 6*x(l).\nAnswer: -2*l**2 + 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*l = 6*l + 59, -4*l = -3*g + 42. Suppose 2*n - 5*p + 16 = 0, n + 0*p + 2*p = g. Let j = -2 + n. Solve f + 0 + 3 = j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + f - 122 = 0, -4*k + f + 97 = 2*f. Let n be (-10)\/k + 26\/(-10). Put n, -1, 3 in decreasing order.\nAnswer: 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-88*t - 51*t - 81*t - 80*t)*(7 + 0 - 3) as v*t + b and give v.\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**2 + 23*q + 19. Let m(u) = -27*u**2 + 72*u + 55. Let w(h) = 11*f(h) - 4*m(h). Determine w(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-877 - -905)*-2*2\/(-16). Let m(s) be the second derivative of s + 0 - 1\/12*s**4 - 9\/2*s**2 + 5\/3*s**3. What is m(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*b**3*h**3*s - 5*b**3*h**2*s - 3*b**2*f*h**2*s + 3*f*h**3*s + 2*f*h + 2*h - 2*s wrt h?\nAnswer: 846*b**3*s + 18*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) 0.17 (c) -1 (d) -4473\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126068220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146996 is divided by 6391.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-1)\/4272*8)\/(-2*(-11)\/(-44))?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632 or -633\/56?\nAnswer: -633\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/56236 and -11\/1131336?\nAnswer: 19232712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + c + 67 = -0*c, -5*i - 3*c - 47 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 22*t**2 - 4*t**2 - 5 + (-2*t - 1 + 1)*(3*t + 4 - 4).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3))**(-45)*(s*s**(-4)\/s*s*s)**(-2\/91))**24 assuming s is positive.\nAnswer: s**(65616\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 311508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccvddchcchcchhvdc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1346*l**2 + 13551*l + 911. Give j(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52174 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 192840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53876 - 53876 - 2*s + s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m - 3. Let b be c(4). Let q(o) = -2*o - 7. Let y be q(-6). Suppose 2*k + b = d + 1, -y*d - 2*k + 28 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 19 = 2*m - 8, m = 2*k - 7. Let t = m + 16. Let i(d) = d**2 - 3*d + 2. What is the remainder when i(6) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**3 + 2*n**2 - n - 1. What are the prime factors of m(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-9))\/(4*(-2)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.056, 3\/305, -32.\nAnswer: -32, -0.056, 3\/305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.875409 to 3 dps.\nAnswer: -0.875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/29 + (-127019)\/(-20590) + -6\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11 - (-13618)\/460 - 19 and -85\/506.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by (-2)\/7 + (-163)\/(-7) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -23*u + 18*u + 3*t, u = -4*t + 16. Put -74, -3, 1, u in increasing order.\nAnswer: -74, -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 8 + 12 - 5. Let u(c) = -1. What is 3*a(x) - 5*u(x)?\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 10\/3, 0.1?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 144.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - -14. Suppose 0 = -40*q + z*q + 476. Suppose -782 = -7*m - q. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**3 + 2*x + 1. Let z be v(-1). Let s be (-5 - (3 - 3))\/(-5). Calculate the greatest common divisor of s and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 52*q**2 + 6*q + 266 + 19*q - 268. Let v(p) = 49*p**2 + 27*p - 1. Let u(y) = -4*s(y) + 5*v(y). What is the second derivative of u(w) wrt w?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhx. Give prob of sequence xh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 55*o + 334. What is the remainder when y(50) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9))**(-4\/5)\/(l**(1\/13)\/(l*l\/l**7)) assuming l is positive.\nAnswer: l**(138\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1080\/(-80))\/(-5*39\/(-130))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 20 = 4*x, -5*x = 6506*v - 6510*v - 47 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -153*g**2 - 158*g - 11. Give a(5).\nAnswer: -4626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/17)\/w*w**(-2\/7))**(27\/5)*(w**(1\/3))**(-29)\/(w\/((w\/(((w\/w**(-1)*w)\/w)\/w*w*w))\/w)*w*w**(-1\/5)) assuming w is positive.\nAnswer: w**(-37082\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - -54) + -1 + 1 + 1 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**5 + 4*f**3 - 4*f**3)*(-2 - 1 + 2).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 23*s**2 + 704*s + 6295. What is g(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - d + 4. Let u be b(3). Suppose 0 = -2*a - 375*g + 378*g + 84, g = 2. Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**8\/40320 - v**7\/10080 + v**5\/30 + 2*v**2. Let h(b) be the third derivative of x(b). What is s in h(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-9)\/u*u))\/u**(-31) assuming u is positive.\nAnswer: u**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2916 (base 14) in base 5?\nAnswer: -213042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310 - -317) + (4 - 63) - -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1. Let o(g) = -2*g**2 - 5*g - 5. What is -o(r) - 6*x(r)?\nAnswer: 2*r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2414, 4831, 7248, 9665?\nAnswer: 12082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffj when three letters picked without replacement from {f: 2, x: 4, j: 1, y: 8, m: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311037.\nAnswer: 3, 199, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183208264 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98550 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*g + 21, -a = -2*g - 0*a + 3. Let t be (g\/(-6))\/(95\/(-30) - -3). Solve 0 = -r + 2 + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 - 6*u**3 + 28*u**2 + 6*u - 27 = 0. What is u?\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z**3 + 161969*z - 7*z**3 - 11*z**2 - 161969*z + 3*z**2.\nAnswer: 14*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1136*s**4 - 21*s**3 + 3*s**2 - 1261127.\nAnswer: 27264*s - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + p + 2*p - 3*p + 7 - 7 + (-1 + 0 + 0)*(-2*p + 2 - 2) - 4*p + p + p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2241503 years in months?\nAnswer: 2.6898036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/68678, -4\/5, -6, 0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1. Suppose 31 = 5*g - 3*p, 5*p + 5 = -5*g + 20. Let d(k) = -9*k**2 - 6*k + 6. Let j(v) = g*d(v) + 35*u(v). Factor j(a).\nAnswer: -5*(3*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355 (base 6) in base 8?\nAnswer: -547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((3\/(-1))\/((-8)\/24*-9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + c?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 + 712\/(-104).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 9*k + 12. Let i be p(-7). Let j = i + -42. What is the biggest value in -1, j, 0.4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vohqhqxddxoxqq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6480 and 1005000?\nAnswer: 54270000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(204))\/(sqrt(24)\/sqrt(72)))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 - 4*j**2 - 3*j + 4. What is the tens digit of r(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(52\/32)*216 + 2. Let b = -145 - a. Let s = 11098\/793 + b. Find the common denominator of 31\/10 and s.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80812418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - a + 22 = -0*a, b + a = -10. Put b, 1, -4 in descending order.\nAnswer: 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3854261289 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -592, -1104, -1602, -2080, -2532, -2952?\n\"Answer: o**3 + o**2 - 522*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 5*r + 15, 3*d - 5*d = 5*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.8757 and -10.\nAnswer: 38.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from nnhnhznhznhnzzz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 276 - 276. Suppose i*j - 4*j + 4648 = 0. What are the prime factors of j?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, y: 1, b: 1, d: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 70 = 5*v, 2*c + 0*c + 50 = 4*v. Let l be (-6 - (-39)\/7) + 432\/28. Find the first derivative of l - 24 + 43*o + v wrt o.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17935634 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10995*u + 4381.\nAnswer: 10995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8263 - -8262.9. Let r = 0.9 - 0.7. What is the nearest to u in r, -14, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3650 - -11.\nAnswer: -3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 54?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -79*h**4\/24 + 57*h**2 - 50*h. Let k(a) be the first derivative of x(a). Let q(c) = -2*c**2. Determine k(q(w)).\nAnswer: 158*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/2241 and 53\/10.\nAnswer: 22410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 - 5427*f\/7 + 10866\/7.\nAnswer: -3*(f - 2)*(f + 1811)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3708398708915\/7472 - -496306038. Let d = -1\/467 + r. Calculate the common denominator of d and (2\/(-112))\/(2\/404).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/41)\/v)**(-2\/37) assuming v is positive.\nAnswer: v**(88\/1517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 32*b**2. Let a(n) be the first derivative of -n**2 + 19. What is a(q(g))?\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/24 - u**5\/20 - 19*u**4\/12 - u**2 - 1. What is the second derivative of t(i) wrt i?\nAnswer: -30*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -551 - -5?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 28.81. Let c = g - -0.03. Let p = -0.1600035 - c. Round p to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.085, 3, 5, -1\/4, 3\/4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j - 5 = m, 5*m = 20. Solve -19 = 5*c - 3*u + j, -3*c = 3*u + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 797550417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((9 - 3)\/(-3))\/((-8)\/12). Solve -4*x = k - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 222669507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5372*w**2 + 5369*w**2 + 3 in the form b + j*w**2 + u*w and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + 9 + -1 + 9 - 17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*o - 319*o + 1254*o - 281*o - 329*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 8*d**2 - 3*d - 1. Let x be -1 + 3 + (-13 - -3). Calculate the remainder when 44 is divided by c(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10972)\/2954)\/((-4)\/(-14))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 2*a**2 - 3*a - 2. Suppose 4*x = -5*f + 7*x - 10, 0 = -3*x. Let u be b(f). Let s(m) = 2 + 1 + 2*m**2 - 7*m + 2. Give s(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 + 3.5. Let o = -0.9 - -1. Let h = -31.72 - -29.72. What is the nearest to x in -4, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 602016, 602017, 602018?\n\"Answer: p + 602015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.4, -0.45, 0.03, 13.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 8*l**2 + 10*l + 8. Give v(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4147134*s**4 - 8320*s + 91 wrt s?\nAnswer: 49765608*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 0. Suppose -u*n = -2*n - 15. Suppose -4*c = -7*c + 12, 2*c = -4*m + 124. Calculate the remainder when m is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.212?\nAnswer: -1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129527, 129523, 129519, 129515, 129511, 129507?\nAnswer: 129503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -188776, -188777, -188778, -188779, -188780, -188781?\n\"Answer: -x - 188775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3500 = -3*s - 3482 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3901, 2, 0, -5, -6 in ascending order.\nAnswer: -14, -6, -5, 0, 2, 3901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54073, 54069, 54061, 54049, 54033, 54013, 53989?\nAnswer: 53961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 + 7*k + 5. Let w be y(-6). Suppose b - 3 = 0, 4 = -4*i + 3*b - 13. Let g = -0.05 + -0.35. What is the closest to w in i, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/30*(-9)\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20345, 40687, 61041, 81407, 101785, 122175, 142577?\n\"Answer: 6*r**2 + 20324*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 14*n - 300. Let v be s(-36). Which is smaller: 488 or v?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227755139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 2:10 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(264)*2)\/sqrt(12))\/(sqrt(450) - (sqrt(450) - (sqrt(450) - 2*sqrt(450) - sqrt(450)))).\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h + 12. Let s be g(5). Let k = s + 64. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 2. Suppose -20 = -0*i + 5*i. Sort y, 0, i.\nAnswer: i, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340222 is divided by 770.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 92 - 89 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 18. Solve 2*m + n + 3 = 0, 5*m = -0*m + 3*n - u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqoquqqqqqo. What is prob of sequence uuq?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8958317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 4, y: 3, a: 7, b: 3}. What is prob of sequence uj?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 28630*d + 9930. Let f be r(-11). Round f to the nearest 1000.\nAnswer: -305000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 + d + 3. Let m be n(0). Suppose w - 11 = y, 2*w = -m*y - y + 52. Calculate the remainder when 46 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 3*u**5\/100 + u**4\/10 - 24*u**3\/5 + 2*u + 4743. Find v, given that z(v) = 0.\nAnswer: -8, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*n - 11, 4*y + 2*n + 6 = -8. Let k(u) = -1 - 9*u + 1 + 1 - 2*u. Is 17 a factor of k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 408 = -4*w. Which is the second biggest value? (a) w (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -17.6. Let v = 3.1 + y. Let g = -7 - -7.1. Which is the nearest to g? (a) -1 (b) -3\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21959*l**5 - 3*l**3*t**2 + 8179*l*t**2 - l*t wrt l.\nAnswer: 439180*l**3 - 18*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 760305.87 rounded to the nearest one thousand?\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 11. Let u be i(15). Solve -3*r - 2*r = -u*f + 3, -3*r = f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14078 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8817 = 16*t - 19*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15 + 6*h - 25 - 5. Let r be n(8). Suppose r = 6*b - 5*b. Calculate the highest common divisor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296551941 and 1015.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3204365960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = 5*k. Let j(t) = -10*t - 1. What are the prime factors of j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174461283 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: Does 232 divide 5203760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32167 is divided by 143?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -90*i**2 + 3*i - 48 + 84*i**2 - 16*i + 443*i**2 + 171*i**2. Let h be j(8). Round h to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2512523311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 5\/699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1039384445 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x. Let l be (-6)\/(-12) + (2 - (-4)\/8). Let v(p) = -383 + 195 + 188 + l*p. Give v(n(f)).\nAnswer: 33*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z\/((z*z*z**(-2\/5))\/z))\/(z*z*z\/(z\/((z**12\/z)\/z)*z))*(z\/(z*z\/z**(-5)))\/(z*z**10*z*z))**(-13) assuming z is positive.\nAnswer: z**(1729\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174527 is divided by 169872?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 5*p - 2*p + (9 - 1 - 5*p + 4*p)*(3 - 2 - 3) as u*p + c and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + k - 3*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.048 - -97.952. Let g = 5781694.99874 + -5781597. Let v = j - g. What is v rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4273, -4357, -4441?\n\"Answer: -84*h - 4189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166480327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s - 13. Is q(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323233 (base 4) to base 6\nAnswer: -25411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 415.7429 + -3.0329. Let g = l - 410. Let u = 0.31 - g. Round u to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4\/7 (c) -326 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o - 4. Let x be s(-6). Let q be 5 - -1 - (-1 + 0). Let w = x - q. Solve -g + 15 = 3*d + 2*g, -5*d = -g - w 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 233148939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 - ((7 - 19) + -1 - -15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2383032*s**3 - 9392828*s**2 - 2 wrt s?\nAnswer: 14298192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*q**2 + 306*q - 92*q + 147*q wrt q?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 6*v + v. Suppose -i = 3*i - v. Suppose -g - 215 - 336 = -i*q, 181 = q - g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065495951.\nAnswer: 3, 13, 331, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 3*j - 5. Let v(w) = -122 + 37 + 41 - w + 40 - 2*w**2 - w. Give 5*r(z) - 6*v(z).\nAnswer: -3*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:21 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.66 - 6.34. What is the nearest to -1\/5 in -0.3, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.404 + -16.404. What is the biggest value in 64, f, -0.4, -3\/4?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 35*o. What is the remainder when 52 is divided by f(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 260 = -7*s. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201532.\nAnswer: 2, 131, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 35*w - 121. Let a(i) = -12*i + 41. Give 17*a(o) + 6*k(o).\nAnswer: 6*o - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 2, c: 1, q: 1, x: 5}. Give prob of picking 1 q and 1 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssausssuss. Give prob of picking 2 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11000100 (base 2) to base 14\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r. Let c(a) = -19*a + 19*a - a**2 + 0*a**2. Determine t(c(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 70, 94, 138, 208?\n\"Answer: q**3 + q**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1844*z**2 + 2278*z - 13703. What is the units digit of x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156283661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12112\/168 + 3 + 16\/(-168). What is the greatest common divisor of 28425 and w?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 12600. Suppose c + n = -3*c. What is c rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1768.303 nanometers?\nAnswer: 1.768303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4749 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (740\/(-60) + 13)\/((-1)\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - i = -2111, -427 = -u - 5*i. What is the tens digit of 4\/(-24) + u\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(4*u - 2*u - u) + 176*u + 2091 - 2091 + (-3*u + u + 0*u)*(0 + 3 - 1) as z + f*u and give f.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21578 = 3703*h + 180807 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v**4 - v - 5*v**2 + 12*v**3 - 12*v**3 - 7*v**2 as m*v**4 + i*v + k + d*v**2 + a*v**3 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1792*-2\nAnswer: 3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 29875*z + 29817*z.\nAnswer: -58*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -558551\/44 + 12692. Find the common denominator of h and -11\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1148806*x**2. Let o(k) = 3*k**2. Give o(b(m)).\nAnswer: 3959265676908*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-15)*j*(j**(-4\/5)*j)\/j*j**(12\/7)\/j**(4\/3))**(2\/95) assuming j is positive.\nAnswer: j**(-3028\/9975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, a: 3, e: 5, p: 4}. What is prob of sequence ea?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 148 = 5*d, 2 + 4 = -3*n. Let t = -36227\/11 - -3296. Find the common denominator of (4\/d)\/(1\/39) and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -594.29116\nAnswer: 2971.4558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 1701 = 349. What is the common denominator of 41\/12 and 2*3\/(-6) - f\/256?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19997*s + 716. What are the prime factors of a(-3)?\nAnswer: 17, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -830397000 rounded to the nearest one million?\nAnswer: -830000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -86787.007.\nAnswer: 8678.7007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**3\/p)\/p)*p)\/(p*((p**(-2\/3)*p*p)\/p)\/p))\/(((p\/(p*p**(3\/7)))\/p)\/p**(3\/4))*(p*p**0)**50*((p\/p**(3\/7)*p)\/p)\/p*p**(-2) assuming p is positive.\nAnswer: p**(605\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2694503.35 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.706 from -3.\nAnswer: -3.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2204358, -4408569, -6612632, -8816541, -11020290, -13223873, -15427284?\n\"Answer: v**3 + 68*v**2 - 2204422*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:28 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1144 + 1143.6. What is the closest to 0 in r, -1, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {m: 4, p: 8, u: 1}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331 + 2*f**2 - 331 - 8*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o + o. Suppose -3*t + 2*s - 31 + o = 0, 5*t + 4*s = -15. Is ((t - -5)\/((-2)\/(-622)))\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 17 - (2 + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 7 (b) 0.0405 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 1. Let u(j) = -2*j**2 - 8*j - 28. Determine 5*d(m) - u(m).\nAnswer: 2*m**2 + 18*m + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n**2 - 113*n**2 - 119*n**2 + 63*n**2 + n to the form g*n**2 + k*n + r and give g.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255.1 - -255. Which is the biggest value? (a) -1 (b) o (c) 2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -168e8?\nAnswer: -168ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/40 - -23\/40. Suppose 1 = b + 4. Let c = 6 + b. What is the second smallest value in c, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 359, 358, 357, 356?\n\"Answer: -a + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3 - 3*r - 9 + 9 - r**3 + 5*r**2. What is the lowest common multiple of b(4) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 384*y**2\/5 + 4606*y\/5 - 24\/5 = 0.\nAnswer: -12, 1\/192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/(q\/(q\/(((q*q**(-1)*q*q)\/q)\/q))))\/q)**(-12\/11)\/((q**(2\/7)*q)\/(q\/(q\/q**1)))*((q\/(q\/(q**(-6)\/q)))\/q**(2\/5))**33 assuming q is positive.\nAnswer: q**(-94967\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Let z = -0.44 - -0.04. Sort c, z, -3 in ascending order.\nAnswer: -3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96102469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n**3 + 7*n**2 - 7*n - 1093. Let m(v) = -10*v**3 - 6*v**2 + 6*v + 1102. What is -6*j(i) - 7*m(i)?\nAnswer: -2*i**3 - 1156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.46 and -1284?\nAnswer: 1283.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549708 is divided by 1598.\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/((-21)\/(-8)) - (-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47247*s + 47212*s - 832 = 1093 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - 0 - (-2 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51792 and 4.194.\nAnswer: -217215.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 18)*(2 + 2*p - 2*p + p) to z + s*p and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 896, 898, 888, 854, 784, 666, 488?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/9*-2)\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34529 take away -93066997?\nAnswer: 93032468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189.3 + -209. Let o = 20 + p. Let n = 6217\/102 - 365\/6. Which is the second smallest value? (a) -4 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -54. Suppose -2*t = -a - 7, -d*t + 0*a = -3*a - 15. Calculate the smallest common multiple of 4 and t\/1 + 1*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 7:04 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -424.\nAnswer: 4.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 2, 0*n - 3*n + 6*n = -2*q + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 1. Suppose -2*s - 2*t = 3*s - 15, 4*s - 12 = -5*t. Let f(o) = -o**2 + 5*o - 1. Give s*n(p) - 2*f(p).\nAnswer: 2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393046375.\nAnswer: 5, 7, 107, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69268 is divided by 87?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/13 in 1\/20, 1, -1\/2?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((21 + -2)*-2)\/(4\/(-8)). Let q = -137 - -212. Do d and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -350944 and 6.29504746?\nAnswer: 350950.29504746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/sqrt(7) + -3 + 1 + sqrt(49)\/sqrt(7).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/13 (b) -74 (c) -2 (d) 2\/5 (e) 511\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178258 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = -20. Suppose -5*p - 8 = 3*z, z = 6*z - p - 24. Suppose 4*y - 2*s = -0*s + 10, 4*y + z*s - 16 = 0. Sort y, i, 0.\nAnswer: i, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -2009*h**4\/6 - h**3\/3 + 2300*h**2 - 6202*h. Find the first derivative of q(t) wrt t.\nAnswer: -8036*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 308737*u**2 - 1797421 with respect to u.\nAnswer: 617474*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*q - 1. Suppose 60*g - 325 = -5*g. What is the second derivative of q*y**2 - g*y - 5*y + 3*y wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 3*k. Sort -1\/8, k, 2\/7 in ascending order.\nAnswer: k, -1\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.9 + -40. Let b = 100791 + -100786.100105. Let l = p - b. Round l to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -0.3, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - 2*q**2 + q - 2. Let c(a) = a - 7*a + 437*a**3 - 433*a**3 + 2 + 5*a + 1 + 3*a**2. Give -2*c(u) - 3*o(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 51*x - 333. Let k be l(7). Suppose -137 = -3*f + 1195. Calculate the highest common divisor of f and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524091 is divided by 2180.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:51 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(40))\/(sqrt(5) - sqrt(720))*3 + 0.\nAnswer: -3*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqskxqxkkqqks. Give prob of picking 2 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -441 + 443. Let w = -6.8 - -6. Let o = -0.3 - w. Which is the biggest value? (a) o (b) 4\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5224*v - 5115*v = 0. Let f(x) = x**2 - 1. Let w be f(2). Solve -l + w = -v*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 6*n + n)*(-384 + 43 - 619) to the form o + j*n and give j.\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s**5 + 5961*s**4 + 54987*s**3 + 108447*s**2 + 75702*s + 16296 = 0. What is s?\nAnswer: -388, -7, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7096786?\nAnswer: 2, 17, 208729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 994599131 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -5*v + 5*a - 207, -3*a = 2*v + 115. Let n be (-8)\/(((-6)\/v)\/((-6)\/4)). What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -2. Let u = 8.3 + -8. Suppose -9*j - j = -9*j. Which is the nearest to j? (a) t (b) u (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 + 193. Suppose 3239 = d*q - 9697. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16243, -65045, -146401, -260311, -406775?\n\"Answer: -16277*o**2 + 29*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389632?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447741000 = 1809*b - 1802*b. What is b rounded to the nearest one hundred thousand?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11100000 = m + 2*m. What is m rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3772523 meters?\nAnswer: 0.0003772523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 - 6*y + 6. Let k(n) be the first derivative of -n**3\/3 + n**2\/2 - n - 1. Let j(t) = d(t) + 6*k(t). Let r(x) = -2*x. What is r(j(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1000111100?\nAnswer: 1000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 21051.\nAnswer: -2\/7017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5575 and 16131575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*a + a - a + 2 - 2 + 2*a - 2*a + a - a + (a - a + a)*(4 - 2 - 1) + 958 - 54934*a + 27470*a + 27467*a.\nAnswer: 2*a + 960","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/12213 and -13\/14927.\nAnswer: 134343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12654364 is divided by 2109059.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/9*5\/40*90. Calculate the remainder when d\/((-10)\/15 - -1) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 26 = o + 8, -5*o = -u + 26. Let h(g) = -4 + 0*g - g**3 - g**3 + 4*g + u*g**2. Let d be h(-6). Round d to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -1?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.0506.\nAnswer: 0.1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-4))\/6)\/(-1*75\/(-18)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 34, -5 in descending order.\nAnswer: 34, 9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 2466?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189546 less than or equal to 1189547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 14 + 0*a**2 + a + a**2 + 2. Suppose -23*b + 8*b = 135. What is y(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1842430 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(5\/3)*x**(1\/4)\/x)**(-7\/5)\/((x*x*((x*x\/x**(-2\/9))\/x)\/x*x)\/x*x*x**0*x**(-5)*x*x**6) assuming x is positive.\nAnswer: x**(-583\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w**2)*(-3*w + 1 - 1)*(-4*w + w + 2*w).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 5 (c) 4 (d) 2\/3 (e) 7 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203645, 406756, 609867, 812978?\nAnswer: 1016089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055473 to five dps.\nAnswer: 0.00555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9) + 0)\/((-1)\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -134, -138, -144, -152, -162?\n\"Answer: -h**2 - h - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 12) to base 3.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 193\/(-39179)*84\/60?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*l - 33. What is the remainder when 25 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -441? (a) -0.4 (b) 1.4 (c) -406 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42656 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 8. What is the remainder when y(3) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 138765\/(-14) + 2\/(-2). Let k be (-10 - 83)\/((-3)\/320). Let o = b + k. Calculate the common denominator of 47\/20 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-5) + (-2)\/(-5). Let z(h) = -19*h - 2 + s - 52*h. Is z(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 1 + 24*f**4 - 75*f**4 + 12*f**3 + 29*f**4 - f**2 + 24*f**4 - 2*f as c*f**4 + k*f + u + t*f**2 + s*f**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -598*w**4 + 8348*w**2 - 8348*w**2 + (2*w + 0*w - 4*w)*(3*w**3 - 3*w**3 + 6*w**3) + w**4 + 0*w**4 - 2*w**4.\nAnswer: -611*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.7 + 45. What is the second smallest value in d, -2\/17, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -23 (b) 0 (c) -28 (d) 0.5 (e) -32 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a second in milliseconds?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, 1\/71, 0.15, 7 in descending order.\nAnswer: 7, 0.15, 1\/71, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203333 times 3?\nAnswer: -0.609999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5 = -2*k + 7, 4*j + 10 = 22*k - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 242.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 17 = 1. Suppose m*a - 7*a + 80 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - j = 385, i - 51*j - 25 = -53*j for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57886 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1402 - -16926. Does 58 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**3\/6 + r + 9. Let v(k) be the second derivative of -14*k**3\/3 - 58*k. Determine b(v(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082211519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -295702*c + 93098?\nAnswer: -295702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37 and 30.51987.\nAnswer: -6.48013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273021329 to the nearest integer?\nAnswer: 16523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1600.3 + -1607.3. What is the third smallest value in -57, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -2*c**5\/5 + c**4 + 8*c**3\/3 - 8*c**2 - 109. Find h, given that t(h) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -369, -1217, -2861, -5565?\nAnswer: -9593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*p + 2*b + 1, 0 = -p - 4*b + 16. Suppose 3*o + 0*o = 0. Factor 0 - 3\/2*f**3 - 1\/2*f**2 - 3\/2*f**p + o*f - 1\/2*f**5.\nAnswer: -f**2*(f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -28*s**4\/5 - 316*s**3\/5 - 368*s**2\/5 - 16*s = 0?\nAnswer: -10, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -2*t + 1\/3*t**3 + 1 + 1\/12*t**4 - 2*t**2. Let m(s) be the first derivative of z(s). Give m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2609 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*y = 2*d - 138, 4*d - 4*y = 144. What is the remainder when d is divided by ((-24)\/16)\/((-1)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6055 divided by 6055?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0207 + -0.5743. What is t rounded to 2 dps?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 243288*f**2*g**2 + f**2*g - 3*f**2 + 2*f*g**2 - 145*f*g - 2*f + 2*g**2 + 343*g - 4 wrt f.\nAnswer: 486576*g**2 + 2*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, -83, 101, 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = m - 163, -7*r = -4*r + 18. What is the remainder when 201 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 16 = -4*s + 44, -2135*s - 3*n - 25 = -2134*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2145 and 780.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2 + 2)*(1 + 0 + 2 + (-2 + 2 + 2)*(-1 - 1 + 1))*(-5*i + 5*i + 2*i**2 + (2*i + i - i)*(i - 2*i + 0*i) + 6*i - 6*i + i**2).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.46315002 and 15544.984.\nAnswer: 15544.52084998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1*-3)\/((-25)\/(-80)) and 21\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 10795843.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2319530 and 10730.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 + 116. What is the lowest common multiple of (y - -2)*72\/(-45) and 66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xddd when four letters picked without replacement from {d: 18, x: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-115)\/(-92) + (-92)\/(-16))*6\/14. Find a, given that 0*a + 0*a**2 + 6\/5*a**5 + 0 - 72\/5*a**c - 6\/5*a**4 = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11098934 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from kvvpppbnpbvbpnbpp.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**3*v**4 + 2*m**3*v + 149787*m**2*v**4 - 51*m**2*v**2 + 603*m*v**2 wrt v.\nAnswer: -48*m**3*v + 3594888*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y**3 - 8*y**2 + 3*y - 3. Let t(u) = 5*u**3 + 8*u**2 - 5*u + 4. Determine -3*l(h) - 2*t(h).\nAnswer: 26*h**3 + 8*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 55*t**3 - 73 - 2*t**2 + 73 - 9*t**3.\nAnswer: -67*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/32 and 47\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30772167 (base 9) to base 16.\nAnswer: e1fab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {v: 4, y: 2, g: 1, r: 2, j: 2, d: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d + y, 2*d + 5*y - 4*y = 5. Find o such that -o**2 + 3 + d*o**2 - 4*o + 4 - 4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 715?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2106)\/(-126) + -17)*(-2)\/4. Which is the closest to 2\/3? (a) 5 (b) h (c) 0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*b + 4*x + 7, -3*x - x = 2*b - 5*x + 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 112. Let f be 1\/2*(k + -4 + 2). Determine l so that -3\/7*l**2 + 0*l - 9\/7*l**3 + f - 3\/7*l**5 - 9\/7*l**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 43. Let w(m) = 4*m + 3. What is the units digit of w(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4186*u**2 - 16*u - 76. Let s be o(-12). What is s rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (369954\/(-153))\/31*15\/10.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**4 + 2 - 473*p**3 + 17*p + 233*p**3 + 245*p**3 in the form b*p**4 + v*p**2 + a + x*p**3 + i*p and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743.309 milligrams in tonnes?\nAnswer: 0.000002743309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 29. Let k = 3 - -5. Let s = 11 - k. What is the nearest to 1\/2 in s, -1\/6, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142712.2 grams to milligrams.\nAnswer: 142712200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*y, -t = -6*t - 3*y + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 910 and 35.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -102, -2 in increasing order.\nAnswer: -162, -102, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 22 = p, -2*p + 6*p = 2*y - 4. Solve -3*s + 3*a - 3 = 0, 1 = 3*s - 5*a + y*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 30\/7, 3\/2, -3.\nAnswer: -3, 4\/5, 3\/2, 30\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5266, -4, -35, -18 in descending order.\nAnswer: 5266, -4, -18, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2499 + -6669. Let x = -1259 - b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*a + 138*a + 4*x - 95312 = 0, -4*x = a - 31752. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 - 8 = -3*s, -3*n = -4*s + 51. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 + 12*z - 12. Let y be c(6). Let b(w) = w**2 - 22*w - 28. Let k be b(y). Solve -5*g - 5 + k = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 3 = 5*a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180 + (81 - 62) + -113.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29570176117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**2 + 7730*a + 39799. Determine x(864).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*f - 96693 = -24957 + 173544. Does 73 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1dc555 (base 14) in base 7?\nAnswer: 12051035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4889*g*v**2 - 9*g*v - g - 83 wrt v?\nAnswer: -9778*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4.2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39420622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*q - 125 = 24, 0 = -3*j + q + 215. Suppose -j = -z + 10. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:34 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138405 is divided by 69167.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -508985\/34 + 14972. Find the common denominator of -74\/51 and l.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*f - 42662 = 2*a, -2*a = 2*f - 21334. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 29. What is the least common multiple of x and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1002, 1095, 1246, 1455?\n\"Answer: 29*l**2 + 6*l + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-288))\/((-1)\/(-10))*(-5 + (-9226)\/(-1820)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**3 + z**2 + z - 1. Let x be i(2). Let n = 97 - x. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 146808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.44 + -5. Let b = j + -0.04. Let v = b + -6.4. Are v and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3 + 15707*i**2*t - 26360*i*t + t wrt i.\nAnswer: -12*i + 31414*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 30*k**2 + 4572*k + 2057. What is s(-152)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-13\/5)))\/q*q*q**(-10)*q*q**26\/(q*q**(-3\/23)*q*q*q))**(20\/7) assuming q is positive.\nAnswer: q**(7236\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:42 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i + 5. Let t be h(0). Let d = 12 + -2. Suppose -a = -5*a + 12. Solve -t*b = -a*b - d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4309\/(-1529) - (0 + (-2)\/(-11))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.244501 plus 4.45518?\nAnswer: -7.789321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -93, -155, -235, -339?\n\"Answer: -i**3 - 43*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -31, -2 in decreasing order.\nAnswer: -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 e when four letters picked without replacement from {d: 2, y: 9, e: 8}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5711*q**2 + 19617 - 5709*q**2 - 31*q + 31*q.\nAnswer: 2*q**2 + 19617","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**5\/60 - 13*i**4\/24 + 3*i**3\/2 - 2*i**2 - 2. Let d(m) be the second derivative of s(m). List the prime factors of d(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*m**4 + 1687*i**3*m**2 + 9*i**3*m + 13*i**3 - 2*i**2*m + 4*i*m wrt m?\nAnswer: -12*i**3*m**2 + 3374*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 9, -0.1, 47356, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27569*o**3 + o - 251.\nAnswer: 165414*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i - 15*i = 18*i + 688 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/4 + 47795*m\/4 - 3173475\/2.\nAnswer: 5*(m - 131)*(m + 9690)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 30\/(-7) - (2 - 6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 44?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*z = -5*g - 9, g = 2*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.9.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i*y - 2963*i + 64620*y + 2 wrt i.\nAnswer: -5*y - 2963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 120*h = 121*h - 1, 0 = 3*y + 5*h + 11. Solve -y = -4*l + 4*c, 0 = -4*l - 5*c + 4*c + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(3 - 3 - 29\/(-30)) and 42\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -21, 47, 551 in descending order.\nAnswer: 551, 47, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 5*p**2 - 4*p - 2. Let w be ((-50)\/(-20))\/(2\/(-4) - 0). Determine o(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113782062 and 1644.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-8)\/(-4) + -2. Suppose 0 = -11*s + 12*s - 7. Suppose -s*m + 4*m + 72 = p. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/7))\/(k\/((k\/k**(1\/5))\/k))*(k\/k**(-2\/13))\/k**(-11\/5))**(4\/3) assuming k is positive.\nAnswer: k**(992\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 66*b**2 + 2920*b - 5842. Calculate i(2).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71009485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 2 + -5 + sqrt(2736) + 5 + -5 + ((4 + sqrt(2736))*-5 - (sqrt(2736) + ((sqrt(2736) + sqrt(2736)*1)*2 - sqrt(2736)))))**2.\nAnswer: 3864*sqrt(19) + 134593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 27*u**2. Let g(d) = 15*d**2 - 92102*d - 3. What is g(v(h))?\nAnswer: 10935*h**4 - 2486754*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*r**3 - 31*r**3 - 123*r + 12*r - 338*r - 17*r**2 wrt r.\nAnswer: -24*r - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:39 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111939030 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.597039ml?\nAnswer: 0.000597039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.3389831 and -10.4.\nAnswer: -3.0610169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.3746 * 18647\nAnswer: -25632.1662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and 878917929974?\nAnswer: 878917929983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 1027*n**7\/210 - 413*n**4\/6 + 281*n**2 + 2. Find the second derivative of a(z) wrt z.\nAnswer: 12324*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*s**3 + 2 + (13*s**2 + 20 - 20)*(-1 - 4 + 3)*(10*s - 41*s - 3*s).\nAnswer: 886*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/4)\/((-12591)\/(-15389)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2. Let y(w) = -3*w - 7*w**2 + 3*w. Suppose 2667 = 1010*p - 121*p. Calculate p*y(x) + 2*t(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (271 - 84) + -80 - 28?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 40*l - 35 = 0. Sort -2, -1, l in descending order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*b - 4*v + 3*v, 4*v - 10 = -3*b. Let r be b\/(-3)*(-6)\/(-2). Suppose 16 = r*f + 6. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 + 116 + (10 - -12)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5727.5 - -5727. Which is the smallest value? (a) k (b) 195 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188741.\nAnswer: 7, 59, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -4ff84?\nAnswer: -4ff8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 2535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4800)\/2040*(-34)\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 879171.7 centimeters?\nAnswer: 8791717000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912 = 4*h - 652. Let f = h + -376. Solve f = b + 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -193. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-72)*(164 + -5) and 39\/74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1379*g + 1379*g + 14 + g**3 - 14 - 13*g**2.\nAnswer: g**3 - 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 298280.605+3\nAnswer: 298283.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -18*r + f + f + 2, 0 = -162*r + 161*r - 2*f + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 338, 298, -124, -928, -2114?\n\"Answer: -191*o**2 + 533*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 1 - 421*h**3 + 406*h**3 - 1.\nAnswer: -15*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31554 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:02 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + z**2 + 0*z**2 + (z - z + 3*z)*(5 + 5*z + 4 - 10).\nAnswer: 13*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 4*z**2 + 3*z**3)*(1274 + 850 - 971 + 2272 + 933).\nAnswer: 13074*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*t - 735*t + 7856*t.\nAnswer: 7811*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 13, y: 3, p: 1}. What is prob of picking 1 y, 1 m, and 1 p?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.109?\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*c + 58*c**2 + 3407 - 9*c - 3407 in the form q*c**2 + r*c + n and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1651 nanograms in tonnes?\nAnswer: 0.0000000000000111651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -513 - -517. Suppose -3*o - 2*p + k = -3*p, 4*o + 3*p + 12 = 0. Let i = -387 + 3487\/9. Is i at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -952688 at least -952692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463871616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 4. Let k(p) = 4*p + 3. Let g(s) = -4*k(s) - 3*o(s). Let m(z) = -17*z**2. Calculate m(g(d)).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 12 = 8*u. Find the common denominator of -22\/5 and 2406\/720 - u\/5.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-36724)\/(-10) - 112\/280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086066825?\nAnswer: 3, 5, 14480891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h**2 - h + 5. Let x be p(-2). Suppose 4*o + o = -2*j + 43, 3*o = 2*j - x. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 206. Suppose 114 = 4*w - f. Let s be w\/4 - (-5)\/(-10). Calculate the highest common factor of s and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 51*o**2 - 108*o - 109. Give n(-53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -7) + 26 + (-23 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 1 = -11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 - 4562\/15. Let h = -92\/3 - -31. Which is the closest to 0? (a) o (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 270 - 216. Let o = 190 - d. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20099\/2 - -10051. Which is the closest to 45? (a) 3 (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -27 + -2 + 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j + 0*j**2 + 11*j + 4*j**2 to p*j + u*j**2 + y and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 - 486 + 66*l**2 + 6*l**2 + 181 - 12*l**4 - 4*l**5 + 197 + 54*l - 4*l**3.\nAnswer: -2*(l - 2)*(l - 1)*(l + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/5*(-30)\/(-2). Let a = 25 - p. Let r = a + -2. What is the smallest value in -3\/4, r, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.88 - -2.68. Let h be (5 - 7)*10\/4. Which is the nearest to y? (a) 0.4 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - 17 - -26) - -49\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-4))\/((-11)\/99*-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 + 44 = 5*r + 2*q, 4*q + 141 = -3*r. Let z = r - -53. Solve -a + 12 = g + z*a, 2*g - a + 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 3 + 0*x + 0*x - x - 3*x + x + (0 - 2 + 0)*(3*x - 3*x - 2*x) - 4*x + 2*x + 4*x - 3*x + 0*x + x as f*x + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-15)\/(-6)*282\/(-235). Sort -28, -1, p, -4 in decreasing order.\nAnswer: p, -1, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3513*k - 3 + 3 - 1700*k + 2127*k)*(0*k + 2*k + k).\nAnswer: 11820*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**5 - 2*p**5 - 2*p**5 + (p**4 + 3 - 3)*(-5*p + 3*p + 4*p) + 1922*p**3 - 1922*p**3 + 56*p**5.\nAnswer: 60*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)**10\/(y**(-2\/13)\/y)**(-19\/5))**(-1\/17) assuming y is positive.\nAnswer: y**(-203\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xde when three letters picked without replacement from {n: 1, e: 5, m: 4, z: 1, d: 2, x: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(9\/5)\/y)\/y)**(-30)\/(y**(-18\/7)*y*y**(9\/4)\/y*y) assuming y is positive.\nAnswer: y**(149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2190839057 to the nearest one hundred thousand.\nAnswer: 2190800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/3 + 75666*o**2 - 75664*o - 453992\/3 = 0?\nAnswer: -1, 2, 113498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 2*g**2 - 2*g - 2. Let l(b) = -b**3 - 3*b**2 - 2*b - 3. Give 2*l(r) - 3*q(r).\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -179765 and 0.089.\nAnswer: -179764.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -226 + 230. Which is the nearest to 0.1? (a) 2 (b) l (c) 3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/27 - (-47)\/(-9). Let f(t) = t + 3. Let i be f(-1). Suppose 0 = 3*j + 2*w + i, -3*j = -5*j + 2*w + 12. Sort 1, j, u.\nAnswer: u, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nysfx. Give prob of picking 1 f and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a**3 - 39*a**2 + 829?\nAnswer: -24*a**2 - 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 91\/4 - (-1)\/(-8)*-2. Solve -5*p + 2*g = -2*g + k, 2*p + 2*g = -2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 43*s**2 + 2*s - 1. Let u = 725 - 723. Let x be j(u). What is the highest common divisor of x and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71919467?\nAnswer: 79, 883, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.923 - -0.833. Which is the nearest to 0.1? (a) -4\/5 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1963 = -5*i, 9*c - 14*c + 4*i = -3250. Suppose -17*w + c = -3145. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 0*l + 3*l)*(-3 + 6 - 1) + (1 + 5 - 3)*(-2 + 4 + 3)*(-2*l + 2*l + 3*l + (0*l - 4*l + 3*l)*(-1 - 1 + 4)).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 0*d + 5*c + 31, -25 = 5*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) -2\/15 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 - -89. Let m = t - -146. Let u(x) = 10*x - 19. Calculate the remainder when u(12) is divided by m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1720 by 518720.\nAnswer: -43\/12968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 16*i - 51. Let x be v(-11). Solve -3*f + 2*u = x, 0*u + 2*u + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14878040 is divided by 181.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 26*l = 2*w - 239, -4168*w + 4171*w = -9 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2 = -n + 6, -2*n - c + 11 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116 and -2373?\nAnswer: -275268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-8)\/(-128)*8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -44, -60, -78, -98, -120?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 16*u**2 + u + 1. Let x be -1*(-458 - (-2 - -7) - 7). Let s = x + -410. What is the lowest common multiple of d(-1) and s?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 9*l = 28. Let r(w) = -2*w - 2. Let h be r(l). Do h and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 106 = v, 5*g - 3*v = -2*v + 265. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 - 3*b**2)*(0*b - 2*b + 4*b)*(-274*b + 31*b - 53*b + 0 + b + 0 + (-1 - 4 + 3)*(2*b - 3 + 3)).\nAnswer: 2392*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 7:44 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 23. Suppose -4 = -2*u + n. Suppose u*q = 1549 + 1099. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, w: 5, d: 4}. Give prob of sequence wa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -5)*-3 - 18. Let r be ((-2)\/20)\/(9\/p). Factor r*w**3 + 0 + 0*w + 0*w**2 + 0*w**4 - 1\/6*w**5.\nAnswer: -w**3*(w - 1)*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**6\/60 - c**4\/24 - 3*c**2\/2 - 3. Let f(s) be the second derivative of n(s). Find the second derivative of f(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 64. Let g be ((-4)\/8)\/((-6)\/x). What is the fourth smallest value in g, 3, -0.17, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-12) - 4372\/1680 - -3. Let s(f) be the second derivative of -1\/70*f**6 + 5*f - 1\/14*f**4 + 0*f**3 + 0*f**2 - o*f**5 + 0. Solve s(h) = 0 for h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let s(q) be the second derivative of q**4\/6 - 3*q. Determine s(k(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*m**2 - 133 + 133)*(-21*m + 36*m - 21*m).\nAnswer: -294*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*((-10)\/12)\/5 - 7. Let x(n) = -n**3 - 7*n**2 - 6*n + 11. Let a be x(i). Suppose 5*f - 4 = a, -2*v - 5*f + 25 = 0. Solve -5*g + v + 0 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245503*i**5 - 6*i**4 - 2*i**3 - 36171956*i**2 wrt i.\nAnswer: -14730180*i**2 - 144*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89*p**4 - p**2 - 4*p - 24431 wrt p?\nAnswer: 356*p**3 - 2*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) - sqrt(77)*1) + sqrt(77) - (sqrt(77) + 3*(sqrt(77) - sqrt(77)*-2) + sqrt(77)))\/(-1*sqrt(847) - sqrt(56)\/sqrt(72)) + 5.\nAnswer: 15*sqrt(11)\/17 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b**2 + 127878*b - 1 - 127878*b to q + f*b + l*b**2 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.4767389 rounded to two decimal places?\nAnswer: 42.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2782\/117)\/((-371)\/(-159)) - (-18)\/189\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 11*s**2 + 2*s + 15. List the prime factors of n(13).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 4, 0.88?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1256*t + 26356. Give v(21).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4 + -4*(-5*sqrt(325) + 5))*-6*-5)**2.\nAnswer: -703382400 + 17280000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-24))\/((-4)\/30). Suppose -2*u = -3*r + 7, 4*u + u + 4*r + 6 = 0. Put o, u, 4 in increasing order.\nAnswer: o, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*z**2 + 880*z - 880*z + (-3*z + 12 - 12)*(-2 - 3*z + 2) - 5*z**2 + 5 - 5 as u*z + b*z**2 + l and give b.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 o, and 1 c when three letters picked without replacement from {c: 1, r: 2, f: 2, o: 5, l: 2, z: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 62. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:58 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a - 937*a = -69*a - 100188 for a.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.6 - 110.6. Let g = v - -87. Which is the nearest to 0.2? (a) -2\/17 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2. Let h(x) = 1412*x. Determine b(h(n)).\nAnswer: -5981232*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2\/5)*a*a**(-1\/12)*(a*a**(2\/9)*a)\/a**(-5))**(5\/3))**45 assuming a is positive.\nAnswer: a**(8765\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or 0.05365?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034*o**3 + 7*o**3 - 827*o**3.\nAnswer: -1854*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*o - 4*o**4 - 1 + 58*o + 2*o**3 - o**2 to the form a*o**2 + f + l*o + w*o**4 + m*o**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 7194906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 25, -3*f = -u + 26 - 15. Sort -85, -3, f in decreasing order.\nAnswer: f, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/45 and -14\/32355?\nAnswer: 32355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, x: 2}. Give prob of picking 3 d.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/120 - w**5\/12 - 5*w**4\/24 - w**3 + w**2. Let g be y(6). Let c = -339109 + 339114. Solve c*a + 6 + 4 = g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 13*h**2 - 2*h - 24. Let j be u(-13). Suppose -j*y + 178 = 4*k, 0 = 2*y + 2*k + k - 177. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.6597 * 10.\nAnswer: -166.597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518778 is divided by 226.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/147)\/(-1 + 1\/2). Let y = -0.55 + -13.45. Let m = -13.9 - y. Which is the closest to m? (a) 1\/3 (b) l (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let w(m) be the second derivative of 2*m**3\/3 - 5*m - 51. What is -3*c(a) - w(a)?\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0, -8, -3, 4, 111?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/5 of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -16*l**2 - 1\/1260*l**7 + 0*l**3 + 0*l + 0*l**5 - 1\/720*l**6 + 0 + 0*l**4. Factor h(n).\nAnswer: -n**3*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 2)*(-u - 3*u + u) + (3*u + 0*u - u)*(-4 + 1 + 1) + (10 - 2 + 3)*(u - 4*u + 4*u) to the form i*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*h + 512*h - 3*h**3 - 1025*h - 7*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2. Let w(x) be the first derivative of 1\/3*x**3 + 0*x**2 + 0*x + 1. Determine w(a(c)).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61c9 + -14a?\nAnswer: 607c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 9 = -19. Suppose v = 2*x - 29, -57 = -q*x - 0*x + v. Let w be 35\/15 + (-2)\/6. Solve -w*r = -4*d - x, 6 = -2*r + d - 2*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40530000 to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2480300627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x + 33. Let f be h(7). Sort 32, f, -4 in decreasing order.\nAnswer: 32, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -15*s**2. Suppose -105 = 2*d - 7*d. Let m(l) = -l**2 + 12*l + 3. Let q be m(12). Let w(o) = -2*o + q*o + d - 21. What is v(w(b))?\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - (-108)\/18 - 1647. Sort j, -5, -1 in descending order.\nAnswer: -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -n + 12, -4*j - j + n + 15 = 0. Let z be 21\/105 + (-29)\/(-5). Suppose -j*w = -w - z. Solve 8 = -q + w*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times -24.24?\nAnswer: 2302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 24.53.\nAnswer: -269.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.3. Let m = -25.89 + 26. Let g = 0.31 - m. What is the third biggest value in g, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 27659450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhhhbzbbzhzhbhb. Give prob of picking 1 b, 1 h, and 1 z.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = 5*n, 306*v - 310*v + 5*n + 4 = 0. Is v less than or equal to -1\/37765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -17. Suppose l*y - 3*n = -13, 3*y = n + 2*n - 18. Let i(w) = -w. Let q be i(y). Solve 16 = -q*o - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 185, 365, 547, 731, 917?\n\"Answer: r**2 + 177*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150583 + 100646. Let x = l + 1797605\/36. What is the common denominator of -9\/20 and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 816135144 or 816135142?\nAnswer: 816135144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(3072) + sqrt(48)) + 1)**2.\nAnswer: -864*sqrt(3) + 62217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**3 - u**2 + 2*u - 1. Let b be s(1). Let a(g) = g**3 - 8*g**2 + 2*g - 32. Let m be a(b). Is -92 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**3 - 478*b**2 - 257*b + 1926. What is p(120)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3165 and 169\/30?\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 11. Calculate the remainder when f(-17) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36059 - -35329. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:36 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 9. Suppose -5*d = 21*o - 25*o + 93, -2*o - 2*d + 60 = 0. What is the remainder when o is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 64*r**2 + 4*r + 64.\nAnswer: -4*(r - 1)*(r + 1)*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 + z - 5. Let n be c(-4). Suppose -177 - n = -2*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/7267 and 41\/104?\nAnswer: 58136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.12 (b) -33 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -9*i - 2*v + 14, -3*v = -2*i - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1246109*l*u + 579715*u wrt l?\nAnswer: -1246109*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 8*r - 56. Suppose -3*w + 4 = -r. Let n(o) = o**3 - 3*o**2 - o - 4. What is the lowest common multiple of n(w) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 0, -2, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 6*i - 4. Let f be o(-5). Let v = 98.9 + -99. Which is the closest to v? (a) f (b) 0 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 0.3. Let g = i + -0.6. Let s be 14\/56*(-180)\/(-405). Which is the second biggest value? (a) s (b) -20 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4, 2 = 5*g - 5*t - 23. Let w = g - 6. Suppose -2*l - w*q - 42 = -6*l, -4*q + 20 = l. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 449*t - 175145. Give k(390).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:42 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**2 + 8*f + 4. Let m be i(-11). Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10460 and 596220.\nAnswer: 596220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4\/19 - 180*f**3\/19 - 168*f**2\/19 + 884*f\/19 - 534\/19 = 0.\nAnswer: -89, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3820308 by -2074.\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 78448991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650*z - 640*z - 20 = 0. Factor 0 - 4\/3*g**3 + 1\/3*g + g**z.\nAnswer: -g*(g - 1)*(4*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 2*y**5\/5 - 17*y**2 + 18. Let d(g) = 99*g**2. What is d(f(v))?\nAnswer: 57024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 4*v**2 - 2*v + 2. Let h(t) = t**3 - 5*t**2 + t - 2. Let f(w) = 6*h(w) + 5*p(w). List the prime factors of f(13).\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -15*h**4 + 1397*h**3\/3 + 4438*h**2\/3 + 2860*h\/3 - 136\/3 = 0. Calculate h.\nAnswer: -2, -1, 2\/45, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -82*c - 18. Let y(n) = -233*n - 51. Let x(h) = 17*w(h) - 6*y(h). Let m(f) = 308*f**2 - 3*f. Give m(x(u)).\nAnswer: 4928*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 803 - 213007?\nAnswer: -212204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 634.4 * -0.5\nAnswer: -317.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**5 + 316*t**4 + 604*t**3 - 924*t**2 = 0.\nAnswer: -77, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*k - 423 + 1641 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/137, -3?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418953 divided by -3?\nAnswer: -139651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j - 2*j**4 + 2*j**2 + 2*j**2 + 4033990 - 4033938 wrt j.\nAnswer: -24*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 80*i**4 - 43*i**4 - 3*i + i - i - 38*i**4 in the form b + g*i**2 + j*i**3 + m*i + z*i**4 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1620) + 0)*-3 - ((sqrt(1620)*2 + sqrt(1620))**2 + -4))*-2.\nAnswer: 108*sqrt(5) + 29155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + y)*(-2*y + 2*y + y) + (-1181 - 663 + 2836)*(6*y**2 + 8*y**2 + 5*y**2) to i*y**2 + c*y + t and give i.\nAnswer: 18849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1239\/(-14042)*68\/24. Suppose 0 = 5*h - 4*a + 210, 3*h + 5*a - 18 = -181. Put n, -3\/2, h in descending order.\nAnswer: n, -3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asazaazas. What is prob of picking 2 s and 2 a?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187 + -142. Is c\/(-105) + (-8354)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 12 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -16*s + 53 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -562 and -800 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3685 and 660.\nAnswer: 44220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/96489421 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 + 13 + 6*m**2 - 454*m + 454*m. Is i(5) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490089.3 meters in micrometers?\nAnswer: 490089300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -27 + 44 + -2 + (1 - -4) + 0\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5*(0 + 2\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542728682 to the power of 1\/2, to the nearest integer?\nAnswer: 23297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-1)\/sqrt(4).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h + 31. Let f(c) = -c**2 + 23*c + 1438. What is the remainder when f(50) is divided by x(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/((-1)\/3). Let d(u) = -21*u - 2. Let b be d(a). Let g be ((-32)\/b)\/((-4)\/10). Solve 0 = g*l - l - 2*s - 2, 0 = -l + 4*s + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 + -4) - (8 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7468 + 7472. Sort -16, -8, y, 2, -2 in increasing order.\nAnswer: -16, -8, -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -135, -9, 0.\nAnswer: -135, -9, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 3 + (477 - 445).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m + 3*n + 23 = 0, 0 = -5*m - 2*n - 22. Let f(w) = -2*w - 3. Let y be f(m). Which is the third smallest value? (a) y (b) -0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 2*v = 0. Suppose 4*g = 16, 4*p + 2*g + v*g = 284. Let d = -48 + p. What is the greatest common divisor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Suppose -3*d = k - 7, 6*k = 3*k - d + 13. Suppose -5*z + 0*z + 33 = -k*x, 23 = 5*z + x. Let v(u) = z*u - 9*u - 5*u. Calculate n(v(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from {e: 7, g: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 times -0.138?\nAnswer: -29.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10839?\nAnswer: 3, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = k - 12474. What is the lowest common multiple of k and 162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 21 + 14. What is the least common multiple of r and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7108 and 4?\nAnswer: 7108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3 + -1)*-38. Which is greater: x or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 9*l**3 + 4*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78*(1 + 0) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:10 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11640 divided by 2328?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5\/2 + 67*c**4\/2 - 201*c**3\/2 - 175*c**2\/2 + 49*c = 0. What is c?\nAnswer: -1, 0, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (3 - 2 - (-3 - -2)). Determine r so that 0 - 1\/3*r**4 + 0*r**2 + 0*r + x*r**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/14 and 70021\/35034 + 2 + (-80)\/20.\nAnswer: 245238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 31122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -2164.24?\nAnswer: -15149.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -943.89 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -797, -3\/16, -0.3, 3, 0.5, 0 in decreasing order.\nAnswer: 3, 0.5, 0, -3\/16, -0.3, -797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -4a?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 468895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 830 + -859. Let u(q) = 38*q**2 + q + 1. Let v be u(-1). Let o = v + x. Solve -c + l = 3*c + o, -2*c - 9 = l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.001561 - 0.02964. Let c = 33.982921 - z. Let o = -0.011 + c. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 465496889509000\nAnswer: -465496889508999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 8. Let c be i(7). Let p(b) be the first derivative of 2*b - 1\/2*b**2 - c. Find the first derivative of p(k) wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 - 86. Suppose 5*q - 57 - j = 0. Let v = 77 - q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.7608 days in microseconds?\nAnswer: 38168133120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 46.70764.\nAnswer: -34.70764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 212*q**3 + q**2 + 3*q - 3. What are the prime factors of y(1)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -5, -6 in ascending order.\nAnswer: -11, -6, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/3026771 and 39\/2.\nAnswer: 6053542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 749381617 - -2247?\nAnswer: 749383864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 337323367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**29*g**11 assuming g is positive.\nAnswer: g**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*t**3 - 2 + (2*t + t**2 - 2*t)*(4*t - 2*t - 4*t) + (-4*t**2 + 4*t**2 - 4*t**3)*(4 + 6 - 5) in the form y*t + k*t**3 + f*t**2 + x and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*l + 20 - 70, -3*l + 53 = 2*n. Let x be (0 + 7)*(5 + 0). Suppose -3*h - x = -227. Calculate the remainder when h is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -51*x + 192. Let d be y(-7). Let q = d - 544. Let w be (-1)\/(-4) + 6\/8. Put q, 9, w, -5 in descending order.\nAnswer: 9, q, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1355*s**2 + 350*s**2 - 990*s**2 to v + q*s**2 + o*s and give q.\nAnswer: -1995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11020483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*m + 2384, 5*m + 2*c - 6*c = 6016. What is m rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1 = -a, -3*o - 11*a + 2 = -13*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (9 - (20 - 14) - -20)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:35 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2898.394 weeks to milliseconds.\nAnswer: 1752948691200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1825.56256775 - 1825.7. Let w = 97.86289775 - k. Let b = w - 98. What is b rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28501, 28737, 28973, 29209, 29445?\nAnswer: 29681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 5*b - 20, 4*s - 16 = 2*s + 4*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-63))\/(1\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 837 or 2?\nAnswer: 837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144071 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-16\/3)))\/j*j**(-22)*j**(1\/20)*j*j\/((j*j**(-5\/6)\/j*j)\/j))**(1\/3) assuming j is positive.\nAnswer: j**(-509\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -11*k**4\/12 - k**3 + 3*k**2 + k - 41. Let a(o) = o**2 - o + 1. Calculate -6*a(v) + g(v).\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 37 - 12*c - 26*c - 2 - 16*c. What is the hundreds digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -6, 34518 in descending order.\nAnswer: 34518, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 5*o**2 + o - 4. Let w be f(5). Which is the second smallest value? (a) 4 (b) 1\/4 (c) w (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 2*z - 2, 43*q = 36*q + 4*z + 37 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17\/2*j**2 - 15\/2*j = 0. What is j?\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5892710 is divided by 4095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 135 = 0. Suppose 5*m - c = -2. Suppose -m*d + d + 56 = 0. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*n - 825, 13 = 2*z + 3. Suppose 56 = -3*w - 190. Let t = w - n. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.679?\nAnswer: -1.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 18 - 10*s to a*s + l and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22231 divided by 35576.\nAnswer: -22231\/35576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10670*z - 10670*z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**26\/a)\/a*a**23)\/(a**(15\/2)*a**40) assuming a is positive.\nAnswer: 1\/sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054 + -517.417089.\nAnswer: -517.471089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1496*l + 1759 - 834 = -2067 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 354 and 5.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in -0.2, 3, 4, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c - 64*c - 21900000 = 0. Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-12))\/(132\/32). What is the nearest to -8 in l, -0.2, -1\/9, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508782 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3422522943.304+81\nAnswer: -3422522862.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i**3 + 0*i + 0*i**4 + 0*i**6 + 0 - 1\/30*i**5 - 2\/105*i**7 + 2*i**2. Find the third derivative of n(k) wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45018000 to the nearest 100000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 19*v**2 - 17*v - 18. Let y be g(-18). Let f = y + 33. Let u = 19 - f. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182385 rounded to the nearest one thousand?\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*o**2 - 1\/2*o + 0.\nAnswer: o*(5*o - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 66. Let k be g(0). Let u = k + 227. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 52. Suppose -5*f - 5*x = -45, -3*x + 1 = -4*x. What is the remainder when b is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2575027723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t - 91 - 30*t + 5*t + t**2 - 41 wrt t?\nAnswer: 2*t - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 12, -4 - 32 = 5*k - 7*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 4*g**2 - 7*g - 9. Let u be o(7). Let w = u - 91. Is (-439 + -4)*4\/8*w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, 3 in decreasing order.\nAnswer: 37, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**3\/6 - 3*m**2 - 2*m. Let u be r(-8). Is 9 a factor of 1*(0 + u + 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, c: 1, s: 2, k: 1, x: 2}. What is prob of picking 1 k and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 3) + (19 - 30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 14, s: 2, a: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 + 3 + 4) - 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-123)\/(-39) + (0 - 6\/39). Let i be -1 + (-1)\/1 + 7. Suppose 4*g + 2*c = 228, c - 288 = -i*g - f*c. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749907369?\nAnswer: 3, 1399, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5430 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1\/22 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117) + sqrt(117))*-1)\/(3*sqrt(441)).\nAnswer: -2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.37 + -0.07. Let j be 32\/130 - 2\/(-13). Let r(h) = -h**2 + 23*h + 29. Let n be r(24). Which is the nearest to j? (a) 1 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1 - -2)\/3. Let p be (-24)\/(-35) + 4\/(-14). Put p, -1, a in descending order.\nAnswer: p, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2 (c) -3.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509281?\nAnswer: 509281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (170\/10 - 19)\/(-16 + 1). Which is the third biggest value? (a) -0.5 (b) l (c) 22 (d) 1\/8 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92583469.\nAnswer: 11, 1609, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.363*-0.0455.\nAnswer: 0.1530165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 0 - (-512 - -502).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -167, -335, -501, -665?\n\"Answer: y**2 - 171*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125194.\nAnswer: 2, 62597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 180\/40*4\/6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133155189 or -665775938\/5?\nAnswer: -665775938\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -30745084\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a decade?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 + 379. Let m be v\/60 + (10\/12)\/5. Is 0 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18457 - 18460. Suppose 2*n = -3*s - 0*n + 80, 3*n - 36 = -s. Let b be s\/(-110) + (-2)\/11. What is the second biggest value in m, -0.1, 2\/5, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(108)*-2 - (6*(-1 + sqrt(108)) - sqrt(108))) - ((-1*1*sqrt(108) + sqrt(108) + sqrt(108))**2*-3 + 1).\nAnswer: 72*sqrt(3) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -69379.\nAnswer: 2\/69379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 4 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 547.\nAnswer: 5\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:03 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*h + 8*h + 132 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -121800000 rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(2*m + 4*m - 4*m)*(-3*m - 3*m + 2*m)*(m**3 + 7*m**2 + 27 + 22*m**2 - 25).\nAnswer: 16*m**5 + 464*m**4 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 97159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13812.\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197493 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2318477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198905021\/37034160 + -3\/154309. Let j = -29\/15 + x. Find the common denominator of j and (1 - 110)*2\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*k - 2*k. Suppose -2*v + 1248 = u, -k*v + 2387 + 720 = -4*u. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522244 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(605)\/(sqrt(55)\/sqrt(5)))\/(sqrt(704) + sqrt(704)*-2*-3))**2.\nAnswer: 125\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whw when three letters picked without replacement from {h: 1, c: 1, r: 9, w: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 + -1.4. Let i = 0.6 - 1.6. Which is the fourth smallest value? (a) v (b) 0.1 (c) i (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 7*i - 11. Let v be a(6). Let w(f) = 5*f**2 - 4*f**2 - 2*f + 2 - 1 + 5*f**2. Let d be w(1). Calculate the highest common divisor of v and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/9 and 2 - (-6 - (-1218)\/108).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50717321 - 3140.\nAnswer: -50720461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.058876 + 171240762?\nAnswer: 171240760.941124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 = -20. What is the greatest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:12 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 0*u + (0*u + 0*u - 2*u)*(0 + 1 - 3) + (6*u - 4*u + 0*u)*(-1 - 4 + 3))*(-u**3 - 9*u**2 - 10*u**2 + 3*u**3).\nAnswer: -2*u**4 + 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:53 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o - 1. Let n(a) = 7*a + 2. Let r(k) = -3*m(k) - 2*n(k). Let l be r(2). Suppose -l = 2*v - 3*v. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, g: 2, i: 4, u: 2}. What is prob of sequence giu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 8. Let j = 0 - 2. Put l, 2, j in ascending order.\nAnswer: j, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(196)*-1 - sqrt(196)) - (-3 + sqrt(425) + sqrt(425) + -2)**2) + 3.\nAnswer: -1722 + 1399*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -489 * -0.0957.\nAnswer: 46.7973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*6*154\/(-264).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-2 + 4)) + (12 - 17)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9453672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -23) + (-7 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -356445, -356613, -356887, -357261, -357729, -358285, -358923?\n\"Answer: f**3 - 59*f**2 + 2*f - 356389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 46*c**2 + 44*c + 13. Determine d(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - a)*(-136*a**2 + 99*a**2 + 44*a**2 - 52*a).\nAnswer: -7*a**3 + 52*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**4 - 15*c**2 + 2*c. Let z(y) = -20*y**2 - 8*y + 10*y**4 + 4*y**2 + 11*y. Let b(m) = 3*f(m) - 2*z(m). What is the third derivative of b(g) wrt g?\nAnswer: 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewewwwwede. Give prob of sequence wed.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223 + 8*p + 223)*(p**2 - 3*p**2 + 2*p - 79 + 100).\nAnswer: -16*p**3 + 16*p**2 + 168*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33726 is divided by 16825.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 2f8227?\nAnswer: 2f8222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-735)*15\/(-10). Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5216 (base 8) to base 13\nAnswer: 12cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 19. Let f be h(-10). Let a(m) = -m**3 - 8*m**2 + 9*m + 3. What is the remainder when 5 is divided by a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 10) to base 15.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j**2 + 2*j - 2. What is o(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 335662278 divided by 5506\nAnswer: 60963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2645.7558 months?\nAnswer: 0.22047965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370\/205919 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/97 and 37.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8395859 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -880*h**3 + 4*h**2 - 6*h - 1. Let p be g(3). Let w = 35876 + p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000 (base 2) in base 9?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -15, -20 in descending order.\nAnswer: 15, 3, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19269, -19526, -19915, -20442, -21113, -21934?\n\"Answer: -x**3 - 60*x**2 - 70*x - 19138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 727 + -637. What is the lowest common multiple of b and 68?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -652*i**3*t**2 + 86*i**3 - i*t**3 - 6 wrt t.\nAnswer: -1304*i**3*t - 3*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 34 (b) 0.2 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45657, 44703, 43749?\nAnswer: 42795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = 3*r - 8*r. Let n be (3\/r)\/(2\/(-8)). Are n and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v + 1. Let k = 31 + -29. What is s(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from {o: 10, g: 1, i: 2, q: 4}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*4\/448*48\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/(24\/128). Let x be (-604)\/(-16) + 2\/g. Is 37 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1948*k + 11. Let n be v(-10). Let d be 4\/14 + n\/(-84). Let w = d + 233. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/22 + 10 + (-2016)\/198.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16873, -67429, -151681, -269629, -421273, -606613?\n\"Answer: -16848*y**2 - 12*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {m: 1, e: 3, u: 1, i: 7}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1986, 3981, 5996, 8037, 10110, 12221, 14376, 16581?\nAnswer: 18842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-2)\/(-12)). Let a be 1\/10*(-10)\/u. Let y = 1.3 + 2.7. What is the biggest value in a, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) -3 (b) -0.2891 (c) 0.04 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 b when three letters picked without replacement from {v: 1, u: 1, g: 1, z: 2, b: 1, l: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000036167 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4670*a - 102643 = 130857 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1304 - 10964.\nAnswer: -12268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1896 times 10\nAnswer: 1.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -38, -50, -62?\n\"Answer: -12*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2886526.3 * 0.3\nAnswer: 865957.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - 1 + 1)*(7*w + 1 + 1 - 1).\nAnswer: -56*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3))**(-6)\/((d*(d*(d\/d**(2\/17))\/d*d)\/d)\/d**(1\/4)) assuming d is positive.\nAnswer: d**(-383\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -345 + 347 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39534612 by -3294551.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**7\/840 + z**6\/360 + 23*z**5\/60 - 25*z**2. Let f(g) be the third derivative of j(g). Is 5 a factor of f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-10 - (-7 - 7 - -9)) + (10 - 19).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssllussuulsuuu. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiyiaiyyzziiizziziai?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 22888\nAnswer: -114440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0.03 (b) 265 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11455)\/79*8\/40*1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 5637*d + 2095*d - 1.\nAnswer: -3542*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Let c = -3521 + 3767. Suppose 2*a = -2*s + 242, -4*a - v*s + c = -2*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13187810.\nAnswer: 2, 5, 1318781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7 - (4 + 1) - -306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(-2*(sqrt(98) + 0 + sqrt(98)))**2*6*1.\nAnswer: -37632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40532 (base 6) in base 2?\nAnswer: 1010100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -154.4, -2\/3, -0.03, 11\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16337*v + 32668*v - 5170 - 16333*v to the form q + p*v and give q.\nAnswer: -5170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9733696km to millimeters.\nAnswer: 973369.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -1, 2, -55, -18, -5, 1 in increasing order.\nAnswer: -55, -32, -18, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1419 and 24.\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -872 + 993. Let c = 19.88771 + -140.88714. Let m = o + c. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -32 - 241. Suppose 4*f + 3 = 5*z, m*z = 4*f + 278*z - 27. Determine h, given that -35\/2*h**4 - 55\/2*h**f - 25\/2*h**2 - 5\/2*h**5 + 0 + 0*h = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/p)**(-48)*(p\/(p*p**(-1)*p))\/((p*(((p*p**(-1\/5))\/p)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + h - 204, -6*u - 5*h = -3*u - 118. Differentiate 526 - 503 - 115*z + u*z with respect to z.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3019*u + 7844 = 2807*u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 11 - -21) + -9 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 24. Suppose 4 + w = 5*v. Factor 0*c**4 - 9*c**3 - c**v - c**4 + 7*c**3.\nAnswer: -c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r - 536 + 536. Solve 5*v - 1 = -3*u - r*u, -3*u + 11 = -5*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -21, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 513606*g**2 - 45*g + 1. Let h be i(-13). What is h rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 69*o + 1459. What is z(-29)?\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 943*u**3\/6 + 152*u + 20. Let o(x) = -14*x**2. Calculate h(o(j)).\nAnswer: -13202*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108\/459655 - -17325016229\/679370090. Let k = 1\/739 - u. Calculate the common denominator of k and (-15)\/(-12)*(-214)\/(-35).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6.22, -2\/17, -20?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**6\/42 - 4*k**5\/35 - 5*k**4\/28 + 20*k**3\/21 + 2*k**2\/7 - 16*k\/7 - 10744. Solve z(f) = 0.\nAnswer: -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*d + 272*d - 324*d + 7068 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + c**2 + 0*c**2 + (414 - 839 - 874)*(-c**2 - 4*c**2 + 3*c**2).\nAnswer: 2596*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 47. Differentiate -10*v**4 + 0 + b - 2 + 0 wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21580 not equal to -21662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 5311 + 5318 - 7*r**3 + 4*r - 10628 + 2*r**2 - r**4 as c*r + l*r**2 + z*r**4 + p*r**3 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 14, r: 5}. Give prob of sequence ppp.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1130)\/(-904) + ((-79)\/44 - 0).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {f: 2, d: 1, u: 1, p: 1, m: 2, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u**2 + u**2 - 3*u**2)*(2*u + 1 - 1) - 1 + 1 + u**3)*(u - 3 + 7*u + 0).\nAnswer: -8*u**4 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2796.03 - 2796. Let o = -7.93 - -8. Let n = o + r. Put n, 4, -2 in decreasing order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 2*s - 18. Suppose 44 = 5*o + 14. Calculate the smallest common multiple of u(o) and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*g - 5 - 2 = 0, -1 = -3*z + 5*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88129008 divided by 16284?\nAnswer: -5412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let k(j) = 1744*j. Give m(k(t)).\nAnswer: -3488*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21155, 84572, 190265, 338246, 528527, 761120, 1036037?\nAnswer: 1353290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 = -30. Suppose 4*q - 11195 = -3*l, -9 - x = -3*q. Suppose -4*t - l = d, -3179 + 379 = 3*t + 2*d. Round t to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -59*v + 10*v**2 + 59*v + 4. Let m be r(2). Calculate the greatest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 5:33 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.94359\nAnswer: -1.88718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2805, -3493, -4181, -4863, -5533, -6185, -6813, -7411?\n\"Answer: i**3 - 6*i**2 - 677*i - 2123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -n + 2*b + 6, 3*b = -3*n + 3. Suppose -f + 2*f - 2*o = 10, -2*o + n = 0. What is the remainder when 46 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6612456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 2*m + 246. Let l be d(0). Let n(a) = 482 - 246 - l - 2*a. Let j be n(-6). Is 7\/3 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 4\/7, -1\/4, 7\/2, -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1283*t + 5. Let r be n(3). Let p = 8344 + r. What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 885.0829 and -0.3.\nAnswer: -265.52487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*y + 142*y = 826. Let r(c) = -c**3 - 2*c**2 - 3*c + 2. Let w(o) = -4*o**3 - 10*o**2 - 16*o + 10. Determine y*w(p) - 11*r(p).\nAnswer: 3*p**3 + 2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 53*b**3 - 6 + 32*b**3 + 14*b**3 - b + 0 + 3*b**3 as x*b + f*b**2 + j*b**3 + s and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/180 - 2\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 1 + -6 - (313 - 297)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:53 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-49) + 2\/(-7). Suppose 2*m - 4*z = -0*z + 476, 0 = m - 4*z - 230. Let b be ((-1107)\/m)\/(3*8\/(-2)). Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 1, e: 1, s: 1, n: 1, l: 1}. Give prob of sequence xs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**7\/840 - p**6\/96 - p**5\/40 + 91*p**2. Factor y(h).\nAnswer: -h**2*(h + 2)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 3490 - 3490.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37237267346 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1979821\/42 + 47141. Calculate the common denominator of m and 37\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 75*c**2 - 75*c + 10. Give l(-76).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19148*n**2 + 22336*n**2 - 43783*n**2)*(-1 + 1 - 1) to g*n + f + p*n**2 and give p.\nAnswer: 2299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13304 divided by -8\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -312, 2, -1 in decreasing order.\nAnswer: 2, -1, -4, -5, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 33*i + 0*i)*(-4*i - 2*i - i)*(-i**2 - i**2 + 4*i**2) to the form p*i**3 + k*i**4 + u + t*i**2 + z*i and give k.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 310.04307 - 310.2. Round i to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 237.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 252. Suppose j + 3*j - w = 0. Calculate the highest common divisor of j and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(-6))\/(-7) - 0. Suppose -3*r = r. Put r, 1, f in ascending order.\nAnswer: r, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 89*t**2 - 286*t + 75. What is the tens digit of a(93)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*g - 228 = 0, -2*y - 3*g + 8*g = -93. Let z(n) = -11*n**3 + 56*n**2 + 2*n - 8. What is the smallest common multiple of y and z(5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8117 times 2.126\nAnswer: -17256.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = -j - 31, 2*j = 4*v + 8. Let l(y) = y**3 + 7*y**2 + 5*y + 5. List the prime factors of l(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (3 - 2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89798969 and 299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/9)\/(-4 + (-50)\/(-15)). Solve -4*w + j*s = 35, 2*s - 9 = -s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w - 4*u - 19, w + 2*u = 14. Suppose w = 4*q - 3*q. Suppose q = 3*n - 3. Solve -n*i + 6 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260899729?\nAnswer: 260899729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*2\/(-54)*-6. Sort d, -5, -9, -15.\nAnswer: -15, -9, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-24)*2*12*(-5)\/990.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, d: 1, i: 3, j: 1}. What is prob of sequence dj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1421 and 50141.\nAnswer: 350987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8978 times -0.3\nAnswer: -2693.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 b, and 1 y when four letters picked without replacement from {b: 1, h: 3, l: 2, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32.88 * 16018\nAnswer: -526671.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:12 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 7. Let g(a) = -a**3 + 54*a**2 + 53*a**2 + 5*a - 3 - 111*a**2. Let h be g(k). Is -5 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*h**3 + 144*h**2 - 334*h + 84 = 0. What is h?\nAnswer: 2\/7, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(3*t - 3*t**2 - 3*t) + 22*t**2 - 14*t + 14*t - 97 + 97 + 13*t**2.\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -182*h + 6362. What is g(35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 630 + -552. Solve 2*m - p + 88 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 14.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 20 + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 3}. Give prob of sequence xx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 25044000 to the nearest 100000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3857\/17802 - 11\/1978. Let i be 1*((-42)\/11 - -4). Let r = -6.3 - -6. What is the third biggest value in -5, r, i, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 2. Let u(g) = -6*g + 9. Let w(b) = -11*s(b) - 2*u(b). What is w(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -432.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9422863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -14*s**4 - 868*s**3 + 10*s**2 - 2*s. Let u(c) = 6*c**4 + c**3 - 5*c**2 + c. Let q(z) = -t(z) - 2*u(z). Factor q(x).\nAnswer: 2*x**3*(x + 433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 15 = -3*k - 6, 5*v - 15 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6365 (base 7) to base 15\nAnswer: a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1955*y + 0 + 1947*y - 1 - 3904*y + 1 - 4.\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313201222 - -10?\nAnswer: -313201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(-3*(-4)\/120).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 58*c + 2431620 = 48*c. Does 108 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/4*(-1 - -2). Let o be 7 - f*(-1 - -1). Solve -2 = 5*q - o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25447 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 29009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -599.2 - -599. Sort q, 40, -2 in decreasing order.\nAnswer: 40, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*v + 2*v + 29, -5*j + 3*v = -59. Let r = -2 + j. Calculate the highest common factor of 121 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -22 + 28 + 189*i**2 - 195*i**2. Let y(p) = p. Give t(y(s)).\nAnswer: -6*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 151007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.023 - -37.023. Let v = p - 34.3. Let i = -1.9 + v. What is i rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -x. Find the third derivative of -v**2 + 2*v**5 + x*v**2 - 5*v**5 wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -2\/17, -1\/8, -0.3, 0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -475.8 and -33161?\nAnswer: 15778003.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 126.255 and -1811040.8?\nAnswer: 1811167.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2748 - 2739. Solve -17*h - n = 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 smaller than -136622\/1257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y**2 + 25*y - 24. What is the remainder when j(1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-3 - 3 + 5)*(0*t**3 + 0*t**3 + t**5).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6706509 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22299 - -22325. Solve n*w = 161 - 57 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1500)\/(-525))\/(36\/(-1386))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 2, h: 2}. Give prob of picking 1 v and 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6970.\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and -0.149.\nAnswer: 14.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5584525 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11415\/296?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191 + 191.113. What is u rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1996, 7965, 17906, 31813, 49680, 71501, 97270, 126981?\nAnswer: 160628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 152575, 152581, 152587, 152593, 152599, 152605?\n\"Answer: 6*a + 152569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327595 is divided by 81892.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1713 and -0.073.\nAnswer: 0.0125049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*d + 224*d + 8 = 0. Suppose 0 = -3*l - d*z + 128, 10*l - 3*z = 9*l + 61. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3445 = -32*d + 4715. Calculate the least common multiple of 55 and d.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 786 - 302 = 0. Suppose -108 - s = -7*m. 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 t(v) = 4*v + 1. Let u(r) = 8*r + 2. Let b(z) = -14*t(z) + 6*u(z). Suppose 8*h - 5*h = 3, 2*l + 5*h = -1. What is the units digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 1. Let r(c) = 5*c + 4 + 3*c**2 + 6*c - 29*c + 9*c. What is the remainder when i(-16) is divided by r(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2 - 2)*(1853 - 1853 - 162*q) + (q**2 + 0 + 0)*(-3*q + q + 3*q).\nAnswer: 487*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3093 and 21646876?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16653 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 32 + 11. Let t = 9 - x. Solve -5*w + 17 = 3*y + t, -5*y + 25 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530186420?\nAnswer: 2, 5, 26509321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**6 + 4*r**2. Let t(b) = 55*b**6 - 55*b**2. Let l(i) = 85*j(i) + 6*t(i). What is the third derivative of l(q) wrt q?\nAnswer: -1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -22. Let m be 3\/(h + (-10)\/(-4)). Solve 3*n - 3 = m*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063190326?\nAnswer: 2, 3, 7, 3221, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43738.12ml in litres?\nAnswer: 43.73812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4911276 is divided by 335?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114253679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100606 and 10098?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -14*k + 68. Is h(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -663, -4, -3 in increasing order.\nAnswer: -663, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 1\/21*s**4 - 44*s - 8\/3*s**3 + 38 + 56*s**2. Let o(u) be the first derivative of z(u). Solve o(x) = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003 - -3233?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/8, 0.5, -0.2, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 18*i + 70. What is h(11)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -17488?\nAnswer: 3\/17488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 1. Let c(o) = o**2 - 22*o + 39. Let b be c(20). Let s(v) = 6*v - 6 - 5*v - 5*v. What is b*s(j) + 5*n(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 4 = 3*w - 5*h, 0 = -3*w + 4*h - 71. Let k = 21 - -7. Let j = k + w. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -494041 - -1778242. Let v be 8\/(-2) - (-3 + 3884200). Let s = v + p. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 91?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 153?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 23 - 12 + 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 0*f**2 + 0*f + 0*f**4 + 8*f**3 + 23 - 21\/5*f**5. What is the third derivative of x(m) wrt m?\nAnswer: -504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.87 + -33.97. What is the nearest to g in 1, -2, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 16*h + 1\/8*h**4 + 1 - 9*h**3 + 243*h**2. Factor y(k).\nAnswer: 3*(k - 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105.9 + -106. Let p = 2575 + -2577. What is the closest to 8\/39 in p, w, 5\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 0*o - 2\/3*o**2 - 1\/15*o**5 + 1 - 5\/12*o**4 - 8\/9*o**3. Factor j(u).\nAnswer: -u*(u + 1)*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2.8389, -3\/8 in decreasing order.\nAnswer: -3\/8, -2.8389, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(2469*l**5 + 10*l - 1134*l**5 - 3*l**3 - 1375*l**5).\nAnswer: -80*l**5 - 6*l**3 + 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/11 (b) 18 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177086 is divided by 2186?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (8 - -5 - 12)) + (2 - 3) - 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -18 + -4 - 0 - -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -291*s**2 - 239*s**2 + 469*s**2 + 2*s**3 in the form l*s**2 + k*s**3 + d*s + r and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2) + 2 - ((sqrt(2) + 2 + sqrt(2))*5 - sqrt(2)))**2.\nAnswer: 176*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112638 (base 9) to base 3.\nAnswer: 10102201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 10*r**3 + 107*r**5 - 103*r**5 + 22*r**3 - 20*r**4 - 16*r**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57890 is divided by 19295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(567)*-2*3)**2)*3 + -3 + ((sqrt(560) + sqrt(35))*6)\/(sqrt(80) + sqrt(80) + (sqrt(80) - -2*sqrt(80))).\nAnswer: 3*sqrt(7)\/2 + 61233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13694?\nAnswer: 2, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386\/15 + (742760\/(-4650))\/(-599).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5556?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 831 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -214, -207, -198?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 0 + 31)*1. Suppose -207 - r = -3*m. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (0 - (-46 + 16 - (12 - (3 + -2))))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 242131 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 2)*(-m + m - m) - 71*m - 27*m - 3 + 322*m + 519*m to r*m + s and give r.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110 <= 2116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43814 + 68257. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5972589267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 100 = 96. Sort 3, -1, 1, u in descending order.\nAnswer: 3, 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + q - 1. Suppose 0 = -2*l + 22 - 8. Suppose 5*m + 2 = l. What is b(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:41 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*19*-3. Suppose o - t = -2*o + q, 5*o - 32 = 2*q. What are the prime factors of (-19)\/(-7) - o\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -21. Let j(z) = z**3 + 2*z**2 - 6*z - 5. Let m be j(o). Let l(k) = k + 0*k + 2 + 3*k**2 - k + m*k. Give l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*q + 260 = 0, 116 = -a - 3*q - 10. Let j be (-6228)\/a - (-2)\/(-11). Let z = 65 - j. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367263.\nAnswer: 3, 13, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.21 or 11087?\nAnswer: 11087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2113 + -132?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - (-70)\/42. Differentiate -4*w - 480*w**2 + 4*w + 477*w**c + 2*w - 58 with respect to w.\nAnswer: -6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 135.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*n + 3, 5*n + 2*y + 11 = y. Suppose 4*v - u = 3*u + 8, 3*u = -9. Let d = v - n. Solve 0 = 2*c + 7 + d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4, -j + 4 = 5*u - 3*j. Suppose u = -12*c + c + 1331. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - n = 221, -2*k + 2*n + 90 = -0*n. What is the greatest common factor of 154 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 7*x - 138. Calculate the least common multiple of g(-16) and 146.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 175*q**3 - 386*q**2 + 336*q.\nAnswer: -q*(q + 3)*(q + 56)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.51*458.32.\nAnswer: -2525.3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, y: 1, q: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxy when three letters picked without replacement from {k: 7, q: 8, y: 2, x: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 29370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = 3*r. Suppose r*k - 7*k = 0. Is k greater than or equal to -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 14) to base 6\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*t + 30083 + 4913 - 7736 = -13620 for t.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Suppose -y + 3*m = -5, -2*y + m - v*m + 45 = 0. Solve j + 1 = 4*z + 14, -5*z - y = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(70) - 1*sqrt(70)*-3)\/((sqrt(110) + (sqrt(110) - -2*sqrt(110) - sqrt(110)))\/sqrt(11)).\nAnswer: -3 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44151 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**(-47)*z**(-1)*((z*z\/z**(-1\/5))\/z)\/z assuming z is positive.\nAnswer: z**(219\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012628 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x. Let m be 55\/((-3)\/(x - 3)). Suppose -2*k - 3*k + 25 = 0. What is the greatest common factor of m and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5187 or -5183?\nAnswer: -5187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 17*s - 54 = -7*q + 2*q + 2*q, -3 = s for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)\/(u\/(u\/u**2))*(u\/(u**6\/u))\/((u*u**(1\/5)*u)\/u))**(2\/53))**28 assuming u is positive.\nAnswer: u**(-3136\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3 + 3)*(4 + 19 + 3).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 10*n + 1. Calculate h(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:10 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 482 + -505. Let y = 23.9 + -0.7. Let f = g + y. Put 7, f, 1\/3 in decreasing order.\nAnswer: 7, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/304 and -83\/10?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/75)\/(-11*1\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -117a953 (base 12) to base 4\nAnswer: -30331233033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 8820 = 0. Suppose -4*x - s = -5*k, -x + 0 - 1 = 0. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33\/15)\/((-28)\/(-245)). Let k = 19 - z. What is the closest to -1 in 6, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 743*u**3 + 441*u**2 + 12*u - 6. Let a(n) = 5943*n**3 + 3528*n**2 + 98*n - 49. Let s(t) = -6*a(t) + 49*j(t). Find the third derivative of s(l) wrt l.\nAnswer: 4494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0 + 0)*(-2 + 6 + 6) + (-2 + 2 + 2)*((-2 + 1 + 0)*(3*l - l + l + (0 + 0 + 1)*(-3 + 3 - 4*l)) + 2*l + l - 2*l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 2, n: 4, v: 2, h: 3, x: 7}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 35. Suppose -4*k + 169 = -c - 59, -b*k + 220 = c. Does 7 divide 7\/(k\/6)*40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2803 - -41?\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139951 is divided by 7774.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 205\/4)*(-20)\/(-15). Suppose 4*h + 16 = 0, 5*h + 8 = 5*c - q. Calculate the remainder when 108 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/6 - 11*o**3\/6 - 20*o**2\/3 - 14*o\/3 = 0.\nAnswer: -2, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02928 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38867029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*3\/6 - (-15)\/(-27). Let q = 2 + 3. Which is the second smallest value? (a) g (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.28371\nAnswer: -0.28371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.08 - 1.08. What is the closest to a in 0.3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 6*x - 4*x)*(4*x + 488 + 502 - 929).\nAnswer: 4*x**2 + 61*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 + -169.2. Which is the nearest to n? (a) -0.4 (b) -4 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3575 + 928 + 48*t**2 + 355 + 3*t wrt t?\nAnswer: 96*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94109680?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*v + 3 - 414*v - 3.\nAnswer: -106*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + (-3 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 3 - (-21 + (38 - (-3 - -16))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0434*-0.0572.\nAnswer: 0.00248248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzoz when four letters picked without replacement from orzzrzzozrzz?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 2\/9 (b) 0.17 (c) 1\/16 (d) 1\/261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.759141ns in hours?\nAnswer: 0.0000000000227108725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/62622 and 43\/7668?\nAnswer: 375732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = 3*o + 7*o - 3*o + 28 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 203051768 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4\/2 + 99*y**3\/2 - 105*y**2\/2 - 99*y\/2 + 51 = 0. Calculate y.\nAnswer: -34, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:04 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Suppose -2*d = -g - 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 2:54 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179\/6 - -30. Let i(p) be the first derivative of 0*p**3 + 0*p + 0*p**4 + 1\/2*p**2 + 0*p**5 + g*p**6 + 3. What is the second derivative of i(r) wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -12 (b) -4\/85 (c) -7 (d) 1\/2 (e) 1 (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-35))\/(2 + 14\/(-8))*(2334 - 2306).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 - 3*o - 6. Let z = -11 - -17. Let k be s(z). Let a be (6\/(-8))\/(1\/(-16)). What is the greatest common factor of a and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 40*q**2 + 82*q + 165. Calculate c(-42).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16026, 17485, 18902, 20271, 21586?\nAnswer: 22841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -23. Let t = 9.076 + h. Let l = 0.0760047 - t. Round l to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711338?\nAnswer: 2, 355669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 244410423*j**2 + 106261983 wrt j.\nAnswer: 488820846*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1178 - (-1)\/((-3)\/6). Let l = g + -31748\/27. What is the common denominator of 68\/9 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 4) + -53 + 58. Solve 2*t + 6 + 0 = a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 2653.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.62 and 54?\nAnswer: 53.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/8 and 71\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose -8*s - 30 = -k*s. Which is the smallest value? (a) -4\/3 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -411*a - 143. Let m(i) = -138*i - 51. What is -11*m(o) + 4*u(o)?\nAnswer: -126*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.27 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*x - 15, -5*x - 3*j - 3 + 18 = 0. Suppose m - 119 = -3*v, -v - x*v + 2*m = -142. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let r(s) = -884174*s. Determine u(r(g)).\nAnswer: 884174*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t - t - 4*t + t. Let h(b) = -b + 4. Let a be h(6). Let i(w) = -4*w - 2. Let g(z) = -3*z - 3. Let x(d) = a*g(d) + 3*i(d). Determine x(y(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1623, 3116, 4609, 6102, 7595, 9088?\nAnswer: 10581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26458730 and 1160?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + d. Let y be h(1). Let a be y*6\/4*-2. What is the third biggest value in -0.3, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/448? (a) -0.4 (b) -219 (c) 2 (d) 179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*c - 2*l, 10*c + 3*l = 11*c + 22 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:42 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-498)\/(-21) + 2\/7. Let l = z - 16. Find the common denominator of 2\/l*488\/10 and -125\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 14607746?\nAnswer: -14607746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*n + 13*n + 4147 = 209*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -188, -744, -1630, -2846, -4392?\n\"Answer: -165*t**2 - 61*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -18810\/20953 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4332190108.\nAnswer: 2, 31, 53, 659189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13\/(-6))\/(14*23\/(-3270876)).\nAnswer: 13, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -33*x**4\/4 - 3*x**2\/2 + 6*x + 65. What is the second derivative of o(b) wrt b?\nAnswer: -198*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x + 2. Let z = -8 - x. Suppose -6*v + 7*v - 10 = z. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 89623952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -850*2.85.\nAnswer: -2422.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -138823.1 * 41\nAnswer: -5691747.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:47 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 6*s**2 + 4. Let b = 0 - -13. Let y = -19 + b. Determine i(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1590 divided by 3\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1743553 and 1659.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4505 + 176 - 721 = 4*i, i = 0. Calculate the greatest common factor of j and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 + r**2 - 2*r**2)*(-37*r - 75*r + 148*r - 28*r + 160) to the form u*r + v*r**2 + f + b*r**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 0. Suppose -5*f + 23 = 4*c, -f + z*c + 5 = c. Suppose 2*n = -f*n + 20. Sort -1, n, -3 in descending order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, -14\/11, 7, 0.1 in ascending order.\nAnswer: -479, -14\/11, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51343 - -395?\nAnswer: 51728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/78*(-507)\/(-78).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 6. Let y(z) = z + 5. Let w(b) = o(b) + 3*y(b). Determine w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 3*k**2 - k + 15. Let a(z) = -3*z**3 + 7*z**2 + 2*z - 29. Let v(t) = -3*a(t) - 5*m(t). Calculate the least common multiple of 4 and v(-7).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 10*t**5\/3 - 26*t**4\/3 + 8*t**3\/3 + 8*t**2\/3 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g + 4. Let f be u(-4). Suppose -f = -n - 3. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -y - 4*d, 10 = -2*y - 0*d - 5*d. Suppose 5*b = 104 - 9. Let u = b - y. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(4) - sqrt(15))*-3*-1)\/((sqrt(80) - -2*((sqrt(80) - sqrt(80)*1) + sqrt(80) - sqrt(80))) + sqrt(80)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpbbmbbrrmbbbz. What is prob of picking 2 b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-95)\/(-5) + -1. Let j be 15\/m + (-1)\/(16\/(-4)). Does 46 divide (j\/4 - 1)\/(23\/(-8464))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + z - 3*z + 10, -5*z = -25. Suppose -w - 4*m + 2 = l, 2*w - 2*m - 4 = -0*m. Suppose 18 = 4*y + w. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13967, -13972, -13977, -13982, -13987, -13992?\nAnswer: -13997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.34 - 0.364. Let t = 6.304 + m. What is t rounded to one dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3486211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3520 and 48?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -653332132 - 0?\nAnswer: -653332132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (81 + -77).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/5))**(2\/75)\/(((p*p**(-10))\/p)\/(p*p\/p**9*p*p)))**(-25))**22 assuming p is positive.\nAnswer: p**(-41338\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-19))**(4\/9)\/(((((w\/((w\/(w\/w**17))\/w))\/w)\/w)\/w*w)\/(w**(2\/15)\/w)) assuming w is positive.\nAnswer: w**(1126\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/120 + h**5\/60 + h**4\/24 + 5*h**3\/3 + 53*h**2. Determine c(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, -0.7, -1.\nAnswer: -1, -0.7, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(133)*2)\/(sqrt(567) - (sqrt(567) + (sqrt(567) + -2*sqrt(567) - sqrt(567)))) + -1*(-3 + 5*1*sqrt(684))**2.\nAnswer: -17109 + 541*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1610 and 70?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2178280013\/52 + 1\/(-4). What is j rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7058, -14145, -21222, -28283, -35322, -42333?\n\"Answer: m**3 - m**2 - 7091*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 0.124?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1 - (-4040)\/(-1320))*-9\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 4088.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*l + 4*l = 32*l + 37*l - 552 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:24 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g = -19*g - 387. Solve 27 = 18*q - g*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34277 + 157?\nAnswer: -34120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + sqrt(17) + -1)**2 + sqrt(17) + (2*sqrt(204) - sqrt(204))\/sqrt(12) + 1 - (-1*-5*(sqrt(102)\/sqrt(3) - sqrt(34))\/sqrt(2))**2)*5.\nAnswer: 850 + 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 7) + 26 + (2 - 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 13*u - 42. Let n be x(-7). Is n at most -3\/196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1363968384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2081.6342 + -3669.8.\nAnswer: -1588.1658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5440885 rounded to two dps?\nAnswer: -16.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*2 + 9*1352\/(-780).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(19) + -1 + sqrt(19))**2 - (sqrt(38)\/(-1*sqrt(2)) - (sqrt(228)\/(sqrt(24)\/sqrt(2)) - sqrt(19))).\nAnswer: -47*sqrt(19) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -29 - (36 + (-69 - -34))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (24\/15)\/((-6)\/(-15)) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1182398.\nAnswer: 1\/591199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20942993755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13059*v**2 + 308*v + 5. Is u(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109838394 to the nearest integer?\nAnswer: 10480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7930 and 15860.\nAnswer: 15860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-5)*((-3 - -2) + 2). Determine b so that 1 - 5*b**2 + f*b**2 - 2 + 0 - 1 - 3*b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 14. Let q(a) = 5*a - 21. Let v(c) = -5*q(c) - 8*r(c). Give v(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 4*m - 8, 0 = 2*m + 4. Let i be 11\/c + (84\/(-32))\/(-7). Let w(f) = -160*f**3 - 2*f**2 + 3*f + 3. What is the hundreds digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-5))\/((-304)\/(-1000)). Let w = c - 3\/19. Find n, given that -w*n**3 + n + 0 - 1\/2*n**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*20\/(-6)*-72*33\/110?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 + 3 - 4 + 0*d**2 - d + (0*d - d + 0*d)*(0*d - d + 3*d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8. Let l(c) = c**2 + 1. Let b(k) = 3*l(k) + s(k). What is the derivative of b(p) wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let f = 186 - 182. Suppose 3*w + y = f. Solve -2*r + w = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -2\/151 (c) -0.087 (d) -6 (e) -20 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + o - 4)*(-51*o - 321*o**2 + 326*o**2 - 162*o) to g*o**3 + r*o**2 + x*o + y and give x.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 7*c + 4. Let f be m(-7). Suppose -2*q = -2*z - 4, 5*q = f*z + 7 - 1. Find the common denominator of (z\/(-66))\/(8\/498) and -13\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 23*y - 64. Calculate g(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xywxnxxnpvxynvxvyxw. Give prob of sequence xvy.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*t + 591*t = -909 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71648.65 litres?\nAnswer: 71648650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 212*m**2 + 1800*m - 83. Determine i(8).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 5*v**2 - 4*v.\nAnswer: -v*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 145 (b) -1\/7 (c) -158.8 (d) 11\/8 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-50)\/(-10) - 4). Solve 0 = -s - 5 - p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*w - 10 = 0, -208*f + 206*f + w = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/(m\/(m**8*m)))\/((m*m**13)\/m**(-13)) assuming m is positive.\nAnswer: m**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 152*h**2 + 1209*h + 1829. What is s(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/4 - 647*l\/4 + 651 = 0. What is l?\nAnswer: -651, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3790\/9 - -201356\/477. Let y = 15161\/159 - g. Is 94 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i - 111. Determine m(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.92 + -6. Let m = -304 - -304.07. Let n = m + o. Round n to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3610 (b) -5 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**3. Let n(c) = -6*c**3 + c - 614. Let r(o) = 4*k(o) + n(o). Differentiate r(d) with respect to d.\nAnswer: -114*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Suppose 3 = w*t - 2. Let k(q) = -q**3 - 65*q**2 - 14*q - 894. Let f be k(-65). What is the greatest common divisor of t and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1141 or -38\/27?\nAnswer: -38\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 13*n - 31. What is a(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*g - 78, -4*s - 194 = -5*g - 7*s. Suppose 20 = -5*y, -g = -3*d - 4*y + 1. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-144)*8)\/(-1))\/((-3)\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 2. Suppose o*s + 7 = -q, 4*q = -2*s - s - 3. Is -4 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-2 - -3 - 1). Solve 4*g - r - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((-30)\/5)*2*2. Suppose -15*c - 15 = -20*c. Solve j = 5*z - d*j, c*z + 2*j - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 o when three letters picked without replacement from {e: 2, o: 2, h: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34656 is divided by 33584.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.4 + -22. Let m = h + -4.4. Let a = 6.00000035 + m. Round a to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -11315 (b) -2227 (c) -1\/5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 1. Let c(x) = 24*x + 6. What is -21*b(o) + 4*c(o)?\nAnswer: 12*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429 and 117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-21 + -3 - -12) + 21 - -34187?\nAnswer: 2, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2774 + -2778. What is the biggest value in -9, 0, -12, -2\/9, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:35 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60311, 60319, 60315, 60293, 60247, 60171?\nAnswer: 60059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4409 + -0.1009. Which is greater: m or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - -0.03. Let g = -1 - -1.04. Let d = g - -0.06. Which is the third biggest value? (a) p (b) -2\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4\/15 + 17366*n**3\/15 + 52048*n**2\/5 + 103976*n\/15 - 971488\/15 = 0.\nAnswer: -8674, -7, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 8*v**2 + 7. Let j be d(8). Suppose -j*x = -5*x + 4. Let g be x - 5\/((-40)\/18). What is the biggest value in -0.3, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48 and 168799?\nAnswer: 168847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/120 - a**5\/60 - a**4\/24 + a**3\/2 + 2*a**2. Let s be y(0). What is s rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12375429 and 38.\nAnswer: 470266302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516700 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1634190 divided by -15.\nAnswer: -108946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, 3656, 0, 3 in decreasing order.\nAnswer: 3656, 260, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130\/9 + -14. Suppose 4*z - 6 = -3*s - 21, 2*s + 10 = 0. Suppose z = -5*b + 5. Is c greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666, -2311, -5060, -8919, -13894, -19991?\nAnswer: -27216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**3 - 1. Let o = 9 + -8. Let i be y(o). Suppose 11 = -4*q + 2*q + i*a, -2*q - 3*a + 13 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*k + 142*k - 9*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 + 5 = 0. Suppose 0 = b*n - 0 - 20. Suppose n*l = 97 - 7. What is the least common multiple of l and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28742, 28782, 28850, 28946, 29070, 29222, 29402?\n\"Answer: 14*j**2 - 2*j + 28730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*o**3\/5 - 15678*o**2 - 1236404*o\/5 + 1239792 = 0. What is o?\nAnswer: -138\/7, 4, 5615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (-2 + 8 + -12 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 95*a**2 + 5. What are the prime factors of f(5)?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/(-640))\/((42\/(-20))\/(-7)*-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44244032 (base 5) in base 10?\nAnswer: 384267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 29*o**3 - 3*o**2 + o + 6. Let m(f) = 86*f**3 - 9*f**2 + 3*f + 17. Give -6*m(h) + 17*v(h).\nAnswer: -23*h**3 + 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7642 + -4288. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 0*c**5 + 3*c**5 + (-198*c**2 + 11*c**3 + 198*c**2)*(7*c**2 - 59*c**2 - 11*c**2) - c**5 + 0*c**5 + 2*c**5.\nAnswer: -691*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2465984794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (-5)\/(5\/(-844)) + -111 + 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, f: 4}. Give prob of picking 1 t and 3 f.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2906 - 2951) + 10 + 2\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*f - 17*f**3 - 4*f**3 + 34*f**2 - 33*f**2 wrt f?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 513 - 506. What is the closest to -2 in 2\/3, h, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 12*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/10 - (-912)\/45 and 28\/8*51\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w*z**3 + 2*w*z**2 + 4*w*z + 292*z**3 + 4*z**2 wrt z.\nAnswer: 12*w + 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 2. Let g be h(2). Let x = 37 - 37. Sort 4, g, x.\nAnswer: g, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j + 5*j**2 - 6*j**2 + 2*j**2 + 7 - 22*j**3 - j wrt j?\nAnswer: -132*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*p - 2419*p = -21210 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/45 + 19*f**5\/15 - 73*f**4\/18 + 4*f**3 - f + 103. Suppose j(s) = 0. Calculate s.\nAnswer: 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -20\/3431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + 6 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.189 + 1.599. Let u = -0.38 - f. Let n = u + 1.7. Which is greater: -2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:10 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 501 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 943133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**5\/120 - 13*q**4\/24 - 26*q**3\/3 - 8. Let y(s) be the third derivative of d(s). Give y(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/2079*(-6)\/(-8).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77636625 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.6602ug in milligrams?\nAnswer: 0.1476602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - f = -0*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4 + 135*n**3 + 6831*n**2 + 153549*n + 1293732 = 0.\nAnswer: -36, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -189\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q**3 + 25*q**3 + 4*q**2 - 4*q**2.\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 - 3*o + 2. Let h be 30\/(-12) + (-2)\/4. Let q be l(h). Let a = q - -11. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 11*c**2 - 11*c. Let v be z(-10). Solve 0 = -3*t - v - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 95?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*45\/20*(-2860)\/39.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 3*w**4 + 0*w**4 + 5*w**3 - 2*w**2 + w**4 + 2*w**2 - 4*w**4 + 2*w**4 + 4*w**4 + (0*w**2 + 0*w**2 + 2*w**3)*(2*w + 2*w - 6*w).\nAnswer: w**4 + 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 211, 460, 799, 1222, 1723?\nAnswer: 2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 6*h**2 - 8*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let a(l) = -l. Suppose -18 = -3*r - g - 2*g, -6 = -5*r + 3*g. Let t(k) = r*a(k) - d(k). Let c(u) = u**2. What is t(c(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1. Suppose -y = -3*v + 10, 3*y + 2*y = 3*v - 2. Let d(m) = -16*m. Let h(a) = y*r(a) + d(a). Differentiate h(x) wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 53457*d - 53447. What is u(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1123381\/50 - -22466. Find the common denominator of 107\/130 and j.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m - 7. Let l = -0.42 - -0.02. What is the second smallest value in -3\/5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:47 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n + 10. Let f(x) = -5*x**2 + 6*x - 51. Let g(i) = 2*f(i) + 11*r(i). Calculate the remainder when g(0) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.7 - 14. Let d be (-628)\/(-645) - (-2)\/(-5). Let k = d + 4\/43. Sort 5, k, h in decreasing order.\nAnswer: 5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 5*f - 8*f)*(0 - 3 - 2)*(-2*f**2 - 6*f**3 + 12*f**3 + 14*f**3).\nAnswer: -100*f**4 + 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 188?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p**3 - 2)*(5*p**2 - p**2 + 0*p**2) + (4*p**3 + 3*p**3 - 5*p**3)*(4*p**2 - 2*p**2 - 3*p**2).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18868916 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/1080 - 2*l**3\/3 + 3*l**2. Let u(f) be the first derivative of o(f). Factor u(n).\nAnswer: -n**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6768 and 22662?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = 4*v. Let x = -49.8152 + 7.8152. Which is bigger: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -5\/4 (b) 0.4 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) + (33\/9)\/11. Suppose 2*p + 2*n - 6482 = -2*p, w = 4*p + 5*n - 6479. What are the prime factors of p?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*z**3 + 3)*(14*z - 14*z + 3*z**2) + 5*z**5 + 2*z**5 - 14*z**5.\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5507769?\nAnswer: 3, 1835923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156 + 156 - 4972*k + 1383*k to the form s*k + b and give s.\nAnswer: -3589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 75. Let n = -7.6 - -8. What is the closest to h in n, -3, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h**2 + 1 - 1)*(-25 + 16 + 29)*(184 + 103 - 65 + 24).\nAnswer: -54120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -4. Suppose 5*d + 12 = -u. Put -2, d, 1 in decreasing order.\nAnswer: 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*r + 5 = 0, 0 = -2*u + 530*r - 534*r + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -946197 + 215?\nAnswer: -945a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/99)\/((-59)\/10089)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 96?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24605766 divided by -1366987\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 71. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/420 + 43*y**4\/84 - 85*y**3\/42 - 16*y**2 + 14*y. Factor z(f).\nAnswer: -(f - 85)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (43 + -44)\/(2\/(-4)). Suppose 3*o + 12 = g*w + 49, 2*o = -3*w + 3. Which is smaller: 10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/25728990 and -89\/5145798.\nAnswer: 25728990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 17149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 5913?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 22*a = 0. Let t(i) = i**2 - 4*i + 108. Let m be t(a). Calculate the highest common factor of 24 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/(m*(m\/(m**(2\/33)\/m))\/m) assuming m is positive.\nAnswer: m**(-163\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4486*2*(-1 + 10\/8). Suppose 270 - w = 5*g + x, 0 = 5*g - x + 1977. What is g rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svxvseedxxxexsvxde. Give prob of sequence vs.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**3\/4 + 108*u**2 + 873*u\/4 + 219\/2 = 0.\nAnswer: -1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 6 = -5*c, -5*c = -3*k - 9*c + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*1*-1)**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12172*d + 423 = -12125*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o + 1. What is the tens digit of p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418202106+55.8\nAnswer: 418202161.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.2 + 5.2. What is the nearest to 1 in c, 5, 8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 5. Let p be c(-6). Let m(t) = -t. Let k(s) = -s**2 - 2*s. Calculate p*k(a) + 2*m(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 8 - 8)*(-n**2 + 3*n**2 + 0*n**2) + 1 + 3 - 2 - 5*n + 2*n**4.\nAnswer: -2*n**4 - 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*f - 103. Let z be (-3)\/12 - -3*f\/(-156). Factor 6\/13*h**5 - 12\/13*h**2 - 2\/13*h - 22\/13*h**4 + 28\/13*h**3 + z.\nAnswer: 2*(h - 1)**4*(3*h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c + 3*c)*(73*c - 33*c - 21*c).\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910?\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49319 and 5513.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165.5997632 + -165.6. Round c to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036907667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702046 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 6:13 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - i - 1. Let x be (-1 + 3)*90\/(-20). Let u be (-1)\/(13\/(-7) + 2). Let k = x - u. Determine s(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3707.127 to the nearest integer.\nAnswer: 3707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - (-44)\/(-60). Let q = -2.23 + 0.23. Let y = -2.4 - q. What is the closest to 2\/3 in a, 2, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) -1 (b) -1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/4 - 186325*p\/4 - 279483\/2 = 0. What is p?\nAnswer: -186322, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/9789 - 28303\/10415496. Are d and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*t**4 + 95*l**2 - 1863*t**4 + 138 with respect to t.\nAnswer: 4*l**2*t**3 - 7452*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1149, 4578, 10291, 18288, 28569, 41134?\nAnswer: 55983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 31164, -2\/9, 0.1, 2\/7, -0.3, -0.25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48053421303276 minus -0.02?\nAnswer: -48053421303275.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 15 = 50. Suppose m*i = 5*i - 3*l + 5, 0 = -2*i - l + 3. Suppose 0*x + 4 = 4*x. Calculate the remainder when x is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*k - 305*k + 1346*k - 299*k - 36*k**3 - 306*k.\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60641472 rounded to 4 dps?\nAnswer: -0.6064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -15*v - 22. Let f be (-1)\/((-1)\/10 - 0). Let a be v*2\/10*f. What is the smallest value in a, 5, 0.02?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 117*u + 19530 = 792*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.34 (b) 0.2 (c) 2\/19 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295732651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -20. Let c be (p\/(-6))\/((-8)\/48). Which is smaller: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 7) to base 6.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5816 + -5816.05922. Round h to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.51 + -53166\nAnswer: -53164.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/19*(-3)\/6. Let v(o) = -o - 12. What is v(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 5.\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-67)\/4)\/((-2)\/(-8)). Suppose x*g = 64*g + 138. What is the remainder when 124 is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - 0) - (-4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 186?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 78477.703 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-945 - v + 577 + 570)*(2 - 5 - 5)*(2*v**2 + 0*v**2 - v**2) in the form b + i*v**2 + q*v**3 + o*v and give i.\nAnswer: -1616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/4))\/(f\/(((f*f\/(f**(-20)\/f)*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -233021240 (base 5) in base 3?\nAnswer: -2000001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l**2 - l + (2*l**2 + 2*l - 2*l)*(0 + 0 + 1) - 9 + 9 + 9*l**2)*(5*l**3 - 2*l**3 - l**3).\nAnswer: 26*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -133\/29, -10, 3\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 101101010000010011100010?\nAnswer: -101101010000010011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = 5*t + c, -15 = 5*t - 2*c. Let j be (t - 0)*(-3)\/3. Let s be ((-2)\/j)\/((-8)\/20). Solve 3*f = 2*f + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 + (3 - 6) + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose -o*u = -37 + 1. Calculate the highest common factor of 96 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*p - 2*j = -355*p + 60, 163*j + 20 = -p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/5 - 188*b**2\/5 - 38*b = 0.\nAnswer: -1, 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 918*c**2\/5 + 911*c\/5 - 5502\/5.\nAnswer: (c - 2)*(c + 3)*(c + 917)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6545 by 1309.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4910.16135 to the nearest 10.\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17951, -17975, -17989, -17987, -17963, -17911, -17825, -17699?\n\"Answer: h**3 - h**2 - 28*h - 17923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -204*v**5\/5 - 483*v**4\/5 - 72*v**3 - 87*v**2\/5 - 6*v\/5 = 0. What is v?\nAnswer: -1, -1\/4, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.56 and -0.4.\nAnswer: 9.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - s + 13, 3*w = -3*s + 8 + 4. Suppose 2*f - 578 = -3*t - 34, 814 = w*f + 5*t. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (11 - 6\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0 + 0 + (-2 + 3 + 1)*(-6*o + 2*o + 2*o) - o - 1 + 1)*(106*o**2 - 4*o - 26*o**2 + 25*o**2).\nAnswer: -630*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7568 and 4472.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4504 (b) 1\/83 (c) 0.053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 82*y**5 + 5*y**2 + 58*y + 5. Let x(i) = i**5 + i**2 + 1. Let c(g) = -a(g) + 5*x(g). Find the second derivative of c(k) wrt k.\nAnswer: -1540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 - 4*h + 4. Let x be u(1). Find the third derivative of -11*t**4 - 23*t - 33*t**2 + 28*t**2 + 21*t + 3*t**x wrt t.\nAnswer: 180*t**2 - 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 46. Let f be c(19). Suppose -4 = 10*k - f*k. Let z be -47 + k + -1 - -4. What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1080 = 1358. Is u less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 311427.\nAnswer: 622854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 769890 and 559920.\nAnswer: 6159120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -788, -1658, -2614, -3656, -4784, -5998?\n\"Answer: -43*w**2 - 741*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 3*p - 4. Let g be x(-4). Let c be (-15)\/(3 + g)*-1. Suppose 0 = -c*y + 37 - 12. Solve 3*w = 4*w - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/10)\/(7\/(-105)) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 471*b**2. Let y(j) = 3*j**2. Calculate o(y(s)).\nAnswer: 4239*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 = f + 137. Let r = -185 - -198. Suppose r*w + f = 16*w. List the prime factors of w.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4183663209?\nAnswer: 3, 11, 491, 23473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 348229.14.\nAnswer: 13929.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c\/(c*c**(1\/3)))\/c*c*(c*c*c**(-1))\/c*c*c\/(c*c\/c**(-5))*c**(2\/17))\/((c**(2\/9))**(-5\/8))**(-2\/93) assuming c is positive.\nAnswer: c**(-91597\/28458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 230?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.2567 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4027109\/132 + -30508. What is the common denominator of o and -89\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2 + 2)*(-2*b**4 - 4*b - b + 2*b).\nAnswer: 6*b**5 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f - 5. Let h be v(3). Let x be ((5\/5)\/1)\/h. Let q be (-2)\/(-3) - -2*2\/(-4). What is the third biggest value in q, -2\/7, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:53 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*d - 533520 = -26*d. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3)*-9*16\/(-1440).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, o: 3, p: 1, u: 6}. Give prob of sequence mpo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30587737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133.45 + -241. What is p rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*t + 2*y, -3*t + 4 = 4*y - 1. Let o be ((-20)\/(-450))\/(t\/(-5)). Which is the third biggest value? (a) -1 (b) o (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(4\/25)\/(k**(-5\/4))**(1\/8) assuming k is positive.\nAnswer: k**(-3\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -790*g - 2*g**2 + 2 + 394*g - 7*g**3 + 397*g to a*g**3 + v*g + q*g**2 + r and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*s**5*v**2 + 28*n*s**2*v - 318*n*s*v - 5*n*v**2 wrt s.\nAnswer: -20*n*s**3*v**2 + 56*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 729 by 4.\nAnswer: 729\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 - 409. Let m = 278.99 - -0.01. Let w = o + m. Which is smaller: w or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbsy when four letters picked without replacement from {m: 6, b: 1, y: 2, s: 1, h: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26740\/12 - (105\/(-9) - -13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w - 12. Calculate the lowest common multiple of w and 6206\/749 - (-4)\/(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -420 + 456. Calculate the least common multiple of 24 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 470782 and 362140.\nAnswer: 4707820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c + 39*c - 10*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 146*x - 105*x - 327 + 51 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 4)*(-2 + (-24)\/(-15)). Let k be (-20 - 0)\/2 + 2. Is (k\/f)\/(6\/(-555)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*j - 4*k - 0, 5*k = 20. Suppose j*t - 4*f = 176008, -3*t + 4*f = -0*t - 264008. Round t to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*u + 0*u**4 - u**2 - 3*u - 4*u**3 - 2*u**4 + 3 - 7*u to z*u**3 + y + m*u + r*u**2 + w*u**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.67353ng to micrograms.\nAnswer: 0.08167353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 6*o**2 + 3*o**2 + (5*o - 4*o + 0*o)*(-2*o - o + 5*o) - 3*o**2 + 0*o**2 + 4*o**2 - 35 - 6*o**2 + 2*o**2 + 6*o**2 + 9*o**2 + 17*o - 17*o.\nAnswer: 13*o**2 - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/364 and 103\/486024?\nAnswer: 6318312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -180 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*h = -66 - 191, h = 5*b - 424. What is the greatest common divisor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37\/8 (b) -4\/49 (c) -2\/1283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36009 + -40385826.\nAnswer: -40349817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 4, r: 2, b: 1}. What is prob of sequence rlrk?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -62*l - 320. Give r(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43219 by -11.\nAnswer: -3929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4*(-6)\/3. Let j = -50 - -148\/3. Let m be 0\/(-1)*(-7)\/14. Sort m, j, k in decreasing order.\nAnswer: k, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 529, 2, -296 in increasing order.\nAnswer: -296, 2, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 5 - 6\/3. Suppose 0 = s - 4*s - 5*r + 80, 2*r = -3*s + 86. Let a be (-2)\/(-10) - (-12)\/s. Which is greater: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1585\/56 - 581\/24. Calculate the common denominator of -41\/201 and x.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 8801?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507803 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 6. Let m = -3171 + 3175. Let q(x) = 5*x + 5. What is m*q(c) + 3*k(c)?\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/973 and -33\/80281535.\nAnswer: 561970745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 5. Let l be n(6). Calculate the remainder when -21*(-1)\/(-6)*-2 is divided by 2 + l\/1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*d**3*y - 873133*d*y + 2*d - 56818318*y wrt d?\nAnswer: 21*d**2*y - 873133*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6\/(-9))*6\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*x = 10, 5*x + 10 = -3*p - 0*p. Suppose -p*k + 38 - 98 = 0. Is 7 a factor of (-260)\/k + (-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 14. Suppose 4*a + 2 + 7 = r, 0 = -o*r - a + 14. Solve r = 5*z - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 13625761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 175?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((2\/(-63))\/(310\/(-465))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-eight thirds of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*x - 4910 = 218*x + 1250 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:54 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011763 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p\/((p*p\/(p\/(p*p\/(p\/p**(-4)*p*p*p)*p*p)))\/p)))*p*p**(-12)*p assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b*j**2*s*w**3 + 12*b*j**2*s + b*j*w**3 + b*w**2 - 3*j**3*s + 4*j**3*w**3 - j**2*s*w**2 wrt w.\nAnswer: -72*b*j**2*s + 6*b*j + 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**2 - 214*t - 7. Let w(a) = -19*a**2 + 299*a + 10. Calculate 7*o(y) + 5*w(y).\nAnswer: -4*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 + 13. Let d(a) = -a**2 + 2. Determine -39*d(h) + 6*w(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2178*j*k**4 + j*k**2 - 13*j*k + 12*j + k**3 + 21*k wrt k?\nAnswer: -26136*j*k**2 + 2*j + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 36 = -3*f. Let b be (-1)\/((-4)\/(-12)) - -5. Suppose y = -3*m + f + 17, -4*m = b*y - 52. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.2, 1\/4, 0.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/3)*a*a))**(35\/2) assuming a is positive.\nAnswer: a**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -723.\nAnswer: 17352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.182 * 733\nAnswer: 133.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 119 = 956. Suppose -12*d + 1428 = -60. Suppose d = 4*u + 2*y, -3*u + 4*u - 31 = 2*y. Calculate the greatest common factor of i and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -900 + 923. Let b be ((-12)\/14)\/((-12)\/42). Solve -2*o = m + 3, 6 - q = b*o + 4*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.49 times -0.3?\nAnswer: 1.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 1, w: 6, o: 9, d: 1, b: 2}. What is prob of picking 1 h and 1 b?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 3*t**3 + t**3 - 4*t**3 + 2*t**3 + 5*t**3 + (2*t - 4*t + 0*t)*(-3*t**2 + 6*t**2 - 2*t**2).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/6 - (10\/2 + -2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -5.877 (c) -1\/6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*35.72.\nAnswer: 14.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -28*d + 22. Let b(z) = -5*z + 4. Let h(c) = -11*b(c) + 2*i(c). Let n(m) = -505*m**2. What is n(h(k))?\nAnswer: -505*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74206 is divided by 186.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -375888, -375886, -375884, -375882, -375880, -375878?\n\"Answer: 2*a - 375890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69.5 - -75. Let t = w - 3.5. Sort 0, -2\/11, -0.6, t in increasing order.\nAnswer: -0.6, -2\/11, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/3*(55 + (-16)\/4). Let g = s - -337. List the prime factors of g.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 38 = -20*n. What are the prime factors of (-1725)\/n - (-34)\/(-51)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/78)\/((57\/9)\/(-19)). Put -0.5, -0.1, v, -1\/7, 15.4 in ascending order.\nAnswer: -0.5, v, -1\/7, -0.1, 15.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(((z\/(z\/(z*z**(-1\/12))*z))\/z)\/z)))**(2\/35)*(z*z*z*z\/((z**(2\/13)\/z)\/z*z)*z)**(-1\/9) assuming z is positive.\nAnswer: z**(-1259\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*n + 4*x, 23 = 4*n - 0*x - 3*x. Suppose -n*j + 5 = -1. Suppose 0 = -4*o - 0*w - w + 30, -j*o - 2*w + 25 = 0. Solve 3*l - 2 = o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 + 18*k**3 - 11*k**3)*(-5*k - 8 + 11*k - 5*k).\nAnswer: 12*k**4 - 96*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-8))\/3*(-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -4\/5 (b) 4 (c) -2 (d) -6\/7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*n**3 + 0*n**2 + 0 - 4\/5*n = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:13 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -633 * -15.\nAnswer: 9495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u + 3*u + 2*u)*(8 - 8 - 21*u**3) as v*u**4 + q*u**2 + k*u**3 + z*u + b and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 0. Suppose -3*u + 9 = 3*r, -22 = q*u - 9*u + 2*r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20007 and 855?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1651 - 1651. Put -327, -5, h, -4 in increasing order.\nAnswer: -327, -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4762444 by -1190611.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 15. Let j be w(-2). Solve j*r + 106 = -9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, -1 in descending order.\nAnswer: 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88\/3 of a decade?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -7\/3 (c) 0.6 (d) 13\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 43961800 and 43961801 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 2. Let c = 8 + s. Suppose 5*r = -9 - c. Let t(u) = u**3 + 3*u**2 + 2*u. Give t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*h + 135 - 413, 3*l + h - 290 = 0. Suppose -25 = -2*z + 5*u, l*z + 68 = 100*z - 4*u. Solve n + 17 = z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/75903 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -157, 8 in ascending order.\nAnswer: -157, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17920588 to four dps.\nAnswer: 0.1792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99615297 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4 + 29 = 0. Suppose -5*y + v = -5. Let r = -65 - -67. Solve r*j = 4*j - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 - 24*v**2 + 44*v - 24 = 0. What is v?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, v: 4, z: 1, g: 4, u: 1}. What is prob of picking 1 u, 1 v, and 1 g?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + -31 + 31\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:05 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -3.5. Which is the nearest to 2\/3? (a) -3 (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1, -13, -1, -293, 3 in decreasing order.\nAnswer: 3, 1, -1, -3, -4, -13, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -431.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-343735)\/(-115) + 2*7\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152401256?\nAnswer: 2, 7, 2721451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2866*x + 2379*x - 4046*x.\nAnswer: 1199*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from ggcttcccggtcgpg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 399 and 196329.\nAnswer: 3730251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691111 is divided by 1287.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -2. Let l(a) = 35*a**2 + a - 2. Let m(c) = -34*c**2 - 2*c + 2. Let t(r) = 3*l(r) + 2*m(r). What are the prime factors of t(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/144*36)\/((-3)\/8). Let g(k) = -63*k + 2. Does 38 divide g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4818 (base 12) to base 8\nAnswer: 17624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**2 + 0*b**3 - 3\/50*b**5 + 0 + 14*b - 1\/75*b**6 - 1\/15*b**4. Factor w(m).\nAnswer: -2*m**2*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 905 and 105?\nAnswer: 19005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -243024 divided by 81008\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 51 = 2*b. Suppose 4 = -m, -4*m = -3*s + 79 - b. Suppose 4*o = s, -4*o = 5*g + 26 - 76. Calculate the remainder when 77 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2. Let x(j) be the second derivative of -j**5\/60 - 2*j**3\/3 + 22*j. Let v(n) be the second derivative of x(n). Calculate v(b(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.13504 years in centuries?\nAnswer: 0.4613504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 36*t**2 - 220*t + 3134. What is m(17)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d = -5*i + 1429 - 1490, 0 = 3*i + 6*d + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2438671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 + 38*y + 36 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -y + 14, -7*y + 3*y + 22 = 3*t. Suppose -u + 321 = v, y*u = 5*v - 1319 - 313. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 3. Let w be a(-5). Suppose 14*c + 1900 = 64*c. Calculate the greatest common factor of c and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 2, j: 1, i: 1}. Give prob of picking 1 j, 1 n, and 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-300)*-25*(-1)\/(-5). What is the nearest to 1 in -1, 2\/9, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i. Let j(k) = -115*k. Determine x(j(f)).\nAnswer: 805*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2. Let l(w) be the third derivative of w**4\/12 - w**3\/6 + w**2. Let f be l(2). Calculate y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1485289\/2679800 - -10\/13399. Let b be (0 + 2)*(-9)\/100. Let t = k + b. What is the nearest to -0.1 in t, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) -0.615 (c) -1 (d) -0.4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3*1595475\/115500 - (8 - 31).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oopooooo. What is prob of sequence opo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 5\/6*v**4 - 13*v + 0*v**3 + 0*v**6 + 0*v**7 - 1\/8*v**8 + 0*v**2 + 0 + 0*v**5. What is the third derivative of m(s) wrt s?\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8946 and 5964.\nAnswer: 17892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/63385)\/(6\/14). Let m = 1939577\/10866 - r. Let o = m + -689\/4. Find the common denominator of 49\/2 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 0*s**4 - 5 + 4 - 10*s**3 to the form w*s**3 + h*s**4 + i*s + y*s**2 + k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25648610 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*27\/5103*9.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 738*j*r + 640*j wrt r.\nAnswer: 738*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033.95411 minutes to weeks.\nAnswer: 0.1025748125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*13\/((-26)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 205234*h - 798. Let s be x(-3). What is s rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q. Let d(z) = -1546846*z**2. Give o(d(a)).\nAnswer: -4640538*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 65 = -p, 3*i = -2*p + 4*p - 129. Suppose 3*u = -x + p, -3*x = x + 12. What is the highest common divisor of u and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 + 1. Let r be q(-1). What is the third derivative of r*o**2 + o**5 - 4*o**2 + o**5 wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 3}. What is prob of picking 1 w and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(2\/11)\/n)\/n)\/((n\/n**(-2\/11))\/n) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 3*v**2 + 8*v - 2. Does 2 divide u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 4*h = 23*q - 696, h = -3*q + 504. What is the remainder when 1968 is divided by q?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r + 3. Give k(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 20846?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.29 + 0.235. Let r = 1892.175 + -1893. Let d = r + m. What is d rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*u + u + 4*c, 39 = 3*u - 5*c. Let x(w) = -w**2 - 4*w + 25. Let t be x(-5). What is the greatest common divisor of u and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*u + 4*m, 10*u + 3*m = 7*u + 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -6 in descending order.\nAnswer: -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51)\/17 - (-291)\/(-6). Do d and -51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/11 - (-17)\/((-1122)\/(-8460))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -107a + 3?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/360 + p**5\/15 - 25*p**4\/8 - 28*p**3 + 191*p**2. Let t(n) be the first derivative of v(n). Differentiate t(k) wrt k.\nAnswer: -2*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**2*k*l*z - 22*b**2*k - 311*b**2*z - b**2 - 11*b*k*l - 2*b*k - 42*k*z - 2*k + 4*l wrt z?\nAnswer: -7*b**2*k*l - 311*b**2 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 13*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**3\/3 - c**2 + 2*c + 4. Let l be 8\/(-2)*1\/2. Let x be s(l). Solve 2*w + v = 0, v = -x - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -36, -44, 0, 5\/3, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/143*-13*10\/2. Solve 2*j - 2*u = -u + 4, 5*j - o*u = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/42*j**4 + 72*j + 529\/7*j**2 + 0 - 46\/21*j**3. Factor r(v).\nAnswer: 2*(v - 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 6464\/4867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18423 - 18422.9992412. Round d to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 6570?\nAnswer: 6567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 140 = -16*i. Let y(u) = u - 2. Let w be y(7). Calculate the greatest common divisor of i and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 869 - 798. Are 67 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 16*s**2 - 9*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 984 and 1640?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1189, 53, -1819, -4415, -7723, -11731, -16427?\nAnswer: -21799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 886226.7 tonnes?\nAnswer: 886226700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 5*n + 10. Let q be a(5). Let z(v) = 2*v + q*v + 2*v. Let u(b) = -3*b - b + 5*b. Give u(z(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a - 6. Let k(g) = g**2 + 39*g - 32. Determine 2*k(q) - 11*w(q).\nAnswer: 2*q**2 - 10*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 66*b**2 - 75*b**2 + 2*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 368, 727, 1088, 1451, 1816?\n\"Answer: j**2 + 356*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -255\/2 - -126. Let m = -0.41 - 3.55. Let h = m - 0.04. Which is the biggest value? (a) -5 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 110.2. Which is the closest to 2? (a) -4 (b) w (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -110 and 11.1.\nAnswer: -98.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = -2. Let o be (2\/4)\/(i\/12). Is 4\/o + (-478)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -7)*(-25016 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 210, 232, 254, 276, 298, 320?\n\"Answer: 22*i + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30148 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/8 - 2*h**3\/3 + 14*h**2. Determine v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*q**2 + 9*q**2 + 131*q**2.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -10\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -613790427*u**2 + 382049504*u?\nAnswer: -1227580854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**4\/24 + d**3\/6 - d**2. Let m be w(-4). Suppose 2*r - 5*x + 11 = -16, 3*r = m*x - 28. Are -2\/7 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/48 and -35\/12648?\nAnswer: 25296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -156*j + 854. Solve 0 = -5*f - 10*y + j*y + 13, 5*f + 2*y - 17 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.32 + 0.02. What is the closest to -1 in 1, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -61. Suppose 5*m - 35 = -p + 45, 25 = 5*p. Determine s, given that -75*s**2 + 3 - m - 12*s + h*s**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2350533 - -68?\nAnswer: -2350454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 770 and 16?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1483881152.9 - -0.0025.\nAnswer: 1483881152.9025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44836709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314198187 and 13198?\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t = 14*t - 351 + 31 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = 3*p, -3*k = 9*p - 13*p - 2. Sort 5, 4, k, 6 in increasing order.\nAnswer: k, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215240 divided by -14820?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 15) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223.159 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.396963t?\nAnswer: 2396963000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 8*p**2 + 14*p + 53. Calculate s(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) - -1 - -1607. Let o = 8098\/5 - j. Let v = 47 + -95. Find the common denominator of v and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248, 1249, 1260, 1287, 1336?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76.2 or -6168?\nAnswer: -6168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2032310 (base 7) to base 15\nAnswer: 4c17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 31779638 = -27*i + 41*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154000404 is divided by 922158.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 - 1)*(1 + 0 - 3) - 4 - 2 - 1)*(21*j**2 + j**2 + 29*j**2 - 17*j**2) in the form z*j + q + y*j**2 and give y.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m - 3. Let w = 0.8 + -31. Let l = w - -30. What is the smallest value in -1\/4, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/174 and 73\/14?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 33 + 87. Is x equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q. Give a(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -o + 115, -4*o = -10*z + 6*z + 224. Calculate the remainder when 962 is divided by z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 64. Sort 4, -8, 2, z in descending order.\nAnswer: 4, 2, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - 3 + 3)*(-396 + 394 + 213) to v + c*m + o*m**2 and give o.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*w**2*y + 3*k*w**2 - 8*k*w*y**2 - 2*k + 30*w**2 + 3*y**3 wrt y?\nAnswer: -k*w**2 - 16*k*w*y + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18361 divided by -427?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -39818 + 46*l + 19912 + 441*l + 19906. Let q(z) = -4*z. Give k(q(h)).\nAnswer: -1948*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*h**3 + 468554*h**2 - 6*h - 1915016.\nAnswer: -348*h + 937108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -5 - (2 - 2 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 118*v - 140*v. Let -2*h + 4\/3*h**v + 2\/3 = 0. What is h?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1222534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3260*p + 78 = 3247*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/14 - 32*q**3\/21 + 13*q**2\/7 + 60*q\/7 + 201. Factor w(o).\nAnswer: 2*(o - 15)*(o - 2)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9315 by 5.\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let j(a) = -112 + 43 + 69 - 4*a + 18*a. Calculate i(j(m)).\nAnswer: -14*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40110386 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -20*m + 13. Let a be (m\/10)\/(-1) + 53\/2. What is the highest common factor of a and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 - 24*o**3 - 25*o**2\/2 - 359. What is the second derivative of x(i) wrt i?\nAnswer: 6*i - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 7011.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o**2 + o + 1. Let j(x) = -5*x**3 + 5*x**2 + 7*x + 6. Suppose -104 = -16*i - 8. Determine i*a(t) - j(t).\nAnswer: -t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1505, -1186, -867, -548, -229, 90?\n\"Answer: 319*g - 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d - 5. Let p(q) = 14*q + 12. Let n(k) = -12*h(k) - 5*p(k). Let t(u) = 18*u**2. Give n(t(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/451 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33453651 divided by -3.\nAnswer: -11151217","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181148070?\nAnswer: 2, 3, 5, 1187, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 9, m: 7, s: 1}. Give prob of sequence mc.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - t + 5*t + t**2 - 7*t to l*t**2 + g*t + h and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -6938 - 1492. Is k a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 2\/3*-3. Suppose 5*m - f - 75 = 0, -4*f + c = 2*m - 24. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -a17?\nAnswer: a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*x - 15336 = 2*x - 2090 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 12 = 4*r. Let z = r + 0. Put z, -4, 5 in increasing order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9485)\/10)\/(-7) - 2\/(-4). What is the highest common divisor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:01 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.6722 tonnes to kilograms.\nAnswer: 399672.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1655*o + 1302*o = 740*o + 143*o + 10370 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163821.57 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 - i + 2. Let q(y) be the third derivative of -y**5\/15 + y**4\/12 + 4*y**3\/3 - 535*y**2 + 2*y. What is 5*a(m) + q(m)?\nAnswer: m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1331*j + 1310*j + 63 = 0. Suppose -4*c + 5*w = -54, -j*c = 3*c + 5*w - 106. Suppose f + 48 = 3*f. Calculate the remainder when f is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122330044 (base 5) in base 9?\nAnswer: 1087447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2120220010001?\nAnswer: 2120220002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.3. Let k = 4460 - 4461. Which is the nearest to n? (a) -5 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 124 - -360594?\nAnswer: 360718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/42*1*8 + 7. Suppose -4*b = z - 23. Solve -b = d - p, 4*p - 2 = 18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18784861597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/19 + 31\/76. Let t = 289\/1794 - 1\/138. Let d = -7 - -12. What is the nearest to 2 in t, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 23 = -q, 0*m = -2*m + 2*q + 22. What is the common denominator of 67\/22 and 66\/4 - (-3 + m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 11*o - 18*o - 108, -o + 5*o - 8*d + 72 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 12. Let o = -1015 + 1013. Put -0.1, o, n in decreasing order.\nAnswer: -0.1, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136623 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 26. Let u be b(-10). Is -3*u\/(-12) + (-48)\/(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.62 - 0.02. Let i = -72115 - -72116. What is the closest to i in -3\/2, -4\/7, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvj when three letters picked without replacement from {u: 1, l: 1, v: 1, j: 1, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4221 divide 757454229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/10)\/(4\/2160). Let z = -250 - p. Solve j + 3*n = 16, z = 2*j + 4*n - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**8\/336 + b**7\/56 + b**6\/72 - b**5\/8 - b**3\/3 + 102*b - 116. Let t(v) be the third derivative of r(v). Factor t(z).\nAnswer: -5*z*(z - 3)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, c: 1, q: 2, s: 5, u: 2}. What is prob of picking 1 c and 2 s?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*i - 47*i - 65*i**2 in the form p*i + k + h*i**2 and give h.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8916.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 123?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -473*b**3*c - 2*b**3 - 2*b**2 + 584*c wrt b?\nAnswer: -2838*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {s: 2, k: 3, m: 15}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*y - 8. Suppose -10*c + 20 = -y*c. Determine l, given that 3*l - l**4 + 3*l**2 - c*l + 5*l**3 - 7*l**3 + 5*l - 4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55964 or 55942?\nAnswer: 55964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269840*d**3 + 3588*d**2 - 12*d - 2?\nAnswer: 1619040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-140)\/(-49))\/(-6*(-5)\/105) and 466?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w. Let g = 642832.94 + -642833. What is the second biggest value in -2\/9, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k - 36. Let i(a) = 25*a - 31. Let j(h) = 690*h - 830. Let c(r) = 110*i(r) - 4*j(r). Give -5*c(b) + 12*q(b).\nAnswer: 2*b + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070995300 rounded to the nearest one million?\nAnswer: 1071000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from vybzbzbzbzzzzbzbybz.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 40 = 13*r, 3*w + 6*r + 8 = 16*r - 15*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 8*i - 4. Let c = 81 + -86.3. Let t = c - -5.6. What is the fourth smallest value in 6, t, -1\/5, i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 40 = -4*t. Let l be t\/52 + (-724)\/(-26). Is 9 a factor of 6\/(4 + -7) + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 5 (b) -0.044 (c) 80 (d) 0 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.001 - -35. What is r rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1265*d - 16470. Determine z(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000328531852 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 19*w**2 - 5*w + 2. What are the prime factors of x(-19)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 (base 13) in base 6?\nAnswer: -4411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4. Suppose 3*k - 2782 + 703 = b. Let u = -2793 + k. What is u rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -426 divided by 2\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -221\/4 + 55. Let o be (6 + -3 + -2)\/1. Let l be 10\/(-3) - (o + -4). Which is the nearest to x? (a) l (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Let k(m) = -9*m**v + 15*m**2 - 7*m**2. Let f(n) = -2*n. Determine k(f(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*h - 2*f + 7*f, 4*h - 13 = -f. Solve -h*a = -5*g - 4, 2*g + 0*g - 10 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -8, 0.27.\nAnswer: -8, 0.27, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 5*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-34))\/2 - (-2211305)\/3145. Which is smaller: y or 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489.496ml to litres.\nAnswer: 0.489496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 74*r**2 - 2*r + 2. Calculate j(2).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:55 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**(5\/3)\/o)\/o))\/(o\/(o*((o*(o*o\/(o*(o*(o*o**(-7)*o)\/o)\/o))\/o*o)\/o*o)\/o))*o*o*o**6*o*o*o**3\/o assuming o is positive.\nAnswer: o**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 7717*u**2 + 3858*u**2 + 3854*u**2.\nAnswer: -7*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -592 + 593. Is c < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p. Let w = -17\/8 + 55\/24. Let y(o) be the second derivative of -w*o**3 + 0 + 0*o**2 + o. Give y(k(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c + 5*c - 4*c)*(-2 + 3 + 1) - 2 - c + 13 + 8)*(-8*c + 8*c - 25*c**3).\nAnswer: -25*c**4 - 475*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12402000 (base 7) to base 4.\nAnswer: -10103011203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -22.7. Let x = z + 1.700138. Round x to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*g + 11, -5*j = -4*g - 6 - 11. Let z(v) = 5*v**2 + 2 + 2 - 5. Let f be z(j). Solve 0*p + f = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 3 (c) -150\/11 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 15 - 45 - 57 - 4*i + 227.\nAnswer: -4*i + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49914 and 15944750.\nAnswer: 5546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nurn when four letters picked without replacement from rruuunuunruuruurr?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - 0*f. Suppose -3*z - f*z + 20 = 0. Suppose 4*k = 5*k - z. What is the greatest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 3*w)*(60 - 77 + 255 + 127) + (1 + 4 - 3)*(5*w - 2*w - w).\nAnswer: 369*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50541 (base 7) to base 4\nAnswer: 2333313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 + (-52)\/(-16). Suppose -2*i + 21 = v*d, -3*d = d - 20. Let a = i + 2. What is the greatest common divisor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -92, -95, -114, -155?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 3, 1, -18, 585 in increasing order.\nAnswer: -18, -15, -2, 1, 3, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 55*g + 9. Is u(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -205058.3156 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**5\/10 - 11*c**4\/10 - c**3\/2 + 3*c**2\/2 + 4*c\/5 - 2\/5 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 335*l + 42. Let d(m) = -684*m - 77. Let h(s) = 6*d(s) + 11*n(s). Let f(o) = o**2. What is f(h(r))?\nAnswer: 175561*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i = 8. Suppose 0 = b - i*b + 30. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 88. What is the greatest common factor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -16*c - 4*c - 70 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -117. Let h be (-572)\/12 + 2\/(-6). Let n = w + h. Which is the biggest value? (a) 4 (b) -1\/2 (c) -3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 20. Let x(z) = -2*z + 16. Let g be x(5). Let b = k + g. Calculate the lowest common multiple of b and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -15480.2537 to the nearest 10.\nAnswer: -15480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080164.\nAnswer: 2, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 11:43 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155137778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -5, -0.1, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*f - 7 + 4, -3*c = -5*f - 19. Suppose -4*z - 30 = -3*z + c*k, -5*z - 108 = k. Is (-2)\/7 - 8301\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -21*l + 2657. Let q be t(128). Let r(f) = f + 59. Calculate r(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f - 3*f - 20 + 6*f. Let t be j(-4). Factor 0*k**2 + 0*k + t + 1\/2*k**4 - 1\/4*k**5 - 1\/4*k**3.\nAnswer: -k**3*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + -2 + 3 - (-1 + sqrt(20) + -5)) + 2)**2 + 5.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 plus -178966143?\nAnswer: -178966141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -z - z - 8, -2*a = -z + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3 - 22412*m**2 + 62697474*m + 503015184 = 0. Calculate m.\nAnswer: -8, 5607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-2*j**5 + 2*j**5 - j**5) - j**5 - 2*j**4 + 2*j**4 + 0*j**4 + j**5 + 0*j**4 + (7*j**3 + 11 - 11)*(3*j**2 - 6*j**2 + j**2).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -5*x**7\/21 + 9*x**5\/20 - 101*x**4\/12 - 135*x - 6. Find the third derivative of d(c) wrt c.\nAnswer: -600*c**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**15\/x)**(-3\/10))**(2\/17) assuming x is positive.\nAnswer: x**(-48\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.393 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(27\/45)\/(6\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181 * -28.\nAnswer: 5068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/991529 and -61\/56246736.\nAnswer: 618714096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44 * -8\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 452, 1863, 4234, 7565, 11856, 17107, 23318?\n\"Answer: 480*r**2 - 29*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1263 - -1272. Solve 5*k + z = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 592568 + -592450.00304. Let a = 118 - d. Round a to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26079 + 26066.9468. Round b to 1 decimal place.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -h + 4861 - 4859, 0 = 3*h - 2*l + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -188\/105897 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 701 + 6233*r**2 + 6721*r**2 - 703 to the form w*r + a*r**2 + o and give a.\nAnswer: 12954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*v + 639 = v, -463 = -3*m - v. Let f = 293 - m. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/60 + r**6\/8 + 3*r**5\/10 + r**4\/6 + 6*r**2. Factor s(j).\nAnswer: j*(j + 2)**2*(7*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 16938095?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -21 (c) 3\/8 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 379381?\nAnswer: -11\/379381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59, -87, -119, -155, -195, -239, -287?\n\"Answer: -2*t**2 - 22*t - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/25 + 146\/10. Suppose m = 2 + a. List the prime factors of m\/2 - (5 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -52*a**3 - 14*a**2 + 169*a + 611. What is t(-3)?\nAnswer: 1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -579*a + 581*a - 10, -61 = -8*j + 3*a for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 76565 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 15 = 6*p. Let b(k) = -2*k**2 - 23*k - 58. Let n be b(-5). Which is greater: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 13 + 18*b**2 + 14*b**2 + 41*b**2 - 44*b**2 + 12*b**2 as m*b + a*b**2 + d and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = g - 250, -3*g + 11*w = 6*w - 665. What is the lowest common multiple of g and 2?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -383.05 + 383. What is the closest to g in -0.3, 0.5, 2, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cryz when four letters picked without replacement from {p: 2, c: 2, r: 3, y: 6, z: 1}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14744 or -29489\/2?\nAnswer: -29489\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(176))**2 - (-1*(sqrt(176) + 1 - sqrt(176)))**2 - (-6*(0 + sqrt(176)) + 3*sqrt(176)*2).\nAnswer: 17599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*j + 13 = -41, -4*z - j + 117 = 0. Find the first derivative of 84 - z*q - 45*q - 82*q + 312*q wrt q.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 50236.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 39\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**2\/2 - 1043*o. Let b(u) = 4*u - 1. Let k be 9\/(-7) + 4\/14. Calculate k*b(a) - 2*n(a).\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 1, y: 1, r: 1, s: 1}. Give prob of sequence ssj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Let g = p - -10. Let t(s) = s**2 + 2*s + 16. Let b be t(-8). What is the greatest common factor of g and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 24 = 2. Suppose 0 = -3*b + n + 4. Solve 3*i + 3*u - 29 = 7*i, -2*u + 31 = -b*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713205897 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 319 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m + 4. Suppose -138 = c - 137. Let z be q(c). Which is smaller: z or 35\/3?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -4, -547, 4 in descending order.\nAnswer: 7, 4, -1, -4, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4518599968 to the power of 1\/2, to the nearest integer?\nAnswer: 67221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t - 26*t + 192384 = 0. What are the prime factors of t?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33453 divided by -413?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45*(7 + 156\/(-30)). Solve -x = -124*i + 97*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-2))\/((-2)\/(-4)). Let n(r) be the third derivative of r**5\/60 - r**4\/3 + 3*r**3\/2 + 338*r**2. Calculate n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2018 + -2063. What is the second smallest value in 0, 2\/11, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1183*a**2. Let t(m) = m**2. Determine n(t(v)).\nAnswer: -1183*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -26 - 45 - -25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvkvmn. What is prob of sequence mkn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 47*s**7\/5040 - s**6\/40 - 11*s**5\/60 + 24*s**2. Let g(i) be the third derivative of q(i). Is g(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f. Suppose -2*u = -5*x + 3, 2*u - u + 3*x - 26 = f. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22233 - -103332?\nAnswer: 132231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**7 + 0*m**5 + 0*m**2 - 5\/14*m**8 - 1\/4*m**4 + 0*m**6 + 1\/6*m**3 - 2*m - 10. Find the third derivative of s(l) wrt l.\nAnswer: -2400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(1539) + 0)**2*-2.\nAnswer: -324*sqrt(19) + 9288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 286231525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 9. What is the remainder when 74 is divided by v(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:06 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 7*g - 3903, -3*g - 3*p + 1677 = -6*p. Calculate the lowest common multiple of g and 102.\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 times 3?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let n(s) be the third derivative of s**5\/20 - 2*s**2. Determine f(n(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**7\/210 - n**4\/4 + 7*n**3\/6 + 11*n. Let k(x) be the second derivative of l(x). Find the first derivative of k(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1557005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/6 - s**2\/2 + 2*s + 2. Let d(g) be the first derivative of m(g). What is the first derivative of d(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -209, -299, -373, -425, -449, -439, -389?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffhfffhhf. Give prob of sequence hfh.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + (16 - (-10 + 14))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3710.\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108153?\nAnswer: 3, 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.17 + -2.3. Let i = n - -0.03. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10406121181 + 2.815\nAnswer: -10406121178.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 3*q - q + (-62 + 17 - 91)*(-5*q + 3*q + q) as z + x*q and give x.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297010 is divided by 318.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h. Let j(o) = -o**3 - 6*o**2 - 2*o - 8. Let q be j(-6). Let p be ((q - -2)\/(-18))\/(1\/(-15)). Solve 20 = -p*t - h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (51\/(-34))\/((-6)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/(1\/(-15)). Suppose 1302 + 282 = 4*z. Suppose z = 4*q - p, 2*q - 314 = -q + y*p. What is the greatest common divisor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = 0, 4*a + 4*j + 111 - 127 = 0. Solve a*s - 3*w + 6 = 0, s = -s + 2*w - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s**2 - 12*s**2 + 15*s**2)*(2*s + 0*s - 3*s + (-2 + 3 + 0)*(-s + 3*s + 0*s)).\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = -6*l + 422. Suppose 0 = -2*m + 4, 3*r - l = 7*r + 3*m. Put r, 4, 5, -3 in increasing order.\nAnswer: r, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pddddldfpdddfddddj. What is prob of sequence pfd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2010454 (base 6) to base 16\nAnswer: 17242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 274720.17 from 0.1847.\nAnswer: -274719.9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 51405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25236 divided by 3?\nAnswer: 8412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l**2*m*p*w**2 - 80*l**2*m*w**2 - 5716*l**2*p*w**2 with respect to m.\nAnswer: -9*l**2*p*w**2 - 80*l**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5861089km?\nAnswer: 586108900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 11*n**4\/24 + 31*n**3\/3 + 84*n**2. Let i be v(-6). Sort i, -1, -0.42.\nAnswer: i, -1, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 33790 - d**3 - 44*d**2 + 67582 - 33793 + 5*d as x + n*d**2 + w*d**4 + f*d + r*d**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/38*564\/(-423)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -30*a + 22. Let x be r(0). Let p be -1 + (-2 + 0)\/(-2). Suppose -30*l + 31*l - x = p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.7 + -3?\nAnswer: 69.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28756276 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.56\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/2 + 321*a**3 + 2664*a**2.\nAnswer: -3*a**2*(a - 222)*(a + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 21, -1, 0, -2 in ascending order.\nAnswer: -2, -1, 0, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 574091.2um?\nAnswer: 0.0005740912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-72))\/((-15)\/(-27)) + (-5 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 27 = 4*t - 32 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 3*r - 2. Let z be (-1)\/(-1*3\/6). Let m be f(z). Suppose m = -4*y + 9 - 1. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -3, 0, -43.\nAnswer: -43, -3, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98877461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 12 (b) 2 (c) 1\/9 (d) 21 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -49609*c - 148833. Determine r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65559*p + 1211020 wrt p?\nAnswer: 65559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 5*g + 50. Determine s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + 2*o + 2. Let r be a(1). Let h(z) = 7*z - 59. Let b be h(r). Solve 0 = m, b*m = -2*s + s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 279*l - 836. Let k be m(3). Let j(v) = -v**3 - v**2 - v. Let f(s) = 4*s**3 + 4*s**2 + 3*s. Determine k*f(a) + 3*j(a).\nAnswer: a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 25*p. Let n(m) = -1870*m + 3768*m - 1844*m. Calculate t(n(y)).\nAnswer: 1350*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9*u**(-2\/9)*u)**(-2\/11) assuming u is positive.\nAnswer: u**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1. Let i(y) = 14*y - 4. Let p(r) = i(r) + z(r). Is p(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 38 + 42. Solve u = y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/365024 and 49\/436628.\nAnswer: 2343819104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, 91, 395, 915, 1705?\nAnswer: 2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10976 - 6976 = -561*o for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-30))\/(3\/(-10)). Find the second derivative of -2*h - 2*h**4 + 0*h**g - h wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -19. Suppose v - j = -v. Suppose o - z - 13 = -o, 36 = v*o + z. What is the remainder when 20 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9*f = 6*f - 546138. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-33)\/(-1 + -2). Let z(m) = -2*m + 8*m - a*m. Let u be z(-1). Solve -3*r - 5*k = 40, 25 = -u*k + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -35*c**2 + 22*c - 4. Let s(l) = 36*l**2 - 13*l + 3. Determine 2*o(b) + 3*s(b).\nAnswer: 38*b**2 + 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27888, -55729, -83494, -111141, -138628?\n\"Answer: 7*l**3 - 4*l**2 - 27878*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1 = 2*v - 19, -5*v + 20 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3984, 2, -3, -4, 1, -6 in decreasing order.\nAnswer: 2, 1, -3, -4, -6, -3984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1132, 4496, 10094, 17926, 27992, 40292?\n\"Answer: 1117*o**2 + 13*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 60 = t. Let o be (-3)\/(t\/(-16)) - -38. Suppose o = 3*m - 2*d + d, 68 = 5*m + 4*d. Solve -2*p + j = 2*j - 4, 4*p + 3*j = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.6484 rounded to one dp?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 11*i + 48 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) 2\/7 (c) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j - 361*j - 857*j to u + c*j and give c.\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/8 - 4605*h**2\/2 - 9652350*h + 60405165000.\nAnswer: 3*(h - 5620)**2*(h + 5100)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 22. Suppose s*w - 30 = -6*w. Solve w*v = -2*d - 2, 0*d + 3*v = 4*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 24. What is y(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*x = 5*p, 0 = -2*x + p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 6*h - 7. Let t be l(-7). Suppose 2*b - 5 - 1 = t. What is the common denominator of (-1)\/b + 256\/30 and 37\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/((-261)\/(-580)*-52)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 1. Suppose c - 4*x + 6 = -0*c, -2*x + 6 = c. Let h be k(c). Let j be (3 - 1) + h + -7. Solve 4*n + n + 15 = j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.407 and 200.\nAnswer: 81.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -288730*r. Let f(o) = -245*o**2. Give m(f(j)).\nAnswer: 70738850*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 1. Let l(n) be the third derivative of 7*n**6\/60 - 2*n**3\/3 - 14*n**2. Determine 8*h(c) - 3*l(c).\nAnswer: -2*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(-2)\/8 + (-2415)\/(-35) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 176, -942, 11, -4.\nAnswer: -942, -4, 2, 5, 11, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 163, 225, 309, 421, 567?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i - 242*i = 3132 - 172 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -26 + 47 + -37.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -47916\/5 at least -9582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 244517378 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2225293 or 2225294?\nAnswer: 2225293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 9 = 0. Find the second derivative of -t*j + 12*j + 1 - 1 - 4*j**4 wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oadadiiiaaia. Give prob of sequence iio.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-3)\/(-6))\/(6\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 9. Let q be o(-4). Let i be q\/(-14) + -2 - (-6)\/(-8). Let r be (-1 + 0)*2\/6. What is the nearest to -1 in i, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 374*l**2 + 1075*l - 14103. What is o(-371)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1495*a + 10028 + 33327 = 0 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/4 + 5*r**3 + 41*r**2\/2 - 3*r + 6. What are the prime factors of x(17)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -3 - 13970\/16. Let y = i + 1725\/2. Let g = -249593\/14 + 17821. Calculate the common denominator of y and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 take away 0.7601?\nAnswer: -170.7601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3003 and 12883416?\nAnswer: 141717576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 19661*s + 19663*s = 92, -4*s - 26 = -i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 1897?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/369 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -227*l**4\/12 - 105*l**3 - 697*l**2. Differentiate z(h) with respect to h.\nAnswer: -454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/x)**(-15) assuming x is positive.\nAnswer: x**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584212?\nAnswer: 2, 7, 29, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + g**4 + 2*g**4 + 4*g**4 - 2*g**4 - g**4 + (-g + 1 - 1)*(0 + 0 - 2*g**3) - 76*g**4 + 163*g**4 + 70*g**4 + 1 - 1 - 2*g**4.\nAnswer: 160*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*n - 337*n + 5*j = -120*n - 4, 10*n + 5*j = 100 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4508 and 11.\nAnswer: -4497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-16))\/((-1412)\/1320). Let h = 1\/353 - f. What is the second biggest value in h, -1\/2, 0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 48*m - 38. Let x(k) = 49*k - 40. Let f(g) = 3*c(g) - 2*x(g). Is 19 a factor of f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-210)\/24))\/(2\/3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.207382km in micrometers?\nAnswer: 207382000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221200122 (base 3) in base 16?\nAnswer: -17cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*g + 12*g - 11*g)*(0*g - g + 3*g) + ((-3*g + 4*g + g)*(1 - 1 + g) - 385*g + 385*g + 183*g**2)*(2 - 6 + 3) to the form v + j*g**2 + r*g and give j.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-90)*15*3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143068249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 0. Let x = -236 - -706\/3. Which is the closest to 1\/4? (a) -5 (b) l (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -7*w**2\/2 + w - 19. Determine k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3852\/(-63))\/((-14)\/49))\/(124\/62).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 531 - 531.1029. Let q = 0.05 - -0.06. Let d = w + q. What is d rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 6*u + 4. Let j be g(-4). Suppose -5*d + 5*q = -19590, 4 = 10*q - 12*q. Suppose -j*i + d = -12152. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 5, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.1 + 57. Let f = 14 + -10. Suppose -p - p + 5*a = 58, -f*p - 72 = a. Put y, p, 1 in decreasing order.\nAnswer: 1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(891) - (sqrt(891)*2*-6 + sqrt(891)))**2 + (sqrt(891)*-1 - sqrt(891))**2 + sqrt(891) + 0).\nAnswer: 9*sqrt(11) + 131868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18912 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2061*o**3 - 1914.\nAnswer: 6183*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6591, 6587, 6583, 6579, 6575?\n\"Answer: -4*l + 6595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 5:08 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.31 - -3.11. Which is greater: g or -1.27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 491 = 323 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -765 + 765. Let s = -233 - -237. Suppose 4*r + 2 = -2. Put s, 5, r, k in decreasing order.\nAnswer: 5, s, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-354)\/472)\/((-2)\/((-480)\/(-18))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by -27456\nAnswer: -75\/4576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) + 2 + sqrt(13))*-3)**2.\nAnswer: 648*sqrt(13) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**23)\/l)\/l**(-24))\/(l\/l**(1\/16))**(3\/11) assuming l is positive.\nAnswer: l**(8227\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 386 divided by 193\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(65\/10) - (4 - 3). Sort w, 4, -8.\nAnswer: -8, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyhbiiiihbbhh. Give prob of sequence iybb.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5018238 divided by 557582\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*t - 0*t. Suppose 4*z + c - t = 0, 4*c + 6 = z - c. Calculate the smallest common multiple of 4\/3*6\/4 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -830 and -828 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-8 - (-6 - 2 - -5) - -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1400000 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1 - 0\/1. Let h = -1 - 9. Let g be (4\/(-2))\/(-3 - h). What is the closest to g in -2\/5, 0, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.9368 + 0.0368. Let x = s - -33. Which is the third smallest value? (a) 2\/15 (b) 1\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 909 - 789. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2369.5427 to the nearest 10.\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 997 = 4*c + 11*a, -2*c + 4*a + 494 = 0. Calculate the remainder when 1255 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -2. Let n = 0.5147 + 4.4853. Which is the closest to 2\/7? (a) 1 (b) f (c) n (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 4*y - 20. Let u be (y\/(-6))\/(2\/3). Let k be (-2)\/4*u*-108. Calculate the highest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.58 greater than -25\/124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkgg when four letters picked without replacement from rgkrrkggrgkrrrkgkr?\nAnswer: 5\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 701622.81 minutes?\nAnswer: 487.2380625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 7:13 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1310\/2096)\/((-4)\/(-16))*(-1)\/(-165)?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.4 (b) -0.7 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 4*u**2 - 4*u - 4. Let c be q(-2). Is -93*28\/(-12) - c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 - 918*n**2 + 44830*n + 1224. Determine p(245).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -469?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -96*0.86\nAnswer: -82.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 181.07. Round v to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -222, -275, -348, -441, -554, -687?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1137\/351 - -6 - 3\/1. Let p = f + -84\/13. Which is the second biggest value? (a) p (b) -1\/9 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9422, -9564, -9800, -10130?\nAnswer: -10554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -5*n**4\/24 - 5*n**3\/2 + 5*n**2 + 5*n. Is q(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -268 + 303. Calculate the lowest common multiple of s and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95 in -2\/5, -0.02, -349, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i + 325*i**2 + 19 - 648*i**2 + 325*i**2. Is a(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 5*j**2 + 9*j - 12. Let f be l(6). Suppose -f = -10*m + 7*m. Let 0*p + 0*p**3 + 1\/2*p**4 - 1\/2*p**m + 0 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 885480 + 881?\nAnswer: 886471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 6124 = -3058 + 12994. What is the remainder when o is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 7*t**4 + (4 + t**2 - 4)*(-3*t**2 - 2*t**2 + 4*t**2) + 0*t + 0*t - 2*t**4 - 2*t**3 + 2*t**3 - 2*t**4.\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 67895 = 3*w, 3*j - 2*w - 106448 + 4625 = 0. List the prime factors of j.\nAnswer: 7, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83315\/7 + -11900. Factor -9\/7 - j**2 + 1\/7*j**3 + g*j.\nAnswer: (j - 3)**2*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7 = -22. Suppose h = q + 2*t, -t + 0 = -5. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -27. Let c(i) = i. Let j(r) = -4*r. Let s(l) = d*c(l) - 4*j(l). Let m(a) = -3. Let x(w) = -w - 2. Let f(g) = 2*m(g) - 3*x(g). What is f(s(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 9*v**2 - 17*v + 21. What is the units digit of p(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 8*u**2 - 7*u - 4. Let b(z) = -z**2 + 22*z - 40. Let j be b(19). Suppose j*g = -4*g - 147. Calculate i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 46. Calculate the remainder when (1\/(-3))\/(-2 + 874\/438) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3, 0*a + 3*w = 2*a - 15. Solve -4*v = -a*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/45)\/2*(-2646)\/(-84).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52138 divided by 26?\nAnswer: 26069\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-3) - 3\/(-9). Suppose -5*y - x = -35, -13 = v*y - x - 4*x. What is the third derivative of o**y + o**2 - o**6 + 3*o**6 wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 1465, 2244?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 8*k + 3. Let z(c) = -3*c + 12 - 8 - c**2 - 3. Let o = -12 - -4. Give o*z(a) + 3*f(a).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1659722\nAnswer: 4979166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + o - 25 = -2*d, -2*d - 3*o = 3. Suppose -d = 4*k - k. Let m = k - -4. Solve 22 = -3*f + 4*z, 16 = m*z + 2*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 30 = -w. Let l be w\/6*4\/(-2). What is the second derivative of -3*a**3 + a - 4*a**2 - a**2 + l*a**2 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0*o**2 + 6 - 3*o**2 - 2 - o + o**3 + 8*o**2. Let c be r(-5). Suppose -2*u + 3 = -c. What is the remainder when 47 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51622 - 15a8?\nAnswer: -5311a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 196140105 times 3?\nAnswer: 588420315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1035 + 1040.03. Let j = o - 0.03. Is 0.2 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 59 = -3*p. Let d = 97 + p. Let i(u) = 6*u + 67. Calculate the remainder when d is divided by i(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47063438, 94126875, 141190312?\n\"Answer: 47063437*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -66\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*j + 277 + 116, 0 = 4*k + 4. Suppose 30393 = -70*c + j*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 + 13*j + 31. Let o be q(-2). Sort 0, 4, o, -3 in descending order.\nAnswer: 4, o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -558, -3, 1 in descending order.\nAnswer: 1, -3, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -1 - (sqrt(1088) + 1)**2.\nAnswer: -1090 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -12513.\nAnswer: -9\/4171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -12353 and 51.6977.\nAnswer: -12301.3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.001439 from 424496.\nAnswer: 424496.001439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19740 - 7?\nAnswer: -19747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from {u: 4, v: 14}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - -0.2. Suppose -i = b + 4, b + b - 12 = 3*i. Sort 1\/12, m, i in decreasing order.\nAnswer: 1\/12, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6500 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b. Let m(c) = c**2 - 10*c + 7. Let a be m(6). Let v(k) = 3*k + 2. Let p(f) = 1. Let h(w) = 2*p(w) - v(w). What is a*h(o) - 6*l(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 6.\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 105505*z + 2742454.\nAnswer: (z - 105479)*(z - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 4*j. Let a(y) = 4*y. Let i(s) = -s**2 + 7*s. Let h(b) = 9*a(b) - 4*i(b). Let f(z) = -5*c(z) + 2*h(z). Give f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 18160*s**2 + 512545*s - 530700.\nAnswer: -5*(s - 3660)*(s - 1)*(s + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/160 and -51\/220.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((2 - -2 - 5) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 + 0*h**2)*(-8*h - 84*h - 178*h).\nAnswer: -270*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214329*o*z**4 + 68997*o*z**2 wrt z?\nAnswer: -5143896*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/174)\/(66\/(-1276)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53497 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1149986 and 117.6.\nAnswer: -13.52383536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 19995725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w. Let s(u) = 51 + 47 + 120*u - 98. Determine t(s(y)).\nAnswer: -360*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 79\/2 of a hour?\nAnswer: 2370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4 - h + 2*h + 12*h**2 + 4. Let z be n(1). Find the second derivative of 10*v - z*v - 3*v**5 + 0*v**5 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:32 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:58 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from xoxxoooxxxxxoxooooxo?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, 173, -2, 4, 2 in ascending order.\nAnswer: -2, 2, 4, 5, 16, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/z**(4\/3))))**(1\/4) assuming z is positive.\nAnswer: z**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -46*r**3 - r**2 + 1. Let d be -2 - 10\/10*-1. Determine a(d).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2243211380 and 4045?\nAnswer: 4045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003529418 to 5 decimal places.\nAnswer: -0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -286. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = -4*n - 6717. Let j be (-1 - -4)*n\/(-6). Suppose 9*s - 4*z = 4*s + j, -4*s - 3*z = -695. Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 0 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*v - 0*v - 8, -2*v + 28 = 5*p. Let m be (-1 + -10*p\/(-15))*1. Solve 17 = -m*b - 4*z, -b - 4*z = b + 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from innnntkninkninnci. What is prob of sequence nni?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6 + (-114)\/(-4). Solve -4*k + 10 = w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 11*i**3\/3 + 5*i**2\/2 + 2*i - 8. What is the tens digit of m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14219221107 + -22.\nAnswer: -22.14219221107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 248*h + 0 + 2 - 840*h - 2. Let v(g) = -g**2. What is v(x(r))?\nAnswer: -350464*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 361*h. Let j(i) = -350*i - 349*i - 343*i + 1379*i - 343*i. What is q(j(w))?\nAnswer: -2166*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)**(1\/18)*(r*r**0)**(-8\/9))\/(r**6*r*(r**(-1\/3)*r)\/r)**(-1\/2) assuming r is positive.\nAnswer: r**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102669, 205321, 307963, 410595, 513217, 615829, 718431?\nAnswer: 821023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265096977 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: Suppose -4*s - 3*n = -12, 74*s = 71*s + 5*n - 49. What is the closest to s in 5, -2\/5, 2\/197?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/((y*y**(-3\/16))\/y*y))\/y)\/y*y**2)\/(y**(-10)*y**(-5)))**(-35) assuming y is positive.\nAnswer: y**(-8505\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141979185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in -2, -30, -2\/7, 3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a**2*b*w**2 - 13732*a**2*b + 5135*a*b*w**2 - a*w**2 + b*w**2 + 4*w**2 wrt a?\nAnswer: -20*b*w**2 - 27464*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2555\/18 + 142. Let k(a) be the second derivative of a + 0 + 0*a**2 - 1\/9*a**3 + l*a**4. Factor k(t).\nAnswer: 2*t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s. Let a(g) = -g. Suppose 4*p + 12 = -5*d, d + p = 6*d + 22. Let j be a(d). What is the units digit of l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 229064?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:01 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-16)*(-16 + (-74)\/(-5)). Factor 33\/4*c + 9\/2*c**2 + 9\/2 + i*c**3.\nAnswer: 3*(c + 1)*(c + 2)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -115, -118, -123, -130, -139?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*f + 4*f**2 - 2*f**2 + 1 - 294*f.\nAnswer: 2*f**2 - 453*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h + 4. Let x(t) = 48*t**2 + 280*t - 2. Give q(x(g)).\nAnswer: 288*g**2 + 1680*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*h**2 + 125 - 125)*(16 - h - 14*h**2 - 16).\nAnswer: 434*h**4 + 31*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a)**(1\/75)*((a*a**(8\/7))\/a)\/(a*a**(4\/11)))**(-26) assuming a is positive.\nAnswer: a**(8632\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 6. Let o(x) = -1. Let r be (-9)\/6*15\/(-90)*-4. Determine r*u(y) + 6*o(y).\nAnswer: y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 11*s - 12. What is h(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 4, v: 6}. What is prob of sequence rvrv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 25*p**4\/24 + p**3\/6 + 3*p**2 - 114. Let n(i) = -i**2. Calculate n(j(q)).\nAnswer: -625*q**2 - 50*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 472 = -447. Let c(v) be the third derivative of 0 + 0*v + 1\/270*v**q + 2\/27*v**4 + 6*v**2 + 16\/27*v**3. Factor c(g).\nAnswer: 2*(g + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13\/4, -567, -0.19, -5?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Find the first derivative of 4 + 1 + 1 + 2*j**4 - v*j**4 wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(252) + -1 + -2 + -3 + -1*sqrt(7)*-4*2)**2.\nAnswer: -240*sqrt(7) + 2840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 8:07 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/(6\/(-36)). Suppose 0 = -3*k + 5*g + 14, -2*k - d*g - 2 - 14 = 0. Suppose -v - 5 = -0*v. Put k, v, 3 in increasing order.\nAnswer: v, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 6*l**2 + 7*l. Let v be q(-7). Suppose 4*o - 9*o + 30 = v. Let n be (-5)\/((-15)\/o) + 728. What is n rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 - 11*v**2 + v**3 - 3*v**2 + 3 + 0*v**2. Let u be z(8). Suppose 5*s + u*t - 753 = t, -5*s + 2*t = -737. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 m when three letters picked without replacement from {w: 4, m: 1, x: 5, o: 2, n: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -88.6 * -9840\nAnswer: 871824","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 3*x**2 - 4*x**2)*(4*x - 3*x + 13*x) + (3*x**2 + x**3 - 3*x**2)*(-2 - 2 + 5).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2841\/7 - -11359\/28. Sort 0, -0.5, w in ascending order.\nAnswer: -0.5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 4*b - 2. Let c be o(-4). Let f = 3.452 + -0.052. Let g = -7.4 + f. What is the third smallest value in g, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5878, 11742, 17606, 23470?\nAnswer: 29334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 13) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002687028 rounded to six dps?\nAnswer: 0.002687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7114185 divided by -117.\nAnswer: 60805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30314479 and 223935.\nAnswer: 30538414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 639020 and 1.8?\nAnswer: 639018.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 5*r**4\/12 + r**2. Suppose -12*k + 23 = 11. Determine d(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*g + 96 = 184*g. Let t(r) = -4*r - 5. Let d be t(-5). Let o be g\/9*(d + -6). Solve -5*b = 4*j - o, -2*b = -3*j + j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5770 = -9*m. List the prime factors of 6\/(-24) + m\/(-8)*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u**0*u)\/u)**9\/(u\/(u\/(u*u**(2\/7)\/u)))**(-3))**(-31))**(3\/26) assuming u is positive.\nAnswer: u**(-6417\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 409\/114 + 11\/19. Let o(g) be the second derivative of -7\/4*g**5 - 1\/3*g**6 + 0 - w*g**3 + 19*g - 5\/2*g**2 - 15\/4*g**4. Suppose o(l) = 0. Calculate l.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from aiizciaiiicciaicci?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324907635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -550905300 to the nearest one million.\nAnswer: -551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.42 - 0.08. Sort 0.1, -2\/11, b in decreasing order.\nAnswer: 0.1, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719362.1 millennia to decades.\nAnswer: 71936210","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 - 0) + -3)\/(-1). Suppose -4 = -2*k, 6 + 39 = 5*l - v*k. Let g = 5 + 6. Calculate the smallest common multiple of g and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 6*o - 8. Let n be t(-4). What is n rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 3*q + 18, 5*q + 37 = 2*r. Suppose 0 = 3*t - 0*t + 3, 3*z - 3*t - r = 0. Let u be (-1)\/(4 + -3) + z. Put -3, u, 2 in ascending order.\nAnswer: -3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -87*q + 6. Let a(j) = -11570*j + 801. Give -2*a(p) + 267*z(p).\nAnswer: -89*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 4*j + 6. Find the third derivative of -8*u**j + 11*u**3 - 6*u**3 - 5*u**3 + 8*u**5 wrt u.\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*f**3 - 10186*f*q**2 + 23*q**2 + 37*q - 39 with respect to f.\nAnswer: -84*f**2 - 10186*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(11\/2)\/(o*o**(7\/6)) assuming o is positive.\nAnswer: o**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 + (5 - 5 - (2 - -1)) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 7 - 9 = -r, -3*u + 35 = -5*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*t + 13 + 1 - 16*t**2 - 14 wrt t?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-35)\/(-56))*736\/(-138).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-147)\/(-28))*(-1)\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-208))\/(5\/65).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 1850.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.855105 minutes?\nAnswer: 291306300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26131 (base 9) to base 8.\nAnswer: 42305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 - 7.6. What is the smallest value in -1\/3, -7\/2, t?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/30 and 7\/1167798?\nAnswer: 5838990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38147426*y**2 + 10087677*y wrt y?\nAnswer: 76294852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 720, 675, 620, 555?\n\"Answer: -5*u**2 - 30*u + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(-12\/7)*z*z)\/z**(-14)*((z**27*z)\/z*z)\/z**(-27) assuming z is positive.\nAnswer: z**(506\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f - 113*f + 104*f.\nAnswer: -82*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/(-12) - (-33)\/(-198). Suppose g = 2*r - 4. Solve r*y + y + 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150.5 * 523.\nAnswer: -78711.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 17 - (-52 - (-29 + -17)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*s**2 + 222*s**2 + 194*s**2 - 5*s**2 - 82*s**2 + 82*s**2.\nAnswer: 529*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3675 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-447)\/(-9) + -5)*3. Suppose -136*g + 574 = -a*g. What is the remainder when g is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 1:03 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*k + 101*k + 110*k - 385)*(2*k**4 - 6*k**4 + 3*k**4).\nAnswer: -2*k**5 + 385*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 12:13 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1758*x - 27748 - 14444 = 0 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -36*w**4 - 80*w**3 + 108*w**2 + 312*w + 160 = 0.\nAnswer: -20\/9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-876)\/(-1460)*(-19110)\/(-126).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 576914, 576912, 576910?\n\"Answer: -2*p + 576916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 271*f**6\/10 - 436*f**2 + 3*f - 90. Differentiate i(q) wrt q.\nAnswer: 3252*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 1. Let g(w) = 229*w**2 - 3*w - 2. Calculate g(z) - 4*m(z).\nAnswer: 225*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitv when four letters picked without replacement from ivzvfioftifootito?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q - 28. Let f(l) = 1 + 7*l**2 + q*l**2 + l**2 + l. Let w be f(-1). Solve -3*a + 3*v = -w, 5*a - 4 = -2*v - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 17*v - 2. Calculate the remainder when 74 is divided by d(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuj when four letters picked without replacement from {j: 8, u: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d**2 - d + 7. Is i(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 3, f: 3, j: 4}. Give prob of picking 2 j, 1 t, and 1 c.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8. Calculate the common denominator of 406\/(-98) + 3 + l and 77\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007668 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4\/12 + 2*c + 4461. Let z(d) = -9*d**3 - 9*d**2. What is 36*i(y) + 4*z(y)?\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 3. Let r be j(5). Let w be -5*r*(-2)\/4. Solve -6 = 2*k, 2*k = w*q - k - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, -2, -19 in increasing order.\nAnswer: -19, -14, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 322\/28*(7 + -1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475544.14 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 31 = -14. Let s(w) = -30*w + 162. Let q be s(p). Solve q*b + 11 = -13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 156 + 246 - 75.\nAnswer: -x + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1 - 14*z + 3*z + 4 + 14*z + 50*z**2. Let c(t) = -t + 1. Let q(d) = 4*c(d) + x(d). What is the second derivative of q(y) wrt y?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 114450966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 626787 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -18*s. Does 23 divide (-1)\/((-4)\/276 + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 18*c**2 - 16*c + 17. Let o be t(-17). Suppose 4*q - 108 - 60 = o. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51875 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 18. What is the remainder when p is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*q = -350, -p + 3*p - 230 = -4*q. Calculate the remainder when p is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.20739 litres?\nAnswer: 8207.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9*v = 16. Let f(w) = w**2 - 4. Let y(p) = 2*p**2 - 5*p - 10. Let x(k) = -k**2 + 3*k + 5. Let g(b) = 5*x(b) + 3*y(b). Give v*g(q) - 5*f(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15)*i\/i**6)**(-2\/5) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(144))\/sqrt(180).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {m: 2, p: 4, c: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -153051?\nAnswer: 153049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1095 - -1117.56. Let m = -25.1 + c. Let q = m + 1.9. Round q to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocgs when four letters picked without replacement from lgscocscoc?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*o - 6 = 8, 0 = -2*f + 5*o - 6. Suppose 170 = -0*n - f*n. Let u = n - -119. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1100) + 1 - sqrt(1100))*-4 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750877949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68\/183 + 5933\/9150. What is the common denominator of u and -33\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 i when four letters picked without replacement from {i: 3, y: 17}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*o - 443*o + 79*o + 79632 = 0. Suppose -454 = -3*z + 4*l, 3*z - 2*l + 312 = 5*z. Calculate the lowest common multiple of z and o.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j - 107*j + 181 = y, j = -y - 41 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8234873, 8234928, 8234983?\n\"Answer: 55*r + 8234818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -324.0405 to zero decimal places.\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 4*k**2 + 2*k + 2. Let m be r(-3). Suppose -m = -x - 1. Suppose 25 = x*q + q - f, -4*q - 3*f = -1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.5 (c) 3\/12040 (d) -4059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*i - 76*i - 38*i**2 - 51*i**2 in the form m*i + r*i**2 + q and give r.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 19, 37, 73, 133?\n\"Answer: x**3 - x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101331223 - 1?\nAnswer: -101331230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, l: 1}. Give prob of sequence mlm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What are the prime factors of (14\/(-77))\/((-3)\/36597)?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) 0 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 1.022548.\nAnswer: -8.180384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 759 - 1525\/2. Which is the nearest to i? (a) -2\/23 (b) 2\/7 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 6737233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/27, 0.3, 0.4, -0.07, -4.43, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhhffvvvvfvm. Give prob of picking 1 h and 1 f.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = -23. Let y = 29\/57 + -1\/114. What is the closest to 0 in y, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82735951 to the nearest integer?\nAnswer: 9096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230123 + -1313012?\nAnswer: -2203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 13 + 5 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28770 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.006 + 1.006. Which is the third smallest value? (a) -0.4 (b) l (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 24. Let s = -12.7 + g. Let c = -3 - -2.5. What is the closest to 0 in s, c, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -7. Let k be q\/10 + -329*(-3)\/35. Suppose 4*b - 3*y + 2 = 34, b - 8 = -3*y. What is the highest common factor of b and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 2:42 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4389, 8772, 13153, 17532, 21909, 26284, 30657?\n\"Answer: -u**2 + 4386*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139552 is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 43*z = -660800. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 155.5263 months?\nAnswer: 1.2960525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 13*n**2 - 9*n**2 - 7*n**2.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -461121\nAnswer: 91\/461121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -435597*g - 2613793. Determine c(-6).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48766301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) -46 (c) 7.8 (d) 2\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 243343120?\nAnswer: 243343124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 272, 6, -1\/2, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.14, 3, -5, 0.5, -3 in increasing order.\nAnswer: -5, -3, -0.14, 2\/7, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96001 - -96000.999830454. What is c rounded to six decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 16\/9*h**3 - 4\/3*h + 1\/2*h**4 + 47 + h**2. Factor k(o).\nAnswer: 2*(o + 1)*(o + 2)*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1980)\/(-24))\/(-33)*68\/(-10). What is the greatest common divisor of q and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -471.94837?\nAnswer: -471.94837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uucdllddadfulccld. Give prob of picking 1 f, 1 u, and 1 a.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 51*o + 66*o.\nAnswer: 116*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*i + 776 = -766*i + 210*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -49*z**2 - 2*z**3 - 48*z**2 - 48*z**2 + 142*z**2. Let w be (-21)\/(-14)*4\/(-3). Determine n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.567 + 15.4. Let w = 0.16684 + o. What is w rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63672472 and -10454.\nAnswer: -63682926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + -8 + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265 - 234. What is the remainder when 112 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, -1, -9, -5 in descending order.\nAnswer: 23, -1, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17895 - 17894. Let r = 2 - 1. What is the nearest to r in -7, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6407 and 32035.\nAnswer: 32035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = 4*v + 22, -4*p + 56 = -4*v. Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2024.1 + 2004.962. Let m = s - -0.138. Which is the third smallest value? (a) m (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2. Let v(d) = -4*d - 1380. Determine v(s(n)).\nAnswer: -4*n**2 - 1380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 38*h - 643. Let t be b(51). Let q be ((-3)\/(-2))\/(6\/56). Let m = t + q. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208668 by 104334.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -24, -34, -44, -54?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*v + 10. Let w be (-5 - (-1 + v))*(-3)\/9. Solve 5*u = i + w, 0*u - 4*i = 3*u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0, -19, -1.3, -6, 2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 11.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 + -2 - 1) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793\/1038 - 12\/173. Let q be 0\/(-2) - (-4)\/(-2). Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4229 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 10 = 11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 483, 1948, 4383, 7782, 12139, 17448, 23703, 30898?\n\"Answer: -m**3 + 491*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-27)*f**(5\/3)*(f**(-2\/21)*f*f*f)\/f)**(-19) assuming f is positive.\nAnswer: f**(-4066\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193295 is divided by 193281?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1351, 4, -2 in decreasing order.\nAnswer: 4, -2, -1351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2. Let i be (-9527)\/196*-4 - (-3)\/(-7). Let n(v) = 0*v + 194 - 15*v**2 - i + v. What is c(n(j))?\nAnswer: -450*j**4 + 60*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2 - 0.2. Suppose 0 = 2*y + 2*p + 2, 7 - 26 = -5*y + p. Suppose -t + h - 2 = y, 3*t + 7 = h. Which is the nearest to 1? (a) 1\/2 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:31 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 - -290. Suppose 43*i - 52*i = -g. Solve i*v - 5 = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11255847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5\/4 + 381*n**4\/4 + 1125*n**3\/4 + 1119*n**2\/4 + 93*n.\nAnswer: 3*n*(n + 1)**3*(n + 124)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**5\/5 + 4*c**2 - c - 9. Let d(k) be the first derivative of f(k). Differentiate d(w) with respect to w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.35. Let r = 0.2 - t. Let m = -0.1 + r. Round m to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5) - 874\/690.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -4 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*n + q, n = 4*q + 23 - 19. What is the least common multiple of n and ((-1 - 1) + -2)*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67310, -67503, -67696, -67889?\n\"Answer: -193*u - 67117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2725, -5451, -8165, -10861, -13533, -16175, -18781?\n\"Answer: r**3 - 2733*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648 by -1.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 25167?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792843 (base 11) to base 6.\nAnswer: 43022151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*s - 115, 5*n + 5*s + 57 = -8. What are the prime factors of (n\/(-36))\/(1\/402)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 697564062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7.002 + -0.3474859736\nAnswer: -7.3494859736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - (-396)\/(-40)) + 2\/4. Let u = -2323\/5 + 462. Which is the third biggest value? (a) u (b) o (c) 3\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + (-17)\/(-4). Let k = 2 - q. Suppose 8*f - 2*f = -3*f + 179*f. Sort f, k, -5 in decreasing order.\nAnswer: f, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 72*q**2 + 21*q**2 + 60*q + 12*q**2 + 15*q**2.\nAnswer: -25*q**2 + 60*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 6:06 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-4)\/2))\/(186\/(-279))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-26 + -3 + 2). Suppose -m = -5*v - a, -v = 4*m + 2*v + 7. Suppose m*p - 5 + 1 = 0. What is the highest common divisor of 16 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121229 to three decimal places.\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*82)\/(0 + -1). Suppose 4*f + 112 = -2*p, 0*f - 2*p - 31 = f. Let g = f + b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -393\/17, -0.5 in decreasing order.\nAnswer: 3, -0.5, -393\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (102\/(-68) - 1*8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10023 and 68619.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.5 (c) 2 (d) -1 (e) -28 (f) -8\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 42 = -5*y, m - 4*y = -68 + 33 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) 1 (b) 0.13 (c) 0.01 (d) 9 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7 (b) -2\/131 (c) 4\/7 (d) -1 (e) 0.3 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 + 8*d + 8. Let h(w) = 2*w**2 + 3*w + 3. Let t(l) = 2*l**2 - 4*l + 3. Let i be t(2). Let s = 22 + -30. Give i*k(r) + s*h(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 8*w**2 - 22*w + 5. What is the tens digit of t(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 5\/2, 0.14, 0.4, 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -1, -5, -1990?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 441 + -7933\/18. Let q be (7 - 6)\/(257\/(-9)). Let d = q + -9951\/2056. Find the common denominator of c and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4163 (base 11) to base 7\nAnswer: 22035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4348.3254 rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6325 + -6316. Solve 13*w = 2*x + 18*w, -r = -x + 2*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2968, 2958, 2934, 2890, 2820, 2718, 2578?\nAnswer: 2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - (-19825)\/20. Suppose 7*y + 263 = l. What is the greatest common factor of 26 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:34 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 24 + 14*p**2 + (4 - p - 4)*(2*p + 1 - 1) to the form t*p + c*p**2 + x and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139200 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 1111*y**5\/20 + 17*y**4\/6 - 3*y**2 - 261*y - 1. What is the third derivative of v(x) wrt x?\nAnswer: 6666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**5\/7 + 28*n**4 - 4954*n**3\/7 - 45016*n**2\/7 - 14600*n - 49632\/7 = 0 for n.\nAnswer: -47, -4, -3, -2\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 394 by 9051.\nAnswer: 394\/9051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/68 - -3\/17. Let i = 26317\/14 - 1880. What is the closest to o in i, 4, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*o + i - 14, 5*o - 18 = -2*i. Suppose o*c + 12 = 16. Suppose -c*j - 21 = -85. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13177667, -13177660, -13177651, -13177640, -13177627?\nAnswer: -13177612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10878a (base 11) in base 13?\nAnswer: 60774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**3 - 7*h**2 - 104*h. Let s(g) = -22*g**3 + 29*g**2 + 415*g. Let t(k) = -9*i(k) - 2*s(k). What is the second derivative of t(d) wrt d?\nAnswer: -6*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7900 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2042, 8, -51.\nAnswer: -51, 8, 2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*6*((-28)\/12)\/(-7). Suppose 0 = -3*h - 5*l - 4 - 9, y*h = -3*l - 10. List the prime factors of (268*h - -3)*4\/(-10).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68684404 to the nearest integer?\nAnswer: 8288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -6. Let i = 3 - -4. What is the remainder when (-1 + z)\/((-3)\/(-60)) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 20*y + 19*y + 17 = 0, 5*y - 10 = 5*u. Which is the nearest to 0? (a) -0.1 (b) -1\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 - 52*q**2. Let n be w(13). Let d(b) be the third derivative of 0*b**3 - 1\/210*b**6 + 0 + n*b - 2*b**2 + 1\/105*b**5 + 0*b**4. Factor d(v).\nAnswer: -4*v**2*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 4*i + 6. Let s be f(-4). Let d(p) = p**2 - 3*p - 8. Let v be d(s). Suppose 0 = -0*m + 2*m - v. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6737949 days to hours.\nAnswer: 16.1710776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 360, 40?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 1. Let v(l) = -9*l - 54. Calculate s(k) + v(k).\nAnswer: -12*k - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43443.9955 rounded to the nearest ten?\nAnswer: 43440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16850 + 32647. Is 15797 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3970046 (base 10) to base 2.\nAnswer: -1111001001001111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 2 + 3 + 3*w + w**2. Suppose -x - 3*i + 8 = -0*x, -8 = x - i. Let j be k(x). Which is the third biggest value? (a) -4 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q - 22. Let h be u(4). Sort h, -1, -2\/9, 0.04 in descending order.\nAnswer: h, 0.04, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12) + 105\/12. Let q(k) = -11*k**2 + 1 + 5*k**2 + x*k**2 - 2. Give q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*t - 3*n, -n - 58 = -2*t + n. Let l = t + -11. What is the lowest common multiple of l and (-366)\/(-24) + (-20)\/16?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-127)\/(-635))\/((-63)\/30)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -225816455.21.\nAnswer: -225816459.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(((-1)\/2)\/(-464*7\/56))\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28183135.\nAnswer: 5, 5636627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 4}. What is prob of picking 1 y and 2 a?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3140 and 1\/1884.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -1.191.\nAnswer: -30.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 11*s + 9. Let o be y(-9). Let g be (36\/o)\/(4\/6). Find the third derivative of 160*b**4 + 12*b**2 - g*b**2 - 161*b**4 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -11011111111?\nAnswer: -11011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 13*k. Let r be l(-9). Let x be -15*3*5\/r. Solve -28 = x*z - 4*m + 8, 4*z - 3*m = -28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21236 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18370 + -18374. Let y(z) = -z - 20. Determine y(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -173577838, -173577837, -173577836, -173577835, -173577834?\n\"Answer: t - 173577839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 6\/(-4))\/((-773)\/(1372848\/(-33300)))?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-284)\/63190*(-160)\/(-32).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Solve -q*r = -2*g - 5, 4*g = 3*r + r - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157898?\nAnswer: 2, 3, 7, 19, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.4, 0.1, -0.24, -166 in decreasing order.\nAnswer: 0.1, -0.24, -0.4, -11, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/119*3\/5*(-385)\/(-99)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.334 + -2.834. What is the smallest value in p, 0.2, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 101489*r**2 - 13*r + 130. Let u be z(7). What is u rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14742288811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 262\/5. Suppose -l - 3*n + 4 = 0, -3*l - n = 4 - 0. Let c be l\/((0 - -1) + -3). Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4 - 7?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -36. What is the first derivative of -4 + 2 - h - 7*g**3 wrt g?\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*a - 1264. Let r be (1 - a\/(-8))\/((-1)\/4). Let b = 117 - r. Calculate the highest common divisor of 63 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -1\/15*q**5 + 0*q**4 - 3*q**2 + 0*q**3 + 0*q + 1\/30*q**6 + 0. Find the third derivative of o(i) wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3, -9*z - 5 = -10*z - 5*d. Let v be 55\/z + (-1)\/(-4). Solve v*f = -0*j - 3*j, 5*j - 9 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8*r = 66. Calculate the smallest common multiple of ((-12)\/(-14))\/((-3)\/(-84)) and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -836523\nAnswer: -1\/836523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 558878000 to the nearest one million.\nAnswer: 559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2 - 95*j - 210 = 0.\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8169 or 8168?\nAnswer: 8168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2. Suppose 9 = 2*q - 5. Let b(c) be the first derivative of c**3 + 2 + 4*c**3 - q*c**3. Give i(b(m)).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 i, and 1 f when four letters picked without replacement from {i: 6, r: 1, f: 4, s: 2}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 337\/7. Suppose 4*g = 2*d + 8, 5*d + 3 = 3*g - 3. Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/2 + 35*n**3\/2 - 7*n**2\/2 - 239*n\/2 + 105 = 0.\nAnswer: -35, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2403)\/((-81)\/9))\/((-570)\/190)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(304) + sqrt(190)\/sqrt(40))**2.\nAnswer: 5491\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 - 9*h + 6. Give b(4).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-5079730.\nAnswer: 1015946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16235209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5404 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15 + 4 - i - 8*i**2 - 4*i - 6*i + 2*i. Let t(w) = 4*w**2 + 5*w + 6. Calculate 7*t(g) + 4*x(g).\nAnswer: -4*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20592 = 24*k - 11*k - 49*k. What is k rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41095863 by -1327.\nAnswer: -30969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, 17, 78, 195, 386, 669, 1062?\n\"Answer: 3*x**3 + x**2 - x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4)*c*c*(c**(1\/5)\/c)\/c)**(17\/5)*((c*c**(-4)\/c)\/c)\/((c*c*c**6)\/c)*c**(-4)\/((c*c\/c**(-1\/7)*c*c)\/c) assuming c is positive.\nAnswer: c**(-14709\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5315193 = 93*i - 2588784. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 131*p - 3118. List the prime factors of z(56).\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 14*z**3 - 5*z**2 + 7*z - 1. What is the lowest common multiple of 114 and j(1)?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162 and 2.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (48\/88 - (-188)\/(-22)) + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*i + 36*i + 32*i)*(-8 + 3 - 4).\nAnswer: -378*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*p - 562 - 458 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 3. Let t = 43.8 - 44. Is d at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 50*a**2 - 4*a**3 - 21*a**2 - 17*a**2 - 12*a**2. Let d(t) = t**3. What is 5*d(w) - m(w)?\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4036872, -8073697, -12110522, -16147347?\nAnswer: -20184172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/200 and 73\/675?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2330146 by -179242.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 61*v + 521. Determine k(-52).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477 and 27?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/6517 + -6521\/13034. Let y = 2 - 2.3. Let n = y + 0.5. Which is the closest to -1? (a) n (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -595\/162 - -470\/81. Calculate the common denominator of y and 39\/47.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 5) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 + 2*g + 4. Let b be f(-1). Solve 4*x = b*x + 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 56 + 11. Let b(d) = 0 + 8 - 2 + f*d**3 - 7*d**3. Let m(z) = z**3 + 1. Calculate -b(g) + 4*m(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 18*b = -42. Suppose 6*h + 240 = 3*c + b*h, 4*c - 312 = 2*h. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1657, -5285, -8847, -10309, -7637, 1203, 18245?\n\"Answer: 339*w**3 - 2001*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -283.2 - -288.287. Let s = 0.087 - v. What is the closest to 2\/5 in 10, 1\/5, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 38*y + 3*q - 292 = 0, 716 = 5*y + 4*q. What is the smallest common multiple of y and 1288?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - 132034142?\nAnswer: -132034240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, z: 2, u: 8}. What is prob of picking 1 u and 3 r?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1034 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -23, -65, -143, -269, -455?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -5 + 15 + (-938106)\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**8\/84 + 2*i**7\/35 - 4*i**5\/15 - 3*i**2. What is n in s(n) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 443 + -441. Let o = 2 + -1. Calculate the highest common divisor of o and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.155467 milliseconds?\nAnswer: 155.467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2625646687.\nAnswer: 2625646687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*j**2 - 334*j**2 + 65*j**2 + 316*j**2.\nAnswer: 340*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjm when three letters picked without replacement from jassma.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2183\/1768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + (-57 + 34 - -31) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -304*c - 2339. Determine y(-6).\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -24, 1, 0, 4, 3.\nAnswer: -24, -10, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5673124.79 - 2003.8\nAnswer: -5675128.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4*r + r - 3, 0 = -4*b - 3*r - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 0*h - 5 - 7*h - 6. Is a(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 135 = 28*y. Suppose 22*k + 4*m + 165 = 23*k, -y*m - 471 = -3*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 2*f - 3*f)*(-4*f + 5*f + f)*(-114*f - 110*f + 14 + 315*f) to the form s + y*f**3 + g*f**2 + x*f and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztgittiztgtzigzigti. Give prob of picking 1 z, 1 t, and 1 g.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7096537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97986 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91008 and 474.\nAnswer: 91008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9182294 months to millennia.\nAnswer: 0.00015985245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25412869832 and 3.\nAnswer: -25412869829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 688 by -2.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 5*h + 15 = 0, 4*s = -h - 3. Let m be 3 + -1 + 1 + s. Let j = 6 + -3. Solve -3*r + j = -m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/3 + 131570500*i\/3 + 4327699117562500\/3 = 0. Calculate i.\nAnswer: -65785250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2658+-67\nAnswer: -2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002481663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*t**5 + 96876*t**3 + 8146253*t wrt t?\nAnswer: 560*t**3 + 581256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670829 (base 13) in base 14?\nAnswer: 473332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -13708.5.\nAnswer: 13708.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 10*r**3 + 4*r - 4*r**3)*(-27 - 9 - 73).\nAnswer: -218*r**3 - 436*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -346857360 divided by -28904780\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/35 and -17\/8860090.\nAnswer: 62020630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 - -11?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 529300.\nAnswer: 529300.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.8934 to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1102 + 1092. Let z(l) = l**2 + 14*l + 10. What is z(a)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349291366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1696, -4\/7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67282.33 rounded to the nearest ten?\nAnswer: -67280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 2.5. Let s = -0.127 + -0.003. Let n = 0.11 + s. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, 0.3128 in descending order.\nAnswer: 3, 1, 0.3128, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -872298, -1744545, -2616792, -3489039, -4361286, -5233533?\n\"Answer: -872247*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 39*j**2 + 3\/20*j**5 + 4\/3*j**3 + 0*j - 1\/120*j**6 + 0*j**4 + 0. Let b be l(9). Solve b = -s + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/59 (b) 5 (c) -0.2 (d) -2.6 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**2 + 0*g + 1\/9*g**3 + 0 - 1\/270*g**5 + 1\/54*g**4. Find x, given that k(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 12. Let f be k(9). Let c be (8\/12)\/(1\/f). Sort c, -4, 3.\nAnswer: -4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211656 - (4\/(-3) - -1)*(-63 - -66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3.33.\nAnswer: -9.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -28. What is the least common multiple of l and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 4633911.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2\/3 - 7*l - 20\/3 = 0?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -440\/443 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006759 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-35))\/(4\/(-20))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.5 + -26. Which is the closest to -1? (a) f (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + -0.24. Which is the third biggest value? (a) 0.04 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 174232 - -8?\nAnswer: 17423a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 + 2 + 0*m**2 + 2*m**2)*(5*m - 1 + 1)*(187 + 183 - 393) as g*m**2 + q*m + i*m**3 + k and give q.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(425))**2 + -5 + sqrt(1088)*1.\nAnswer: -431 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*((-5 + 0 + 3)*(-8 + 1 + 2) + 0 + 1 - 3)*(-1 - 5 - 1)*(4 - 4 + 2*z).\nAnswer: -560*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 926924.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.0345 rounded to zero dps?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(75) + sqrt(75)))**2 - (3*sqrt(75)*-3)**2.\nAnswer: -4859 - 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p + 6. Suppose 0 = d + 6. Let w be n(d). Let h = -6 - w. Solve 5*q - h = -y, -5*y = 5*q + 1 - 41 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 5*j = -155 + 216. Which is greater: -5\/1472 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/24 + 56*w**3\/3 + 225*w**2\/4 - 3918*w. What is p in o(p) = 0?\nAnswer: -1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 3}. Give prob of picking 3 e and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 23 - 23 + 7*r**3 - 24 - 31.\nAnswer: 7*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggy when three letters picked without replacement from {y: 1, g: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138661 divided by -41.\nAnswer: 138661\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9 - 43*u - 3 - u**2 + 42*u. Give g(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*66\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 28. Let c be 1\/(h\/32*4). Suppose -4*y = 3*a - 157, c*y - 3*a - 43 - 22 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3520552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwwwwfw. Give prob of picking 1 w and 1 f.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -0.05, 2, -0.5, -2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012370767 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 4*f + 1. Let q be x(4). Let h = 0 - 4. Which is the smallest value? (a) -5 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.8 times 413.6?\nAnswer: 34659.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.1 - -0.1. Let b = 33 + -22. Let r = b + -8. What is the biggest value in j, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 8:26 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96023*a**3*o**3 + 1401*a**3*o + 22*a**3 - 297*a**2 - 134*a + 1 wrt o.\nAnswer: -288069*a**3*o**2 + 1401*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -3\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205.9 - 206. What is the closest to v in 5, -2, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -183, -2\/9, 166 in increasing order.\nAnswer: -183, -5, -2\/9, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 - 2*j**4 + 3*j**5 - 5*j**5 + (2*j + 2*j**4 - 2*j)*(-2*j + 2*j - j) + 2 - j**5 - 2.\nAnswer: -5*j**5 - 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 2*v = -16, -5*v + 14 = p. Suppose 4*a + 88 = 5*g, -p = -5*g + a + 93. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3897.916 + 3913. Let v = a + -15. What is v rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25\/8 in 3, -6, 0.5, 32\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 7*m + 2*m + 2*m.\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -36229 at least as big as -36225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 145, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 560\/3*p**2 + 10 - 196\/9*p**3 - 1600\/3*p. Determine y, given that w(y) = 0.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 1, m: 2, v: 1}. What is prob of picking 1 j, 1 m, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, 0, -30, 2 in increasing order.\nAnswer: -30, 0, 2, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -422811 < -0.887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -3\/37, 0.4, -0.1, 2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 8 + -13 + (-8 - -635599) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(20)\/sqrt(2))\/sqrt(2) - ((1*sqrt(45) - sqrt(5))**2 - sqrt(5)) - (0 + sqrt(125) + -3)).\nAnswer: 6*sqrt(5) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17810306 rounded to the nearest ten thousand?\nAnswer: -17810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 20 = 5*c, 5*b = -2*c + 21. Suppose 9*n + 28680000 = b*n. What is n rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 - 72*l**3 + 309*l**2 - 468*l + 228 = 0. Calculate l.\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290790 and 78997950.\nAnswer: 236993850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 3:09 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from dfrrrrrfffrfffffrf?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 76\/5*a - 8\/5*a**2 + 132\/5 = 0. What is a?\nAnswer: -3\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32446*a**2*t**2 + 15*a**2*t - 1525*a*t wrt t.\nAnswer: 64892*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -127838372010 less than -1?\nAnswer: 127838372009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + 300. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 - 15*s + 11. Let m be x(5). Suppose 5*f + 2332 = -378. Let l = m - f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 683 - 680. List the prime factors of 732\/(-4 + x\/((-12)\/(-20))).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50848397.0000092 - -50848448. Let z = h - 51. What is z rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0.031, 78.\nAnswer: -2, 0.031, 5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -160, -461, -778, -1117, -1484?\n\"Answer: -w**3 - 2*w**2 - 288*w + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 81. Suppose 82 = 2*w - d. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 - w**3 + 3*w**2\/2 - 3*w - 3. Let j be v(4). Solve 5*f = j - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178023.1479 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 477707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920*k - 916*k = 68. Solve 0 = -i - 3*j - k, -2*i + 3*j = 5*j + 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 30 - 38 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*i - 5*z - 36 = 0, -22*i = -24*i + 4*z - 30 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5 + 32579*q + 18 - 32583*q. Determine o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*j + 5*j = 14, 0 = 5*t - 5*j + 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 55, -3, -5 in decreasing order.\nAnswer: 55, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 14*i + i - 1584 = 0. Calculate the highest common factor of i and 2412.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2496 and 5408.\nAnswer: 32448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h**4 + 10*h**3 + 37845*h**2 - 8410*h = 0.\nAnswer: -29, 0, 2\/9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 22*a**3 - 3*a**2 - 4*a - 5. Let j(m) = 21*m**3 - 4*m**2 - 5*m - 6. Give -6*i(q) + 5*j(q).\nAnswer: -27*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 8*b + 7. Suppose 4*y - 42 = 5*r, -4*r + 11*y = 9*y + 36. Calculate w(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3 = -l. Is 2 + -4 + 3*l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1042220000?\nAnswer: -1042220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.81 + 55.19. Let o = w - 56.4. Sort -3\/5, -2, 1, o in descending order.\nAnswer: 1, o, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = -5*z, -5*i = 4*z + 17. Suppose y + z = 3*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b - 192. What is v(27)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1. Let c(x) = x + 1. Let u(q) = -3*c(q) - 4*r(q). Let p(z) = -12*z + 10. Let l(i) = -p(i) - 3*u(i). What is the derivative of l(t) wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471806 < 12471802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cycy when four letters picked without replacement from ccccccccccccccccyy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93388 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) -2 (c) 0 (d) 0.2895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.139 - 26.5?\nAnswer: -23.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 64\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/117132 and -101\/73702.\nAnswer: 100382124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896656164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 18909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5190194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-9) + 2 + -1. Is r equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3994, 5.92, 1\/9 in increasing order.\nAnswer: 1\/9, 5.92, 3994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 899843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66682701 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 72*r = -d + 8813, -4*r + 5887 = -d. Calculate the lowest common multiple of 420 and r.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:14 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2742*c**3*n + c**3 + 125*c**2*n - 3*c**2 + 6*n + 2 wrt c.\nAnswer: 16452*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*1\/2)\/(189\/2142). Let r(t) = 3*t + 63. Give r(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46831145 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - 7*n**2 - 6. Let w(s) = -3*s**3 + 6*s**2 + 5. Suppose -15*i + 11*i = -5*z - 24, 5*z + 12 = 2*i. What is i*t(j) + 7*w(j)?\nAnswer: -3*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, l: 16}. Give prob of sequence lla.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -693 - -694. Calculate the remainder when 26 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 3. Let c be y(0). What are the prime factors of ((-129)\/12 + c)*-8?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5227667321 + 12.\nAnswer: 5227667333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**3 + 4*s - 2*s + 429347*s**2 - 214678*s**2 + 0*s - 214738*s**2.\nAnswer: 20*s**3 - 69*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15190, 17, 43, 1 in decreasing order.\nAnswer: 43, 17, 1, -15190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1422.\nAnswer: -4\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -268, -420, -574, -730, -888?\n\"Answer: -y**2 - 149*y - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v - 4. Let i(n) = -31*n - 18. Let l(z) = -18*b(z) + 4*i(z). Let p(w) = 38*w. What is l(p(c))?\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from eqxqgqgqxgffqhqqehq?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.8 - -0.2. Let b = 6 - d. Let p = 0.3 + -0.2. What is the second biggest value in 5, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 17*q - 49*q + 480. Solve -3*y - q = 0, 4*m + 154 = y + 151 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -167, -268, -401, -578, -811, -1112?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (sqrt(102) - (sqrt(102) + -4*sqrt(102))))*1)\/(sqrt(96)*1).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 954, 1905, 2856?\nAnswer: 3807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6*2\/(-64)*12*416\/(-78)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 25*f**2 + (3*f - f - f)*(-4*f + 3*f - f) + f + f**2 - f.\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 <= 15870\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -75239490 less than -75239491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1769098?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4462 or 5520?\nAnswer: 4462","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h)*(-317 + 101*h - 52*h - 51*h).\nAnswer: 4*h**2 + 634*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8 - -7 - -5) + (0 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60563 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {z: 2, f: 6, c: 3, u: 6, s: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61002 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 64, 95?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 9:46 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.34 and -167.\nAnswer: -168.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pphcyhp. Give prob of sequence chh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 6, m: 7}. Give prob of sequence mm.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 4, o: 11, s: 1}. What is prob of picking 1 s and 2 o?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268904 divided by -21?\nAnswer: -60424","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - ((1*sqrt(336) - sqrt(336) - sqrt(336)) + sqrt(336)))*-3 - sqrt(336))\/((sqrt(12) - sqrt(300)) + sqrt(675)).\nAnswer: -16*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y. Let w be z(10). Let a(l) = -3*l**2 + 84. Let f be a(8). Is 13 a factor of (f\/w)\/(2\/(-90))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.7 + -20.7. Sort 0.2, b, -47, 4 in descending order.\nAnswer: 4, b, 0.2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 357\/30 + 6 - 8 and (-1)\/(1\/((-117)\/21))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + -13 + 986 + -993?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 0 + 0)*(2*l + 3 - 3) + 5*l - l**2 - 5*l + 0*l**2 + l**2 + l**2 - l**2 + 4*l**2 - 4*l**2 - l**2 + 0*l**2 + 0*l**2 to o*l + h*l**2 + f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.78 + 0.7. Let i = d - -0.02. Let m = i - -0.56. Put 0.1, 0.3, m in decreasing order.\nAnswer: m, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 1) + (2165 - 2214) - (40 - 2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34834748 and 72?\nAnswer: 627025464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 79*v**3 + 74*v**3 - 1 + 2 + 2*v in the form b*v**2 + s*v**3 + d*v + u and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3492.985 - -3493. What is the smallest value in 5, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 1093, 1, -5, 0.2, -0.02 in ascending order.\nAnswer: -5, -0.02, 1\/10, 0.2, 1, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 10) + -6 - (-6 - 12) - -9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16498113217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 46 = 8. Suppose 0 = -3*z + 9 - 0. Find the second derivative of -4*v**w - v - 6*v - z*v**2 wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 3, w: 1}. Give prob of sequence weww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 13\/3*d**3 + 0*d + 0 - 11\/24*d**4 - 36*d**2 + 1\/60*d**5. Calculate the remainder when i(14) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*a - 157*a = 152*a - 490334. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 4*b - 2*b + 5*b - 4*b - 3*b + (1 - 1 - 2)*(-2*b + 2 - 2) - 5 + b + 5 - 76*b + 62*b - 24*b - 77*b.\nAnswer: -110*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143562, -143560, -143558, -143556, -143554, -143552?\n\"Answer: 2*j - 143564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.029, 43427 in ascending order.\nAnswer: 0.029, 1, 43427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 13*a - 3 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.3 (c) -1 (d) -1\/3 (e) 6\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130128165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*s**3 - m**2*s**2 + 7772357*m**2*s - 22*m*s**4 - 33980*s**4 wrt s.\nAnswer: 12*m**2 - 528*m*s - 815520*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29195 + -29191. Solve -p*f = 2*a - 6, 4*a - 47 = 3*f - 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 772668 and 3200.\nAnswer: 618134400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (51\/(-11628))\/(1\/(-149)) and -97\/20.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.112 (b) 23 (c) -0.2 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.256 * -634.\nAnswer: 2698.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 93?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -1819, -1830, -1855, -1900, -1971, -2074, -2215?\nAnswer: -2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -3 - ((0 - 3) + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -332472, -1329930, -2992370, -5319792?\n\"Answer: -332491*j**2 + 15*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 543*a**6\/40 + 407*a**4\/6 + 306*a**2. What is the second derivative of f(q) wrt q?\nAnswer: 9774*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3337929*j**3 + 71231076*j**2 + 467748*j + 768 = 0.\nAnswer: -64\/3, -2\/609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-24)\/(d\/(d\/((d\/(d\/(d*d**(-14))*d))\/d))) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1 - (-61 - -70).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 16*w. Let t(b) = -b**2 + 3*b. Let z(d) = -3*p(d) - 16*t(d). Let a(c) = -5*c. What is z(a(k))?\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:44 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 91862, -4, 3, 1\/2, -5, -0.2, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6262331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*z = -170*z + 718730. List the prime factors of z.\nAnswer: 2, 5, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632743845.\nAnswer: 5, 4283, 76243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100101000 + -10?\nAnswer: 110100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21520540, 21520549, 21520572, 21520615, 21520684, 21520785, 21520924, 21521107?\n\"Answer: z**3 + z**2 - z + 21520539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36551341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*l + 3*u, 6*l + 3*u - 15 = 3*l. Suppose 9*w - 4*w - 675 = l. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 86\/(-4)*-2*-1. Let h = s - -54. Suppose 3*z - h*z = -35368. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from auiqqququi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 26892 = 39*d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228254 and 66612?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 1. Let r = q + -6. Let d(c) = 4*c**2 - 1 - 103*c**3 + 104*c**3 - 4*c + 2. What is d(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4069327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154.6 - -155. Which is the biggest value? (a) 155\/3 (b) d (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/252466996 and -9\/730?\nAnswer: 1262334980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 7*p. Let n be t(-4). Let m(d) = -3*d + 9. Let w(b) = 4*b - 9. Let o(i) = -7*m(i) - 6*w(i). Is o(n) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 13*v + 15 = 0. Let w(a) = a**2 + 7*a. Give w(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from {s: 1, q: 1, e: 2, m: 4, o: 5, k: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121400 (base 5) in base 4?\nAnswer: -10330001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/(15\/40*(-12)\/18) and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -4, 4, 3\/5, 14\/145 in increasing order.\nAnswer: -4, 14\/145, 3\/5, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 21*t + 5. What is g(20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Suppose -80 = -5*a - 4*v, -2*v + 85 = m*a - 3*v. Suppose p = 2*p - a. Solve 0 = -5*c + p + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(31\/(1953\/(-105))).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130*6\/(-108) - -7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-3 + (-33)\/(-9)). Let b be -1*t*4\/(-6). Suppose 81 = -b*m + 377. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5389888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(12\/8*2\/(-69)). Suppose 7*p + 4*l - 16 = 5*p, -q = -p + l. Calculate the greatest common divisor of 27 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*h + 712*h - 151 - 177*h - 170*h - 176*h in the form v*h + m and give m.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 36*g - 2175 = 5*y, 5*g = -y - 455. Let m = y + 480. What is the highest common factor of m and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329862 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*r - 1840, -12*r + 14*r = -2*n + 1228. What are the prime factors of r?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 647 - 646. What is the nearest to q in -0.03, 3\/4, 2\/11, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1128*j**5*v + 485*j**2*v - 2*j*v wrt j?\nAnswer: 67680*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(56)\/(2*sqrt(8)) - ((-1*sqrt(700)*-6)**2 - sqrt(700)).\nAnswer: -25200 + 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1111100?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -49972 at most as big as -149915\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2048 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 8) to base 11.\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -11\/7, -3, 4\/5, 1, 0, -1\/19?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -33.154 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 48?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 - 45 + 3*n**4)*(81 + 350 - 119) in the form x*n + r*n**4 + u*n**2 + q*n**3 + d and give r.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from npfpfppfkpffpnnnnn?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -178*516\nAnswer: -91848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 12) + (3 + (5 - 59) - -7) + 9\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7830 is divided by 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224003099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 50 = -7*j. Let l be j - ((-279)\/39 + 5). Which is the smallest value? (a) -5 (b) l (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*i - 799, 0*a = 5*i + 3*a - 1997. What is the highest common factor of i and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 618*u**2 - 1003*u - 469. Calculate j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/2 + 15*h**4\/4 - 595*h**3\/4 - 1725*h**2 - 4408*h = 0.\nAnswer: -29\/2, -8, -4, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/((-3)\/(-24)). Suppose 164*q - 173*q + 36 = 0. Let h = q - x. Which is the nearest to 0.1? (a) h (b) -2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*0\/(-8). Suppose t = a - 6*a + 15. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*b - 12, -l + 5*b = b - 15. Suppose 2*j = l + 43. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 152021 - 0?\nAnswer: 152021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (5 - 9))*(-3 + 8). Sort 3, -6, r in ascending order.\nAnswer: -6, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 + 0*p**2 + (-19*p - 19*p + 20*p)*(3*p - 4*p + 3*p))*(3*p + 1 - 1).\nAnswer: -105*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -16, -53, -110, -187, -284, -401?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22061, -22059, -22057, -22055, -22053, -22051?\nAnswer: -22049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.08413um in kilometers?\nAnswer: 0.00000000308413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*u**3 - 8*u**3 - u**3)*(3 - 4 + 4).\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.07955 rounded to 1 dp?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 618119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 9*g - 39*g + 8*g. Let p be 18\/(-3)*(-1)\/2. Sort -1, g, p in ascending order.\nAnswer: -1, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 92. Let j(n) be the third derivative of 0*n**4 - 3*n**2 + 1\/30*n**5 + 1\/60*n**h + 0 + 0*n + 0*n**3. Find the third derivative of j(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 31*q**2 - q + 12. Let n be d(3). Let x = -283 + n. Solve -2*k + p + 0*p = 2, x*k + 3*p - 17 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f - 19. Suppose 0*k - 42 = -7*k. Let b be p(k). Let l be 6\/3 - (-8)\/(b + -3). Solve 3*h + l*h + 35 = 4*a, 2*a = 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q - 10. Let p(i) = -6*i - 10. Determine 4*h(c) - 3*p(c).\nAnswer: -10*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5007621*z**2 + 601491*z wrt z?\nAnswer: -10015242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:09 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2520218011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 60*r - 378. List the prime factors of u(22).\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -67*m + 68*m, -4*m = -3*q + 9. Let x(b) = 63*b**3 + 18*b**2 - 18*b - 18. Let z(w) = -18*w**3 - 5*w**2 + 5*w + 5. Calculate q*x(u) - 18*z(u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23782 = -3*w - i, -6*w - 2*i = -2*w + 31706. Let l be 0 + (-3)\/8 + w\/(-24). What is the greatest common divisor of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -467661.\nAnswer: -26\/467661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-2))\/((-2)\/(-4)). Let m = -201 - -213. Solve m = c*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/2 + 38*u**3 + 97*u**2\/2 + 12*u = 0.\nAnswer: -24, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2, 4, -10978, -0.4, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-18)*0*(-1)\/(-1). Suppose -2*f + 0 = h - 3, -h - 3 = j. Suppose -3*y = -f*q - 2*q - 24, -4*q + 3 = 5*y. Solve -t + d = y, -t - 4*t + d = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, -0.207, 0.4?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/41259750 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73\/(-238) - (-50 - -45)\/70?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and 6403880?\nAnswer: 83250440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 18*f + 50 - 95 to k + s*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*y + 76 wrt y?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 15603869*i**2\/5 - 12174034828071*i\/5 + 2434807589769\/5.\nAnswer: -(i + 1560387)**2*(5*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2713 = -10*o - 1037. Suppose 8544 = 2*q + 4*q. Let w = q + o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 9826 = 7*d - 15424. What is the remainder when d is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3176*z + 35415. Calculate j(-11).\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 + 110.7. Let u = y - -42. Which is the third biggest value? (a) 0.4 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -81*k + 9. Let m(y) = -95*y + 9. Give -5*c(h) + 4*m(h).\nAnswer: 25*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 + 0 + -12)*(-686)\/(-2058)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + -1*((2*sqrt(720) - sqrt(720))*-2 + sqrt(720))*-1)**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((j*j**(1\/14))\/j)\/j)\/j)\/j**(2\/23))\/((j\/(j*j\/((j*j**(-1\/13))\/j)))\/j**7))**(-2\/47) assuming j is positive.\nAnswer: j**(-25373\/98371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-425)\/(-30) - 14)*6\/7*91. Suppose f = 5*f - 8. Solve -2*o = 5*k - q, -2*k + 14 = -f*o + 2*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vsvvvvvvssvss.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvqejpqjvpqe. Give prob of picking 1 q and 1 v.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a microsecond in nanoseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 11*n**2 - 9*n + 2. Give s(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -19.6. Which is the closest to -0.1? (a) -0.2 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k - k - 40 - 3*k - 4*k - 10 in the form j + d*k and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002356 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 20931.078 months?\nAnswer: 17.442565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.786 + -0.214. Let q = 43 + p. Which is the closest to 1? (a) 0.5 (b) q (c) 0.039\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 205\/9. Which is the closest to 2\/5? (a) 0.1 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (20 - (2 + -5)*-1). Suppose 0 = c*v - 4*v - 6094000. What is v rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 339*f**2 + 22107*f - 1661. What is i(88)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -34, -4, 2.\nAnswer: -34, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 at most as big as -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75)*1 - sqrt(75) - sqrt(75) - sqrt(75))\/sqrt(5)*-1)\/(sqrt(450)\/sqrt(6) + -6*sqrt(12)))**2.\nAnswer: 20\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21083*v**3 - 12634 wrt v.\nAnswer: -63249*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106938.\nAnswer: 2, 3, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -39 + 395. Let z be (r\/(-3))\/((-6)\/(-9)). Suppose w - z + 51 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83694, 83638, 83566, 83478, 83374?\nAnswer: 83254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, w: 6, e: 2, d: 3}. What is prob of sequence weed?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 802. Let l(p) = 2*p + 1604. What is -11*h(a) - 5*l(a)?\nAnswer: a + 802","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*-88011\nAnswer: -352044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.1, -40, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 48 = -0. Suppose -x*i + 4*i = 12. Let t(j) = j**2 + j + 2. Let s be t(i). Which is smaller: s or 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1658, -3276, -4894?\n\"Answer: -1618*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2686 - -2687. What is the closest to q in 5, 0.1, -0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/30)\/(2*5\/60).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(68\/(-48)))\/((-12)\/(-396)*11).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 143855179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b + 3. Let v be j(-3). Suppose 4*a = 3*x + 6, -v*a + 2 = -4*x + 1. What is the second derivative of 2*h**2 - 4*h - 5*h**x - h**2 wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147 + 151 + 12*n**2 - 299 in the form b*n**2 + h + v*n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-1))\/(((-1)\/(-14))\/(588\/(-6174))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -b2c61?\nAnswer: b2c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*c + 26 = 0, -4*c + 3*c = -z + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 3*t**2 + 4. Let q be y(-3). Suppose 3*o = q*o - 5. Suppose 5*v + o*d = 20, -v - 5*d + 4 = -8. Calculate the remainder when 4 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190 (base 11) to base 7.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + -15. Is 12 a factor of 1*(-3 + 2) - v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2, 8, -1\/4, 1.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/9 - 179*v**3\/3 - 71189*v**2\/9 - 197581*v\/3 + 73830 = 0.\nAnswer: -321, -207, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 11\/6*j**3 + 0 - 33*j**2 + j**4 + 0*j. What is the first derivative of v(z) wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 + 1814 + 8\/(-2). Let w = m + -1014. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnf when three letters picked without replacement from {f: 1, a: 1, n: 3, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + 0*m)*(44*m - 1 - 417*m + 0).\nAnswer: -373*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 16, h: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfgxfxffffcxkk. Give prob of picking 1 k, 1 c, and 1 x.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 26\/9, 7, 2 in descending order.\nAnswer: 7, 26\/9, 2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:16 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -425 - -1074. Calculate the greatest common divisor of 59 and f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a + 11 - 10 - 1 as v + n*a and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31145, -30312, -29481, -28652, -27825, -27000?\n\"Answer: -w**2 + 836*w - 31980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in -2\/5, -5, -1, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2057) + -4*(sqrt(2057) - 1*sqrt(2057)))*-3*-6)**2.\nAnswer: 666465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**3\/7 - 3076*p**2\/7 + 18568*p\/7 - 24800\/7 = 0.\nAnswer: -775, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**4*r - 268*h**2*r + 30*h*r + h - 17568470*r wrt h.\nAnswer: 16*h**3*r - 536*h*r + 30*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 391 + -387. Solve 4*w + f*g = 24, -2*w + 5*g - 25 = -2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 9*l**2 - 8*l - 14. Let z(t) = t + 3. Let w be z(7). Let j be s(w). Suppose -2 = 2*f + j. Let a(o) = o - 5. Calculate a(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.3476 years in decades?\nAnswer: 95.93476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiilddi. What is prob of sequence ffd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/25))**(-2\/15)\/(f\/f**(-15)*f)**4 assuming f is positive.\nAnswer: f**(-25552\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202 (base 4) to base 2.\nAnswer: 10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 - 4\/3*d**3 + 8\/3*d**2 - 1\/6*d**5 + 16\/3 + 8*d = 0 for d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9122 - -4181. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7396 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwdfwffwff. What is prob of picking 1 f and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -154 + 670. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*(-4)\/49?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 5*f, -13 = -5*o + 4*f. Suppose 762 = 4*p + 746. What is the biggest value in -1, o, p, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811, -837, -917, -1081, -1359, -1781, -2377?\nAnswer: -3177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7245 and 207?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -42. Let q(i) = i**3 - 4*i**2 + 12*i. What is the units digit of q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let r(g) = -3*g**5 - 2*g**4 + 9*g**3 + 12*g**2 + 9*g - 5. Let x(w) = -5*a(w) - r(w). What is d in x(d) = 0?\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -8, 6, 1.198, 2\/5, 11\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*y + 3*p - 16, -10 = 4*y - p. Sort -3, y, -4 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -39. Suppose o = -2*c + 48, 19 = a*o - 3*c - 182. Calculate the least common multiple of o and 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117*u**6 - 5*u**5 - 5193*u**3 - 572*u**2 + 3*u + 2008.\nAnswer: -14040*u**3 - 300*u**2 - 31158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 2*b - 3 + b**2 + 4*b. Let m be 5*(-7 + (-7 - -13)). Let a be -9*4\/(7 - m). Calculate f(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8340? (a) 4 (b) -4\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 408052.5l?\nAnswer: 408052500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iafiaaiiaiay. Give prob of picking 2 a and 1 i.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*s**2*z**2 + j*s*z + 2*j*z**2 + 2*j + 24*s**2 - 260*z**2 wrt s?\nAnswer: 2*j*s*z**2 + j*z + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05093896651 and 1.745?\nAnswer: 1.69406103349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 447\/13 and 35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1484 divided by 2\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2. Let y(k) be the first derivative of -41 + 29*k**2 - 27*k + 17*k + 10*k. Calculate h(y(n)).\nAnswer: 10092*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -273.857772?\nAnswer: -109.5431088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -129. What is the remainder when z is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + -8 + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-3 + 3)) + 5. Suppose -45*f = -46*f + 10. Solve p = w*p - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 94\/3 + (-32)\/6 + 6. Let o = s - 32. Suppose -83 = -o*v - v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 13*u**9\/168 + 5*u**5\/12 + 10*u**2. Find the third derivative of x(p) wrt p.\nAnswer: 4680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/10 + (-2)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23156176 + -23156176.10619427. Let d = o + 0.1062. Round d to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1560\/32)\/39*(-676)\/(65\/(-5)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**5\/50 - 3*r**4\/20 - 3*r**3\/10 + 86. Let n(g) = 0. Calculate g.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 8*y**3\/3 - 4*y**2 + 13*y - 20. Let c be u(4). Let o = c + -63. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*o*s**2*t - 262*o*s**2 - 11537*o*t + 3502*s wrt t.\nAnswer: -53*o*s**2 - 11537*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(2*b**2 - 3*b**3 + 2*b**2 - b**2) to the form r*b**2 + h + c*b**3 + f*b and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*n + 13, 5*l + 0*n + n - 14 = 0. Let b be l\/5 - 34\/90. Let x = 4211\/3 + -1405. Put b, 4, x, 2\/7 in increasing order.\nAnswer: x, b, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.28 (b) 41.8 (c) 9 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1242)\/(-75) - 1\/((-3)\/(-48)))*5.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67681352.\nAnswer: 2, 17, 107, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (463\/(-15) - ((-65)\/75 - -1))*-1. Let w = -5 + 8. Solve -34*z = -k*z + w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179785, -5, -3 in ascending order.\nAnswer: -179785, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + c + 9. Give l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 + h + 1. Let t be l(-2). Let x = 13 - -3. Suppose f = -t*f + x. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - a**3 - 993*a**2 + 4*a**4 - 137*a + 1846*a**2 - 854*a**2 + 5*a**4 - 1 to s + j*a**4 + p*a**2 + v*a**3 + z*a and give z.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-18)*((-68)\/170)\/((-24)\/45)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k - 14945 = -1084*k + 12751 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6617, -13121, -19625?\nAnswer: -26129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 19132261?\nAnswer: -17219034.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 420?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -770, -1612, -2468, -3344, -4246, -5180, -6152, -7168?\n\"Answer: -m**3 - m**2 - 832*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -972 by 22.\nAnswer: -486\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 56 = 46*b. Let a(n) = -32*n**2 - 37*n**b + 128*n**2 - 31*n**2 - 44*n**2. Let f(z) = 24*z. Give a(f(l)).\nAnswer: -9216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2 + 588*d + 47232 = 0.\nAnswer: -492, -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2096*x**2 + 3*x + 292.\nAnswer: -4192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.23435 kilometers in micrometers?\nAnswer: 2234350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -610, 1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 86*v - 693. What is the remainder when r(100) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58349833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2610 + -2564. What is the biggest value in 1, j, -4\/5, 3, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 6*t**2 + 3*t + 3. Let f be a(-5). Let i be (-8)\/20 - 6\/(-15). Suppose -g = -i*g - f. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(77)*-2)\/sqrt(11))*-1.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98 - 21292?\nAnswer: -21390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.16. Let k = i + 0.34. Let d = 3 + -3.5. Which is the third smallest value? (a) k (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2234 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -8, 4*f + i + 12 = -2*i. Suppose 3*d + f*d - 12 = 0. Differentiate -w + d*w - 4*w - 2*w + 1 with respect to w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 75*x - 29. What are the prime factors of f(11)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*n - 1371*n**2 + 1376*n**2 - 200*n - 151*n**3 wrt n?\nAnswer: -906*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*i + 11*i - 6*i**2)*(-1 + 0 - i + 4*i) to p*i**3 + a*i + t*i**2 + v and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**42\/i)\/(((i**40\/i*i)\/i)\/i) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 133 = -4*c, 113 = 4*c + a - 0*a. Suppose 0 = 4*k + 2*m - 42, 3*m - c = -5*k + 26. What is the least common multiple of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 8*p**2 + 9907. Let v(r) = 181*r. Determine v(h(f)).\nAnswer: 2896*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -23*(0 + -2 + 1). Suppose -50903 = 466*g - 168801. What is the greatest common divisor of b and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.04 - 10.64. Let s be 2*((-1 - -3) + -3). What is the smallest value in o, s, -1\/20?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31205454 (base 7) to base 6\nAnswer: -132123230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395415638 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (2*sqrt(9)*4 + sqrt(9)))\/sqrt(3).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.981 - 39496.4?\nAnswer: -39475.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1007, -1006, -1005, -1004, -1003, -1002?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5*m**2 + 2*m**2)*(10*m**2 + 6*m**2 + 29*m**2).\nAnswer: -180*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45968877?\nAnswer: 3, 31, 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 57*w - 215. Solve 4 = o + 2*n - 2, 0 = w*o - 2*n + 30 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**6\/105 - 13*r**5\/35 - 12*r**4\/7 - 10*r**3\/3 - 23*r**2\/7 - r - 5. Factor z(y).\nAnswer: -2*(y + 1)**3*(y + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-193 - -179) + -1 + -4 - 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 21 = 3. Let z(r) = -8*r**2 + r. Let g(x) = -15*x**2 - x + x + x. Let f(k) = l*g(k) - 11*z(k). What is the second derivative of f(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*2 - (2*sqrt(13)*-4 + -1))**2*-3.\nAnswer: -7647 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*n - 32, 0 = -3*u - u - 3*n - 113. Let t = 105\/4 + u. What is the nearest to 1\/4 in 5, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.3 + -27. Let l = 2.53 - h. Round l to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -706, -1398, -2090, -2782, -3474?\n\"Answer: -692*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 313*1 - 27\/(-9). Let p = x - 225. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1501)\/285 - 5\/(-1))*12\/64?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 + 2*b**2 - 7*b**2 - 10 + 53 to v*b**2 + s + x*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117259 is divided by 106?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 30*u**2 - 86*u + 36. What is v(-10)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -30, 3, -3, -831 in descending order.\nAnswer: 3, -1, -3, -4, -30, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in minutes?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4.1, 0.4, -943.6, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.11 + 0.11. Let v = 12.78 + g. Let s = v - 2.49. Round s to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01695 and 0.\nAnswer: 0.01695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14167\/11 - 1284. What is the common denominator of 103\/1034 and n?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-252)\/(-52) - (-2)\/13. Let a be 1 - 2 - 36\/(-20). Put a, y, -2 in increasing order.\nAnswer: -2, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*m**2 - 7964*f**3 - f**2*m - 9763*f*m**2 - 2*f*m wrt m?\nAnswer: 6*f**3 - 19526*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q\/q**(2\/61)*q)\/(q**(-2\/11)\/(q\/q**(10\/7))) assuming q is positive.\nAnswer: q**(40960\/4697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let z(y) be the third derivative of y**4\/24 + y**3\/6 + 4848*y**2. What is -5*v(n) - z(n)?\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-4))\/v)\/v**(2\/5))**(-25) assuming v is positive.\nAnswer: v**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -11, 0, -13681, 98 in descending order.\nAnswer: 98, 0, -1, -3, -11, -13681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 12 = 3*b. Suppose 4*s - 2 = -h - s, -5*h = b*s - 73. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Let w(f) = f**2 + f - 1. Let v(l) = -j(l) + 3*w(l). Let r(i) = 16*i**2 + 11*i - 11. Let s = -13 - -11. Determine s*r(g) + 11*v(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143109892.\nAnswer: 2, 307, 116539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9322508334 to the power of 1\/2, to the nearest integer?\nAnswer: 96553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:09 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {v: 1, y: 2, i: 2, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(1331) - sqrt(132)\/(3*sqrt(12))).\nAnswer: 67*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**5\/20 - 33*k**2\/2 + 6. Let l(a) be the second derivative of h(a). Let r(b) = 6*b. What is l(r(g))?\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 9. Let u be x(11). Suppose 395 = -a + 3*a + 5*i, 2*a - 404 = -u*i. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-19)*17\/((-952)\/(-532)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 + 58914*k**3 - 176724*k**2 + 176718*k - 58905 = 0. What is k?\nAnswer: 1, 19635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9565.1 - -9122. Let d = -443 - p. Which is the smallest value? (a) d (b) -0.3 (c) 8.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 0*o + o - o + o. Let h(b) = 2*b. Calculate 2*g(l) + h(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75762, 151510, 227242, 302958, 378658?\nAnswer: 454342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 41*y + 2155. Let q be n(-52). Let b = 13 - -10. Calculate the highest common divisor of q and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-168)\/(-7) - -4*1 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645475749 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/22294380 and -107\/11147190.\nAnswer: 22294380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*(sqrt(13) + sqrt(39)\/sqrt(3)) - (3*sqrt(52) + (2*sqrt(65))\/sqrt(5)))*4)**2.\nAnswer: 640*sqrt(13) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22176)\/(-12672))\/(1\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 39*g**3 + 2*g**2 - 2*g. Let n be i(1). Suppose n*m - 38*m = 316. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(-2\/65)\/i)))**(7\/11) assuming i is positive.\nAnswer: i**(-469\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 1\/2, -1, -0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y = -27*y + 6504. Let n = y + 816. Solve -5*x = 3*v - 18 - 6, -3 = 2*v - n*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1243, -9350, -31235, -73786, -143891, -248438, -394315, -588410?\nAnswer: -837611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - 0.2. Let z = 0 - 3. Let y = n - z. Which is the second biggest value? (a) 5 (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-3)\/177) + 16 + -11. What is the second derivative of -50*h**3 - 3*h + m*h**2 - 20*h**3 + 7 + 11*h**3 - 64*h**2 wrt h?\nAnswer: -354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -5\/3*q**3 - 45*q - 9 - 15*q**2. Suppose d(p) = 0. What is p?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/60*(-10)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/3 + 31*l**4\/3 + 90*l**3 - 5508*l**2 + 44712*l = 0.\nAnswer: -23, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157144 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -28 + 32 - 9872\/(-2). Let u = i + -258. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - 2*n + 2*n + (2 - 2 - 1)*(-25*n + 1 - 1).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.513 - -0.487. Which is the closest to 1? (a) 20 (b) i (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:31 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1537, -6199, -13969, -24847, -38833, -55927?\n\"Answer: -1554*q**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4338 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 247250 divided by -233?\nAnswer: -247250\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36118889, -72237779, -108356669, -144475559, -180594449?\nAnswer: -216713339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6\/1609 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 8100*v**4 + 106020*v**3 + 333376*v**2 + 29008*v + 640 = 0. Calculate v.\nAnswer: -8, -5, -2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-442)\/(-204))\/(3\/54)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 15*v + v - 11*v as c + y*v and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390942525.\nAnswer: 3, 5, 2053, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7991747 divided by 86\nAnswer: 7991747\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6153323.\nAnswer: 11, 103, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**3*w**2 + r**3*w + 33*r**3 - 267*r*w**2 + 2*r*w + 3*w**2 wrt w?\nAnswer: -6*r**3 - 534*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1507?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.69418318 rounded to 1 decimal place?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) - (-7)\/315*-12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197062*f - 1 - 198416*f + 398136*f)*(0*f - 3*f + 2*f).\nAnswer: -2658*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -23*z - 70. Let d(i) = -i - 1. Let s(c) = 2*d(c) + j(c). Find the first derivative of s(m) wrt m.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Suppose 4 = -2*g + j, -g + r*j - j - 2 = 0. What is the biggest value in -4, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 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: Suppose 0 = -51*x + 52*x - 8. Suppose 5*z + k - 33 = -x, 3*z = -2*k + 8. Let m(g) = g**2 - 6*g - 5. Give m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(1\/1))\/(20*(-96)\/(-640))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/31947 and 41\/91613347?\nAnswer: 274840041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2368 + 4299. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b*b**0*(b\/(b\/(b\/b**(1\/4)))*b)\/((b\/(b**(-9)*b))\/b))**(6\/11) assuming b is positive.\nAnswer: b**(-27\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569461 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 3) to base 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 452 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 + 379. Suppose 4*b - 1001 = -l. Suppose 5*f + 2*a - 945 = 0, f + 0*a = -2*a + b. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1, 2982, -12 in ascending order.\nAnswer: -12, -1, 3, 4, 2982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.459 + -0.806. What is b rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*o**2 + 12*o**3 + 14*o**3 - 24*o**3 + (-2*o**2 - 2*o**2 + 0*o**2)*(0*o + 3*o - 4*o) to a*o**3 + x*o**2 + w + m*o and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - 2*p**2 - 7*p + 3. Let n be q(3). Suppose 372*a - 108 = 368*a. What is the greatest common divisor of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163283628*x - 42*x**3 - 163283656*x + 326567284*x.\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v*v**7)*v))**(-3\/23) assuming v is positive.\nAnswer: v**(-18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in 4, -13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 4*x**2 + x - 1. Let q be t(-3). Let j be (-1)\/(-9)*-47 - (-44)\/198. Let a be j*2*2\/(-5). Solve 2*g = -3*o - 4, 6*g = -q*o + 2*g - a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -578c91 (base 15) to base 14\nAnswer: -7aba10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - (3 + 4*-1). Suppose q = 6*z - 3*z + 12, -16 = 4*z - 2*q. Let l = x + z. Solve l*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*y - 39*y - 4110. Let b = y + -408. Solve -2*s + 10 = -2*o, -b*s - 4*o = -s + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 7. Calculate s(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 8*k**2 - 224*k + 1082. Give o(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -218, -4 in increasing order.\nAnswer: -218, -4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 27 = 27*y - 36*y, 6 = -i - 3*y for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w - 9. Suppose 5*n + 3 = -4*z, -n - w*z - 3 = -z. Let a = 446\/55 + -76\/11. Do n and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*2\/4*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69968379.\nAnswer: 3, 13, 17, 105533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3155 (base 11) to base 2\nAnswer: 1000001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16633528 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-6)\/(-35)))\/((-25)\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51133 + 65656 = 309*l for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3 - 499*h**2 - 4049*h - 3549 = 0?\nAnswer: -7, -1, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*g = -568*g + 540 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 11*g + 4. Let f be q(-8). Let h be (f\/25)\/((-2)\/10). Let a be ((-5)\/3)\/(h\/(-12)). Sort 3, -2, a in increasing order.\nAnswer: -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(0*z + 2*z**2 + 0*z) - 2328*z**2 - 8224*z**2 + 969*z**2 - 6219*z**2 + 2147*z**2 in the form l*z**2 + u + i*z and give l.\nAnswer: -13651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide (-489660)\/(-35) + -1 - 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 88*n**2 + 114*n - 4980. What is r(-86)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 290. Let i = 4573 - 4568. Let t = h + i. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 2*a = 734, 0 = -2*a + 6. Suppose -3*u - u - z = 0. Let p = u - -314. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + 0 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 97716*k - 97713*k + 105 = 0, 3*c = -3*k + 63 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32*(-118)\/40592*(-2)\/4.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a - 24*a + 11*a. Let f(i) = -i**2. Determine f(q(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/32? (a) 0.02 (b) 5 (c) -12\/17 (d) -0.4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.05 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g**(-1\/3)*g)\/g)\/g*g**(2\/13)\/g)\/(g**(-7)\/(g*g*g\/(g*g**(-2\/13))*g)) assuming g is positive.\nAnswer: g**(350\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12443715.3 to the nearest one thousand.\nAnswer: 12444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 871*k - 1480*k + 1190*k + (-2*k + k + 0*k)*(-9 + 2 + 2) as g + t*k and give t.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -19.542 (b) 6\/5 (c) 3\/5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-12)*(-45)\/10 - -1. Let k = -4.19 - -0.19. Which is the second biggest value? (a) 0.4 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 124 and 10.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -4, 2\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 7*n**2 + 73135*n + 62682 = 0?\nAnswer: -10447, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c**5 + 0*c**3 - 1\/420*c**7 - 1\/120*c**6 + 0*c**4 + 0 + 0*c - 19*c**2. Suppose r(l) = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3664.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3773 = -4*m, 2 + 6 = -4*m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - g**4 - 2*g**2 + 3*g**4 + 0 + 5*g**3 - 3*g**3 in the form u*g**4 + x*g**3 + t*g**2 + l*g + o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*a + 61*a**2 - 58*a**2 - 866*a - 1465*a to s + i*a**2 + n*a and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0*j**2 + 4*j**2)*(0 + 0 + 6*j) - 10*j**3 - 21*j**3 + 24*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(52)\/(sqrt(40)\/sqrt(90)) + 3 + (sqrt(156)\/(sqrt(12) - sqrt(192)*-2))**2.\nAnswer: 256\/81 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56*(-9)\/(-162))\/(-2*3\/27).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let o(h) = -4*h + n*h + 3*h. Let p(f) = -3*f**2 + 1 - 1. Calculate o(p(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + (7378 - -1) - (-171)\/57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 37 = 4*t, y = 214*t - 211*t - 2 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 155180012?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21112010100 + 12?\nAnswer: -21112010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11881168*d. Let t(b) = 2*b. What is y(t(u))?\nAnswer: 23762336*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let j(w) be the third derivative of 3*w**4\/8 + w**2. Calculate p(j(d)).\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ea - 17?\nAnswer: d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14034448, 14034445, 14034442?\n\"Answer: -3*b + 14034451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Suppose 0 = 3*x - u + 12. Sort -5, -2, x in ascending order.\nAnswer: -5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + 9. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 561450196 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3 - -3 - -24) + -10 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - m = 4, n - 8 + 2 = -m. Suppose 6 - n = -w. Let v be (-1 - 0)*(-2 + 1). Put v, w, 3 in increasing order.\nAnswer: w, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2963 + -2019. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 69, 233, 557, 1095, 1901, 3029, 4533?\n\"Answer: 9*k**3 - k**2 - 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 21220?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 - 57 = 98*t + 247 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 13) in base 9?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3654141 is divided by 1464.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 9. Let l(r) = -3*r + 26. Let h(z) = -3*l(z) + 8*s(z). Let k be h(8). Let n = k - -9. What is the lowest common multiple of n and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c - 4*c)*(c - 4 + 4) + (-3*c + 62*c - 4*c)*(c - c + c) + 3*c**2 - 2*c**2 + c**2.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 - -3.86539?\nAnswer: 3.94539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*j - 2 = 2*p, -3*j + 4 = 2*p. Find the first derivative of p*z - 5 + 1 - 3*z wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -9. Let b(h) = -h**2 - 9*h - 3. Let f be b(-9). Which is bigger: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -13, -16, -1, -5 in decreasing order.\nAnswer: 39, -1, -5, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 242421503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-1 - -2) + (-15)\/5. Suppose k*n + 3*b = 1, -2*b + 5*b + 5 = n. Let u be 1 + 1*(1 + 6). Solve -n*z + 0*z + u = 0, c - 5*z + 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.206 - -0.136. Let k = 0.07575 + s. Round k to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 11) to base 14.\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + (-30 + 2 - (473 + -474))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 1134 = a. Calculate the lowest common multiple of 20 and a.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49bdc (base 15) to base 5\nAnswer: -30014212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296354 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnicnicivnnncc. What is prob of picking 1 i and 2 c?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, 1804, 2828, 3910, 5050, 6248, 7504?\nAnswer: 8818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(140\/(-6223)) - 3\/(-4) is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.695892 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85650 = 1539*z - 94413 for z.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.54143 less than -4?\nAnswer: -1.45857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1355 - 2123?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 525 + -524.9. Let x = 567\/5 - 113. What is the closest to n in 2\/9, 4\/3, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 173 = 107. What is the greatest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/612)\/((-104)\/(-1872)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p + 3*p)*(0*p**3 - 3*p**3 + p**3) - 4*p**4 + 2*p**4 + p**4 + (-p - p + 0*p)*(-3 + p**3 + 3) - p**4 + 0*p**2 + 0*p**2.\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 32. Solve 4*k - 2*t + s = -3, 0 = -3*k - 2*t - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781537 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*i + 12, 4*d - 2*i + 4 = i. Suppose -15 = -10*l + 5*l. Solve -d*y = 3*f + y, -l*f + y = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 149 in increasing order.\nAnswer: -3, -1, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-1) + (-4 - (-2288)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 29*x = 21*x - 476. What is the remainder when 4927 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, f: 2, l: 1, n: 1, z: 1}. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23064 + 23064.1. Let g = 11 + -6. Which is the nearest to f? (a) g (b) -9\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13524 and 2?\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -2. Let s = b + -11. Solve -20 = s*u - u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*m*o**3*v + g*m*o**2*v - g*o**3*v + 8*g*o**2 - 7*m*o**3*v - 2*m*o*v + 5*v wrt o.\nAnswer: -6*g*m*v - 6*g*v - 42*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 451.367 - -231810.9\nAnswer: 232262.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 35371971*q + 26568. Let f(g) = 6657*g + 5. Calculate 26568*f(z) - 5*x(z).\nAnswer: 3321*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f. Let i(m) be the second derivative of -5*m**4\/12 - 10*m. Calculate i(r(t)).\nAnswer: -245*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7336 and 230167.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**4 - 854905*t**3 - 3419540*t**2 = 0.\nAnswer: -170977, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -3)**2 - ((3 + sqrt(7))*-5 + sqrt(7)).\nAnswer: -56*sqrt(7) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -10*a - 6. Let s(n) = -8*n**3 + 6*n + 6. Let u(h) = 17*h**3 - 13*h - 13. Determine a*u(m) + 13*s(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -75, 0.5, 0.2, 1\/3, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:56 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 816*d = 814*d + 12, 0 = -5*h + 3*d - 18. Let v(s) = -s**2 - 13*s + 14. Calculate v(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-23)\/(-2))\/((-1)\/(-4)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 23. Suppose 3*f = 2*f + w. Let b = 21 - 8. What is the remainder when f is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462177215 to the nearest integer?\nAnswer: 21498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 7. Let c(u) = 22*u. What is c(v(a))?\nAnswer: 88*a**2 - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c - 2*c)*(2*c + 0 + 0) + 101*c - 101*c - 9*c**2 + c - 2*c**2 - c.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 144 = -5*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) + -1)*-4 + 5)**2.\nAnswer: -1728*sqrt(3) + 27729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87266 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqh when three letters picked without replacement from keqkh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 128*i**6\/15 + 89*i**3\/6 + i + 115. Find the second derivative of v(q) wrt q.\nAnswer: 3072*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-8) + 6798\/24 + -5 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258675633 to the power of 1\/2, to the nearest integer?\nAnswer: 16083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*i - 9 - 13, -4*s + i = -13. Suppose m + 2 = -s. What are the prime factors of -2 + 1 + m + 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + 9\/7. Suppose 2 = 2*u + f + 9, -s = -f. Let d be 3\/6*u + 5. Solve -2*y + 29 = -5*w, 0*w - d = -w - 4*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + 437. Let i = m - 53. Suppose 0 = -5*p + i + 31. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s - 7 = -143. Suppose 0 = -0*o - 5*o + 10. Let j(r) = -12 - s*r + 2*r**2 + o - r**2. Calculate j(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) -1\/5 (b) -2\/9 (c) 4443\/2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -282 + -30164?\nAnswer: -30456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3788 and 7576.\nAnswer: 7576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - r - 12 - 5, 3*l = 4*r. Suppose 3*h + 30 = 5*x, l*x + h = -3*h + 24. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**9\/30240 - o**8\/4032 - o**7\/1260 - o**6\/180 + 4*o**5\/15 + 3*o**2. Let s(m) be the third derivative of w(m). Give s(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 831565724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 182\/13*(-7 - (-2 + -2) - -7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1039 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from olw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -4*s + 5*b, 4*s - 265 + 37 = 4*b. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose -2*s - s = t. Is (6\/5)\/(s\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/920 and -97\/126040.\nAnswer: 126040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r + 9. Let i be q(-3). Let f = 61 + i. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153920\/(-10764))\/74 - 2\/(-9)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -424\/4867 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 221573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) - (26\/(-12) + 1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -368\/57 or 18149?\nAnswer: -368\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 11:27 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 81945, -2, 2\/5, -3.\nAnswer: -3, -2, 1\/4, 2\/5, 81945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t + 2*t**2 + 0*t - t**2 + 0*t + (t - 3*t + 0*t)*(-2*t + 4*t - 3*t) + 2*t**2 - 2*t**2 - 3*t**2 + 29*t**2 - 15*t**2 - 21*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from zzzoozoooozz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 13 = 2*u. Suppose -5*z - 55 = -u*i, -z - 107 = -3*i - 31. Calculate the remainder when 48 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.2 + -1.2. Let z = -869 - -866. Let q = -64\/3 + 22. Sort z, q, b, 4 in decreasing order.\nAnswer: b, 4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16b748 (base 14) to base 10\nAnswer: 799940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0*j**2 - 1\/10*j**5 - 1\/12*j**4 + 1\/6*j**3 + 0 - j. Let r be n(1). Are 1 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 309.9 + -309.9007273. What is j rounded to five decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7828781 millilitres in litres?\nAnswer: 0.0007828781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40691*f**4 - 3877*f**3 + 585*f**2 + 95070*f?\nAnswer: -976584*f - 23262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177941 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -6 - -3) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*l + 11, -2*i + 0 = 4*l - 14. Let d be (-16)\/10*i\/(-2). Let g(m) = m**2 + 2*m - 6. Give g(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 2*g + 1. Let a be i(-1). Let p(c) = 8*c - 10 - 8 - 2*c**2 + 5 + 3*c**2. Let u be p(-10). Solve -3*b + y - u = 0, 4*y - 6*y = a*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*l**5 - 556*l**5 + 9*l**5 + (4 - 3 + 1)*(-9*l + 2*l - 4*l)*(5*l**4 + l**4 - 5*l**4).\nAnswer: -591*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:09 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2187) - (sqrt(2187) + -2) - (3*sqrt(243) - sqrt(243)))*3*4 + 3.\nAnswer: -141 + 1296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -28 + (-4 - -2) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 36 = 2*o. What is the lowest common multiple of 16 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10439 divided by 13.\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192459018 to the nearest integer?\nAnswer: 13873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 24 (c) 897316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + -1876.444?\nAnswer: -1876.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(-3*10\/180).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1330020231032?\nAnswer: 1330020231103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:50 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -83 (c) -0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, u: 4}. Give prob of sequence uuur.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**2 + 1019475*i + 1019480 = 0.\nAnswer: -1, 203896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sissiisssiisii. Give prob of picking 2 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 7*r + 10. Calculate j(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -413, 3\/2, 0.5, -3, 1\/8 in decreasing order.\nAnswer: 3, 3\/2, 0.5, 1\/8, -3, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/30 + z**4\/24 + 2*z**2. Find the second derivative of a(j) wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/(-462)*3*(-8)\/4. Solve 6\/11*p**2 + 0*p + 2\/11*p**3 - i = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29192416.\nAnswer: 2, 11, 239, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -102? (a) -5 (b) 0.1 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5940)\/1008 - (-1)\/(-4) and 68\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (14 + -5)*2\/1 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185 - 55 + 7043*l - 7042*l)*(0*l - l + 6*l)*(-6 - l + 6).\nAnswer: -5*l**3 - 650*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/(120\/(-180)). Which is the closest to 0? (a) 8 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/3 - 31910*h**3\/3 + 31916*h**2.\nAnswer: -2*h**2*(h - 3)*(h + 15958)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-37)\/(-74)*-26 + 13. Let j be (1\/(-2))\/((-1)\/2). Solve -z + j + f = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133290?\nAnswer: 2, 5, 113329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-16) + 390\/48. Suppose r + m = 10699, 0 = -s*m + 13*m - 25. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*u - 14, -4*u + 0*u = -4*z + 32. Suppose -49 = z*b - 314. What is the remainder when b is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42585627 divided by 4\nAnswer: 42585627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 12:53 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 4*y. Let t be u(4). Suppose -2*p + 6*p = t. Suppose 0 = -p*x + 4*x + 8. What is the smallest value in x, -4, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p. Suppose t + 2*r - 57 = -p*t, 3*t = 3*r + 171. Suppose -2*a = -3*z - 0*a + 68, -a = 2*z - t. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -55 + 55 + 0*g - g. Let i(k) = 2*k. Calculate i(v(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81.8 - 69.8. Let s = 3164\/17 + -186. Which is bigger: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 1038. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4496916 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -29*m**2. Let s(v) = -2256*v. What is i(s(b))?\nAnswer: -147596544*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 6. Suppose -v + 52 = 5*q. Suppose 12 + q = w. Calculate the greatest common factor of 198 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -6, 0.02, 0.075, 0.2, 165.75?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*f**3*t*w**2 - 4*f**3*t + 3*f*t*w - t*w**2 - 4*t wrt w?\nAnswer: -106*f**3*t - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1010033223 (base 4) to base 10\nAnswer: -279531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4536881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 342929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72\/307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1494*k + 10447. What is l(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108240 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-8)*(-1)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18748 (b) -2 (c) 0.1 (d) 1\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u + 123. Let j be d(29). Let m be 102\/459 + 31*j\/36. Let f = -8 + 10. Put 0, f, m in decreasing order.\nAnswer: m, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.45 + -0.4. Let d = m + -5.05. Let g = 6 + d. Does 0.1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvvhhvhhhhh. Give prob of sequence hhv.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -77193188184447 and 0.3.\nAnswer: -77193188184446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(81) - sqrt(9))\/(-4*sqrt(9)\/sqrt(3)))**2 + ((sqrt(3) - (-3 + sqrt(3) + sqrt(3) + sqrt(3)))*5 + -2 + sqrt(3) + -2)**2.\nAnswer: -198*sqrt(3) + 6187\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 283, 286, 291, 298, 307, 318, 331?\n\"Answer: x**2 + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11814834 is divided by 6160.\nAnswer: 6114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24590.4 + -24590. Let l = -7 - 13. What is the closest to 0 in l, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + (-2)\/(-4) + -5. Suppose -3 = -3*m - 15. Does m = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/42 - 511\/(-336). Sort -0.3, j, -2\/13 in increasing order.\nAnswer: -0.3, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/90*-3)\/(12\/300*190)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g + x - 65 + 16, 17*g - 5*x + 2*x + 147 = 12*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2. Suppose -3*o + 5 = 2*w, w - 4*o + 4 = 12. Let m be n(w). What is the units digit of (-1)\/((-3)\/15 - m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1\/15*m**4 + 4\/15*m**3 + m**2 + 0 + 1\/150*m**5 - m. Let s(v) be the first derivative of u(v). What is i in s(i) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let a(o) = 5 + 3 + 20*o - 8. Determine q(a(y)).\nAnswer: -800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/3*15\/10. Let r be (1\/(-3))\/(j\/48). Suppose 5*l + 45 = r*p, 2*p - 4*l = 6*p. Solve -15 = -p*s + 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 29*j - 186. Give f(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 237\/12)\/(128\/512)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/4*(-489)\/(-2282)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 10 + 5. Let k(o) = o + 5. Let v be k(l). Let g(p) = p**3 - 4*p**2 + p - 4. Let b be g(4). Solve -v = -b*j - 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4620 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3086*h**3 - 92*h + 1561681?\nAnswer: -9258*h**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.198, 1, 166, 0.1, -3\/4 in ascending order.\nAnswer: -4, -3\/4, 0.1, 0.198, 1, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u**2 - 1. Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b. Let o(n) = -53*n**2 - 3*n. Give d(o(f)).\nAnswer: 265*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3043 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -35. Let q = 59 - p. Calculate the greatest common factor of 115 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-201)\/180 + (-4)\/30. Suppose 14 = -5*a + 4*k, -4*k = -0*a - 2*a - 8. Put -4, a, b in ascending order.\nAnswer: -4, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 8*l**2 - 110 + 27*l - 2*l**3 + 108 - 2*l**2 - 7*l as g*l**2 + n*l + r + h*l**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*q = 0, 0 = w - q - 2*q + 4. Put 0, w, 3, -4 in ascending order.\nAnswer: -4, w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 9*r + 1. Let j be y(9). Let i be 12\/(-3) + (j - 2). Let n be (-8)\/i*(-5)\/(-10). Which is the third smallest value? (a) n (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/196 in 2, 3, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 712, 2198, 5052, 9730, 16688, 26382?\nAnswer: 39268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Suppose -5*s + 2*u + 15 = o, 0*s + 2*s + 13 = -3*u. Is (s - -230)*1\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22942895 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -226 - -228. Let l(k) = -k**2 - 8*k - 7. Let s be l(-6). Let o(t) = t**3 - 6*t**2 - t + 7. Let n be o(6). Put b, s, n in increasing order.\nAnswer: n, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1881*p**2 - 1. Is 8 a factor of c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2780.03147876 plus -0.086?\nAnswer: -2780.11747876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 13*t**3 - 46*t**2 + 48*t.\nAnswer: -t*(t - 8)*(t - 3)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*k**2*s**2 + 3*k**2*s + k*s**2 + 111*k*s + 4*k + 4*s**2 wrt s?\nAnswer: -102*k**2 + 2*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 14*i**2 + 20*i - 51. Let j be s(15). Let v be (-4)\/(-4 + j\/9). Suppose -2*d + 2*g - 76 = -4*d, 4*d = v*g + 187. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 167, -68, 8, 7 in descending order.\nAnswer: 167, 8, 7, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**7\/1260 + m**6\/1620 - m**5\/180 - m**4\/108 + m**3\/6 - 3*m. Let h(q) be the second derivative of x(q). Factor h(p).\nAnswer: 2*(p - 1)*(p + 1)*(3*p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 - 90*i**3\/7 - 138*i**2 + 1058*i\/7.\nAnswer: -2*i*(i - 1)*(i + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(7\/(-126)*-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -u, -3*u + 7*u = -4*y. Let g be 9\/3 - (-23)\/(-7). Is g less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -141*h**5\/4 - 7749*h**4\/4 + 471*h**3\/4 + 7749*h**2\/4 - 165*h\/2 = 0.\nAnswer: -55, -1, 0, 2\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 8*h - 10*h - 43*h**2 - 4 + 5*h - 2*h to n*h + m*h**2 + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30133654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10794 = -11505. What is the remainder when g is divided by 108?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.71 + 8.267. Let h = o - 0.235. Round h to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13046 + 13046 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 2*p**2 - p - 2. Let k be z(2). Solve -k*d + 9 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 84*c**3 - 27*c**2 + 27. Let n(m) = 12*m**3 - 4*m**2 + 4. Give 27*n(p) - 4*u(p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 4:47 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 142, 208, 276?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + h - 3*h - 2*h to w + z*h and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 p(v) = v**3 - 6*v**2 - 3*v + 4. Determine p(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -17*o**3 + 5*o. Let r be ((-32)\/(-24))\/(1\/3) - -1. Let l(j) = 9*j**3 - 2*j. Let s be 5 - (6 + 5) - -12 - 4. What is r*l(c) + s*b(c)?\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -19. Suppose -5*l + u*l = 0. Let n = -136 + 131. What is the nearest to l in -2\/3, n, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w + 160*w + 293 = -39*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -71 + 64 + 1 + (3 - -1) + -23.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26542 - 7962593\/300. Let k(y) be the third derivative of -1\/24*y**4 + 0 + 1\/30*y**3 + c*y**5 + 3*y**2 - 1\/200*y**6 + 0*y. Solve k(m) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5 plus 5.95826?\nAnswer: 0.45826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 4*g**2 - 8*g**2 - 7*g**2 - 2*g**2 + (1 - 2 + 0)*(2*g**2 - 3 + 3) to the form p*g**2 + a + t*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + 0 + (518 - 546).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -85*k + 46. Let r(v) = -19*v + 12. Let t(a) = 2*i(a) - 9*r(a). Suppose -y + 2*h + 10 = 0, h - 15 = 4*y - 41. Calculate t(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b - 1. Let t be i(1). Let z = t + 6. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1934847860162 + 1934848363863.0600098. Let i = -503701 + m. Let f = i - 0.06. Round f to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 4*h**3 - 1 - 35*h**2 + 3 + h**4 + 32*h**2 to the form b*h + i*h**2 + s*h**4 + l*h**3 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574873208?\nAnswer: 2, 3, 83, 263533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188854 is divided by 346?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 51 - 17*c - 8*c - 105.\nAnswer: -25*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 41237712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 588472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haiiiccihiiicccacai. Give prob of picking 1 h, 1 c, and 2 a.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*n - 13130 = 0, 3*u - u - 8765 = -n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2 = 2*y - x, 6 = -2*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172552340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3315715568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2142 - 3188 - 4432 = -498*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*4\/((-20)\/(-5)))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/56*-7*((-234)\/(-315))\/13.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 15306?\nAnswer: 107142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -180*a. Let w(h) be the third derivative of 0*h**3 - 35 + 0*h - h**2 - 1\/12*h**4. Give i(w(v)).\nAnswer: 360*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -54. Suppose -2*x - 2*p = -d, -x + 2*p - 5*p + 6 = 0. List the prime factors of x - 0 - (120 - 0)\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 2, y: 1, s: 1, b: 2, a: 1}. What is prob of sequence abff?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 114*v - 606. Calculate u(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.4, -3\/23, -0.07, -1.7?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -z + 3*r, z - 17 = 2*r - 19 - 23 + 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.00939 - -4.00939. Which is the nearest to -11? (a) 1\/19 (b) 2\/15 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 110 = 12*h. Let v = h + 57. What is the units digit of 72\/15 + v\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/77650 and -11\/24358805.\nAnswer: 243588050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32096 = 893*z - 6476*z - 40483 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0.2 (b) -79 (c) -12 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d. Let j be f(1). Let c(h) = -51127*h - 1648 + 1659 + 51132*h. What is c(j)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, x: 2, s: 1, t: 4, b: 1}. What is prob of picking 2 i, 1 s, and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17465.\nAnswer: 5, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u**4 + 7*u + 10. Suppose 5*o + 15 = -20. Let a(t) = -4*t**4 + 2*t + 3. Let r(b) = o*a(b) + 2*h(b). What is the derivative of r(p) wrt p?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32500)\/6)\/(290\/(-144) - -2). Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36357, 36322, 36271, 36210, 36145?\nAnswer: 36082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -89. Let a(z) be the second derivative of z**5\/20 - 7*z**4\/12 + 4*z**3\/3 - 7*z**2\/2 - z. Let l be a(6). Sort -3, l, u in ascending order.\nAnswer: -3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.27 from -803156021.\nAnswer: -803156020.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13044539?\nAnswer: 13044539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:06 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*2\/(-3). Is 3\/605 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2065 or 2000?\nAnswer: 2065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*j - 5317*i + 5316*i, 0 = -4*j - 2*i + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005 + 1807*k + 1006 - 2015.\nAnswer: 1807*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938*s**2 - 948*s**2 + 28*s + 1922*s**2.\nAnswer: 36*s**2 + 28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 5:25 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a*a\/(a\/(a\/(a**(1\/3)\/a)))))))**28)**(-40) assuming a is positive.\nAnswer: a**(5600\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8810, -17626, -26442, -35258, -44074?\nAnswer: -52890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f + 1. Let t be h(4). Suppose 44 = 3*w + 2*v - 4*v, -3*w + t = 5*v. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Suppose 4*h = -3*x + 4, 5*x = 4*h - 4 - 0. Suppose x*s - 18 = -c*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, -19, -80, -197, -388?\n\"Answer: -3*z**3 - z**2 + z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812\/715 != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/2, -7.7, 3.45?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6826, -6854, -6882?\n\"Answer: -28*h - 6798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-4))\/(25\/(-4)*(-683)\/17075)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42135044401292 + 0.1.\nAnswer: -42135044401291.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1497 + -0.8503. What is the nearest to -1\/4 in 1, 3, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173815\/2154626852 - 3\/119908. Is o greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/(-210) + (-32)\/336?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.1188m to centimeters.\nAnswer: 9211.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70500 and 4.\nAnswer: 70500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l + 5*l - 3*l - 4 - l + 4 + (0*l - l + 2*l)*(-4 + 3 - 1) in the form t + i*l and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1213 greater than -1209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 4*v + 3. Let x = -29 - -19. Let f(h) be the second derivative of h**4\/12 + h**3\/3 - h**2\/2 - 11*h. Let g(q) = x*f(q) - 4*k(q). Factor g(j).\nAnswer: -2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -387, -388, -389?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/11)\/((128\/(-8))\/(-8)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383674971 - -383666568.92859. Let f = r + 8402. Let m = -0.072 - f. Round m to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*v - 0*k + 10, 0 = 4*v + k + 5. Suppose -5*t + 4*x = -375, -3*t + 2*x - x + 232 = v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -92\/7, -5, -1\/5 in increasing order.\nAnswer: -92\/7, -5, -3, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) -1\/4 (b) 4 (c) -0.7 (d) 4\/5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1360)\/(-32)*(-4)\/22. Let o = k + 403\/55. Which is the second biggest value? (a) o (b) 3\/5 (c) -4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 4, -5306, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/(t**(-3)\/t*t))\/(t\/t**(2\/9)*t*t*t\/t**(-1\/3)*t) assuming t is positive.\nAnswer: t**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 25 = -4*k. Suppose -k*x + 1257 = -683. Suppose 5*i - s - 264 = 0, 5*i + 5*s + 148 = x. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 159?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + n - 4*n)*(2*n - n - 3*n) + (1 + 21*n - 1)*(-62 - 51 - 1)*(-5 - n + 5) as c + l*n**2 + m*n and give l.\nAnswer: 2398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 6:18 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 70*t - 1232. Determine b(-34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 459 and 51?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 799298.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-6)\/663*((-21307)\/(-132))\/(-149))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aa + d?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 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: Let j(m) = -m - 10. Let x be j(-13). Suppose 0 = x*q - 75 - 3. Solve -5*n + q = 3*s - 4, n - 2*s + 7 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = 5*p - 12, 5*p + 2*b - 22 = 0. Suppose 0 = -q - p*q + 245. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -50. Solve 4*r + t = 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = t + 23. Suppose t*s - 4*k - 16 = -2*k, 3*k = -s - 4. Suppose s*f = -26 + 156. Which is bigger: f or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 6*y + 12. Let b be l(-2). Find the second derivative of 0*t**4 - 6*t**b - 9*t + 40*t**4 - 38*t wrt t.\nAnswer: 408*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -3 + 27. Factor 0*o**h - 2*o**4 + 9679 - 9677 - 4*o**3 + 4*o.\nAnswer: -2*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 21 + 50 = 7 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/l)\/(l**(4\/7)*l) assuming l is positive.\nAnswer: l**(-47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-5)\/(-4) - 1). Let q = 2 + 3. Which is the nearest to -1\/2? (a) 2\/9 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-600)\/322) + 1215\/(-1458). Which is the nearest to -0.2? (a) h (b) 8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153561, -153581, -153603, -153627?\nAnswer: -153653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 11 - 53. Suppose -2*b - b - 30 = 0. Let j = -6 - b. Solve 3*m - m + j*v - 20 = 0, 4*m - r = -2*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (18\/3 - 0). Suppose 2*i - 4 = 0, 3*m - 4*m - 3*i = -8. What is the derivative of -4 + h - 1 - 1 - 5*x**m wrt x?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -178201 (c) -8 (d) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, 3\/7, -4, 1635 in increasing order.\nAnswer: -4, -1, 0.2, 3\/7, 1635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/(-7)*(60\/312*13)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 6*t**2 - t + 2. Let r = -764 + 767. Determine k(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 4:21 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3226 + -4554. Let l = -1328.000539 - w. What is l rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28940780 by -239180.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiucccuc. What is prob of sequence ucc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6))**(-4\/5)\/(m\/m**(-15)*m**14) assuming m is positive.\nAnswer: m**(-448\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*m + 161029 - 919988. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.6. Let u = 33.5 + -33. What is the third biggest value in u, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3\/2 - 795*h**2 + 38853*h\/2 + 475335 = 0?\nAnswer: -15, 42, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -56 (c) -0.2 (d) 4\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 2*p**2 - p + 24. Determine a(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 4*u + 5. Let y be i(-4). Suppose 0 = -5*r + y*r - 2*r. Solve r = -z - 1 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3023 - 3019. Solve u*y = v + 13, 0 = -3*y + 3*v - 8*v - 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 41 = -131. Let o = d - 32. Let k = o - -27. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/58478 and 16\/137841.\nAnswer: 1929774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -332\/54387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1145.72 - -6.72. Let r = b + 1112.94. Let y = -26 - r. Round y to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2093 + -2109. Is i greater than 0.075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1297 - -1337. Sort -6, x, 4, 3.\nAnswer: -6, 3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45 - 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -186? (a) -4 (b) -5\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*f + 2*x - 3*x, 5*f = 3*x + 17. Solve f*i = -j - 0*i + 21, 5*i = -j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-33)\/22*743*(-18)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424152 and 568116.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2318*i = -4686*i + 2344*i - 48 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 1, 0, 0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - j - 7 - 8 = 0, 5*f + 25 = -j. Suppose -10*w + 11*w + 22 = -g, -4*w = g + 34. Put g, -2, f in ascending order.\nAnswer: g, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -460*r + 483*r - 485 + 140 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 98.1. Let d = p + -15. Which is the smallest value? (a) d (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 - (-46 - (240\/(-30) + -15))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1700) - sqrt(1700) - sqrt(1700)) + (2*sqrt(17) - sqrt(17))*2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61090.4 rounded to the nearest one hundred?\nAnswer: -61100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 1, k: 4, o: 1, p: 2, l: 2}. What is prob of picking 2 l and 2 e?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2 + 1. Let r be b(-1). What is the second derivative of -l**2 - r*l + 9*l**2 + 9*l wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 513*u - 985. Let p(f) = -428*f + 984. What is 5*d(n) + 6*p(n)?\nAnswer: -3*n + 979","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8151 + -0.1849. Sort -0.24, -1, 3\/4, u.\nAnswer: u, -1, -0.24, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + o = -42, 3*k - 10*o + 13*o = 24. Sort 0, 45, k, 4 in decreasing order.\nAnswer: 45, k, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-16))\/(11421\/30456)*(27*-1)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n + 487. Let y(k) = -2*k + 1. Calculate q(o) + 6*y(o).\nAnswer: 2*o + 493","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3117337529440882.00000072 - 3117337710773927. Let v = l - -181333019. Let q = -26 - v. Round q to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (0 - (-71050)\/(-80)). Let g = -893 - u. Solve -1\/2*l + g*l**3 + 3\/8*l**2 - 3\/2 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 24. Let g = z + -15. Let l(k) = 4*k**2 + 2. Let w(f) = 2*f - 2*f - 3 - 7*f**2. What is g*l(q) - 3*w(q)?\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 50 = 5*c - 93, 3*q + 2*c - 158 = 0. Let s = 25 + -6. Suppose b - q - s = 0. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-15)\/(-54)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 5\/8*k**4 + 0 - 1\/60*k**5 - k**2 + 5\/3*k**3 + 0*k. List the prime factors of d(15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -119, -139, -169, -209?\n\"Answer: -5*g**2 - 5*g - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*o + 1 = -58*o + 4*x + 2*x - 2*x, 3*x = 7*o + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/116 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -104076, -104077, -104078?\n\"Answer: -j - 104075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-38)*-1*(-86)\/129.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -22, -15, -10, -7, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 - c**3 + 1 - 3 - 2 - c. Let g = 224 - 231. Let k(v) = -3*v**3 + 13*v**2 - 4*v - 13. Let h(b) = g*x(b) + 2*k(b). Factor h(r).\nAnswer: (r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4478027, -8956052, -13434077, -17912102, -22390127, -26868152?\n\"Answer: -4478025*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2407, 4828, 7249, 9670, 12091?\n\"Answer: 2421*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -0.4.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000218454 to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (22 - (-26 - -81))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*r**3 - 2*r**5 + 5*r - 11*r**3 + (5*r**2 - 2*r**2 - 2*r**2)*((0*r**2 - 4*r**2 + 3*r**2)*(0 + 2*r + 0) - r + r**3 + r).\nAnswer: -3*r**5 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-990)\/27)\/(-11)*12\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, 0, 5, -3, -134 in ascending order.\nAnswer: -271, -134, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 29. What is the third smallest value in g, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*k**4*u + 4*k*u - 1807*u with respect to k.\nAnswer: -88*k**3*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 44804280.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2 + 27883*j + 773257 wrt j.\nAnswer: 6*j + 27883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f + 95. Let p be d(-5). Solve 4*g = 5*x + 20, 2*x - p = 7*x + g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45292147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -46?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 6:55 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*g = -7, -m - 5*g = 384 - 397 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + -4 - (4 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let b(i) = 150*i**2 - 72*i**2 - 60*i**2. Calculate w(b(p)).\nAnswer: -324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 + -7 - -4)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 136 = -64. Let z be -1 + d + 24\/(-12). Round z to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10916*j**2*n - 2*j**2 - 19*j*n - 6928*j - n - 22 with respect to n.\nAnswer: 10916*j**2 - 19*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 112, 170, 228, 286?\n\"Answer: 58*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-4)\/((-64)\/108). What are the prime factors of (-218)\/(-9) + 6\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 93\/2 (c) 0 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 54695607\nAnswer: 109391214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 193817, 775725, 1745575, 3103373, 4849125, 6982837, 9504515, 12414165?\n\"Answer: v**3 + 193965*v**2 + 6*v - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-20))\/u*u**(-7\/4))**(-42) assuming u is positive.\nAnswer: u**(1827\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 760893224169+-0.03\nAnswer: 760893224168.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:02 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 0.1268?\nAnswer: 2.1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -864 divided by -4\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 - 3*f**4\/4 + 5*f. Find the third derivative of x(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256b3 (base 12) to base 2\nAnswer: -1100011110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 1, c: 8, r: 2}. What is prob of picking 1 c and 1 m?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 1776*w**3 + 240592*w**2 + 9647232*w + 118026496.\nAnswer: 4*(w + 28)**2*(w + 194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13 = -0. Suppose -4*h + 132 = -4*y, -h + 16 = 3*y - v. What is the greatest common factor of 288 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2189*q + 2194*q = 150. Put 4, 2, q in descending order.\nAnswer: q, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2221010 (base 3) to base 5\nAnswer: -32021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 1, -2, -1, 4?\n\"Answer: 2*k**2 - 13*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 + -0.304633424.\nAnswer: -0.474633424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2635 + 13?\nAnswer: -2622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -33. Let x = -5 - h. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528640842.\nAnswer: 2, 1543, 495347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)*h)\/(h\/h**(-2\/3)*h))\/(h**(-2\/3)*h**(1\/5)*h))\/(h**(-3\/5)\/h**(1\/2))**(-14\/5) assuming h is positive.\nAnswer: h**(-232\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 210 = q + 4*q, -5*o = -4*q - 201. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10129, 9823, 9025, 7489, 4969, 1219, -4007, -10955?\n\"Answer: -41*c**3 - 19*c + 10189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5019742\/9 + -557748. Factor -i*y - 8\/9 - 2\/9*y**2.\nAnswer: -2*(y + 1)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 4, 14, 28, 46, 68?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 146*k. Let l(p) = 38*p + 24. Let s(o) = 34*o + 20. Let w(r) = 5*l(r) - 6*s(r). What is c(w(x))?\nAnswer: -2044*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2*x**3 - 2823681*x**2 + 2823681*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 919581 and 6783?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2323605, -6.\nAnswer: -6, -2, 2323605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -14 - (-8 - 0) - (-4 - -2)) + 4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 7*n**2 - 5*n + 2. Let a be q(-6). Let u be a\/6*(-18)\/4. Suppose -4*j - b + 18 = -u*j, 3*b = 2*j - 11. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - q + 9*q**2 + 25*q**2 + 0*q - 4*q**2.\nAnswer: 44*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9*l = 5*l - 20, l = 4. Suppose 5*p - 16 - 79 = 0. Let x = n - p. Put 3, x, -5 in descending order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -0*q - 3*j, 3*q = -4*j + 12. Suppose q*r - 4 = 8*r. Let y(z) = 14*z**3. Calculate y(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i**2 - 7*i**2 + 5*i**2)*(-i + i + 2*i**3).\nAnswer: -4*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 50 = -5*q, -3*o = -2*q - 11 - 15. What is the tens digit of (-5)\/o - 65\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 + 160*a + 69. Let i be q(40). Let x(h) = h**3 - 2*h**2 + 3*h - 3. Let f be x(2). Calculate the highest common divisor of i and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/2 (b) 18 (c) -2\/9 (d) 0.2 (e) -2 (f) -35 (g) -1252\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 883 - 871 - 6*i**2 - 18*i + 0*i**3 + i**3. Let z = 17 - 5. Let c be b(z). Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362152997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 52, 76, 98?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2\/11))**(-1\/12))**(-16) assuming m is positive.\nAnswer: m**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/(-70) - 16\/(-56). Sort -2\/7, f, 4\/5 in descending order.\nAnswer: 4\/5, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9879179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -49232 divided by -136\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -x + 5*x. Suppose -40*o - 39 = -5*h - 44*o, 4*h - 2*o = 0. Let f be 1\/(-2)*h\/(x\/(-7120)). What is f rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 14. Let k be u(-14). Let v = k + -31. Put -2, v, -1 in decreasing order.\nAnswer: -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 45*n**2. Let g(u) be the third derivative of -u**5\/120 - 31*u**3 + 81*u**2. Let q(a) be the first derivative of g(a). Calculate o(q(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3495 + 13587. What are the prime factors of b?\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 10) to base 13.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2. Let j(n) be the third derivative of n**7\/840 - n**5\/15 + 10*n**2. Let u(q) be the third derivative of j(q). What is u(o(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -20*b**3 + 2*b - 1. Suppose -7 + 1 = 3*m. Let p be v(m). Suppose -5*l = -2*c + c - 775, 4*c - p = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*4\/8)\/((-3)\/2). What is the remainder when (-74)\/(-20)*f*-5 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9121 + -200715\/22. What is the common denominator of i and -19\/770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 235361 in decreasing order.\nAnswer: 235361, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3118632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48794481 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = -u, 3*u - 6*u + 2*h + 9 = 0. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3513297 is divided by 19627?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2\/3 + 6032*w\/3 + 4016 = 0. What is w?\nAnswer: -1506, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -689.40025 - 0.3.\nAnswer: -689.70025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.83839 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -498490\/5311 or -93?\nAnswer: -498490\/5311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3, 1\/7, 3\/10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12))**19*(o\/((o**13\/o*o*o)\/o))**(-23) assuming o is positive.\nAnswer: o**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 13*w**2 + 12. Determine s(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 266*l**2\/9 + 8710*l\/9 - 8978\/9.\nAnswer: 2*(l - 1)*(l + 67)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1700 and 5100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 0.4 (b) -2\/7 (c) 25026\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Suppose 2*f - 4*f = c, -c - f + 3 = 0. Let i be -2*(9\/c)\/(-3). Let z(s) = 1 + 3*s - i. Calculate z(q(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*((g*g\/g**(-2))\/g)\/g))**(-4)\/((((g*g\/(g\/(g*g**3)*g))\/g)\/g)\/((g**(-12)*g)\/g)))**(-4\/15))**30 assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 23 = 2*b - 6*n, b - 4*n - 20 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, x: 3, g: 3, y: 1}. What is prob of picking 1 y and 1 x?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {b: 1, k: 3, z: 2, q: 4, y: 6}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*o + 66317 = 1175*o + 322*o + 22196 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.92 and 66.2.\nAnswer: 59.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 - 1147*f + 163610. Let u(g) = -22*g**2 - 6881*g + 981654. Let v(n) = -34*o(n) + 6*u(n). Factor v(a).\nAnswer: 4*(a - 286)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:09 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -17. Let u(k) = 5*k**2 - 19*k - 8. Let b(m) = -4*m**2 + 18*m + 7. Let i(g) = 4*b(g) + 3*u(g). What is the remainder when 48 is divided by i(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-2)*(-26)\/(-52)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 4*s - 3 - 3, -4*s = 2*b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.8 - -22.8. Put -4, -2.7, v in descending order.\nAnswer: v, -2.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 2*v + 1. Let s(u) = -u - 12. Suppose -3*l - 17 = -2*l + p, p = -5*l - 77. Let m = 5 + l. Let r be s(m). Determine f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/30 + 3*o**4\/8 + 17*o**3\/6 - 96*o**2. Suppose 30 = 4*h + h. Let y be p(h). Is 4\/39 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let j(k) be the third derivative of 4*k**5\/3 + 80*k**2. Determine r(j(p)).\nAnswer: 160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1 (c) 2 (d) -2\/3 (e) 15\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8250656 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4896 by 48.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p - 2603 + 2603 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 264\/((-242)\/(-11))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 8754*g - 607880. Determine l(70).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205883 is divided by 3743?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 380807717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7309, -7312, -7315, -7318, -7321?\n\"Answer: -3*h - 7306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 87\/1409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1034*o**2 + 60*o - 28. Calculate y(-1).\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24077022315 - 439164887164229\/18240. Let k = 1\/3648 + c. Let q = -37754\/9 + 4203. Calculate the common denominator of k and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 13*a**2 + 22*a**2 + 20*a**2)*(3 - 2 + 1).\nAnswer: 58*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/5 + 156*h**2\/5 + 9522*h\/5 - 9676\/5 = 0. Calculate h.\nAnswer: -41, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106453*s - 62566*s + 17352*s - 154249*s.\nAnswer: -305916*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9*n**3 + 2\/9*n**4 + 0*n + 0 + 0*n**2 = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2 + 2 - 4 + 7*l + 5. Let m(g) = -g**2 + g + 3. What is the lowest common multiple of y(1) and m(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/1127 and -106\/2415.\nAnswer: 16905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 16. Let i be b(-8). Suppose i*m - 6 = 3*m. Let f be -3 - (-76002 - (3 + m)). Round f to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/10291 and -50\/491.\nAnswer: 5052881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/12 + 7*a**3\/6 + 5*a**2 + 26*a. Find k, given that o(k) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344657897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000154 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**8\/20160 - 7*j**6\/360 - 13*j**5\/60 - 3*j**2. Let c(a) be the third derivative of x(a). Differentiate c(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 30. Let t be 38\/(f\/10 - (-581)\/(-1085)). Is t - (-2 - -3)\/(-1) - 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (5 + (sqrt(1216) + 0)**2)*-5)*1 + 4)*-3 + -3.\nAnswer: 18303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -40172.75771 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54344197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 25) + -1 + -1 + 6 + -4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 37. Suppose f - l*h = 31, 3*f - 2*h = 6*f - 71. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, n: 3, f: 6, t: 1, e: 3}. Give prob of sequence ftif.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmgo when four letters picked without replacement from {g: 5, o: 7, m: 8}?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053))**2*-6 - -2*sqrt(13)*4.\nAnswer: -6318 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2*r)\/r**0)\/(r**(-1)\/r**(10\/7)) assuming r is positive.\nAnswer: r**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -3c84?\nAnswer: -3c89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 948 - 984?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.73766 - 2.74. Round y to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Let x = -36 + 32. Let v = p + x. Sort -5, v, 5 in decreasing order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3\/7 (b) -9278 (c) 5 (d) -3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243970 - 89539 = 9*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1169 + -501. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from idiiiid?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -3, -5, -1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 = -4*t - 98, -3*t - 3*d = 69. Let y = -38 - t. Is -7 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7852\/17 + 462. Let w = 232 - 236. What is the closest to -1 in w, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46728431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74527?\nAnswer: 74527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*w + 9750 = -55*w. What is w rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37196 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1648b2?\nAnswer: 1648b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 480 = -7*g. Solve 0 = -2*q + g - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9979 divided by -712?\nAnswer: 9979\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2430*o**3 + 24*o**2 + 4*o - 6. Let u(d) = -2430*d**3 - 32*d**2 - 5*d + 8. Give 4*r(p) + 3*u(p).\nAnswer: 2430*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -52*x - 43. Give s(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -356, -5, -6, -43 in decreasing order.\nAnswer: 1, -5, -6, -43, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295975773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33790 = -26*u + 63008. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461055.3l to millilitres.\nAnswer: 461055300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + r = -3*r - 237, 0 = -2*i - 5*r + 435. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**0)*p*p)\/(p*p*p**(-1\/10)) assuming p is positive.\nAnswer: p**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 78*k + 10*k - 80*k + 3*k**2 - 4*k**2 - 7. Suppose -3*p = -27 + 9. Let u be j(p). Solve 3*o - 17 + u = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 430.0346 + -0.0346. Let m = -310 + d. Is m != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 124.2 (b) -0.05 (c) 1 (d) -2\/37 (e) 0.4 (f) -3 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9920, -30.\nAnswer: -30, -4, 9920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 312*k**2 - 954*k + 2839. Calculate a(315).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 752986*t. Let a(i) = -2*i. Give a(k(f)).\nAnswer: -1505972*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -220482 and -220674 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 82.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -742, -1376, -2186?\nAnswer: -3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7974*g + 3024*g + 588244 - 60340 = 0 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let r be ((-80)\/(-7))\/5 + -2. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -192, -800, -2030, -4104?\nAnswer: -7244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 + 8*a. Let c(y) = 58*y. Determine f(c(x)).\nAnswer: -10092*x**2 + 464*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2 - 5*m**2 + 2*m**2 + 6*m + 2*m**2. Let q be d(5). Suppose -q - 3 = -2*c. Solve 2*i + c = k, -k + 4 - 1 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -46548*i - 837880. Determine f(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o + 2*o)*(27 + 30 - 44) + 8*o - 4*o + 2 - 2*o**2 - 2*o.\nAnswer: 24*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36522, -36504, -36482, -36456, -36426?\nAnswer: -36392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -11. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 8*y**2 + 9*y - 5. Let v be d(-5). What is the third derivative of -v + 7*b**2 + 11 + 2*b**5 + 14 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 20 + 5. Suppose 2*p - 7 = q. Let d = -18 + 38. Solve -n + p*w = -16, -5*n + d = -w - 4*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 632 + 221 + 293 = -25*y for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -598936641 greater than -598936642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*u**4 + 70*u**2 wrt u?\nAnswer: 3840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026040972 to seven dps.\nAnswer: -0.0026041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18773*(3\/(-4) + 18\/(-72)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -42. Suppose 4*z = 3*z + 2*o - 11, -2*z = 3*o - 13. Let i be 0 - (-2 + 12)\/z. What is the greatest common factor of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -155 and 0.3.\nAnswer: -46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0128925 and -15.\nAnswer: -0.1933875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*g - 46. Calculate the remainder when 11\/((-440)\/(-1712)) + 3\/15 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5\/(-2))*704\/(-12)*(-5700)\/(-1520).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6228 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 + 2*p**2 + 8 + 3*p**3 - 9 + 7*p**3 - 258*p + 258*p + (-1 - 2*p + 1)*(p**2 - p**2 + 3*p**2) in the form w*p + u*p**2 + x + z*p**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 - 7*u - 4. Let r be h(-7). Let w be (-1)\/r - (-82)\/(-8). Let x = 19 + w. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*q - 404*q - 195*q + 10192 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 4*p - 3. Determine w(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37699349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1508209 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j + 24*j + 24. Let i(p) = p**2 - 6*p - 7. Let t be i(7). Let a(v) = 2 - 2*v + 3*v + t*v. Determine a(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.04, 0.2, -30?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u**3 + 32*u**3 - 19*u**3.\nAnswer: 46*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 2*d - 14*d**2 - 12*d**2 + 25*d**2 to the form p + g*d**2 + n*d**3 + v*d and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-30)*11 + 5. Let n = -1 + 2. Is n > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 5*a + 3. Let q be u(3). Let d be 3\/(9\/(-180)*-10). Sort q, -4, d in ascending order.\nAnswer: -4, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from mvmvmemvkkmkmm.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 836878455 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3\/3 - 1564*l**2\/3 - 106300*l\/3 + 35956 = 0.\nAnswer: -303, -89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 323, 451, 641, 899?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1465 + -955. What is the remainder when u is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (46 - -3) - ((-1 - -8) + 7 + -24).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 44, 10, -24?\n\"Answer: -34*c + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8063 - 8058. Solve j*m - o = -2*o - 22, o + 6 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15600\/11 + -1418. Which is smaller: -180 or t?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 271147?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*c**2 - 8204*c - 1824.\nAnswer: 2*(c - 456)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -4\/3, 5, 1.34?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.1 (b) 2\/11 (c) -2\/645 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 12*x - 27 = 8*x, 12 = 4*x. Let z(f) = -602*f**2. Let n(v) = 43*v**2. Calculate w*z(i) + 43*n(i).\nAnswer: 43*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8014*m - 520744 = -8021*m. What is the ten thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgr. Give prob of sequence gs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15021*h + 24640 = -14581*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*t**4\/19 + 562*t**3\/19 + 2842*t**2\/19 + 5262*t\/19 + 2952\/19 = 0. Calculate t.\nAnswer: -12, -3, -41\/15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -15*x - 2. Let w be m(-2). Suppose 3*l - l = w. Let j = 53 - 32. What is the highest common divisor of j and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 1. Determine m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 + 3*v - 2. Let y be (5*-1)\/((-50)\/60). Let z be q(y). Solve -2*c = -6*c + z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -645170*f**3 + 2247226*f**2 wrt f.\nAnswer: -3871020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 2. Let p be -4 + ((-42)\/147 - (-72)\/7). Let v be (-1*1*(p - 5))\/(-5). What is the smallest value in u, v, 0, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*t + v, -v = -5*t + 2*v - 4. Let o be (-828)\/(-162) - t*5. Which is the smallest value? (a) -4\/7 (b) o (c) 3\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + 4*y + (-2 + 2 - y)*(0 - 2 + 0) + 2 - 2 + 2*y + 4 - 4 - 2*y + 0*y - 2*y - 3*y)*(-3*y + 3*y + 3*y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from veghd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2 + -2 - -33. Suppose 4*k + 3*a = -1, -4*k - 13 = -4*a - s. Suppose 5*w + 2 = 5*t - 3, 4*t - k*w - 14 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48.56991 tonnes?\nAnswer: 48569910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23402328 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, 3, 652, 1911, 3984, 7075, 11388?\nAnswer: 17127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4360, -8553, -12746, -16939?\nAnswer: -21132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13016910 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-320) + 27\/(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/984 and -71\/904.\nAnswer: 111192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (342\/(-570))\/(6\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**2\/3 + 4745*f\/3 + 41490 = 0.\nAnswer: -922, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000762646 rounded to 6 decimal places?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3451*j + 16. Let c(u) = 3*u**2. Calculate o(c(k)).\nAnswer: 10353*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjojjjgjjowjgggw. Give prob of sequence wo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -94312951 != -94312951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 9*i + t, -6*i - 4*t + 8*t - 2 = -20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 24. What is i(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = s + 6. Suppose 2*l + 6 = s. Suppose -2*i + 2702 = 3*p, p + l*i - 4*i = 898. What is p rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 121 + 118 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/11 + 58*l**3\/11 - 2*l**2\/11 - 58*l\/11 = 0 for l.\nAnswer: -29, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:46 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -271, -405, -539?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2)\/5*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 154*u = 151*u + 3, 0 = 5*c - 11*u - 25 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -410 - -1231\/3. Let y(j) be the second derivative of -1\/6*j**4 + x*j**3 + 0 - 2*j + 2*j**2. Factor y(f).\nAnswer: -2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 4 in ascending order.\nAnswer: -11, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21941117 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 5, h: 3, q: 6}. Give prob of picking 1 u, 2 q, and 1 h.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 16 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sse when three letters picked without replacement from esssssssess?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2121154533.\nAnswer: 3, 89, 32693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140900 is divided by 6709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3242090879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 43*u + 4 = -v, -1 = -5*u + 2*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 125963.1 meters?\nAnswer: 125.9631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 3*r - 3 - 2 - 2 - 2*r - 7*r**2. Let p be x(8). Suppose -i + p = -31. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1811895 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -301*r**2 - 5002*r - 6. Let c(j) = 287*j**2 + 5003*j + 7. Let v(f) = -6*c(f) - 7*x(f). What is the second derivative of v(w) wrt w?\nAnswer: 770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116122?\nAnswer: 2, 58061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 5*a - 3. Let c(z) = -z**2 - 9*z - 5. Let x be c(-8). Let p be u(x). Let s = -6 - p. Solve -2*j = -5 - s, -j = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -70, 1, 2, -68 in decreasing order.\nAnswer: 14, 2, 1, -5, -68, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317981626 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.8. Let d be 0*(-1 - (-12)\/9)*-3. Suppose -4*f + d = -4*k - 32, 5*f = -5*k + 10. Which is the third biggest value? (a) r (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -106 (b) -4\/15 (c) 5 (d) -0.266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, z: 1, c: 1, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.84 and 4.949372?\nAnswer: 4.15747248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25300989 to the nearest integer?\nAnswer: 5030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.15 + -1. Let s = 0.35 - q. Which is the biggest value? (a) 1 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) -1\/3 (d) 3\/24344102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.472 - -0.392. Sort -3\/2, x, 2\/5, 2 in decreasing order.\nAnswer: 2, 2\/5, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-9))\/(448\/(-336)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 8 + 1 + (3 + 3 - 4)*(1 + 1 + 0))*(0 + 3*s**3 + 0)*(0*s - 4*s + 2*s) as n*s + w*s**4 + u + f*s**2 + q*s**3 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1447 - 2224. Let c = k - -770. Let t(j) = j**2 - 2*j - 1. Let a be t(3). Put a, c, -5 in descending order.\nAnswer: a, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124268, -124335, -124402, -124469, -124536, -124603?\nAnswer: -124670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 3*w - 3. Let q(m) = m**2 - m + 1. Let r(v) = -2*i(v) - 6*q(v). Let j be 15\/6 + (-2)\/(-4). Let y(s) = -3*s + s + j*s. What is y(r(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**3 - p**2 + 3*p + 4. Let i(q) = 4*q**3 + q**2 - 2*q - 3. Calculate 6*i(k) + 4*u(k).\nAnswer: 4*k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39770?\nAnswer: 2, 5, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 115 + (3 - 102)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3 - 640*f**2 - 1260*f = 0.\nAnswer: -126, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 71*h**2 + 19*h + 190. Is 14 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1481.\nAnswer: -1481, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Let j be 6\/4 - (-2)\/4. Let a(s) = 5*s**j - 10*s + 10*s. What is d(a(i))?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -55*n - 51. What are the prime factors of u(-14)?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*((540\/(-165))\/12)\/((-30)\/2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 14*b + 8*b = 0. Solve b*a + 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y)**24)**(-2\/93)\/((y**(-2\/7))**(-5)\/(y**2*y**(-5))) assuming y is positive.\nAnswer: y**(-1073\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.36 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -6 - (-655)\/(-95). What is the third biggest value in 1\/3, 2\/9, 3, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122833.\nAnswer: 122833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v + 4. Suppose -3 = f - 5*f + 3*o, -4*o - 4 = -2*f. Let x be -8 + 1 + 4 - (f + -2). Is 2 a factor of t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40841*q**2 + 4157 + 267523*q**2 - 4157.\nAnswer: 226682*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 15. Let m be i(11). Suppose m = 5*u - 4*l, 3*l - 10 = -2*u + 10. Solve -6 = u*b + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 1. Let o be n(-3). Let q(c) = -6*c - 3 - 4 - 5*c. Let d(g) = 5*g + 3. Let l(b) = 7*d(b) + 3*q(b). Give l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 1 - 2 - l + 2*l**3 + 3*l**3 in the form y*l**3 + d + u*l**2 + m*l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85342 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595 is divided by 128?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 24.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -239a?\nAnswer: 23a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322028 and 1673.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/3)\/(7\/28). Let w be 11\/(-44) + (-15)\/b. Let f(v) = -3*v - 5. Let p(k) = 4*k + 6. Let m = -43 + 38. What is m*f(x) + w*p(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = -2*q + 556, 2*q + 284 = -2*a. Let d = 259 + a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, -20, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/11)*p)**(-5\/6)\/((p*p*p*p\/(p**16*p*p))\/p**(1\/2)))**(-4\/5) assuming p is positive.\nAnswer: p**(-1784\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-279)\/124)\/(15\/140)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -72, 3, -2 in descending order.\nAnswer: 3, -1, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**4\/6 + j**3\/6 + 3*j**2\/2 + 5*j. Let p(l) be the first derivative of u(l). Determine p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 - -330 - (3 - 53)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56904885 or 56904886?\nAnswer: 56904886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25404827 to the nearest integer?\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -3*3*-6*(sqrt(76) + -3))**2*-2.\nAnswer: -1491072 + 212544*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10383*n + 2481537. What is d(239)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let b be (-3)\/(-6)*11\/(121\/(-858)). Which is bigger: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517*h**4 + 8*h**3 + 1111*h**2 - 27225379*h wrt h?\nAnswer: 6204*h**2 + 48*h + 2222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*p + 281, 3*m - 1418 = -2*m + 2*p. Suppose -3*o - o + m = 0. What is the remainder when o is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f - 47*f + 20*f)*(-16*f**4 + 5 - 5).\nAnswer: 64*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24)\/((-2)\/(-8))*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1199 - 1153. What is the closest to 0.1 in -1\/4, 1, -0.5, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -76. Let c = f - 48. Let t(k) = -k**2 + 1. Let v(g) = 12*g**2 - 8*g - 4. Let i(x) = c*v(x) + 6*t(x). Factor i(u).\nAnswer: 2*(u - 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13570059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:22 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2) - -2*sqrt(14)\/sqrt(7)) + sqrt(2) - sqrt(8)\/(4*sqrt(4) + sqrt(4)))*5)**2.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027172883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*f - 58*f**2 + 2*f**3 + 43*f**2 - 3*f**3 - 9*f - 33*f - 49.\nAnswer: -(f + 1)*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**4 - u**3 - 1. Let i(l) = -13*l**4 + 2*l**3 - 12*l + 2. Let h(f) = -i(f) - 2*y(f). What is the second derivative of h(b) wrt b?\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22529661383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*b + 20, -5*b = -w - 41 - 9. Let a be 3\/(54\/112695) + (595\/102)\/35. Suppose -b*t = -14729 - a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2748 - 2556 = -16*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/45 and 13\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 9:47 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4 + 4*h**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -7 (c) -10 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 0.06. Let n(f) = -f + 3. Let m be n(4). Which is the nearest to d? (a) -1\/5 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 9*a - 6. Calculate b(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (540\/72)\/((-6)\/(-4)). Solve 0 = 4*k + i - 3*i + 22, -q*k = 2*i + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 29*n**2 - 232*n - 1155. Give o(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 10*r - 6. Let p = -107 - -109. Let u be o(p). Let l(t) = -5*t + 1. Determine l(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((((sqrt(1300) + -1)*1 - sqrt(1300)) + 3 + sqrt(1300) + 1)*6)**2.\nAnswer: 8640*sqrt(13) + 188494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 7*l + 6*l**3 - 9*l + 2*l**3 - 3*l**3 to s + o*l**3 + g*l + m*l**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0*a**3 + 22*a**4 + a**3 - 26*a**4 in the form i + z*a**2 + o*a**3 + p*a + c*a**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*h = -0*h - 105, -h - 57 = -3*n. What is the least common multiple of n and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d + 1. Let p be h(6). Let r be (3\/(-5))\/(18\/(-90)). Is 14 a factor of 0 - p\/(-1) - r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -326*(-13)\/(-20540) - (392\/14)\/(-140)?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p**3\/3 - 124*p**2 + 276*p - 428\/3 = 0.\nAnswer: -107\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + 159. Let t be ((-255)\/n)\/(15\/(-20)). Which is bigger: t or 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + t + 0)*(-5*t - 2*t - 3*t)*(-121 - 49*t + 121) in the form d + r*t + g*t**3 + n*t**2 and give g.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*v**5\/9 + 1396*v**4 - 42550*v**3\/9 - 12500*v**2 + 45376*v - 576 = 0 for v.\nAnswer: -3, 2\/157, 3, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:20 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wdwdddwwwd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(612) + 0 + sqrt(612))**2 + 5 + -1.\nAnswer: 120*sqrt(17) + 2477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddxpddddddpddd. Give prob of picking 1 p and 1 x.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, m: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -9061 (c) 47 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1969*g + 2205. Let q(a) = 1313*a - 1470. Let u(i) = -5*c(i) - 8*q(i). What is the derivative of u(f) wrt f?\nAnswer: -659","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 7139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/((-8)\/2) - 470\/(-5)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 56. Suppose 0 = b - 3*o - 6, -2*b - 3*o = -4*b + 18. Calculate the remainder when b is divided by j(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/((-3)\/(-6) - 0). Let c = h - -24. What is the remainder when 91 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -6*h - 43 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382.82176 rounded to one dp?\nAnswer: 5382.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:01 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4670369.95 to the nearest 1000.\nAnswer: 4670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.878 - 0.269173675572.\nAnswer: -1.147173675572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**4\/24 - l**2\/2 + 3*l. Let k(j) be the first derivative of z(j). Let p(u) = 3*u. What is k(p(i))?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 divided by -5.\nAnswer: -107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6292 divided by 11004.\nAnswer: 1573\/2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(408))\/(sqrt(576)\/sqrt(3)))\/((sqrt(288)*-2 - 1*sqrt(8))*-5).\nAnswer: -sqrt(17)\/520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)*u**(-3\/4) assuming u is positive.\nAnswer: u**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.5 + 0.8. Let o = -7 - y. What is the closest to 0 in -5, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 7. Suppose -11 = 5*c - 1. Calculate the remainder when p(-6) is divided by 14 - (2\/c - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50582 - -658.\nAnswer: -49924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75036 divided by -338?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j)**(2\/53)\/(((j\/(j\/(j\/j**5)))\/j)\/j*j*(j\/(j\/(j*j**(1\/13)\/j)))\/j) assuming j is positive.\nAnswer: j**(4120\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -162*k + 2916. Let p be r(18). Which is the closest to p? (a) -2\/7 (b) -5 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 347 = f - 25616, -5*h = -40. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99445 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266398 by -1.\nAnswer: 266398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139579 + -5*(-8 - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 20. Suppose -3*n - 13 = 2*v, v + 16 - 2 = -3*n. Let m = 2 - n. What is the smallest common multiple of o and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -439*g**2 - 4829*g + 6. What is z(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 552*n**3 - 6*n - 7*n**2 - 553*n**3 - 2*n. Give i(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoy when three letters picked without replacement from ooooooooyooooyoooo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12129727, -12129676, -12129551, -12129316, -12128935, -12128372, -12127591?\nAnswer: -12126556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8966, 16987, 25008, 33029, 41050?\nAnswer: 49071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 1171390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 7. Let u be g(8). Sort u, 6, -4 in decreasing order.\nAnswer: 6, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*y - 1813 = -1807, 0 = 12*z - 4*y - 56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-390)\/225 - (-8)\/6. Which is the third smallest value? (a) r (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 35 = -31 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17453040*c**3 + c**2 - 1211205*c + 5 wrt c?\nAnswer: 104718240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.97 + 0.97. Let x = 0.4 - 0.8. Sort a, x, 1\/7 in descending order.\nAnswer: 1\/7, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-317)\/(127434\/(-6633)))\/(((-1)\/2)\/1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 27*k + 41*k = 12*k. Let t(i) = -i**2 + 6*i + 8. Determine t(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1586, 3173, 4760?\n\"Answer: 1587*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1672 - 459. Let q = 1767 - l. Round q to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 11 - 49*i**2 + 8*i**2 - 2 to t*i**2 + u*i + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/36)\/(21\/(-8)*1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 2 + -1 + -2. Let y(o) = -5*o**3 + 2*o**3 + 4*o**3 + 14 + 8*o**2 + 2*o. Is 38 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483.321 milligrams to micrograms.\nAnswer: 483321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**3 + 75*y**2 - 15*y - 16. What is the lowest common multiple of u(6) and 4?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600000 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*w - 2*w - 5*w)*(-2*w - 2*w + 2*w) to s + p*w**2 + b*w and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 - -349. Let g be (5 + 37\/(-5))\/((-12)\/p). Solve 0 = -3*i + 52 - g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 less than 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 9300924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/18 in 0.5, 1\/3, -9681?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 911 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26f8d - 5?\nAnswer: 26f88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 822124 or 5754862\/7?\nAnswer: 822124","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 14*d - 3. Let v(y) = y - 3. Let q be v(-11). Let u be n(q). Suppose 4*j = 2*b - 0*j, 0 = -2*b - 3*j. Put -5, b, u in decreasing order.\nAnswer: b, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 2*r + 13. Let g be d(-5). Let f(y) = 230*y + 52. Let w be f(-4). What are the prime factors of 2\/(-4) - (w\/8 + g)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418770 and 83754.\nAnswer: 418770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:39 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.64 times -0.1171\nAnswer: -0.309144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/50 and 37\/275.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-8))\/((-6)\/112). Suppose -33*i = -l*i. Suppose -2*c + 125 = 5*j, j = -i*c - c + 22. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 883, 1083, 1283, 1483, 1683, 1883?\nAnswer: 2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/1150)\/(3\/(-10)*(-4)\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 537720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1053\/112 - -83\/16. Find the common denominator of 37\/8 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1835*b - 6120 + 3071 + 3048)*(2 - b**2 - 2) to l*b**3 + c*b**2 + k*b + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42*(13\/(-2))\/(-13). Suppose -5*h - 3*z - j = z, -13 = h + 3*z. Is 2\/359 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/40*2)\/((-8)\/(-80))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and -501\/22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + (0 + 1 - 7)*(5 - 6 + 6))*(4*q**5 - 5*q**5 + 3*q**5).\nAnswer: -64*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 2:37 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/11 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let d(v) = -57*v**2 + 1346*v + 2. Determine d(x(w)).\nAnswer: -228*w**2 - 2692*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g**4 - 1\/3*g**3 + 0*g - 17\/60*g**5 - 23*g**2 + 0. What is the first derivative of q(h) wrt h?\nAnswer: -34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-7731)\/(12\/40*-1*5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/((-1)\/(-20)). Let l(u) = 8*u**2 + 13*u - 6. Let s(n) = 7*n**2 + 12*n - 6. Let w(j) = -6*l(j) + 7*s(j). Is w(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8040812 and 47268.\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*f - 3. Suppose 2*r - f + 0 = 0. Suppose p - r = 9. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.613 >= 0.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 + 5*y**2 - 4*y - 9. Let d be 9*(-2 + (-28)\/(-12)). Let p(z) = 0 + 2*z**2 + 2*z**3 - d - 1 - 2*z + 0*z**3. Calculate 5*p(m) - 2*q(m).\nAnswer: 2*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 313652178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 20\/3. Let n = -0.18 + 0.194. Let z = n - -0.986. Sort l, z, 4.\nAnswer: l, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/28*(-28)\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47262?\nAnswer: 2, 3, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**16*f)\/f)\/(f*f**(-3\/13)))\/(((f\/(f\/((f\/(f*f*f**(1\/11)\/f*f))\/f*f)*f*f))\/f*f)\/(f**16*f)) assuming f is positive.\nAnswer: f**(5337\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by 6.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1432*y - 1570. Give x(1).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 4 (c) -1.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/44 and -67\/70156.\nAnswer: 771716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 10*z + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/2 (b) 4\/3 (c) -1297 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1003146 or 1003366?\nAnswer: 1003366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 130071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12. Let v(b) = 122*b**2 + b. Let h be v(o). Suppose 3*j = 4*d - 492, -4*j + h = -0*d + d. List the prime factors of d.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:30 PM?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935793.\nAnswer: 3, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 6*z + 4. Let l be d(-6). Let o(v) = 1 + v**2 + 12*v - 4*v + 0 + l. Let g be o(-8). Solve -2*w - 18 = 3*i, -w + 25 - 8 = -g*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 12. Let x be a(7). Let b(q) = 2 + 0 - q - 2 - x. What is the lowest common multiple of b(-3) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-15))\/((-36)\/30). Which is the closest to n? (a) -3\/4 (b) -0.5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17869 - -5?\nAnswer: 17870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 17*l + 22*l = -152700, -2*l + 152700 = 2*s. What is the ten thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -293, -498, -761, -1082?\n\"Answer: -29*a**2 - 118*a - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0*x + 0*x**4 + 0 + 0*x**3 - 1\/15*x**5 - 186*x**2. Let s(z) = -3*z**2. What is w(s(i))?\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308788147.\nAnswer: 308788147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38642 is divided by 805.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/3, 19.\nAnswer: 1\/3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - 8 = 0. Suppose 4*t = -1 + 1. Suppose t = -2*h - u*h - 4. Is h > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 14*n**2 - 31*n - 281. Give q(-13).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 8:06 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4088595834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28851?\nAnswer: 3, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*j = 18, -2*j - 1 - 11 = 2*m. Let y(o) = 37 + 30 - 4*o - 62. Let r(u) = -9*u + 11. Calculate m*r(x) + 13*y(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 5*l - 19. Give p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3*t**3 - 26*s**3*t - 299*s**2*t - 29*s**2 - s*t - 307402*t**2 wrt t?\nAnswer: -6*s**3*t - 614804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 7*b + 8. Let h be p(8). Let o be h - (-3 + 5) - 7. Let u be (2 - 4)\/(6\/o). Solve -3*k = u - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 480 + 29339. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -84 + 3*z - 85 + 169. Let x(o) = 7*o**2. What is x(i(m))?\nAnswer: 63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let o(j) = -790078*j + 1. What is o(x(v))?\nAnswer: -1580156*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 286 - 97. Let d = -858600.29842 + 858789.3. Let o = f - d. Round o to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12 = -2*z - 9*j, -3*j = -3*z. Let u be 16\/6*z\/2. What is the fourth smallest value in -0.1, u, -0.03, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 127.61135.\nAnswer: -638.05675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-238))\/((-12)\/98)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 7, o: 2, u: 5, n: 5}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26304 and 5184?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k - 5*c + 5, 3*k - 3 = -4*c. Let m = -9 + 14. Let d = k + m. What is the least common multiple of 8 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -40, -3, -17 in descending order.\nAnswer: -3, -17, -40, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -834 + -182?\nAnswer: -a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44418, -44407, -44396, -44385, -44374, -44363?\n\"Answer: 11*c - 44429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77, -39, 9, 67, 135, 213?\n\"Answer: 5*y**2 + 23*y - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*v - 29*v - 2*v to the form x + b*v and give b.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 172 = 2*p, 12 = 3*s + 6. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.24.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(3\/(-12)). Let j = 4580 + -4585. Sort 5, j, t, 2 in descending order.\nAnswer: 5, 2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1299 = -30*v - 1532 + 4883. What is the remainder when 27589 is divided by v?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63067*p = 4*b - 63059*p + 18 + 2, 5*b + 4*p + 37 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 0*r + r**4 + 3*r - r.\nAnswer: r*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/10*12\/16. What is the nearest to 2\/5 in 12, 2\/3, 4, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 48 = 4*s, -2*a + 4*s = 2*a - 32. Calculate the least common multiple of 112 and a.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/20*(-1)\/((-20)\/(-450)). Calculate the highest common divisor of u and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b + 4 = 8, 0 = 2*b - 8. Let f(j) = j. Let i(o) = 6*o. What is n*f(h) - 2*i(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4658, -3, 7, 0.04, -9.\nAnswer: -9, -3, 0.04, 7, 4658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -68*r**2 - 17*r. Let s(l) be the second derivative of 23*l**4\/12 + l**3 - 1048*l - 2. What is -17*s(h) - 6*v(h)?\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (-2 + 5 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 + 118*q**2\/11 - 448*q\/11 + 40.\nAnswer: -2*(q - 55)*(q - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7 + 8 - 3*d as n + m*d and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + q = 27, 2*l = 5*q + 318 - 324 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1392 - 1423. Let g be v\/(-93) - (30\/9)\/(-2). Let r = 161\/60 + -25\/12. Put 2\/15, -1\/8, g, r in ascending order.\nAnswer: -1\/8, 2\/15, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.38 - -0.08. What is the nearest to -0.1 in -4, 2\/27, 3, d?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 1. Let t(i) = 45*i + 3. Let w be t(a). List the prime factors of 3\/2*(-12)\/18*w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**4 - 6*q**4 - q**4 + (q**2 - q**2 - 5*q**3)*(2*q + 2*q - 6*q) - q**4 - 1 + 1 in the form m*q + l + a*q**2 + g*q**4 + y*q**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/110 - 7*f**3\/33 + 6*f**2\/11 + 29*f. Factor a(k).\nAnswer: 2*(k - 2)*(k - 1)*(k + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 9*w - 7. Let f be s(10). Suppose -f*t + 0*n = -5*n - 59, -4*t + 2*n = -60. What is the second biggest value in -0.2, -2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3\/14*18\/(-81)*3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 - t**5 - t**5 + (5*t + 4*t - 4*t)*(2*t**4 + 2*t**4 - 3*t**4) + 3*t**5 + 0*t**5 + 0*t**5.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 131, 278, 443, 626?\n\"Answer: 9*m**2 + 120*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1228 - 861 = 2*j - 3*p, 0 = -p + 1. Let w = j - -1551. What are the prime factors of w?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 105 = 35. What is the least common multiple of p and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 - (-4 + 3 + (-7 - -11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40 + 6?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 95764*f\/3 - 287346.\nAnswer: 2*(f - 47891)*(f + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let v be j(7). Let f be ((-3)\/(-2))\/(18\/v). What is the nearest to f in -1\/5, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5054023 - -350?\nAnswer: 5054413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 j when four letters picked without replacement from {l: 3, j: 4, v: 8, k: 4}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 293*n**3 - 1 - 292*n**3 - 1009*n**2 + 1009*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263 divided by -22.\nAnswer: -263\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 253b?\nAnswer: 253b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -4?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/21 + -3 + (-288)\/(-336))*(-9)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, i: 4, q: 6, k: 5}. What is prob of sequence ki?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 6:13 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*i - 422, 12 = o + 2*i - 70. Let a = o - 51. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ahhhdyydhhhdydahh.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -885*f**5 + 491*f**4 - 7*f**2 + 3*f - 3983634.\nAnswer: -17700*f**3 + 5892*f**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 24 - 17)*(0*y - 2*y - y).\nAnswer: 102*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12. Let a(p) = p**2 + p - 1. Let k be a(-2). Let s = 0 + k. Solve u = o + s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*5066\/(-240635).\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 4\/9, 1\/2, -2\/47, 60?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 2828*n\/3 - 942.\nAnswer: -2*(n - 1413)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/4*(-16)\/6. Suppose 90 = -5*b - 5*f, 0*b + y*f = 3*b + 54. Let a be 4\/b + 208\/(-117). Put a, -3, 2 in ascending order.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40660000 rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -40, -45, -50?\n\"Answer: -5*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0.3, -2\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 85*h**2 - 220*h - 2048. Give i(82).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Suppose 4 = p*s - 2. Suppose -4*v - 5*w + 4*w = -8, -w = -v + s. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - -66?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -461663 - -3?\nAnswer: -461660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1477 + 3*s - 1498 - s to d*s + u and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**2\/2 - i - 5. Let c(s) = 9 + 8*s - 8 - 8. Let k be (-28)\/(-6)*(-6)\/(-2). Determine k*m(u) - 2*c(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 939871845 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v - 4*s - 666, -2*v + 5*s - 467 = 0. List the prime factors of 6 - ((-4)\/4 - -6) - v.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-21))\/(-4) - 531\/(-21). Solve -3*v - y = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803179 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: Suppose 3*f + 19 = 2*w, -w + 6*w - 4*f - 30 = 0. Suppose 2*y = 4, -3*k - k - 6 = -3*y. Let v = w - k. Sort v, 4, -2 in increasing order.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568589392 is divided by 4604?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -419\/3. Let j = -12.8 + 11. Let g = -2.1 - j. Put g, y, -2 in increasing order.\nAnswer: -2, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 2*q + 2, -7*n + 42 = -100*q + 102*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -792797, -793789, -794781, -795773, -796765?\n\"Answer: -992*w - 791805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.296 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1433 (b) 0.4 (c) -13 (d) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + w**2 + 1. Let p(o) = -2*o**3 - 3*o**2 - 6*o - 4. Determine -3*m(j) - p(j).\nAnswer: -j**3 + 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 3, 136 = 3*r - 2*j. Let q(v) = -6*v + 11. Let h be q(2). Let u(n) = -68*n + 2. Let b be u(h). Calculate the greatest common divisor of r and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:34 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/18 and 20\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.87, 4, 2 in increasing order.\nAnswer: 2, 4, 4.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75631 is divided by 37488?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 + -122 - (-2 + -6 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1)*(-p + 0 + 0 + (-2 + 4 + 0)*(-20 - 6*p + 20)) to the form l*p + g and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 + 12*q**2 - 33*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000368677753 rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/6 + (-11)\/33. Suppose -j - 7 = -2*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 24*x**2 + 3*x - 12. Let j be d(12). What is the highest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-7) - (-384)\/(-448).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/9 - j**2\/9 - 14*j\/3.\nAnswer: j*(j - 7)*(j + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 560820 = -10*i, 4*i - 166971 = 2*g + 57359. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/7 (b) 21 (c) 0.1 (d) -1 (e) -123568\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 2. Let f = -1 + q. Let j = 449\/3 - 151. Sort j, f, 1\/5.\nAnswer: j, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 29, -5, -125909?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 165268.593us?\nAnswer: 0.0000019128309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y. Let d = y + 2. Calculate the highest common factor of d and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7470681.\nAnswer: 3, 2490227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1.1 (c) -9\/5 (d) -0.2 (e) -133\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 greater than -3254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s + 4*s**2 - 5*s - s**2 - 9. Let z(i) = -3 + 2*i**2 - 3 + 1 - 8*i. Let h(l) = 3*x(l) - 5*z(l). Give h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -581 - -686. Suppose -5*p + 90 = -c, -4*p + 2*c = 4*c - 72. What is the remainder when t is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - c11f?\nAnswer: -c123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 35?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2\/2 - 9*n\/2 + 693 = 0.\nAnswer: -42, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56358 + 56363. Suppose 2*m - 8 = -0*m. Suppose 3*y - 10 = -2*p, -2*p + 12 = -0*y + m*y. Solve -3*t - w = p*w, -2*t - l*w = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19160 + 19313. Calculate the remainder when 1069 is divided by t.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + 1)*4 - sqrt(117) - (sqrt(117)*-2 + -3)) + -6*sqrt(117)*3 + 3 + 5)**2*-1.\nAnswer: -19998 + 1170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 1430?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1441*d**2 + 164276*d - 208. Determine b(114).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(300)*-1 + -5).\nAnswer: 20 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -1 + (sqrt(684) + -2 + sqrt(684) - sqrt(684)))**2 + ((3*sqrt(684) + sqrt(684) + 5)**2 - sqrt(684)) + -3 + 3)*-1.\nAnswer: -13714 - 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (sqrt(833) + sqrt(833) + -2 + 2))*5 + 4 + sqrt(833) + 0 + (sqrt(833) - sqrt(833)*2) + 2*(sqrt(833) + 0) + -3)**2 + -5.\nAnswer: -42*sqrt(17) + 7493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.64 and -0.5.\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 148 - 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 368*z**3 + 2*z + 1 + 2*z**2 - 740*z**3 + 363*z**3. What is b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 13. Suppose -2*h = -7*h - 3*t - 32, -5*t - j = -h. Is (14\/h)\/((-3)\/6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.40535 - -4.455. Round h to 3 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14338.26 - 15716.993. Let b = -1378 - h. Round b to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 12 = -8*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13854700 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11747 and 263874.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -105202.62 * -0.1\nAnswer: 10520.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 1 - 6 + 4)*(-17 - 10 - 11).\nAnswer: 114*b**3 + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-12) + 2\/6. Let o be 1\/(-3) - 15\/9. Let m be (0 - -1)\/1 - o. Solve 3*n + 14 = d, m*d + 11 = 7*d - x*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:13 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -602, -5, -3 in ascending order.\nAnswer: -602, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 68789.75 seconds?\nAnswer: 68789750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, t: 2}. What is prob of picking 4 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 divided by 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-13))\/(8\/(-104)). Let k(w) = 7*w**t + 14*w**2 - 17*w**2. Let x(q) = 29*q. Determine k(x(m)).\nAnswer: 3364*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17980691 and 1923?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 times 1.48924\nAnswer: -5.510188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -51. Let g = x - 23. Solve g*t = 2*d + 18, 15 = d - 6*d - 5*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 - 24*c**3 + 60*c**2 + 400*c = 0. Calculate c.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - 0.12. Let l = 0.04 + i. Round l to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 38*i - 88. Calculate g(17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 645*b**2 + 207*b**2 - b.\nAnswer: -438*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u**3 - 30*u**3 + 78*u**3.\nAnswer: 91*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17970742 divided by 35?\nAnswer: -17970742\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-12 + 7 + 5 - 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -2*sqrt(77))\/sqrt(11))**2 - (0 + sqrt(7))*-5) + -3 + -5 + sqrt(7)*-1.\nAnswer: 4*sqrt(7) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/((-1)\/4). Let z = -16 - -11. Which is the closest to -0.1? (a) o (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 5*r. Let v(q) = -11*q - 5*q - 2*q + 4*q**2 - 3*q - 1. Let y(g) = 9*d(g) - 2*v(g). Let y(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1930341*3\nAnswer: 5791023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2496 is divided by 1248.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 3) in base 12?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 39*s + 998. What is a(-26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 70*c - 66*c - 36, 4*c + 8 = -5*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4474 divide 112400302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 413.9 - 414. Is 68\/127 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75 - 32 + 4 - 71*k**4 + 61 with respect to k.\nAnswer: -284*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + -2.96. Let j = 4.6 - 5. Let d be 287\/(-164) + (0 - -2). What is the closest to d in j, q, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 77 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 45*f - 195. Let a be p(40). Solve -15 = -a*s - 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 + -2.\nAnswer: -1.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359.9 + 361.8. What is the fourth smallest value in 40, 4, 2, k, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32995 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 227?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 4 - (-10 + 21)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgtt. What is prob of sequence tgt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -239.7371 - -2.0571. Round n to the nearest integer.\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245954 or 245583?\nAnswer: 245583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100210212 - 12?\nAnswer: -11100211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 3. Let q be i(5). Let k(p) = -2 - 13*p - q + 0*p - p**2 - 6*p. Let t be k(-17). Calculate the highest common factor of 120 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulsm when four letters picked without replacement from {l: 7, s: 1, m: 1, u: 6}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 73*j - 68*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -41*u + 3719. What is the remainder when w(-25) is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 6. Let f(y) = 3*y - 9. Let d(w) = -5*f(w) + 7*z(w). Suppose -3*s = -7 + 4. Let b(n) = 0 - s + 3. Give 3*b(o) - 2*d(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14.6*-3\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21531456 and 21531456.\nAnswer: 21531456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1736\/140)\/((5\/(-40))\/((-90)\/288)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3759, 3735, 3697, 3639, 3555, 3439?\n\"Answer: -t**3 - t**2 - 14*t + 3775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -1\/6*d**3 + 3*d**2 + 0*d + 0 + 1\/24*d**4. Give j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023 (base 4) in base 14?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24229 is divided by 238.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.0146 + 30.023. Let z = -0.14 + -4.86. Let p = z + d. Round p to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77644346 is divided by 467.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {p: 1, s: 4, z: 1, o: 2, c: 2, w: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-78)\/(-30) - 2\/(-5). Suppose -3*a = -3*p + 15, -4*p + a = -16 + 11. Solve 3*g - 4*f + 23 = p, d*f = 2*g + 12 + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 5\/3 (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1276367*u**5 - 2*u**4 + u**2 - 5468847*u wrt u.\nAnswer: -76582020*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 6612436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/7*(-8)\/(-3). Let u = 13 + -7. Suppose 2*v = -5*z + z + u, 3 = 4*z - v. Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4.53, 6692\/19 in ascending order.\nAnswer: 3\/2, 4.53, 6692\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*c = -14*c + 80*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100202 - -1011110002?\nAnswer: 222002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 4. Determine y(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (114\/(-20))\/3 - 6\/(-15). Let k = 0.2 - 0.2. Put b, 9, k in decreasing order.\nAnswer: 9, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + u - 71, 0*u - 3*u = -2*h + 53. Suppose 0 = 2*l - 7*l + 35. Solve -16 - h = l*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676 divided by 838?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3023 - -3023. Let r = -4.7 + 5.75. Is r != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p**4 - 19974124*p**3 - 13298856982128*p**2 - 2951480937735981632*p - 1180590247278553856 = 0. What is p?\nAnswer: -665804, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 + 1274. Let m = v + -655. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/((l\/l**0)\/l)*l)**(2\/19)\/(l*l**(-4\/5)*l*l**16) assuming l is positive.\nAnswer: l**(-1594\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1753920 by -1827.\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.9 take away -7.03?\nAnswer: 397.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4564 - -0.3564. Let m be (13 + -4 + 2)*-1. Let x = -7 + m. Sort -3\/4, l, x.\nAnswer: x, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/3 (b) 1\/12 (c) -3 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/3))**(9\/4) assuming j is positive.\nAnswer: j**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4193\nAnswer: -4194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = 5. Calculate the lowest common multiple of d and 74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:20 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*50\/90*9*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 4, q: 1, a: 2, f: 2, t: 4}. Give prob of sequence faq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + -2 + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 2\/5, 0.9254, -2, 206, 0?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 164 = 5*y + 3*i, -3*y = i + 123. Let l = 17 - -29. Let j = y + l. Calculate the greatest common factor of j and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155789.454 rounded to the nearest one hundred?\nAnswer: -155800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*2 + -2.\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -115*j + 5. Let l be n(-1). Calculate the highest common factor of 48 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 1 - 2 + 30*c**2 + 9*c**2 + 2*c - 29*c**2 in the form v*c**2 + u*c**3 + p + m*c and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yfypyyuyppfy.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -559.\nAnswer: -559.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 3. Let s be k(7). Let i = 0 + s. Calculate the smallest common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 18*r**5 - 1623*r**4 - 3042*r**3 + 552*r**2 = 0.\nAnswer: -2, 0, 1\/6, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1449.37107 milliseconds to weeks.\nAnswer: 0.000002396446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13122.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-240)*28)\/((13\/(-13))\/(-5)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*z**2 + 17662*o*z + 11407410*z**2 - 369*z wrt z.\nAnswer: 4*o + 22814820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(76) - (sqrt(76) - sqrt(76)*-2)) + sqrt(76))\/(1*sqrt(576)))**2.\nAnswer: 3211\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*q + 18, -s + q = 3*s - 124. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*q*x**3 - 12*q*x**2*y + 3*q*y**3 + 7*x*y**3 - 1546*y**3 wrt x?\nAnswer: 21*q*x**2 - 24*q*x*y + 7*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535015?\nAnswer: 5, 17, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 14*z**2 + 31*z + 10. Let h be (-9 + (-343)\/(-35))\/((-1)\/20). Let b be t(h). Solve -8 = -6*q - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -19?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.058468 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81254904\/17 or -4779701?\nAnswer: -81254904\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16034 + 18099. What is the remainder when u is divided by 116?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -49*u + 71 + 99. Let o be (-2)\/(4\/(-14)) - 2. Suppose i + u*h - 37 = 0, 89 = -i + 3*i - o*h. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 565*a - 660656. Give n(578).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12429 and 5524.\nAnswer: 49716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 - 10 + 0*m**3 - 2*m**4 + 2*m**3 - 52*m**2 + 54*m**2 to the form l + a*m**3 + p*m + r*m**4 + f*m**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -18626 and -151\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 7. Let x be z(-7). Find the second derivative of 5*w**5 + x*w**5 - w + 0*w wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.67 + -2.813. Let h = z - -93.143. Let a = h + -95.9. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 502.7941 litres?\nAnswer: 502794.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773, 756, 745, 746, 765?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18319643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-306*b - 194 + 387 - 1812*b - 193)*(-1 - 1 - 2) as h*b + l and give h.\nAnswer: 8472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373784.1t to grams.\nAnswer: 373784100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7395 by 255.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -38437 <= -38721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 13*a + 0 = -20, -4*a + 16 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25994479?\nAnswer: 7, 17, 61, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 697258\/38 - 4*(-1)\/38. Suppose 0 = 5*k - 2*k + 2*d - u, -k - 2*d = -6111. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 26 = -46. Let r be (-189)\/(-15)*(-44005)\/(-4739). Calculate the greatest common divisor of k and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5433)\/(-30787)*((-12)\/9)\/4.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 = -3560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51924445 by 169135.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203695 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 4\/(-10))\/(86\/(-1271080)). Is ((-237)\/(-6))\/(d\/(-656) - 9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/4 - 4*g**3 - 4*g**2 + 5*g. Let u be t(-7). Let v(r) = r - 4 - 9 + u. Determine v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -37, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 86688775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*k = -2 - 1, 4*k - 2 = 2*h. What is the remainder when (-1)\/7 - (-984)\/28 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(65 - 65 - 9*c)*(-4*c**4 + c**4 + c**4).\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from {c: 1, o: 2, p: 11}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/5)\/((-30789)\/(-16794))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4 - 5597448*d**3 - 3916416819176*d**2 + 15665734446144*d - 15665756835968 = 0?\nAnswer: -1399364, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-169 - (1 - 58)) - (-2 - (-2 + 2))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*(-7)\/(112\/(-12))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44226833 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-12)\/(-8)))\/(94\/(-47))*-17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 23. Let s be t(6). Let b(x) = 14*x**2. Give b(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11015416 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215 - -110. Let o = p + 104.9999616. What is o rounded to six decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.828228 kilograms?\nAnswer: 828228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6661*k + 12186*k + 6056*k + 4555*k in the form v + n*k and give n.\nAnswer: 16136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/16*14 - 1\/(-2). Let h = 11\/39 + 2\/39. Which is the nearest to 2? (a) 1 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 21. What is the smallest value in h, -0.3, -1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b1 (base 14) to base 11\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -9)*(82 - -1). Suppose a + 4*a = 285. Let i = h - a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 2*y - 34, -3*d - 952*y = -d - 929*y - 9 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 9. Let h(x) = 6*x + 26. Give 5*h(q) - 14*i(q).\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = -4*l, d + l = -3*d + 5. Suppose t = d*p - 1, 5*t + 0*t + 5*p + 80 = 0. Let g = 19 + t. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*k**2 - 55*k**2 + 32*k**2.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 + (-22 - -25 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11298 + 5?\nAnswer: -11293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*t - 147 = 0, -t = -4*o - 82 - 105. Let d = o - -52. Sort 3, 5, 1, d in descending order.\nAnswer: d, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 506.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 381 + 3064 - 2*h**2 + h - 192.\nAnswer: -2*h**2 + h + 3253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 661 = -8*l. Let o = 713 - l. Solve 51*m = o*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159166\/25 - 6368. Find the common denominator of -2 - 3\/(-2) - 84743\/15315 and b.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0, 301 in descending order.\nAnswer: 301, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 45 = 16*y. Let x(p) = 3*p**2 - 2*p - 1. Let t be x(-1). Let w = t + -2. Solve 5*j = w*j + y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13951*o**2 + 27901*o**2 - 13950*o**2 - 58664*o**3.\nAnswer: -58664*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - -53) + 2 + 12 - (7 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:57 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/12 - 167*r**3\/3 - 333*r**2\/2 + 4217*r - 1. Let z(h) = 0. Calculate h.\nAnswer: -333, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyh when three letters picked without replacement from yhyhyhyhhy?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -4 + 2 - -11) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n - 1. Let z = -11 - -7. Let w be g(z). Let s(k) = 4 + 0*k**2 - 4 + 4*k**2. Let h(d) = -11*d**2. Give w*h(u) + 8*s(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361144.\nAnswer: 2, 29, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2759688*j**2 - j**3 + 2*j**3 + 0*j**3.\nAnswer: j**3 - 2759688*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2954492230 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000232274 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*y - 276 - 318 = 1182*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-27)*(-40)\/(-4800)*-72.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w + 12 + 90*w**2 - 6*w - 10*w - 88*w**2. Let t be j(10). Is 1\/2 - (556\/t + 0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5238 is divided by 310?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (38 - 4\/2) + -1. Let r be 1\/(-2) - o\/(-10). Solve -5*d + 24 = -4*q, -4*q = -0*d - r*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4543 + 4543.00000295. Round l to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140975309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91860 and 8940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -32*z + 52. Calculate y(12).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2) + 4 + -2. Let r = 2368 + -2362. Let i be z\/2 + (r - (-1 - -5)). Round i to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 29*u**2 - 27*u - 6. Let k(z) = -13*z**2 + 13*z + 3. Give 4*c(p) + 9*k(p).\nAnswer: -p**2 + 9*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.03 less than or equal to -1170\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 91. Suppose -9 = 10*q - j*q. Solve -4*r = -3*r - q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 13*t + 72255. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -11120012122011211?\nAnswer: 11120012122011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4) + -2 - (-7 + -11 + 25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2 - 4*i - 78. Let l be (4*6)\/(-4)*(-6)\/(-9). Let z(o) = -8*o**2 - 3*o - 77. Let a(m) = l*z(m) + 5*p(m). Differentiate a(u) wrt u.\nAnswer: -26*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-5)\/10 + 0). Let n = 7 - r. Suppose 0 = -9*y + n*y + 12. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 34. Suppose 21 + m = 3*p. Suppose -k + p = -6. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18405, -20618, -22829, -25038?\nAnswer: -27245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268 and 2278.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 9, -5, -3\/5, -359.\nAnswer: -359, -5, -3\/5, 2\/21, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaazrrazrrzra. What is prob of picking 1 z and 2 r?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/12*18\/12?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19523479 + 19523476.5586399. Let t = 0.5586314 - l. Let n = -3 + t. Round n to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s + 3. Let x be d(-2). Suppose -3*u + 30 = -x*p, u + u + p = 17. Let a = 18 + -15. Solve 0 = -3*q - i + a, 4 = -5*q - 5*i + u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*u + 22, -3*u - 24 + 5 = -2*s. What is the common denominator of 73\/4 and (-42)\/(-8) + (-6)\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35670000 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -10. Calculate the lowest common multiple of 8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12680048 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 43 - 91. Let p be 1 + 0 + -1 + 0. What is the remainder when (p + 50)\/2 - -2 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 612075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15766603.\nAnswer: 947, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -861?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 1\/60*z**5 + 0 - 1\/8*z**4 - 4*z**3 - 32*z**2 + 0*z. Calculate the remainder when d(-9) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56763646.\nAnswer: 2, 17, 98207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l - 47. Calculate c(-14).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.2 - 9.19999665. Round w to seven decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -28, -0.5, 1\/3, 1.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.06. Let v = -321 - -321.12. Let d = v + m. Sort 1\/2, d, -0.4.\nAnswer: -0.4, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 1055510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5*6\/225 + (368366\/30 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -423, -839, -1253, -1665, -2075, -2483, -2889?\n\"Answer: f**2 - 419*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -424314 divided by 7\nAnswer: -424314\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/5 (b) -1\/3 (c) 2\/37 (d) 0.1 (e) -0.3 (f) -0.0471\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -49. Let a(i) = i**3 - 4*i**2 - 2*i - 11. Let l be a(k). Suppose -x + 95 = 2*o - 11, o = -l*x + 389. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48139)\/260 + 2\/(-8). Let r = -185 - c. Is r bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 7*f**2 + 8*f + 5. Let a be w(-5). Solve 11 = u - 4*u + j, -a = -3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 2\/7, -21, 2\/5, 3.8, 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412 + -415. Let q be ((-24)\/v - 26)\/2. Sort -5, q, 3 in descending order.\nAnswer: 3, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -33 (c) 8 (d) -0.2 (e) 3.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 4\/17, -2\/19, -3\/4, 7\/3, 3?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -26.4 (b) 2\/3 (c) 1\/17 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -78164 times -0.023\nAnswer: 1797.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149\/203700 + 4\/2425. Let z(a) be the third derivative of 5*a**2 - 1\/240*a**6 + 0*a**3 + 0 + 0*a**4 + 0*a - d*a**7 + 0*a**5. Factor z(n).\nAnswer: -n**3*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3087*z - 3694*z - 532*z.\nAnswer: -7313*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8026 and 3?\nAnswer: 24078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.48 - -14.48. Let d = 163\/5 - 32. Sort p, -0.1, d in ascending order.\nAnswer: -0.1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8239018 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(448) + 4)**2 + -5.\nAnswer: -1424 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 17 - 7\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 64*c**2 - 68*c + 316. Let i be u(63). Let l = -29847\/10 - -18043\/6. Let a = l - 67\/3. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 3. Let i = -0.09368 - -0.05368. Which is the closest to 2\/7? (a) 0 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -8, 1?\n\"Answer: 9*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003162 to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -7*u**6\/360 + 5*u**4\/24 - 2*u**3 + 4. Let y(k) be the third derivative of o(k). Differentiate y(r) with respect to r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 7*p + 25*p**2 - p**3 + 11*p + 4*p**2. What is the tens digit of r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774637\/8 greater than 471831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + -3 - 13 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 = 2534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10010100101010000 (base 2) to base 13\nAnswer: 2884a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 17*s**2 - 16*s + 19. Let l be b(15). Let c = -139 + l. What is the remainder when c is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -212112, -424325, -636538, -848751, -1060964?\n\"Answer: -212213*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*v**3 - 42*a**2 + 62*a*v - v**3 - 2*v - 9309 wrt a?\nAnswer: 4*a*v**3 - 84*a + 62*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 11*s**2 + 2*s - 14. Let y(d) = d**3 - 10*d**2 + 10*d - 4. What is the remainder when l(11) is divided by y(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1*(0 - 2). Let j be (m + -1 - 2) + 4. Suppose 61 - 21 = j*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174200 (base 8) to base 5\nAnswer: -4013431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 8340*k**2 - 8345*k.\nAnswer: 5*k*(k - 1669)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b**2 + b + 10. Let r be y(0). Suppose -3*w + 9*w = 0. Suppose w = k - 159 + 49. What is the greatest common factor of r and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.033, -2, -2\/7, 785.4, -3\/5, -3\/2?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3497 is divided by 898.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20698 - 6*r - 20698.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 7820 - 2165 = 0. Calculate the least common multiple of 150 and r.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000110 + 1000001110011111111?\nAnswer: 1000001111101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/464941 or 0?\nAnswer: -1\/464941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -24*c**2 + 3*c + 1. Let j(g) = -118*g**2 - 239*g + 4. Determine -5*h(d) + j(d).\nAnswer: 2*d**2 - 254*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h - 25. Let v be w(3). Suppose v*r - 2*s - 38 - 3 = 0, 0 = -s + 2. Calculate the highest common factor of r and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -44. Suppose -12 = -s*r - 3*r. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*l + 3*l**3 - 56*l + (-1 + 2 - 3)*(2*l**3 + 0*l**3 - 3*l**3) + 0*l**3 + 0*l**3 - l**3 + (0*l + l + l)*(l + l**2 - l) - 2*l**2 + l**3 + 2*l**2.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001824 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*o + 7*o + 5*n, 5*o + 4*n - 27 = 0. Suppose 0*r + 25197 = o*m - 5*r, r + 41995 = 5*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*x + 18. Let v be x + (-2 + 4 - 0). Let o = v - -5. Let s(a) = -3*a - 1. Determine s(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70) + sqrt(70))*5 - (-3*-1*sqrt(70) + sqrt(70)))\/(1*-1*sqrt(110)\/sqrt(11))*-3.\nAnswer: 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600903575?\nAnswer: 5, 163, 167, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28fb - 105?\nAnswer: 27f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 4, 2, -396, 3, 18 in ascending order.\nAnswer: -396, -42, 2, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + f**4 + 0*f**3 + (3*f**3 - 3*f**3 + 2*f**3)*(-3*f + f + 4*f) + (0*f**2 + f**2 - 3*f**2)*(-f**2 + 9*f**2 + 2*f**2).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*w + 6*w - 20, 3*l = -3. Suppose -c - w*c = -959. Suppose b + 2*o = c, 0 = -4*b - 0*b - 3*o + 553. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 25*v + 4. Let o(d) = -50*d - 9. Let i(j) = -7*c(j) - 3*o(j). What is the remainder when i(-3) is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viirihxvvixvivz. What is prob of picking 1 r, 1 i, and 1 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 656\/(-72) - (-1 - (-8)\/9). Let f(j) = -2*j. Let u be f(2). Let n(b) = b + 9. Let q(a) = -4. Calculate r*q(v) + u*n(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*1 - sqrt(33)\/(sqrt(44)\/sqrt(4)).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7866514031 to three dps.\nAnswer: 0.787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024905 rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*a - a = -6, a = -3. Is (1 + l - -1) + 326 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-26)*(-129)\/1333.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*f + 3*f - 341, -3*k = -4*f + 275. What is the least common multiple of 7 and (-4)\/(-18) - f\/(-18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = -z + 98, 0 = 5*z - 5*i - 370. Suppose -5*p - 93 = -103. Calculate the lowest common multiple of z and p.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1280, 5017, 11192, 19787, 30784, 44165, 59912?\nAnswer: 78007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 2*d - d + (-4*d + 3*d + 4*d)*(1 + 0 + 1) + 0*d + 3*d - d + 0*d + d + 0*d)*(-2*d + 3 - 3)*(1 + 2 - 1) as m*d**2 + f*d + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 0 - 2)*(-7*c + 3*c + 2*c) + 0*c - c + 3*c)*((-c + 0*c + 0*c)*(-1 + 0 - 1) + 0*c + 8*c - 23*c) to v*c**2 + b*c + w and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:40 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 0*m + 0*m)*(0*m + 2*m - m)*(4 - 1 + 0).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 4*v - 14. Let i be h(5). What is the hundreds digit of -2 - i\/(-24) - 9866\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 15 + 0 + 1. Let u(g) = g**2 - 21. Let h be u(5). Solve -t - m = -c - h*c, -t = 5*c - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/11))\/c**(4\/7))**(-40) assuming c is positive.\nAnswer: c**(-760\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let r(z) = 1 - 3*z**2 + 4*z**2 + 2*z - z + 2*z. Let y be r(-3). Which is the nearest to 1\/2? (a) -4 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 12 = 4*t + 5*j, -t + 7 = j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60945908*w**2 - 1229192*w + 14 wrt w?\nAnswer: 121891816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15878, -29815, -43752?\n\"Answer: -13937*z - 1941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 8*p**2 + 7*p + 10. Let c be h(7). Is (4\/c)\/(2\/5450) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4 - 27*o**2 - 42*o**3 + 6*o**3 - 5 - 7*o**3 wrt o.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -8*h**5 - 114*h**4 + 98*h**3 + 34*h**2 - 48*h + 159. Determine g so that x(g) = 0.\nAnswer: -12, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -35130324.9\nAnswer: -35130324.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88568 is divided by 70.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:13 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c2b7 (base 13) in base 4?\nAnswer: 12203210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 4. Let d be 3 - 2\/((-3)\/3). Suppose -q = d*u + 48, 5*q + 24 = 2*u - 3*u. Let g be z(u). Solve 0 = 4*p + 2*j - 10, -3*j = g*p - p - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -3 (b) -2\/5 (c) 39.5 (d) 2 (e) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 3, 0.7 in decreasing order.\nAnswer: 3, 0.7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 25. Let f = 0.023 - -0.587. Let j = -0.39 - f. Which is the second biggest value? (a) j (b) y (c) -3\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 d when four letters picked without replacement from {d: 11, q: 3}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + (-4)\/14. Let y be (14 + 0 + p)*1. Suppose -3*z + 2*z + y = 0. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2. Let p(a) = a - 7. Let c(h) = 26*h + h - 26*h + 1 - 6. Let j be 3*2\/(-3) + -5. Let d(b) = j*c(b) + 5*p(b). What is f(d(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 67320, 135797, 204274, 272751, 341228, 409705?\n\"Answer: 68477*g - 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-35) - (-9)\/(135\/6). Which is the nearest to 0.04? (a) 3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 66 = -63*u - 74*u, 88 = 4*w - 4*u for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*z + 6449*z**2 - 6449*z**2 - 8*z**3 to the form w*z**2 + q + k*z + i*z**3 and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 + l - 1. Let c be g(3). What is the third derivative of 3*w**3 - 5*w**3 + w**c + 4*w**3 wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 12 = -15*a. Suppose 0 = -i + t - 2*t, 4*i + 3 = -3*t. What is the second biggest value in i, 4\/3, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -101101101010100010011?\nAnswer: -101101101010100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 408 and 175404.\nAnswer: 5963736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.07 + -6963.\nAnswer: -7007.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 94*i = -154. Solve 0 = i*q - 24 + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.3, 1850.6, 2\/13, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 132 - 1106*p.\nAnswer: -1106*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 212210210 (base 3) to base 5\nAnswer: 1023410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1346 - -1506. Calculate the least common multiple of l and 25.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40747 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 - 3*c + 4. Calculate x(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*g - 21 = -w + 390*g, 5*g = -5*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -98 - (-13 - 26) - (-12 + -17)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i. Let j(o) be the first derivative of 1\/2*o**2 - 54 + 0*o. What is a(j(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 19508264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*i + 131*i = 8. Solve m = i*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4451 - -0.0651. What is a rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s, 4*g = -0*g - 4*s. Suppose 20 = -g*j + 5*j. Suppose -145 = -5*m + 5*z, 0 = -j*m - 0*m - 2*z + 98. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 4)*(-1 - 4 + 1)*(-2 + 4*n - n - n) in the form m + y*n and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/10*9\/(108\/40). Let c(k) = -102*k + 25. Let y be c(v). Let u = -183 - y. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -754*f**2*i**3 + 2*f**2*i**2 - 11*f*i**2 wrt i?\nAnswer: -4524*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Let t(w) = 2 - w - 1 - 4 + 4. Let n(k) = 10*k - 11. Let z(q) = -2*n(q) - 22*t(q). Calculate z(g(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1355 and 81\/7735?\nAnswer: 2096185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -492845 - -493107.403. Let u = 261.1 - v. Let m = u + 1.302349. What is m rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/((-44)\/1840))\/1. Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48239 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 4. Let x be p(-2). Suppose 5*h - 3*h + x = 0. Let i = h - -1. Solve i*s - 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 6*k - 5. Let c be g(7). Let x(y) = -y**2 + 1. Give x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881891 is divided by 1113.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064416 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.724 + -425.276. Is c >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*q = -7, q + 4 = -q. Let x be (-2)\/18 + 2\/6. Is d bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 23*d + 31. Let q be k(12). Which is the closest to q? (a) -3 (b) -2\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -771, 6, -5, 0.4, -1, 1\/32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.313 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 21\nAnswer: -41\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12121011012 (base 4) to base 10.\nAnswer: 1675590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*(-18)\/(-4). Suppose 0 = -3*s - i*m + 3, 5*s + 0*s - 6 = -4*m. Solve -s*d = -d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734700 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189 + 204. Differentiate -5 + 5*h**4 + 4*h**4 - 3*h**3 - c*h**4 + 6*h**3 with respect to h.\nAnswer: -24*h**3 + 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-5))\/((-6)\/(-60)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhsu when four letters picked without replacement from jhsfufsuv?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24801968.\nAnswer: 2, 131, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33, -62\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 302, 304, 308, 314, 322, 332, 344?\n\"Answer: g**2 - g + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3359, 3675, 4201, 4937, 5883, 7039?\n\"Answer: 105*o**2 + o + 3253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8424 - 72*r + 2\/13*r**2.\nAnswer: 2*(r - 234)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and 99?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 10 + 2 = 0, 5*r = 2*u + 5518. Calculate the greatest common factor of 174 and r.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s. Suppose -2*w - 667 = -5*b + 108, 3*b - 5*w - 446 = s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141703063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -19, -7, 87, -1, 10, -3 in ascending order.\nAnswer: -19, -7, -3, -1, 4, 10, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirrrrrrirrrrir. What is prob of picking 2 r?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 4*p**2 + 2*p + 2. Let g be b(2). Suppose -4*h + 3*r = -2*r - 21, 2*r = h - g. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25758 and 340260?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/7839 and -41\/91522?\nAnswer: 10708074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 11*u**2 - 18*u + 1. Let w be y(9). List the prime factors of (w - (-62)\/10)*160\/16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222*c + 210*c + 214*c + 107*c + 177*c + 212*c.\nAnswer: -302*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -5 + sqrt(17)*-1).\nAnswer: -60 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Solve j - 2 = k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 2*o - 5*u - 7, 2*u - 17 = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34254 and 48440.\nAnswer: 4795560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804956576.\nAnswer: 2, 23, 83, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -3*a - 15, -4*a = 12*d - 7*d + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 3. Let t be h(0). Suppose -t*f = 5*x - 0*f - 111, -2*f - 6 = 0. Let j = x - 5. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 - -33. Suppose b*k + 66 = 223*k. Sort 4, k, 2 in increasing order.\nAnswer: 2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 6, 47, 110, 201, 326?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 10*p - 37. Let u = 42 + -29. Let l be m(u). Solve 3*r - l*r - 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24000 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 296 + -12?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*14\/63*216\/160.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.417, 1\/13, 5 in ascending order.\nAnswer: -0.417, -1\/3, 1\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5 - 690*u**4 - 4895*u**3 + 39390*u**2 - 33800*u = 0 for u.\nAnswer: -130, -13, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3*k**2 + 0*k**2)*(5 + 8 + 7) + ((-k - 4*k + 6*k)*(-2 + 2 - 1) + 2*k + 0*k - 4*k)*(0 - 5*k + 0)*(1 - 6 + 4).\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86056 is divided by 86008.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 977 - 977.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -1757*t**4\/12 - 2665*t**2\/2 + 1226*t. Differentiate c(f) wrt f.\nAnswer: -3514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by 6.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 6*r - 6. Let k be l(-4). Let b(c) = 2*c - 2 - c**2 - k + 3 + 3*c. Calculate b(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2 - 30365*f + 5598087?\nAnswer: -4*f - 30365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1149.1 - 1149.100016102. What is c rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 130859327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -272, 2.01, -2, 0.05, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19113804 is divided by 4906.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.3 (c) -4 (d) 4 (e) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -38 (b) -4 (c) 4\/9 (d) -0.04 (e) -28\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -24. What is the greatest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12882 is divided by 149.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 18. Let z = -16 + j. Suppose 4*l = -b + 85, -3*b - 20 = 2*l - 75. What is the greatest common factor of l and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67 and -64.\nAnswer: 4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 - (-2 - (-8 + 0) - -2) - -43?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 234*a - 233*a - 1, 5*w + 37 = -3*a for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -404.4 + 404.4002096. Round q to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoailuhiiohh. What is prob of picking 1 o and 1 l?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/120 + b**5\/10 - 5*b**4\/24 + 7*b**3\/6 - b**2. Let o be a(-7). Let x = 12 + o. Is x at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, 74, 109, 144, 179?\n\"Answer: 35*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2 + v**2 - 5 + 4 + v. Suppose -g + 0*g + 25 = 3*t, -5*t = -3*g - 37. Suppose 0 = -x + 11 - t. Calculate c(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4 = 2*k, -2*k + 11511*b - 11507*b = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/591 and 125\/37824?\nAnswer: 37824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -401\/13. Let w = -0.0613 - -0.0453. Let i = 128 - 126. Which is the third biggest value? (a) o (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60589747 to the power of 1\/2, to the nearest integer?\nAnswer: 7784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/63)\/(2\/(-63)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6332591*g**3 + g - 18784957?\nAnswer: 18997773*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0916184 and -0.4.\nAnswer: 0.03664736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 124?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -25. Calculate the lowest common multiple of (-7 - 781\/44)*(-8)\/6 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89429*d**3 - 32496*d**3 - 101969*d**3.\nAnswer: -223894*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 63*s**2 - 61*s - 59. Let r be t(62). Suppose 2*d - 3*b + 3 = 0, 8*b - r*b = 5*d. Factor -24\/13 - 2\/13*w**d - 32\/13*w - 14\/13*w**2.\nAnswer: -2*(w + 2)**2*(w + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/624830 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**3 + 11*h. Let s(y) = y**3 - y. Let q(p) = -f(p) - 5*s(p). Suppose d = -4*d - 30. Let n(j) = 11*j**3 + 5*j. What is d*n(m) - 5*q(m)?\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*p - 1. Let q(g) = -7*g**3 - 4*g**2 - 3*g + 2. Let v(a) = -6*a**3 - 4*a**2 - 3*a + 1. Let i(z) = 5*q(z) - 6*v(z). Is 2 a factor of i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12667 + -8385. What are the prime factors of g?\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*c = -90844 - 233220. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -340, -336, -330, -322, -312, -300?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/14)\/(((-1548)\/(-126))\/(-43)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 3 = 177. Let d be o\/28 + (-18)\/(-14). Solve 6*p - 26 = -d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*p - 3*l + 465, 0 = -3*p + 2*l + 475. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1539 and 110637?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a - 28 = -4*w, -4*a = -2*w + 24. What is the tens digit of (5710\/(-10))\/(0 + (-2)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55.8 - -56. Let h = -775\/1841 - 2\/263. Sort j, h, -4 in descending order.\nAnswer: j, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.62971 - 0.63. What is l rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + s + 1. Let n be (2 + 0 + -1)*-1. Let f be c(n). Suppose t + 2 = f*t. Solve -5*q = t*i - 29, 18 = 3*q + 4*i - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6616.8 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -133.6 * 0.02\nAnswer: -2.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1 - 0)*7\/(-56)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/89 in 0.56, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*f - 22 = -2*f, -5*f + 10 = -4*h. Which is the second smallest value? (a) 0.054 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1647)\/(-45) - -19) + (-629)\/(-185).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.1100233.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/343536 and -59\/1033976.\nAnswer: 105465552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f**2 + 1\/2*f**5 + 0*f**4 + 1\/2*f - f**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y**2 - y + 2. Let a be g(-4). What are the prime factors of a\/(-230)*1145\/1?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2229535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -782*c**2 - 11*c + 11. Let x(g) = -155*g**2 - 2*g + 2. Determine -22*x(l) + 4*z(l).\nAnswer: 282*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 523, 4630, -1, 4 in descending order.\nAnswer: 4630, 523, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.1, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = 11*b + 7*b - 59555. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -778739284*x**2 - 1420785681*x?\nAnswer: -1557478568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m. Suppose 4*a + m*a - 60 = 0. Let x = a - 8. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4495 - 4174. Calculate the remainder when g is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177731 is divided by 29620.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 1, -23, 16, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*z**2 - 56*z**2 - 351*z**2 + 70*z**2 - 138*z**2.\nAnswer: -590*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h\/h**(-2\/13))\/(h**(1\/3)\/(h**(5\/2)\/h*h)))\/(((h**(-4)*h*h*h)\/h)\/((h*h*h**6*h)\/h))**(2\/15) assuming h is positive.\nAnswer: h**(173\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 2, q: 1, d: 1, h: 5, y: 3}. Give prob of picking 1 h, 1 d, and 1 u.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 25*w - 71, -3*f = 361*w - 360*w + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*0.0754184\nAnswer: -0.000754184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*p**4 - 1005550*p**3 + 670360*p**2 = 0. Calculate p.\nAnswer: 0, 2\/3, 67036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -1.9. Let u = 2.00001 + f. Let m = 0 + u. Round m to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, 331791, 0.4.\nAnswer: -0.3, 0.4, 0.5, 331791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and 469 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 7*x + 16*x)*(3 + 0 - 1) as j + l*x and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 17*o**2 + 17*o**2 + 4*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3545535 (base 6) to base 5.\nAnswer: -21412230","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222)\/(-132) + -1)*((-72)\/60 - -2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -1.96. Let j(b) = -b**3 + 6*b**2 + 5*b - 9. Let g be j(6). Let d be (-2)\/(-6) - 14\/g. What is the nearest to d in x, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9590863 is divided by 737750.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*s = -279*s - 147*s - 11265 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 - (1 - 3) - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/11)*z**(-6))**(-1\/59))**12)**28 assuming z is positive.\nAnswer: z**(22848\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.27579 to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Let l(o) = -95702*o**2 - 1317*o. Let b(g) = 1311*g**2 + 18*g. Let i(f) = -439*b(f) - 6*l(f). Calculate s(i(a)).\nAnswer: -1734489*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 3:03 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 125376 divided by -24\nAnswer: -5224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211233011 + 11?\nAnswer: 211233022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggwt when four letters picked without replacement from {t: 1, w: 2, g: 5, p: 1}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/9)\/((-2)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o + 4*o = 640 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 56*l**2 - 2*l + 5. Let w(q) = -84*q**2 + 3*q - 8. What is -8*f(p) - 5*w(p)?\nAnswer: -28*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.5 + 63. Put 2\/5, -1\/3, w, -2\/3 in decreasing order.\nAnswer: 2\/5, -1\/3, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.9 + -19. Let r(k) = -k**2 + 2*k - 1. Let o(c) = -c**2 - 4*c. Let m be o(-3). Let n be r(m). Put n, -1\/6, s in increasing order.\nAnswer: n, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10667918.\nAnswer: 2, 5333959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 2 - 8 - 10 - 3 + 1828*s)*(s**2 + 49*s**2 - 6*s**2).\nAnswer: 80432*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/12 - (-27 + 31). Are w and -0.04 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8651372595\/22681 - -381437. Are -1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 905143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -598?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 6*g + 0*g**3 - 3 + 4*g**2 + g**2. Let a be n(-6). Let v(i) = i + 9. Let c be v(-11). Sort 2, c, a in descending order.\nAnswer: 2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 753, 0, 2\/85?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -922214.078 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w\/(w**12\/w)))*w**(-7)*w**1*w**18 assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770*w**3 - 3*w + w + 2*w.\nAnswer: 770*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -302, -951, -2040, -3575, -5562?\n\"Answer: -f**3 - 214*f**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 - 6*d + 6. What is x(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijjv when four letters picked without replacement from {v: 2, j: 7, i: 11}?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1682 + -1669. Solve 0 = -12*d + a*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/7, -0.04.\nAnswer: -0.04, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37807 is divided by 302.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1836 (base 9) to base 13\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30402201 (base 5) to base 9.\nAnswer: 416050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.3 (b) -2 (c) 1\/2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16736411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 24 = -5*d, 3*d + 6 + 2 = 2*a. Solve 0 = 4*z - 5*w - 0*w + 14, z - a = -4*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a (base 11) to base 6.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*f - 32, -f + 4*f = -4*n - 28. Let d(u) = 11*u - 1. Let s(c) = -3*c. Let o(v) = -d(v) - 5*s(v). Calculate o(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 11 + 16 + 6*b**2 + 3*b**2 - 8. Is x(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 6*x. Let u(p) = -p - 21. Let j(k) = 7. Let h(y) = -3*j(y) - u(y). Determine a(d) - h(d).\nAnswer: d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 - 6. Let x(b) = -b**2 + 14*b - 12. Let v = 297 + -297. Let c be x(v). What is the biggest value in 3, c, 1, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*n**5 + 356*n**3 + 150*n**2 + 6599905*n - 1 wrt n.\nAnswer: -300*n**3 + 2136*n + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 2*o**2 - 2 - 7 + o to r*o + v*o**2 + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 + y - 2. Let z = -17 - -15. Let n be v(z). Let u = -2 - -6. Solve -n*p + 4*p + 2*i = 6, -u*p + 15 = 5*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 9 - 4. Let p be 2\/1 - (k + 1). Suppose -y - 1 + 6 = p. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278577.\nAnswer: 421, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z = 73*z - 100 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6*x**2\/11 - 120*x\/11 + 216\/11 = 0.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2614 or 78.3?\nAnswer: 78.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 23 + 0*o + o.\nAnswer: -o - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - y = 0, -72*y + 68*y + 8 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in -0.01, -0.025, 3\/4, 6284?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i = -31*i - 24. Suppose r - 16 = -i*x, -8*x + 3*x = 4*r - 31. Solve -6*o + r = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c**2 + 4*c - 2. What is w(3)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*x**3 + 28160\/3 + 2240\/3*x - 50\/3*x**2.\nAnswer: -5*(x - 22)*(x + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/30*((-138)\/(-4))\/(306\/408)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.556539589 less than -1132416?\nAnswer: -1132416.556539589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229180?\nAnswer: 2, 5, 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 29*w**5 + 3*w. Let a(u) = 14*u**5 + u. Let t(h) = -5*a(h) + 3*q(h). Find the second derivative of t(v) wrt v.\nAnswer: 340*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/45 - 29\/45. Let l = -94.382 + -0.618. Let w = l + 100. Which is the second biggest value? (a) -0.4 (b) o (c) w (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14233305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 30*c + 55. Let h be q(-17). Let b = -584 - h. Sort 8, 2, b, 0.\nAnswer: 0, 2, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 + 9*q**2 - q + 3. Let u(o) = 2*o**3 + 8*o**2 - o + 2. Let g(p) = -3*n(p) + 4*u(p). Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3695, 3708, 3727, 3752?\n\"Answer: 3*b**2 + 4*b + 3688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -470922 divided by 2\nAnswer: -235461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39505.\nAnswer: 5, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 + (-77 - (84 + -74)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 29*w**2 - 6 + 25*w**2 - 55*w**2 as h*w + j*w**2 + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-8 + 3 - -3). Let v be (-9*(h + 4))\/1. Round v to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41296 + 6540 = -1754*y - 25832 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d**2 - 4*d**2 + 3*d**2)*(-4 + 1 + 5) - 857*d - 722*d**2 + 2 + 857*d)*(-6*d**3 + 3*d**3 + 5*d**3).\nAnswer: -1452*d**5 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3\/5 (c) 6 (d) -6 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024713156 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 17*t + 15. Let a be 75\/6 - 1\/(-2). Let w(m) be the third derivative of -m**5\/60 - m**4\/3 + 7*m**3\/6 + 2*m**2. Determine a*w(s) - 6*g(s).\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 35. Let m = 21.9231 - 0.0231. Let f = o + m. What is f rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and 18297.\nAnswer: 18296.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 916805 - 458402 + 0*w**2 - 9*w**2 - 458401.\nAnswer: -26*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 times 11\nAnswer: -0.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*h**5 + 14*h - 58*h + 15*h**5 - 39*h wrt h.\nAnswer: 980*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:39 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, x: 12, y: 2}. Give prob of picking 3 x.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - 2*q. Let w be i(-3). Suppose 0 = y - w - 1. Solve -5*p - y = 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - 3*d + 5*d)*(6*d - 11*d - 6*d + d - 4 + 4 + (d + 1 - 1)*(2 - 2 - 2))*(3*d - d + d) to the form r*d + s*d**3 + m*d**2 + n and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4331344245?\nAnswer: 3, 5, 23, 191, 65731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(24)*3)\/sqrt(12).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 9}. Give prob of picking 1 w and 1 o.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95330944609.554 - -95332620978.59200037. Let x = -1676369 + u. Let o = x + -0.038. What is o rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -776 + 759. Which is smaller: a or -83\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, -46, 43, -45, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3 - 3*h**4 - h - 2*h**5 + 5*h**5 + 6*h**2 - 6*h**3 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(187)\/(sqrt(44)\/sqrt(4)) - (5*(0 + sqrt(833)))**2.\nAnswer: -20825 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 10 + 5. Suppose -y*i + 7 = -118. Calculate the common denominator of (-14)\/4 - (-3)\/(-18) and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 divided by -2397?\nAnswer: -118\/2397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36 - (-4)\/(16\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*y + 4)*((4*y - 3*y - 3*y)*(0 + 0 - 1) - y - 1 + 1 + 0*y + 4*y + 0*y) to v + k*y + c*y**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - 2*d**2)*(-49*d - 4 + 22 + 56*d - 2*d**2).\nAnswer: 4*d**4 - 14*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -7. Let v = 0 - l. Let b(j) = j**3 + 14*j**2 - 10*j - 128. Let z be b(-14). Solve -3*r - 36 = -4*f + v*r, -z = 3*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = -85*t - w, -6254*w + 6253*w - 10 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + 36 + -152 - (1 - -2 - 5)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -405?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 1:56 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 0)**2 + (sqrt(5) + 0 + sqrt(5) + -2)**2.\nAnswer: -8*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329 and 4494140?\nAnswer: 4494140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -81\/4 (c) -126 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12.775 * 0.5\nAnswer: -6.3875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 12*m**2 + 4. Let l be n(12). Suppose -2*a + 2*v + 10 = 0, 2*a + l*v - 8 - 14 = 0. Suppose 5*c = a + 8. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 1.2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -0.1 (c) 12.73 (d) 185\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 - 2200*u = 0. What is u?\nAnswer: 0, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37824031885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2*u**3\/33 - 111*u**2\/11 - 2020*u\/11 + 420. Find c such that b(c) = 0.\nAnswer: -101, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*a + 15, -4*u = -a - 5 - 10. Suppose -u*h = -6 + 21, 9 = -z - 4*h. Suppose z*d - 1 = 17. Solve -2*w = -2 - d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178.6*-649.1.\nAnswer: -115929.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u - o + 138, 4*u = -4*o + 184. Calculate the highest common factor of 598 and u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, 1851, 3.\nAnswer: -17, -1, 3, 1851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/14 + 1275\/(-105). Let m(g) = -g**2 - 9*g + 38. Let r be m(x). Suppose -2*f = 2*v - 454, -r*f + 2*v + 224 + 214 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 divided by -2863?\nAnswer: -110\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/5 - 994*d**4\/5 - 4150*d**3 + 71242*d**2\/5 - 800*d - 19000 = 0.\nAnswer: -475, -25, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 967342326 to the nearest integer?\nAnswer: 31102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*b - 291, -2*x + 4*b = -7*x + 333. Calculate the remainder when x is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 2*p**6\/15 - 3*p**5\/10 + 83*p**3\/6 + 3594*p**2 + 24*p - 57. What is the first derivative of l(z) wrt z?\nAnswer: 16*z**3 - 18*z**2 + 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/3 + 61*l**4 + 182*l**3\/3.\nAnswer: l**3*(l + 1)*(l + 182)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(3 + sqrt(275) + 0 + 4 - (-2*sqrt(275)*6 - (4 + sqrt(275)*-2)))**2*-5.\nAnswer: -333961 - 12100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -4)\/(1*2). Let o = 38 + -13. Let l = o + -26. Put a, -5, l in increasing order.\nAnswer: -5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 97*o**2 - 58*o - 112. Let a be j(-2). What is the greatest common divisor of 1862 and a?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, m: 3, a: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6.4. Let z = -88.5 + 88.8. What is the closest to -1\/3 in 1, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let r = 0.07 + 2.83. Let j = r - 3. Do j and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 + 3*c. Suppose u - 3*r - 17 = 0, -4*u + r + 4*r = -33. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9441 - 1.0559. What is the closest to 2\/5 in 1\/13, -0.5, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = 3*c, 11738 = 3*j + c. List the prime factors of j.\nAnswer: 2, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 102 (b) -17 (c) -1490 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1 + 0*v**3 + 85*v + 0*v**5 - 45\/2*v**2 - 53\/30*v**6 + 0*v**4. What is the derivative of q(a) wrt a?\nAnswer: -212*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69698 - 69694. Let g = -13 + 44. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -7*u + 78 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -20 + 27 + 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6738944*h**4 - 19511646*h wrt h.\nAnswer: -80867328*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1432 is divided by 275?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**3\/3 - q**2 - q - 5. What is the least common multiple of 10 and y(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 80*w**3 - 95*w**2 + 170*w.\nAnswer: 5*w*(w - 17)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 355*s**3 - 16*s**2 + s + 2. Let q be l(-12). Let n = 414436 + q. Let a = n - -105318. What is a rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9806, -17126, -24446, -31766, -39086, -46406?\nAnswer: -53726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -122*n - 53. Let j(r) = -123*r - 54. Let p(w) = -5*j(w) + 6*q(w). What are the prime factors of p(-4)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 7*q**5\/60 - 4*q**2. Let a be n(-1). Suppose 3*s + 1 = a. Put -4, s, 0.4 in descending order.\nAnswer: s, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (691015*k + 691014*k - 1382036*k - 3658)*(3 + 0 - 1) as r + a*k and give r.\nAnswer: -7316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 6818?\nAnswer: -8\/3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 3*g**2 - 2*g - 3. Let l be m(3). Let b be 51\/l + (-3)\/(-18). Sort b, -3, 2.\nAnswer: -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 758520180\/420 - (-6)\/(-14). Round o to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/6433 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12495)\/(-25) - 2\/(-10). Suppose 250*o - 266*o - 192 = 0. What is the remainder when 1\/(3\/o + n\/1936) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37007654 is divided by 51?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 190860696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 972 and 15?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128 or -906\/7?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 7*c + 24. Let m be g(-6). Let r be (-78)\/m + (-3)\/2. Is 1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by 1000.\nAnswer: 73\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12928827 and 81789.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y**3 + 3*y**2 + 9*y + 9. Let l(k) = -25*k**3 + 8*k**2 + 20*k + 19. Let c(g) = 4*l(g) - 9*w(g). What is c(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -6*l + 95 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -152*i**2 + 3*i + 1. Let f be j(3). Let x be f\/49 + (-4)\/14. Calculate the remainder when 8\/x + (-93)\/(-7) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/14611156 and 89\/10444?\nAnswer: 14611156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 4*j + 2. Let c be d(-7). Suppose 0 = b + 3*b - 76. Suppose 0*s + 4*s - 5*r - b = 0, -r - c = -4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211121 (base 3) to base 5\nAnswer: -20324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419902 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11498*g = -11496*g - 90 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008216 rounded to 7 decimal places?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*d + 3*m - 17, -15*d - 7*m = 20*d - 34*d - 14 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 1 = -11. List the prime factors of (0 + 14)*(-7)\/(-2)*y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 46*v + 277 = 45*v, -428 = -3*n + 4*v. Let h be (68\/n)\/((-17)\/(-84)). Factor h*s**2 - 98\/17*s**3 + 8\/17 + 48\/17*s.\nAnswer: -2*(s - 1)*(7*s + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = 26 + 8. Let g be (-10)\/a*-1*-1 - 1. Solve g - 24 = -5*c, -2*v - 2*c = -6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27684531 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1044.5598 to zero dps.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 6*r - 2. Suppose u - 4*q - 7 = 0, u + r*q + 2 = 3. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 115735, 115738, 115741, 115744, 115747, 115750?\n\"Answer: 3*w + 115732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/24 - 7*f**3\/6 - 13*f**2 - 10. Let k(c) be the second derivative of x(c). What is k(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 11118*w - 11120*w + l, -3*w - 4*l - 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/5 + 32*w**2\/5 + 16*w - 640 = 0.\nAnswer: -20, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 13*j + 8. Calculate a(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmvnnvku. What is prob of sequence rvkm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 215199336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122062 is divided by 677?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w + 103*w - 121*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3 + 12*j + 8*j - 21*j. Determine v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34b4 (base 12) in base 15?\nAnswer: 1b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -27*g**3\/4 + 1890*g**2 - 176400*g + 5488000 = 0.\nAnswer: 280\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 20*f**2 + 3964*f - 35825. Give l(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533 a factor of 94271835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250 by -50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from fvwwwvw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 9 = -3*k. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 3*o + 20. Let z = o - -4. Let i(d) = -4*d**3 + d**2 - 1. Give i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19152 and 513.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z - 41*z + 2*z**2 + 17*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 + -2 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, 0.2, 0, 1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 3, g: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 44*j - 22. What is the units digit of n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484175328 a multiple of 5187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (-36)\/(-24)*-22. Solve -w - 15 = 3*j, 25 = -p*j + 23*j + 3*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + w**3\/3 - 3*w**2 - 4*w. What is the units digit of f(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = 61*f - 410 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*o**2 - 2*g**3*o - 663700*g**3 - 2*g**2*o**2 + 3*g**2*o - 25515*o**2 + 2*o wrt g?\nAnswer: 6*o**2 - 12*o - 3982200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2581, 3942, 4091, 3028?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31773855.\nAnswer: 3, 5, 239, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 24095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 2*q = -q. Suppose -z - z = -x + 726, q = 5*x - 5*z - 3645. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 3*s**2 - 4*s - 5. Let z be c(-2). Is z bigger than -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.11726 + 0.11726. What is the biggest value in 0.5, l, 31, -0.06?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/((-705)\/(-30)) + (-50)\/(-22)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 225172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664514?\nAnswer: 2, 53, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4 - 8. Suppose 99*i - 104*i + 233*i = 0. Suppose -4*r - 20 = 4*x, 4*r + 6 = 2*x + x. Sort 4, z, i, x in descending order.\nAnswer: 4, i, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/(59\/177)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*j = 3*y + 121, 4*y - 5*j = 469. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 5*z + 9. Let g(a) = -a**2 - 5*a - 9. Let j(h) = 3*g(h) + 2*t(h). Let l be -4 + 13 - (1 - -1). What is the units digit of j(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54401 (base 8) to base 10.\nAnswer: 22785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -46. Let k = 21 - 20. Suppose 8*r - 4*r + k = s, -5*r = 3*s - 20. Solve d + 9 = -5*p + 3*p, d - s*p - z = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/16)*n*n**(-5)*(n*n**(-1\/3)*n)**(-6))**44 assuming n is positive.\nAnswer: n**(-2299\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + -2 + 24 - (13 + -1)) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 6 - q**3 + 0*q**3 + 36*q**2 - q**3 in the form c*q**2 + t*q**3 + v*q + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36371689 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-294)\/(-156)*12\/(-90) - (-4 + 57\/15)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30003\/70007)\/((-3)\/(-182))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhjjhhjjkjhjkhkkjhk. Give prob of picking 2 j and 1 h.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o)**(-20\/7) assuming o is positive.\nAnswer: o**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1098, -3383, -7184, -12501, -19334, -27683, -37548?\nAnswer: -48929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 29 + 93 = 0. Find x such that 8*x**3 - 11*x - 4*x**5 - o*x + 23*x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532962 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*g - 2538 = 0, 2*i + 16*g - 11*g = 2538. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. What is the first derivative of 3*m + f - 3 - 1 wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 30*n - 56 = 58*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520767106 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0.4, -7\/100861 in increasing order.\nAnswer: -3, -2, -7\/100861, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 10*i**2 + 13*i + 13. Let f be l(8). Let y be (f - -16) + 85\/(-25). Let -2*o + 0 + 2\/5*o**3 - y*o**2 = 0. What is o?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2817905 is divided by 340.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 + -8 - (1 + -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**3)**(7\/6))**(-46) assuming k is positive.\nAnswer: k**(322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31731 is divided by 4540.\nAnswer: 4491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -10)*(16 + -6). Calculate the greatest common factor of h and 392.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -1.95. Let n = 1 - o. Let j = 2.01 - 0.01. Is j at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8136 is divided by 4063.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1087.356 tonnes to micrograms.\nAnswer: 1087356000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a - 30 = -77*a + 5*n, 4*a = n + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1197343 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2445 (base 7) in base 10?\nAnswer: -915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - -212. Suppose 4*i = p - 18. Suppose -10*g = -9*g - i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4021767 micrometers in centimeters?\nAnswer: 0.00004021767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 2, i: 4}. What is prob of picking 2 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 - 248. Suppose -g*h = -8916 - 1875. What is h rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56876476\/357 + 159318. Let b = y + -26147\/5712. Let g = 433\/3 - 4051\/30. Find the common denominator of g and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8) + 1)*2. Let t(p) = g*p + 151 - 154 + p. Let h(d) = -21*d + 14. What is -3*h(r) - 14*t(r)?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*w = 245, 2*v = 2*w + 85 + 345. Is 6 a factor of (-4)\/(-14) + v\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/(105\/(-50) + 2). Suppose 8 = n + y. Solve -2*k - 2 = -2*j, n*k + 5 = 5*j - k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155.6 + 144. Let v = -14 - h. Let n = -2.5 - v. Sort n, 3, 1.\nAnswer: n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -3)*2\/2. Let c be (0 + -17)*(-6 + j). Suppose -3*f - 698 = -4*z + 535, -z = -3*f - 315. What is the highest common divisor of z and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2048, -578, -4958, -11092, -18980, -28622, -40018?\nAnswer: -53168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -38*y**3\/23 - 186*y**2\/23 + 248*y\/23 - 24\/23 = 0.\nAnswer: -6, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1001.8 - 923. Let p = -79.2 + n. What is the third biggest value in -0.05, -3\/4, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 21 = u. Suppose -5*c = -u*c + 78. What is the remainder when c is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 29*r**2 - 6*r**2 - 11*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9491.684 centuries in months?\nAnswer: 11390020.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431836697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7524, -10800, -16262, -23910?\nAnswer: -33744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5\/3 + 2812*j**4\/3 - 16964*j**3\/3 + 36820*j**2\/3 - 34016*j\/3 + 11344\/3 = 0. Calculate j.\nAnswer: -709, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 8. Suppose 3*o - 3*s = 96, p*o + s - 32 = 91. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116026, -2232055, -3348084, -4464113?\nAnswer: -5580142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 496.\nAnswer: 3\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24\/11, 5 in increasing order.\nAnswer: -24\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2331 is divided by 1646.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -47147*s**3 - 3250*s**2 - s - 4. Let j(a) = -9429*a**3 - 654*a**2 - 1. Let v(f) = -11*j(f) + 2*q(f). What is the third derivative of v(g) wrt g?\nAnswer: 56550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*b**2 + 217*b**2 - b**3 + 272*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 = -5. What is the lowest common multiple of y and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:21 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s - 6 = -43*s. Let w be (-8)\/(-1) - s\/14*7. Solve 0 = -4*n + 1 - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3566660 (base 9) in base 16?\nAnswer: -1d8218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwagddgqzawq. What is prob of picking 1 q and 1 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-9))\/2*21. Suppose 0*p = -2*p + k. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 42. What is j(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 398*g**2 + 119*g**2 - g**3 + g.\nAnswer: -g**3 - 279*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from fbyfffbbuufbfffbfb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6950 and 39\/8.\nAnswer: 27800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1.33894.\nAnswer: 1.33894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/l*l**(-1\/16) assuming l is positive.\nAnswer: l**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/5, 0.2, -5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*y + 5*n + 35, 5*y + 40 = -3*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216 + -671. Let i = -301 - x. Suppose -22 = 6*w - i. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256498 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.26 - -0.19. Let m = 30.17 + -30. Let c = m + s. What is the third smallest value in -0.3, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1023930 and 11\/13950.\nAnswer: 5119650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0 + 4 - 2)*(3*h - 4*h + 4*h).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 123517519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 5*n + 5*n)*(138 + 126 - 234).\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d + 23*d**3 + 25\/2*d**5 + 0 + 75\/2*d**4 - 6*d**2 = 0?\nAnswer: -2, -1, -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieff when four letters picked without replacement from {p: 6, i: 3, f: 2, e: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182487 is divided by 6540?\nAnswer: 5907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16077, 32154, 48225, 64290, 80349?\nAnswer: 96402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*(-24)\/16. Solve 2 = p*w - w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*q + 36 = 30*q + 44*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 516016208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**7\/56 + 3*l**5\/40 - l**3\/8 + 2*l. Determine y so that d(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 6*v - 50. What is the highest common factor of v and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -13. Let s = 903 + -905. Sort j, -3, s in increasing order.\nAnswer: j, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, e: 2}. Give prob of sequence eeoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660 by -22.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1501 or 1538?\nAnswer: 1501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/63 (b) -3\/2 (c) 0.1 (d) 21 (e) -0.025\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f*l**3 + f*l**2 - 5*f*l + 108177*l**3 - 143879*l wrt l?\nAnswer: -24*f + 649062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 290364362*r**3 + 2*r**2 + 184292058*r + 1?\nAnswer: 1742186172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**4\/12 - p. Let z be (-6)\/7*(-98)\/21. Let j(k) = z*k + k - 5*k - 2*k. Calculate b(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 2\/3, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrirrrhrrrrrirri?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 8*z**2 + 2*z**2 + 4*z**2 - 25*z**3.\nAnswer: -25*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-5) - 51\/(-85)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -370, -1, 1, 221, -5, 5.\nAnswer: -370, -5, -1, 1, 2, 5, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 5*z = -1705. Suppose -2*u = -z + 5. What is the remainder when 223 is divided by u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 10 = -12*y, 5*m - y = -5. Suppose 284 = -7*r + 8*r + 4*u, -2*r - 4*u + 568 = m. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccbcb. Give prob of sequence ccb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*m - 23897 + 12794 - 21*m + 10*m**2 - 18*m**2 - 7*m**2 with respect to m.\nAnswer: -30*m + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127.3 + -127. Which is the nearest to 1? (a) 2\/9 (b) -1 (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 6. Let y be h(-6). Suppose y*l + 3*l = 6. Suppose l = 4*j - 10. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.2446 to one dp.\nAnswer: -175.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)*i**(1\/3)*(i**(-4\/3)*i)\/(i*(i*i**(2\/5))\/i*i) assuming i is positive.\nAnswer: i**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 2*l**4 + 3*l**2)*(0*l - 4*l + 5*l) + (-l + l + l**2)*(3867*l**2 - 3867*l**2 + 443*l**3).\nAnswer: 441*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11333578609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*u*v + 1743*a**3*u - 72*a**2*u + 2*a**2*v - 2*a*u - 2*a - u wrt a?\nAnswer: -6*u*v + 10458*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 - 151*b - 1771. Give m(-12).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11031 - 10847. What is the least common multiple of 138 and d?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -45*j**3 + 192*j**2 - 228*j + 48 = 0.\nAnswer: 4\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-16)\/(-10) - 136\/(-40). What is the third derivative of r*v - 3*v + 7*v**2 - v + 30*v**4 wrt v?\nAnswer: 720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 11:36 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -63, -4\/7, -5?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -18 - (35 - 37) - (59 - 8).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3*t**3*z**3 + 429*q**3*t**3 - 2*q**2*t**2*z**3 + 5*q*t**3*z - 21*t**3*z**3 wrt q.\nAnswer: -12*t**3*z**3 + 2574*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 139\/161, 14?\nAnswer: 139\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c9833 - 5?\nAnswer: -8c9838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -11. Let j be 1 + -2*1 - l. Let g = j - -12. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111010020 + 1011?\nAnswer: -10111002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*l = 80, -121616*n + 121612*n + l + 30 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22229*y + 21749*y + 462 + 23 with respect to y.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**14*u**(-27) assuming u is positive.\nAnswer: u**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a minute in seconds?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2960, 5938, 8898, 11846, 14788?\nAnswer: 17730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-8 + 1)) + -1 - (-175 + 58 - -109)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 - 10*y**3\/3 + 3*y**2\/2 + 21*y - 9. Let b be q(9). Suppose -6*n + 14 - 218 = 0. Which is greater: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 14*p - 15*p. Let b = -15 + 15.7. Let v = -1.2 + b. Put 2\/23, v, p in decreasing order.\nAnswer: p, 2\/23, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -81. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155\/2 - 78. What is the second biggest value in o, -0.02, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 + 2454*c**2 + 6017205*c - 24108100.\nAnswer: (c - 4)*(c + 4910)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0) + (-5 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 177. Suppose 0 = -7*f + m + 390. Suppose f - 51 = 2*i. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.86 - -0.7. Let v = n - -0.15. What is v rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -538 - -214. Let k = -294 - n. What is the lowest common multiple of k and 76?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (23 + -21)\/(4\/10). Solve -4*o - 14 = -b, -5*o - b - 8 = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 13*p + 6, 23 = 5*h + p. Suppose 2*y - h*r = -9*r + 65, 3*y - 101 = -4*r. What is the remainder when 208 is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1362*z + 102154. What is y(75)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 12*h + 239 - 365 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = -w, w + 7 - 4 = 5*q. Suppose q = 19*y - 16*y - 96. Let l = y + -2. Solve 6*b - 4*b = -5*p + l, -4*b + p = -16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 11)\/((-82)\/16 + 5). Let v = -78 + o. What is the first derivative of -2 + 22*y**v - 6 - 1 - 12 wrt y?\nAnswer: 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**43*p)\/(p\/p**(-31)*p*p*p) assuming p is positive.\nAnswer: p**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, t: 5}. What is prob of picking 4 z?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19830107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45708147 to the power of 1\/2, to the nearest integer?\nAnswer: 6761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c = 13*c + 3388. Calculate the remainder when c is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k = -18*k - 868. Calculate the remainder when 1330 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -235674700 + 235674696.80000163. Let p = g + 3.2. What is p rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -z - 2*n, 4*n - 15 = -25*z + 30*z. Solve -5*s - 15 = -2*x, 3*x + 13 - z = -4*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 15*y**2 + 2*y**2)*(1 + 2 - 5)*(-y + 7*y - 3*y).\nAnswer: -78*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/7)\/u**(3\/2))\/(u**(-2)*u**(-3\/4)))\/((u**(-1)*(u**(5\/2)\/u)\/u)\/(u**(2\/29)*u**(-4))) assuming u is positive.\nAnswer: u**(-1191\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 1799*r - 19673. Calculate z(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.8816 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35984244 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12030213 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75751348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (78\/195)\/(12\/10). Let m = 0.56 - 0.513. Are m and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:51 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249*n - 249*n - 23*n**2)*(-2 + 2 - n**3 - 1).\nAnswer: 23*n**5 + 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2531123 divided by 361589.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 11, r: 5}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -202.\nAnswer: -19\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.1, -2\/17, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -35251.65 to the nearest ten.\nAnswer: -35250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4122 - 4122.0003941. What is k rounded to six dps?\nAnswer: -0.000394","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o + 3*o - 30. Suppose 0 = -y, o*y = -5*g + 9 + 21. Solve g = -2*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:15 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a - 286 = -6 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 10*b + 17. Let r be z(6). Suppose -1465 = -2*w + 417. Suppose 4*l + 4*h - h - 1889 = 0, r*h - w = -2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875)*2 - sqrt(875))*-5 + sqrt(875) + sqrt(875))\/(-3*-5*sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -92*b**2 + 188*b - 3. Give o(-3).\nAnswer: -1395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-17))**(-2\/67)\/(v**(8\/3)*v*v**(-1\/7)*v)**39 assuming v is positive.\nAnswer: v**(-1235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132361110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**13)\/(i\/i**10))\/(i*i\/((i\/(i*i*i**4))\/i))**(-1\/24))**(-3\/13) assuming i is positive.\nAnswer: i**(-70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-7\/3)*l)\/l)\/(l\/l**10*l))\/(l\/(l\/(l\/(l\/(l**(1\/3)\/l))))*l**18) assuming l is positive.\nAnswer: l**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzeezezeezzzzzezzze. Give prob of sequence ezz.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 246 = -b - t, -4*t = 2*b - 246. Suppose 414 - 3622 - 536 = -208*a. Calculate the remainder when b is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2476 - 1326. Calculate the greatest common factor of 50 and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1438 - 170 = -72*t - 96 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhwwhyyyhwhyhyywww. Give prob of picking 1 y, 1 w, and 2 h.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1059*(1 + -2)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1841125 + 2.185. Round k to 5 decimal places.\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -23*d - 75 + 27*d + 11*d. Let n be k(5). Solve -4\/3*w**4 + 0*w + 0*w**2 + n + 4\/3*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38160639 or -38160640?\nAnswer: -38160640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 69474 (base 11) to base 7\nAnswer: 565453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12022 (base 3) to base 4\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.3412?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 84. Let z(f) = -848*f - 9. Determine z(g(i)).\nAnswer: 848*i - 71241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 6*k + 5. Let d be p(-6). Suppose d*g - 9 = 11. Suppose 2*i - 38 = -4*m, 5*i = -2*m - g + 11. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 4 (c) -0.1 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 + -181.6. Which is the second smallest value? (a) -1\/8 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54 + (2\/(-1) - -3). Let m = -163\/3 + h. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k - 4. Let x be d(2). What is the greatest common factor of 60 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 1 = 3*q, 0 = 5897*z - 5902*z + 3*q - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 19 = 4*x, -3*j + 3*x + 1 = x. Solve -j*m - 3*w + 6 = 0, 0 = -2*m + 7*m - w + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 306?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8086900 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = 214 - 78 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61546, -61496, -61446, -61396?\nAnswer: -61346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-18)*(-1)\/(-2)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 142*y**2 - 130*y**2 + 0*y**3 - 131*y**2 + 403*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 4*c = 15. Let a = 17.94 + -18. Put a, 4, c in ascending order.\nAnswer: c, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a - 2. Let g be d(2). Suppose 0 = -5*c + 10 + g. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26982 - -37541. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (80\/24)\/(2\/18). Let w be n\/4*24\/30. Suppose q = -w*c + 3*c + 233, -73 = -c + 2*q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 126\/(-28)*(-48)\/9. Let l be 133 + (-5 - -1) - -3. Calculate the highest common divisor of l and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57674971 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393461663?\nAnswer: 7, 37, 967, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11549 = -126*h + 569*h - 917 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 2117255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 372083627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -898434 and -898476 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Let x = -11.41 - 0.59. Let v = -9 - x. Which is the closest to h? (a) v (b) -4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 15*o + 56. Let t be j(-5). Find the third derivative of -2*i**3 + 5*i - 215*i**2 - 223*i**2 - 38*i**t + 442*i**2 wrt i.\nAnswer: -4560*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*j + 25 = 0, 27*j - 31*j - 39 = -5*n. Let o(d) = 3*d - 9. Let w be o(n). Solve 4*z + 2*z - w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - ((-57)\/9 + 6). Let d be 16*(s - (2 + -2)). What is the units digit of 1128\/d - (-3)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Let g = 1 + n. Let j = g - 5.4. What is the smallest value in -4, -3, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ciii when four letters picked without replacement from {i: 2, c: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 0)\/10*((-150)\/(-6) + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/8)\/(2\/96). Let x = -32 - g. Suppose 0 = x*u, -5*r + 5*u - 33 = -8. Put r, -4, 5 in increasing order.\nAnswer: r, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s\/(s*s**(-9\/7)*s)*s*s)\/s)\/s)\/s*s**(-22))\/((s*s*s**(-2\/57)*s*s)\/((s**(-27)\/s)\/s)) assuming s is positive.\nAnswer: s**(-21418\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 + 27*c + 5. Determine v(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1)*(-28)\/(-2064)*((-429)\/(-77) + -5)\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -10*z + 1310. Let c = z - 95. Do 48 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -110*s + 312. Determine b(2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 4*y + 9. Let s be h(-6). Let l = 50 - s. Let t(j) = -j**2 + 8*j - 5. What is the remainder when l is divided by t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -14*w**2 + 37*w + 1. Determine d(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*p**2 + 50*p**2 - 2*p**2 - 345*p**2 + 97*p**2.\nAnswer: -515*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48\/21 + 8\/(-28). Find the third derivative of -100*o**2 + 96*o**2 - z*o**5 + 12*o**5 wrt o.\nAnswer: 600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2276 times -0.2?\nAnswer: -0.04552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 860177159 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101001001110 (base 2) to base 15\nAnswer: -bad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 1, -4, -6, 4, -9 in descending order.\nAnswer: 4, 1, -4, -6, -9, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/11 (b) -1\/5 (c) 1.2709\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33887 + 33893. Sort 1\/4, 113, p, 0.5, -2.\nAnswer: -2, 1\/4, 0.5, p, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3961 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: Let g = -322 + 340. Let x(r) = -r**3 + 18*r**2 - r + 15. What is x(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t. Let d be ((-3)\/6)\/(1\/(-2)). Let a = 7 - 11. Put t, a, d in increasing order.\nAnswer: a, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, 14, -10.\nAnswer: -10, -3, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3012592386665+0.7\nAnswer: -3012592386664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -985+-4\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 2325.\nAnswer: 697.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -146?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 39*y - 7. Let x(a) = 40*a - 8. Let h = 3463 + -3468. Give h*x(z) + 6*w(z).\nAnswer: 34*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55275693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1759 or -1765?\nAnswer: -1765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2 - 2) + 13\/(-65). What is the nearest to -2 in -1\/6, 12, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + -3 + (-10)\/(60\/(-61)). What is the biggest value in b, 1017\/5, 0.3?\nAnswer: 1017\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555701 and 6023.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731864272?\nAnswer: 2, 41, 47, 56171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1516 + 3855. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2490*j - 21. Let x(u) = 593*u - 5. Let b(h) = -5*o(h) + 21*x(h). Let m(p) = 18*p**2 - 58*p. Calculate b(m(f)).\nAnswer: 54*f**2 - 174*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 w when three letters picked without replacement from {m: 8, w: 2, o: 5}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52815 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6469654 by 27.\nAnswer: 6469654\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 10*z**2 - 40*z + 391. Let s be c(10). Put -1, -7, s, 1 in decreasing order.\nAnswer: 1, -1, -7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7288 (base 14) to base 6\nAnswer: 231144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1735 + 1185 - 3*z + 0*z + z.\nAnswer: -2*z + 2920","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**3 - 41*d**3 - 18 - 11*d**3 + 74 + 85*d**3.\nAnswer: 2*d**3 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 3932\/3 - 1318. Which is the second biggest value? (a) t (b) 1\/3 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*t + 566, 3*t - 146 = 3*x - 491. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 + 36*k**3 + 235*k**2\/2 - 375*k.\nAnswer: -k*(k - 75)*(k - 2)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 273*h + 38823. Give x(376).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/5 + 26*s**3\/5 + 108*s**2\/5 + 184*s\/5 + 112\/5.\nAnswer: 2*(s + 2)**3*(s + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 4*n - 5*n)*(2*n**3 + 4*n**3 - 4*n**3) + 840*n**4 + 157*n**3 - 15*n**3 - 837*n**4.\nAnswer: n**4 + 142*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2628669 by -19.\nAnswer: 138351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:54 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:19 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 333355 divided by -319?\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5448416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 21*x - 20. Let w be j(1). Solve -2*l - 3 + w = -o, -10 = 4*o + 3*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i - 28*i - 2 + 19*i to the form z*i + u and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -358324\nAnswer: -716648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*4\/(-16)*-1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(1300) + -2) + -3)**2.\nAnswer: -560*sqrt(13) + 20849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 9. Let k be s(-7). Suppose -5 = -k*y - 3*y. Solve 4*i - d - 2*d = -y, 5*i - 7 = d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 864 + -1661. Let s = c + 2898. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*s**3 - 43*s**3 + 8*s**3 + (2*s + 2*s - 3*s)*(1 - 1 - s**2) - 5*s**3 + 4*s**3 - s**3 - 2*s**3 + 0*s**3 + 0*s**3.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -73.\nAnswer: 16\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -20. Suppose y = 4*c - 5, -2*y + 0*y - c + 8 = 0. Let i = n + y. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 25 - (0 - 6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - f + 16 = 0, 4*f = 136*z - 132*z. Sort -71, -5, -3, 0, z in ascending order.\nAnswer: -71, -5, -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 6999 = 5*f + 7009, -f - 24 = 2*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129469935?\nAnswer: 3, 5, 7, 1233047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/2 - 427183*o**2 + 284789*o\/2 = 0. Calculate o.\nAnswer: -284789, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*o - 22 = -0, 0 = a - 4*o - 58. Calculate the remainder when a is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -359, -704, -1047, -1394, -1751, -2124, -2519, -2942?\n\"Answer: -g**3 + 7*g**2 - 359*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10360, -20718, -31074, -41428, -51780, -62130?\nAnswer: -72478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*u - 23 = -4*s - 931*u, 3*s + 2*u + 2 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152692151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = m + m, -32 = -a + 5*m. Suppose 5*c + 6 = 16. Solve a = 3*z + 3*w, -8*z + 4*z + c*w = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 38 = -7*z, -17*z = 2*r - 22*z - 110. Solve 883*p - 878*p = -r for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u. What is the third smallest value in 2, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 12. Let y(r) = 9*r - 84. Let d be y(10). Calculate the greatest common factor of d and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 4*i**2 - 6*i - 5. Let h be b(-3). What is the closest to 0 in 6, 2\/5, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + y + 3*i - 13, 21 = 3*y + 5*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a**3*o**3*t - a**3*o*t + 3*a**2*o*t + 46*a*o + o**4 + 5*o**2*t wrt o.\nAnswer: 90*a**3*o*t + 12*o**2 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01717 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-12)\/108*(-1 - -28)*-1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 18, 20, 22, 24, 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1622 - 1619. What is the fourth biggest value in -0.1, -2, -624, x?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*p - 1416 = 0, 20*x = 25*x + 12*p - 7078. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269915931 to the power of 1\/2, to the nearest integer?\nAnswer: 16429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-2 + (17 + -12 - 6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1601*h - 4 = -1603*h - 76 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697309635?\nAnswer: 3, 5, 11, 211, 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 9*g**2 - 7*g + 6. Suppose -2*k = -5*i + 1, 7*i - 8*i = 3*k + 27. What is y(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5954, 11911, 17870, 23831?\nAnswer: 29794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**0*o)**45\/(o\/(o*o**(3\/7)))**33)**(3\/35) assuming o is positive.\nAnswer: o**(3132\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*r = -25, -5*k + 5 + 0 = -5*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*x = 48, 0 = 5*v - 9*v - 2*x + 56. Let t be (-1)\/4 - (-148)\/v. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -1\/8 (c) -1\/9 (d) 141\/20 (e) 3 (f) 5 (g) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 + 6*g - 4. Let f(d) = -d**2 + d. Let k be ((-12)\/(-10)*2)\/((-16)\/(-40)). Let n(s) = k*f(s) - o(s). Differentiate n(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44521, 178073, 400659, 712279, 1112933, 1602621, 2181343?\nAnswer: 2849099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 4*l - 2*l)*(33*l**2 + 15*l**2 + 9 - 14) to the form v*l**3 + c*l**2 + u*l + w and give v.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, j: 1, t: 3, l: 1, z: 2, a: 4}. What is prob of picking 1 i and 1 z?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -28. Let y = -0.33 - 0.07. Which is the nearest to i? (a) y (b) -2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14291, -33393, -57305, -86027, -119559, -157901?\nAnswer: -201053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*w - 61, -2*v = -3*w + w + 38. Suppose w = 3*y + 2. Let t = 70456 + -70449. Sort 4, y, t, 0 in decreasing order.\nAnswer: t, y, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1263 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 1. Let l be (6\/(-18))\/(z\/21). Calculate the remainder when 25 is divided by (-14 - l)*(-2 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(2\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001601679674 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 0*h**5 + 2*h**5 + (0*h**2 - 3*h**2 + h**2)*(-2*h + 2*h + 2*h**3) - 3*h**5 + 5*h**5 - 4*h**5.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.455012 less than -22?\nAnswer: -22.455012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let p(r) = -7*r + 29. Determine 6*j(g) + p(g).\nAnswer: -g + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 191 = -5*k + 227, 3*f + k + 18 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r**3 + 5*r**2 - 9*r - 12. Let f(j) = -2*j**2 - 2*j - 2. Give 6*f(a) - l(a).\nAnswer: 8*a**3 - 17*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5\/7 + 2*b**4 - 24*b**3\/7 - 8*b**2 + 64*b\/7 = 0.\nAnswer: -8, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 23*r**2 + 51*r + 100. Let m be c(-20). What is the greatest common divisor of 120 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 46*z + 282. Determine c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*v**3 - v**2 - 27708*v + 1 - 93*v**3 + v**4 + 27707*v in the form w*v + l*v**2 + m*v**3 + u + r*v**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -209. Suppose -4*u = -v + 61, -19 = -3*v + 3*u + f. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 9*h - 3. Let i(g) = -4*g**2 + 13*g + 4. Let o(p) = 5*i(p) + 7*u(p). Let x be o(1). Factor -x*z**2 - 4 + 1 + 5.\nAnswer: -2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2704 and 4640064.\nAnswer: 4640064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*z**3 - 2*z**2 + 166*z wrt z?\nAnswer: -306*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 4*x - 2. Let l be (6\/(-9))\/((-1)\/(-15)). Let w be (16\/(-10))\/(l\/25). What is the lowest common multiple of 22 and r(w)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 + 5*o**3 + 5*o**3 - 4*o**3 + 2*o**2.\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1442 (base 8) to base 10\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2165 and 30743.\nAnswer: 153715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/17 - 14*s**2\/17 + 16*s\/17 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 7 = -23. Let j(f) = 295 - 5*f**3 + 13*f**3 + f**v - 296. Give j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1908354 by 98.\nAnswer: -19473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 3, j: 5, i: 2, v: 1, p: 1}. What is prob of picking 1 v, 1 i, 1 j, and 1 e?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**2 - 2*d. Let r be i(3). Let z = -39 - r. What is the remainder when z is divided by (-1)\/((1\/(-29))\/1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from ceeheeeehehc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -40. Let s be (3 + p\/3)\/(-19). Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74400)\/1581 - -47)*(-4)\/(2 + 0).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 544404?\nAnswer: 2722020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g - 6. Let n be q(-5). Suppose n*a = 38 + 26. What is the greatest common divisor of a and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a - 2*a + 2 - 4 + 3*a**4 - 4*a - 3*a**3 as i*a**3 + j + w*a**2 + o*a + p*a**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-504)\/28)\/((-1)\/14). Calculate the highest common factor of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(3*a + 2*a - 6*a)*(5 - 5 - 2 - 2 + 1 + 0 - 2 + 2 + 2 + 1 - 2 + 4 + (3 + 1 - 6)*(-1 + 2 + 0) + 1 - 2 + 0).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12*u**2 - 3*u + 4*u**3 + 24*u**2 + u - 3*u**3 - 9. Let i be b(-10). Suppose -i = -3*f + 20. Calculate the remainder when f is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 8*f = -5, -3*a = 3*f - 51. What is the least common multiple of 238 and a?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-12 - -3) - (-2 + 4). Suppose -b + p + 5 = 0, 4*p = -f*b - 2 - 18. Suppose 38*s - 43*s + 420 = b. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2102112 - -4?\nAnswer: -2102104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.297989 - -0.002011. Let g = -8 - -4. Suppose -r - 2*r = 6. Sort r, g, 0.04, z in increasing order.\nAnswer: g, r, 0.04, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 18*d**3 + 17*d**2.\nAnswer: d**2*(d + 1)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/7 (b) -3 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2956.3 rounded to the nearest ten?\nAnswer: -2960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/36*3 + 1. Sort -2, -1, -2\/13, u in descending order.\nAnswer: u, -2\/13, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 20 = u - b, -28 = -3*u + 4*b. Suppose -3524 = -3*l - l - u*q, -l = 5*q - 869. What is the greatest common divisor of l and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 11*g**2 - 25*g + 17. Does 5 divide v(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 2. Solve 5*n + 3*g - 2 = u, 10 = 4*n - g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3105 divided by -45\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/592 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(70\/(-224))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -385\/4 (b) -2\/3 (c) -0.04 (d) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -5*s**2\/2 + 4. Let y(h) = -2*h**2. What is y(z(w))?\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/18 - (-1265)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -3*h. Calculate the common denominator of 83\/10 and 12\/128*(632\/3)\/h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 30.878. Let f = 12.922 + k. Let i = 11.91 - f. What is i rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -6, -1877, 2261.\nAnswer: -1877, -6, 0, 5, 2261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044988753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1258212, -2516425, -3774638, -5032851, -6291064?\nAnswer: -7549277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/11 + 398*s**3\/11 - 570*s**2 + 31850*s\/11 - 53500\/11.\nAnswer: 2*(s - 5)**3*(s + 214)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -98 (c) 0.4 (d) 2\/9 (e) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (257\/((-113080)\/(-1650)))\/(2\/((-16)\/14))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.436537098 - 36568.\nAnswer: -36575.436537098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 3*o**3 + 0*o**3 - 4*o.\nAnswer: -o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 g when four letters picked without replacement from ggggmmmggmmggggggggg?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33871 + 51755. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 17*g**3 - g + 0*g + 16*g**3 - 7*g.\nAnswer: 33*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**4\/6 - d + 29. Let t(x) = 252*x**2. Give t(w(l)).\nAnswer: 1008*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*j**3)*(-13*j**2 + 26*j**2 - 20*j**2) + 2 - 2 - 2*j**5.\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*b**3*l**3 - 5610*b**3*l + 339*b**3 - 2*b**2*l + 3*b + 399219*l**2 + 2*l - 2 wrt l.\nAnswer: 378*b**3*l + 798438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17577\/(-186))\/189)\/(((-2)\/32)\/(-1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -67. What is the remainder when m is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o - 12. List the prime factors of h(7).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-31 - (-1971)\/486).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -113651958, -113651963, -113651980, -113652015, -113652074, -113652163, -113652288?\n\"Answer: -y**3 + 2*y - 113651959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 237083*q - 187 = -237102*q, -9 = -o - q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67823 - -67823.7. Let m = 2 - 5. What is the second smallest value in m, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**3 + 14*d**2 - 40*d - 65. Let c be x(-10). What is the greatest common divisor of 91 and c?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-10)*(-840)\/1344.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -38.91+2482897\nAnswer: 2482858.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522488896 is divided by 10723.\nAnswer: 10721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2805925.\nAnswer: 5, 112237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 8*b - 17. Let f be y(-14). Let n = 46 + f. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:26 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6187*g**3 + 42*g**2 + 41*g - 3. Let i(f) = -6186*f**3 - 41*f**2 - 44*f + 4. Let s(c) = 3*d(c) + 2*i(c). Find the third derivative of s(b) wrt b.\nAnswer: 37134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140002 + -2023?\nAnswer: 133535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/9 - 74*r**2\/9 + 718*r\/9 - 646\/9 = 0. Calculate r.\nAnswer: 1, 17, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let g(m) = 19*m. Determine u(g(o)).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8960 and 15264.\nAnswer: 4273920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*u**3 - 11*u**3 - 4*u**3 - 10*u**3 - 37*u**3 - 7.\nAnswer: -2*u**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2143915 and 1042?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5753980363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i + 2. Suppose f + 30 = i*f. Suppose 2*d = -d + f. Are d and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2871 - 3956 = -31*s for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -3176*o**3\/3 + 1950. Let m(x) = 2*x. Give k(m(i)).\nAnswer: -12704*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.446602 rounded to 3 decimal places?\nAnswer: -0.447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*o = -226*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16200.3685 - -16212. Let f = i - 11.6. What is f rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**6\/120 - i**5\/12 - i**4\/8 - 5*i**3\/6 - i**2 - 32. What is the units digit of h(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 82. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -162412073.\nAnswer: 5\/162412073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v**(1\/11)\/v)\/v)\/v)*v\/v**(-3\/5))\/((v\/(v\/((v*v*v*v*v*v**(-10)*v)\/v*v)))\/((v\/(v**(-13)\/v))\/v)))**(-2\/43) assuming v is positive.\nAnswer: v**(-2586\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*g**3 + 12358*g + 12356*g - 37068*g + 12354*g.\nAnswer: 297*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 180 - -5003?\nAnswer: 5183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (11 - (6 - -24))) + (-11 - -17 - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233.3 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 17*k**3 - 117*k**2 - 22*k + 56. Let n(u) = 6*u**3 - 40*u**2 - 8*u + 19. Calculate -11*n(t) + 4*s(t).\nAnswer: 2*t**3 - 28*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 224*p**3 + 119. Let y(w) = 15*w**3 + 8. Let u(f) = -6*b(f) + 91*y(f). Differentiate u(j) with respect to j.\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28855008 and 3510.\nAnswer: 144275040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-1))\/((-45)\/6). Suppose 0 = -2*c + 6*c + 4. Let q be ((-3)\/4)\/((4\/4)\/c). What is the smallest value in q, h, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 361938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -6*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*(z*z*(z**4\/z)\/z)\/z)**(2\/9) assuming z is positive.\nAnswer: z**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -38 (c) 0.689\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*a + 22 - 6 = 0, 5*s = 3*a - 34 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 3*g + 3*g)*(4*g - 5*g - g)*(15*g + 64*g - 26*g)*(4 - g - 4).\nAnswer: -636*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*z + 3 = 0, z = 4*b - 0*b - 14. Suppose 72 + 249 = j + 5*x, -x - 915 = -b*j. Suppose 7*f = j + 44. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*a*b*j*p**3 + a*b*j + 2*a*b + 14*b*j*p**3 + 92*b + 6*p**3 wrt j?\nAnswer: 54*a*b*p**3 + a*b + 14*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211970665, -211970685, -211970741, -211970851, -211971033, -211971305?\n\"Answer: -3*k**3 + k - 211970663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 32, 90, 184, 320, 504?\n\"Answer: c**3 + 9*c**2 - 6*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-15)\/(-6))\/5)\/((-4)\/(-32)). Solve 3*n - 17 = -2*r, p*r - 4*n - 5 = -1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/4 + 5*g**3\/4 - g**2\/2 - 6*g = 0.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {g: 1, o: 3, z: 3, w: 6}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1091.38669 - -0.201434?\nAnswer: -1091.185256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -14685.1 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 284, 293, 302, 311, 320, 329?\n\"Answer: 9*l + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 - 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 18?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 0 + (2*sqrt(171))\/sqrt(9))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*p + 223*p + 14553 = -13200 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -61312 from -48678786.\nAnswer: -48617474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -52.78. Let d = -27.43 + 27.51. Let l = h - d. What is l rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -183. Let u = -137 - h. What is the remainder when 244 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*y**3 - 108*y**3 + 23*y**2 - 23*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -413883 (base 10) to base 2\nAnswer: -1100101000010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b + 2 = 0. Let l = b - 2. Let v(a) = a + 5. Let h be v(l). Solve 2*q + h = -9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26603482\/1644 - 10\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 234\/42)\/((-1)\/182). Is i\/(-8)*(-20)\/(-45) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44722039*x**2 + 62292825*x wrt x?\nAnswer: 89444078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/23)\/(f*f\/(f*f**(-13)\/f*f))*f*f**31*f*f*(f**12\/f)\/f*f assuming f is positive.\nAnswer: f**(707\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -20. Let d(i) = 2*i**2 + 38*i + 26. Is 15 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -3*s, -3*l + 3*s = -864 + 855. Suppose 2 + 6 = n. Suppose -n = -2*i + 8. Calculate the lowest common multiple of i and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8974, 17927, 26878, 35827, 44774?\nAnswer: 53719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, m: 1, w: 1, x: 1, c: 1}. Give prob of picking 1 m and 2 e.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.387057 rounded to 2 dps?\nAnswer: 28.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41318477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2690539 (base 11) to base 6\nAnswer: -243254004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/((-4)\/(-28)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -21*h - 3. Let n be z(-1). Let g = -72 + 270. What is the highest common factor of n and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 389 and 5686402?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - i + 2. List the prime factors of q(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -3\/4, 3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000529083628 rounded to 5 dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k - 4*k)*(0*k**2 + 2*k**3 + 0*k**2) - 539 + 5*k**4 + 539 - 8*k**3 - 36*k**4 + 8*k**3.\nAnswer: -35*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -160 and 817541.\nAnswer: 817381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69254\/7 + 12805844\/1295. Let c = -24\/5 - g. Put c, -2, 4 in descending order.\nAnswer: 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.34, -0.5, 0, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n\/(n*n**(-1)*n))\/n)*n))**(-11\/2)*(n\/((n*(n\/(n*n*n**0))\/n)\/n))\/n**2*((n\/((n*n**8)\/n)*n*n)\/n**(-1\/4))**12 assuming n is positive.\nAnswer: n**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 77466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/((k**9*k)\/k))\/k))**(2\/39) assuming k is positive.\nAnswer: k**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241259, 482497, 723735?\nAnswer: 964973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - p)*((-3 - 1 + 6)*(0 + 0 + 1) + 3 + 0 - 1 - 5 + 1 + 5 + (3 + 2 - 6)*(-3 + 5 - 4)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 28 = -2. Suppose m*c + 17 = 4*a, 5*a + 3*c - 4*c = 16. Suppose a*j - 13 = -1. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -i - 2, 0 = -3*i + u - 0*u + 5. Suppose i*l - 3 = 5. Solve 0 = 5*p - l - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1460063 and 1848?\nAnswer: 245290584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-19)*n))\/n)**18\/(n**22)**0)**(-4) assuming n is positive.\nAnswer: n**(-1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**4 - z**3. Let l(y) = 22*y**4 + 5*y**3 - 23*y. Let w(o) = -l(o) - 5*t(o). Find the second derivative of w(f) wrt f.\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 1\/5*t**5 + 4*t**2 - 4*t + 0*t**4 + 0*t**3 + 0. Differentiate x(u) with respect to u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 - 583*l**2 + 574*l + 9. Give d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93702, 93717, 93736, 93759, 93786?\nAnswer: 93817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-20)*(-2)\/(-3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 232623?\nAnswer: -232621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 17*f - 51. What is w(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*a - 0*a, -4 = 2*n - a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 652\/39 + -104270\/6279. Let n = -5155\/4347 + k. Calculate the common denominator of n and -1\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5228*p**2 + 2624*p**2 + 2724*p**2 + 64*p**6 wrt p.\nAnswer: 7680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194 or 17554?\nAnswer: 17554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-277)\/(-3) - (-2)\/3. Let j(w) = 3*w**2 - 56*w + 3. Let g be j(15). Let c = g - -193. What is the highest common factor of c and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -104, -70, -34, 4, 44?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-521454.\nAnswer: -521454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2 - 6*l. Let i(p) = 6*p**2 + 4. Let r(v) = v**2 + 1. Let m(u) = i(u) - 4*r(u). Determine m(q(b)).\nAnswer: 72*b**4 + 144*b**3 + 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2573, -5348, -8329, -11516?\nAnswer: -14909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 105 = -19*b. Suppose q - 8 = 4. What is the remainder when b is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose 13 = 2*s - 2*l + 3, 3*l + 15 = n*s. Let d(j) = -9*j**2 - 10*j**2 - 1 + j**2 + 17*j**2. Determine d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-815)\/5 + -1 - (0 - 2). Sort 4, -2, z in increasing order.\nAnswer: z, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 2.2. Let k = -122 + 125. Let s be (-10 + 10)\/(-2) - k\/(-4). Which is the third smallest value? (a) x (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074 divided by 388?\nAnswer: -537\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 28*h**3 - h - 5. Let r be s(4). Let f = 24937\/14 - r. Calculate the common denominator of f and 87\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 687 - 146?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3751834628\/13949 - -268968. Is m >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 68 = -4*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1331188 and 107420.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 28. Differentiate -140*r**z + 63*r**2 + 65*r**2 - 11 with respect to r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5 = 2*i - 17, 35 = 4*i - 5*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3887\/2781 + 38\/27. Does 1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuiy when four letters picked without replacement from syyyysyiyiui?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6266*b - 2151*b + 7549*b + 827*b + 5478*b as w*b + i and give w.\nAnswer: 17969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361234*m + o - 15 = 361229*m, 15 = m - o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259408964?\nAnswer: 2, 3, 11, 1373, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185906*f**4 - f**3 - 87374*f**2.\nAnswer: 4461744*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.55 (b) -0.3 (c) 3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 14. Is o smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*j + 3 = 2, 2*c = -j + 13. Suppose 5*s - 35 = -8*b + 3*b, 15 = c*s. Is b < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23353*d**5 - 22777*d**5 - d**3 + 49536*d**5 - 1)*(4 - 4 - 1) + 7 - 6*d**5 - 7.\nAnswer: -3412*d**5 + d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w - 4. Let r(n) = -3*n + 3. Let f(b) = 5*q(b) + 8*r(b). Determine f(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = 183*m + 21*m - 20628 for m.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 3*d + 1. Determine o(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 872 + -89. Let b = h - 486. Let v(k) = k**2 - 7*k + 9. Let x be v(9). What is the highest common factor of b and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 16*m + 38. Let n be t(-3). Let b = -0.16 - 5.84. Let v = b - -6.025. Is v < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552850, -552757, -552664, -552571, -552478, -552385?\nAnswer: -552292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18085 is divided by 5197.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109*0.9.\nAnswer: -98.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000734022 rounded to 7 dps?\nAnswer: 0.0000734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:20 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3917*h - 15750555 + 15750555 to n*h + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 22*g**2 - 24*g - 37. Let z be s(-21). Calculate the highest common factor of 494 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1597.5 * -2.\nAnswer: -3195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8025\/700)\/107)\/((-10)\/35*-1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -15. Let u be (8\/x)\/((-1)\/7) - 0. Find the third derivative of -5*o**2 - 10*o**4 - 5*o**4 + 10*o**2 + 18*o**u wrt o.\nAnswer: -360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3800160 and 506688.\nAnswer: 7600320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Solve -4*p = 16 - s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 110.4306?\nAnswer: -33.12918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 176, 4, 5, 2\/7 in decreasing order.\nAnswer: 176, 5, 4, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o**3 - 1)*(0 + o + 0) + o**3 + 6*o**4 - o**3.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*n + n. Suppose 0 = r - 0*r + 6. Let s = r + n. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 6, a: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(684))**2 + -3 + 5 + (sqrt(684) + 1*sqrt(684))**2 - 3*(sqrt(684) + (sqrt(684) + 0 - sqrt(684)) + -3)**2).\nAnswer: 648*sqrt(19) + 20370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**3 - 89*j**3 + 30*j**3 + 28*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1926*n = -302*n - 9056*n - 78988 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**4 + 0*l**5 - 4\/105*l**7 + 0 + 7*l**2 - 2\/3*l**3 + 0*l + 0*l**6. Find the first derivative of s(z) wrt z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from ltlbbftbtgtbttb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(-1\/4)*(x**(2\/9))**(6\/19))**(-27) assuming x is positive.\nAnswer: x**(-585\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17388 and 67284.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*s - 10, -11 = 5*h + 9. Is -4\/19 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2)*d*d*d**(-1\/4))\/(d**(1\/4))**8*(d*d**(-5\/3))\/(d**(1\/7)\/d)*(d**9*d)\/(d*(d*d**(-2))\/d) assuming d is positive.\nAnswer: d**(835\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-49)\/17 - (-9 - -6). Which is the third biggest value? (a) -0.04 (b) p (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.1, 23\/1001, -0.1, -2\/3, 13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.89 + -0.11. Let g = 1.7 + 0.3. What is the nearest to l in -3, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1472 and 91\/1104.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*d = 107, 123 = -0*g + 3*g + 3*d. Suppose g = -o + 3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -2 + 117 + -89\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431473424?\nAnswer: 2, 53, 89, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 688440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 - 85840*t - 460531600 = 0.\nAnswer: -10730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/12 + 21*b. Let m(z) be the first derivative of -3*z**2\/2 + 1. Calculate m(j(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j + 4*j**2)*(1201*j + 18*j**2 - 1196*j + 74 - 15*j**2).\nAnswer: 12*j**4 + 20*j**3 + 296*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -403\/532 - -1\/133. Calculate the common denominator of a and 10\/(-2) + 1359\/132 + 6\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 219*v + 5180. Calculate n(-15).\nAnswer: 1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.102 (b) 3\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let j = -0.000008 - b. What is j rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/6*(21 + 820\/(-40)). What is the nearest to 0.1 in -1\/5, 4, m, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = g - 4, -8 = -g - 15*a + 18*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/236 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 5 = -p, -2*c - 20 = -4*p. Let y(d) = 12*d - 10. Let x be y(4). Suppose -l + x = -p. List the prime factors of l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + 6 + -11) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29511.77 millilitres in litres?\nAnswer: 29.51177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 46. Let r be 8\/n - 2\/(-11). Solve -16 = 5*o - 2*v, -2*v = 3*o - r*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 18*i**2 + 44*i + 33. What is the remainder when 267 is divided by o(-15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-60))\/((-1)\/((-6)\/15))*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = -3*u - 3*w, -5*w = -4*u + 30. Suppose -u*t + 11971 = -4*a - 43529, 22200 = 2*t - 3*a. What is t rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 4*y + 4. Let z(v) be the second derivative of -v**4\/12 - v**3\/6 + v**2\/2 + 24*v. Determine x(j) - 4*z(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from kkdsccsal.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {e: 1, m: 4, o: 3, j: 3, g: 3, r: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -795, -2 in increasing order.\nAnswer: -795, -2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**25*w**(1\/30))\/((w\/(w**(-2\/17)*w))\/w)**50 assuming w is positive.\nAnswer: w**(35777\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5601216 + 2204?\nAnswer: -5577012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/840 + l**6\/90 - 5*l**4\/24 + 26*l**3\/3 + 30*l**2. Let c(z) be the first derivative of m(z). Calculate c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -871*c**8\/56 + 955*c**4\/12 - c**3\/6 - 5*c - 68. What is the third derivative of y(t) wrt t?\nAnswer: -104520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + -687?\nAnswer: -6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -0.014.\nAnswer: 0.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238 - -122. Let y = -116 - j. Let b be (-26)\/29 + 0 + 1. Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 - 31*v**2 + 347*v + 96. Give w(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/60 - 5*z**4\/18 + 2*z**3\/3 + 12*z**2 - 3*z - 36. Factor v(d).\nAnswer: (d - 6)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivcv when four letters picked without replacement from {i: 1, b: 5, f: 5, v: 8, c: 1}?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9635*r - 55*r**2 + 271*r**2 + 0*r**3 - 4*r**3 + 208 + 4400*r + 4815*r.\nAnswer: -4*(r - 52)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-9\/5)\/(p\/((p\/p**(-7))\/p)*p*p))\/((p*p**(-4))\/p**(9\/7)))**17)**(3\/2) assuming p is positive.\nAnswer: p**(11577\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (284\/210 - (-22)\/(-77)) + (-150)\/225. Let c = 0.6 - 0.57. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1107736731?\nAnswer: 1107736736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6*w = 34. Suppose -r - 2 = 0, 2*q = 3*r + w + 3. Calculate the least common multiple of q and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = 0. Let v be 5 + ((-27)\/3)\/3. Let u(p) = p - p**2 + 3*p**v - p**2 + 8 - 1. Give u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(3 - 2 + 0)*(f - 3*f + f)*(-2 - 1 + 1).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28481938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {c: 3, u: 1, q: 3, z: 3, x: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4590)\/(-198) - 72\/396?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**5 + 3*s - 3*s + (s**2 - s**2 + 2*s**2)*(-6*s**3 + s**3 + 4*s**3))*(2 - 5 + 2).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(1241\/176 - 7))\/(351\/72 - 5).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 34. Suppose 0 = -4*x - 0*x - z*x. Suppose x = -3*w - 2*w + 4535. Is w 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 10534?\nAnswer: 2, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/666 and 127\/1126176?\nAnswer: 125005536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130\/7 in -6, 0.4, 0.3, 0.2, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -913151, -1826305, -2739459, -3652613, -4565767?\nAnswer: -5478921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (18 - 23) - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 288 - 145 = 351 + 691 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 28*t**3\/3 - 109*t**2\/2 - 156. Find the second derivative of c(u) wrt u.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 28 + 16. Let x be l\/8*(-9 - -17). Let y = x + 50. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 9}. What is prob of sequence aapa?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3750*q + 4129. Let y(f) = 3753*f - 4126. Let w(k) = 6*i(k) + 5*y(k). What is the derivative of w(v) wrt v?\nAnswer: -3735","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*g - 223 = -455 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1876, -1879, -1880, -1879, -1876, -1871?\nAnswer: -1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6713 = 111*q - 8933 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -153*w - 477. Determine z(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 316*d - 46. Let y be r(3). Let u = y - 900. Solve 0 = 5*f + u*v - 8 - 2, -v = -4*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -2095.3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248140.\nAnswer: 2, 5, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 11*x - 25 = 5*o, 0 = -4*o + 3*o + 5*x - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 110010000100110 (base 2) to base 4\nAnswer: 12100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/5*(-10)\/(-4). Let w = l + -9. What is the second derivative of -h + 15*h - 8*h**4 - 11*h - w*h wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/15 - 1533652*j\/5 + 882033171414\/5 = 0 for j.\nAnswer: 1150239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10589367 - 33345913862\/3149. Let b = k - 40\/47. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.5326462 rounded to the nearest integer?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91023.\nAnswer: 3, 30341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22350 at most as big as 22350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109 = 5*c + 4*a, -a = 3*c - 6*a - 695. Let o = 223 - c. Let x(v) = -2*v**2 - 3*v. What is x(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q + 20*q - 48*q - 369*q**3 + 120*q**3.\nAnswer: -249*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45833754 and 13350?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 divided by -3?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 34000 = 2*i. Suppose -13500 - i = -s. Round s to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 2, 6, 0.5, -22, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84451897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -37*l**2 - 773*l + 903. Determine z(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*c**3 - 704*c**2 + 805*c - 302 = 0. What is c?\nAnswer: 1, 302\/201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12246343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 l, and 1 i when four letters picked without replacement from aialaalila?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:53 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*c**5*u**3 + 53*c**3 - 8199*c*u**3 - c*u wrt c?\nAnswer: -1440*c**3*u**3 + 318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 4, -5, -3544 in increasing order.\nAnswer: -3544, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/4, 174\/37, 13\/6?\nAnswer: 174\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 - 236.99. Let u = 1.3516 + j. Let f = 0.35 - u. Round f to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33715779497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) + 5)*-5)**2 - (sqrt(847) + 0)**2*6)*-1 + 0.\nAnswer: -500*sqrt(7) + 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeuue?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 5398?\nAnswer: 5402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.529091g to milligrams.\nAnswer: 1529.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 431926023 to the power of 1\/2, to the nearest integer?\nAnswer: 20783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1498273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1.95. Let h = a - 0.55. What is the second biggest value in -5, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22236 + -11642. Round q to the nearest one hundred.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r + 1. Let b(g) = -17*g**2 + 12*g - 4. Let q(u) = b(u) + 4*v(u). Let z(m) = 9*m. Determine q(z(k)).\nAnswer: -1053*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j + 0*j**3 - 91*j**2 + j**3 + 89*j**2 + 8 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9. Let n(m) = -47*m + 54. Let d(a) = -n(a) - 6*p(a). Let c(v) = 10*v. Give d(c(w)).\nAnswer: 470*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 3*p - 2. Let x be y(-2). Let k(b) = -b**2 + b + 12. Calculate the smallest common multiple of k(x) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7 - 4*q**2 + q**3 + 8*q**2 - 3. Let x be i(-3). Let c = -9 + x. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 40, -1979, -1.\nAnswer: -1979, -1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*z - 9333 = -77*z. What is the lowest common multiple of 61 and z?\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*j**2 - 4670*j + 1845.\nAnswer: -5*(j + 41)*(23*j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - 13012\/(-16) - (-3)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, and 1 t when three letters picked without replacement from hghztlhjhjtj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 7) + (1 - -1). What is the highest common factor of 338 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1678 + -927. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:34 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*-4*sqrt(245)*-1)**2 + (1*(sqrt(245) + (sqrt(245) - (sqrt(245) + -4 + sqrt(245))) + 5 + -1))**2.\nAnswer: 141184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*a - 151 + 45 - 293 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -3\/2 (c) 3\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95 * -3098.975.\nAnswer: 294402.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -5 + -40 + (597 - 630).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 3:02 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -600*f - 6. Let o(w) = -w + 1. Calculate 4*a(v) + 24*o(v).\nAnswer: -2424*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 + t - 1. Let p = -6 + 10. What are the prime factors of g(p)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 6. Let d be h(5). Let u = 25 - d. Suppose 3*v = -5*j + j + 42, u*j - 6 = -v. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/416 + 317\/13728. Let n(c) be the second derivative of -1\/165*c**6 + 0*c**2 + 0 + 3\/110*c**5 - 1\/22*c**4 + 4*c + p*c**3. Let n(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4725, -4728, -4731, -4734, -4737, -4740?\n\"Answer: -3*f - 4722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*25\/75*18\/(-44).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7344225953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65045 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 + a - 5. Let q(x) = -9*x**2 + x - 9. What is -11*i(b) + 6*q(b)?\nAnswer: b**2 - 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8044)\/(-9) - (-6)\/(-27)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -3 + -18 + 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 2451.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 67*c**6\/3 - 285*c**2\/2 - 183. Find the second derivative of z(m) wrt m.\nAnswer: 2680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -687 + 687.37. Let w be 5 + 1415\/(-315) - 2\/7. What is the nearest to i in 4, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 33*s**2 + 108*s + 57. Calculate b(29).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1728422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3 = -3*n, -n + 29 - 16 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002676105 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -63250430 to the nearest one hundred thousand.\nAnswer: -63300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38353 or 1?\nAnswer: 38353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.68, 4, -322\/31?\nAnswer: -322\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 1:13 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) + sqrt(605)*-4*-2)) + -1 + (sqrt(605) - (1 + sqrt(605)) - sqrt(605)))**2.\nAnswer: 396*sqrt(5) + 49009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 11) in base 5?\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*4 + sqrt(152))\/(sqrt(96)\/sqrt(3)).\nAnswer: -7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 1008 + 152. What are the prime factors of r?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117, 283, 555, 987, 1633, 2547, 3783?\n\"Answer: 9*g**3 - g**2 + 106*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dddddddddyddddddyddd?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + 11b46d?\nAnswer: 11b460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -955 times -0.2?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 2, z: 3}. What is prob of picking 1 z and 1 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1384 = -7*j + 11*j - 2*p, 0 = 3*j - 2*p + 1036. Let o = -1393\/4 - j. Let n = 0.59 + -0.09. What is the nearest to 2.3 in 1\/3, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018746557 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 840797749 and 626.7.\nAnswer: 840798375.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r**2\/3 - 256*r\/3 - 152.\nAnswer: -2*(r + 2)*(7*r + 114)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = -2*q, -44 = 7*q - 3*q - 5*i. Let o = q + 7. Is (3\/(-12))\/(o\/(-892)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158153 is divided by 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -f + 4*f. Suppose 2*d - 14 = -2*o, f*o + 8 = -4*o + 5*d. Let y(n) = 17 - 5 + 2*n**3 - 3*n**o - 13. Let x(p) = p**3 - p**2. What is -2*x(u) - y(u)?\nAnswer: -u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 798, 1585, 2374, 3165, 3958, 4753?\n\"Answer: v**2 + 784*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*k - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -5 in ascending order.\nAnswer: -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - h**2 + 6*h**2. Let g(a) be the first derivative of a**2 - 4. Give g(d(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(324) + -4.\nAnswer: -4 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*b = 88*b + 152*b - 25636 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18962, 37642, 56148, 74480, 92638, 110622, 128432?\n\"Answer: -87*h**2 + 18941*h + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13700 divided by 3425.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 330, 500, 680, 876, 1094, 1340?\n\"Answer: q**3 - q**2 + 166*q + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(-2*t - t - t)*(-2 + 1 + 0)*(3*t - 2*t + t) as r*t**2 + l + z*t and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-30))\/w*w**(-3\/28) assuming w is positive.\nAnswer: w**(837\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -214620?\nAnswer: -1073100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let z be -1 - (-6)\/(m - 1). Suppose -h + c = -11, -3*h + 11 - 2 = z*c. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12140 - 5613. Let r = 9177 - h. What is r rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l + 8 - 34*l + 84*l - 8.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.6*55.2.\nAnswer: -916.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*x - 1104 + 306, 4*q + 5*x + 3170 = 0. Let d = q + 3205\/4. Find the common denominator of d and 99\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1878652726 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 4, d: 1, v: 2, h: 2}. Give prob of picking 1 y and 1 h.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -796834630 rounded to the nearest one hundred thousand?\nAnswer: -796800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 116 + 44. Let v(s) = 14*s - g*s + 12*s + 5*s - 1. Let q(y) = 2*y**2 + 4*y + 3. Determine -q(b) - 2*v(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -19*a. Let b be k(9). Is -1*(b + (-1 - -3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118746 and 5184.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/4 + 29*l**2\/4 + 114*l + 369 = 0.\nAnswer: -6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6474 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 412, 427, 442?\n\"Answer: 15*u + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 11. Let s be o(-8). Suppose -3*c - 8 - 9 = -2*k, 5*c = -15. Suppose 3*z = 6, -2*p + 60 = 2*p - k*z. Solve 5*r - p = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/9)*o**(-1\/4)*o)\/(o**0)**(-2\/59) assuming o is positive.\nAnswer: o**(71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40800710 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*110\/(-36) - 190\/(-855). Put 0, -8, 6, -3, p in decreasing order.\nAnswer: 6, 0, -3, -8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*y + 44, 8208*h - 14 = 8211*h + 2*y for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.341004km to millimeters.\nAnswer: 5341004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.07 + 12. Let a = g + -0.43. Let h = a + 0.544. What is h rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q + 3. Let y(x) = 4*x**2 - 11*x. Let v(l) be the first derivative of l**3\/3 - l**2 + 94. Let u(t) = 11*v(t) - 2*y(t). What is u(k(w))?\nAnswer: 507*w**2 + 234*w + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3233, 3159, 2985, 2663, 2145, 1383?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1.29948?\nAnswer: -3.29948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*f**3*k**4*p**2 + 2*f**3*k*p + f**3*p**2 + 257*f**3 + f**2*k*p - 379*k**4 wrt k.\nAnswer: 588*f**3*k**2*p**2 - 4548*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-6)\/27)\/((-10)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 21*b**2 + 0*b - 8 - 3*b**3 - 23*b**2 to q + o*b + p*b**2 + v*b**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022653707 rounded to seven decimal places?\nAnswer: 0.0002265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 2)*(24 - 38 - 53)*(-6 - 2*n + 6) + (-n + 0*n - n)*(1 + 2 - 1) - 2*n + 0*n + 0*n as k + j*n and give j.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6206 divided by -213?\nAnswer: -6206\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddbbbbddbddb. What is prob of picking 4 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22525902 - 41*h**2 + 22525902 - 3*h**3.\nAnswer: -3*h**3 - 41*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-2970)\/(-242))*1\/(1\/3).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6) - 10\/(-9 - -39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 11397*p = -11373*p - 128, 40 = -5*i + 4*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**0)\/g)**34)**42*(g**(-2\/17)*g\/(g*g*(g\/(g**(-3)*g*g))\/g*g))\/(g*(g**(-2\/5)\/g)\/g)**15 assuming g is positive.\nAnswer: g**(24580\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(32))**2 + -3 + (sqrt(6)\/sqrt(3))**2).\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 + 7 = 0. What is the common denominator of (-2)\/(-2) - (-113)\/v and 13\/(1 - 6 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 - (-9)\/((-108)\/96). Solve -4*j + h = 5, -7*h - s = -2*j - 4*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*l - 10370 = 3280 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -401, -462, -547, -656?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + -4 + 5 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435291239 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/42*960\/80*56\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-56) - (-50)\/(-7). Let j(t) = 3*t**2 + 15*t + 1. What are the prime factors of j(c)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/17))**22\/(t\/(t*t*t**(-8)))**(-2) assuming t is positive.\nAnswer: t**(216\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1608014561 to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*t**2 + c**2*t + 310*c**2 + 276*t**2 - 2*t wrt t?\nAnswer: -2*c**2 + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 2 - 3 + 4 + 4.\nAnswer: 4*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.0762 millennia in decades?\nAnswer: 11907.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, 4\/3, 20, 5, 6\/5 in ascending order.\nAnswer: 6\/5, 4\/3, 3, 5, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723487 is divided by 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in -4, 4, -0.3, -1\/198?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 201215?\nAnswer: 201215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 4*o - 6 = 0, -g + 286839*o - 286838*o = 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9\/l**(-7\/3) assuming l is positive.\nAnswer: l**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1689 at most 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*o + 732 + 2888, -2*o + 3606 = 5*m. Calculate the greatest common divisor of m and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69895129 rounded to the nearest 100000?\nAnswer: 69900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 2239*n**2 + n**3 + 13185*n**2 + 4419*n**2 + 2*n**3.\nAnswer: -n**3 + 19843*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 369 = 22*k. Let h(s) = -4*s - 29. What is h(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (952\/12 - 1\/3). Suppose -488 = -3*c + 142. Let a = c + j. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -143\/2524 (b) 6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.99999856 - -2. Round w to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1033 - 1027. Suppose -5*u + 10 = -0*u. Solve 4*d - q = -u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350592660 + 163?\nAnswer: -2350592497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 24*c**2 + 48*c - 85. Determine v(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 75*k + 2*k**2 - 15*k + 8 - 43*k. Give v(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 20, 2*j + d + 8 - 15 = 0. Let r(l) = -l**3 - l**2 - l. Let s(f) = -4*f**3 - 3*f**2 - 3*f + 2. Give j*s(a) - 3*r(a).\nAnswer: -a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 415213 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (19 + -3 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + -3 + (5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2)*(0 - 2). Let y be -5*(-3)\/10*k. Suppose -i - y*o + 25 = 3*i, 5*o + 25 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16026270700 to the nearest one million.\nAnswer: 16026000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 80.9 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:45 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -30\/11 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8509*t - 38 = -8506*t - 4*k, 2*k - 20 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/4)\/(6\/(-348)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1605.8 + -11449\nAnswer: -13054.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -281, 2, 22, -3 in descending order.\nAnswer: 22, 2, -3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + (-812)\/(-9). Let l(b) = -b**3 + 5*b**2 + 15*b - 38. Let y be l(6). Suppose y*h - t = 14*h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12643 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 56 = 3*t, 4*t = -z - 14 + 66. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-190) + (-19)\/(-2508)*-66?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 4 - -3)*3*3. Let t be o\/9 - 92\/(-1). Let g = -85 + t. Solve 0*m = -3*k + 3*m, -3*k + 15 = g*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 - 38*j + 9. Let q be i(-18). What are the prime factors of (7\/(21\/q))\/(-3)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 67 - 1. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 48. Let v(d) = 528*d. Determine s(v(h)).\nAnswer: -528*h + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/((u*u**(-1)*u)\/u)*u*u*u\/(((u**(-5)*u)\/u)\/u))\/(u*u**(-2\/7))**(5\/6))**(1\/3))**(-2\/17) assuming u is positive.\nAnswer: u**(-437\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57621, -233004, -525299, -934500, -1460601, -2103596, -2863479?\n\"Answer: s**3 - 58462*s**2 - 4*s + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -1011111010011111101001?\nAnswer: -1011111010011111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -21. Let s(z) = z**2 - 8*z + 8. Let w be s(l). What are the prime factors of 2\/w + (-92)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 47 - 52 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-310120*m - 295070*m + 618804*m)*(2*m - m - 3*m)*(-4*m**3 - 4*m**3 + 6*m**3).\nAnswer: 54456*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*f**3 + 2*f**2 - 781551*f - 164594688 wrt f?\nAnswer: -12*f**2 + 4*f - 781551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from rqfdjfyrq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 12) in base 9?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 1508*v**2 + 127795*v + 261624.\nAnswer: (v - 5946)*(v - 88)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 9:40 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 9198.\nAnswer: -5\/9198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 2576\/(-104)) + (-54)\/(-234)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/(6\/(-180)). Let z(s) = -6*s + 5. Let c(o) = -o + 1. Let b be (1 - ((-6)\/(-2) + -3))*3. Give b*z(r) + d*c(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000191827083 to 6 decimal places.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 20. Let s(v) = -3*v + 70. Let c(t) = -21*d(t) - 6*s(t). Let n be 26\/10 - (-2)\/5. Let b(z) = n + z - 3 + 0*z. Calculate c(b(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 9604.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -190*q - 33*q - 12 + 229*q. Calculate s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4905 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 523297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 20 - 2 - 10)*(-4 + 8*j + 4).\nAnswer: 208*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/105, -89\/10, -0.353 in increasing order.\nAnswer: -89\/10, -2, -0.353, 2\/105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 1, v: 2, q: 2, z: 6, j: 2}. What is prob of picking 1 v, 1 e, and 1 z?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 2*f + 2. Let c(b) = -b**2 + b + 1. Calculate 3*c(q) - 2*v(q).\nAnswer: q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -18*g + 81. Give l(7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:14 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 - 275?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a - 82. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/3))**31)**(3\/19))**(3\/8) assuming m is positive.\nAnswer: m**(-93\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -43)*(-28)\/(-56). Let c be 75600014\/x + (-2)\/(-3). Round c to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, h: 2, c: 1, a: 3, r: 5}. Give prob of picking 1 s and 2 h.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/11)*l**(-4))**26*l**(1\/2)\/(l**0\/l)*(l**(1\/3))**(-9) assuming l is positive.\nAnswer: l**(-2269\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2)\/((-63)\/(-135)*(-18)\/21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 4*a - 8. Let z be i(6). Let k(u) = 4*u**2 - 6*u + 3. Let f(b) = -5*b**2 + 7*b - 2. Let o(q) = 3*f(q) + 4*k(q). List the prime factors of o(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from mmdmmddmmmdddddmmdmm.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)*r*(r**(-4)*r)\/r)**(1\/5))**(-5\/11) assuming r is positive.\nAnswer: r**(5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-25))\/((-7)\/175).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135810?\nAnswer: 2, 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 869 - -545. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*z + 2*z + 5057, 0 = 4*g + 3*z - 20323. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339\/689 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 112\/12*1\/76. Let a = 4\/19 + o. What is the third biggest value in a, 3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(304) + 1)**2 + -2.\nAnswer: -3662 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*c - 20 = -5*s, -3*c = -3*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129 by -3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(3\/6). Let n(k) = 2*k**2 + 4*k - 2. Let i be n(3). Suppose -6 = -3*x, -3*x - x + i = 4*q. What is the third biggest value in q, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - -2b7?\nAnswer: 2ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s + 4. Let h = 15 + s. What is the highest common divisor of h and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m - 12 = 0. Suppose v = -3*n - 43, 4*v - 36 = 3*n + 2. Let w be (m\/2)\/(3\/n). Which is smaller: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let p(x) = -x**3 + 3*x**l + 5*x**2 + 0 + 7 - 10*x. Is 12 a factor of p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 45*z. Let m(c) be the second derivative of 13*c**4\/4 + 9*c - 25. Determine m(x(s)).\nAnswer: 78975*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b + 28307 + 28308 - 56618.\nAnswer: -11*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 41\/3. Let m = 138 + -138.01. Let g = 2.93 - 0.93. Sort v, g, -2\/11, m in descending order.\nAnswer: g, v, m, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 - (5 + -42) - (7 + (-34 - -6))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9685973953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmmpreuu. Give prob of picking 1 u, 1 e, and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.044, -40, 5, 13\/2?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 47*a = -36*a - 33*a + 112*a + 16, 0 = 5*p + a - 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 165, -90 in descending order.\nAnswer: 165, 5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 - -194. What is the least common multiple of 159 and i?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (8 - 20) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/185 + 2\/(-10) - 9\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, 3, -4, 5, 30 in descending order.\nAnswer: 30, 5, 3, 1\/34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + m**2 + 4*m - 3. Let q(x) be the second derivative of 7*x**5\/20 + x**4\/12 + 7*x**3\/6 - 5*x**2\/2 - 656*x - 1. What is -5*j(n) + 3*q(n)?\nAnswer: 6*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p + k - 9 = 0, 4*p + 4*k - 12 = 0. Suppose 21 = v - 2*c, p*v - 65 + 16 = -c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-4 - (-8 + -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*a*o**5 - 12*a*o**2 + 2*a - 43*o**5 - 11*o**2 - 3*o wrt o.\nAnswer: 2820*a*o**2 - 2580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4, 4 = 4*q - 4*y + 8*y. Suppose -2*x + 34 - 10 = q. Calculate the common denominator of 5\/11 and (-551)\/117 + x\/78.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3292754314?\nAnswer: 2, 661, 2490737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.93 - -5.9299613. Round n to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -229*w**4 + 1142 - 1142 + w - w - w**4 + (-w**2 + 0*w + 0*w)*(-1 + 1 + w**2).\nAnswer: -231*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 44 = -56. Is z less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11808+0.1\nAnswer: -11807.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6262945 grams in tonnes?\nAnswer: 0.0000006262945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, -77, -4 in decreasing order.\nAnswer: -1, -4, -13, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/413*(-4)\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.39 + -1.42. What is the third biggest value in 2\/5, 0.2, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) - (87792\/20)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 375 - 245. Let o = 3 + -1. Suppose -s = -5*c - r, -o*c + 40 = -r - r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 129 = 4*q + 3*m, 3*m - 6 = 0. Let r be ((-4)\/(-10))\/(q\/15). Which is bigger: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-5)\/(-20)*2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 6}. Give prob of picking 2 f and 1 e.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 194675 and 15?\nAnswer: 584025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let q be u(0). Sort -5, 1, 4, q.\nAnswer: -5, q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Work out -0.3 + -2.09.\nAnswer: -2.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-112)*68\/(-595)*14\/(-24)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*w + 1)*(-2*w**3 + 3*w**3 - 2*w**3) - 761 - 2*w**4 + 761 + 38*w**2 to the form a*w**2 + i*w + x*w**4 + c + y*w**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 10) to base 7\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 1. Let z be k(5). Suppose -z*a = -0*a. Let f(l) = -l**2 + 5*l + 3. Let q be f(5). Solve -q*y + 4*y = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 27. Give c(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-8))\/7 + (-4 - -3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1001001102210?\nAnswer: -1001001102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(2\/9))*y\/(y\/(((y**(1\/4)*y)\/y)\/y)))\/(((y**(-10)*y)\/y)\/y*y**(-1)*y) assuming y is positive.\nAnswer: y**(361\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 340938182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 95?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -25*u + 111 + 3494*u**2 + 1394*u**2 + 72 + 546*u**2 - 57. Let f be d(6). Round f to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y - x = -3065, -9 = 3*x. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - -3*sqrt(175)*-1) + sqrt(175) + sqrt(175) + sqrt(175) + 5 + sqrt(175)*1 + -3)**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258 - 296. Let b = -43 - f. Sort 4, 1, 0, b.\nAnswer: b, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2977635417 + 0.2.\nAnswer: 0.4977635417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94143719 and 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -368, -359, -336, -293, -224, -123?\n\"Answer: v**3 + v**2 - v - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yebzbzxzxbefbefzxbzz. What is prob of picking 1 b and 3 e?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 + -1 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 184 = 58. Suppose 2*t = -0*y - 5*y + 80, 64 = 4*y + 4*t. Suppose -y*f + 27*f - 132 = 0. Calculate the remainder when r is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 2*i + 5. Let s be b(2). Let w(c) = 9*c. Calculate the lowest common multiple of 3\/s - 42\/(-49) and w(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 23. Let m be i(-16). Let t = -149\/2 + m. What is the smallest value in -2\/15, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9746884 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 30. Let a be p(-13). Let t = 13 - a. Let j(i) = i**2 + 5*i - 4. Let n(u) = 2*u**2 + 5*u - 5. Let g(s) = 4*j(s) - 3*n(s). Give g(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8313055 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1749 and -1442 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2. Let t(m) = -441249*m**2 - m - 22. Let v(h) = 5*o(h) + t(h). Let x be v(4). What is x rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 15. Suppose 0 = q*h + 21 - 60. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -590*-1762445\nAnswer: 1039842550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178134158 - -0.2.\nAnswer: -178134157.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 7*l**2 - 8*l - 11. Let q = 88 - 94. Let u be g(q). Let b = -0.9 + 3.9. What is the smallest value in u, -2\/7, 0.5, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*j*u**4 - j*u**3 - 1719*j*u**2 - j*u + 98324*j + 1 wrt u.\nAnswer: 1188*j*u**2 - 6*j*u - 3438*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76) + -4 - (-4 + -2 + sqrt(684)))*3)**2.\nAnswer: -288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166414.999 less than 1.48894?\nAnswer: -166413.51006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7905\/(-18) - -6) + (-1)\/(-6). Let w = m - -946. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:30 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5882743 is divided by 6285.\nAnswer: 6268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7020?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -700003*5\nAnswer: -3500015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 289\/68)\/(((-1)\/12)\/(-1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 310 = 282 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 - 420*a + 74*a**2 + 13*a**3 + 875*a - 423*a - 28*a**2 = 0.\nAnswer: -2, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18466, -18676, -19030, -19534, -20194?\n\"Answer: -j**3 - 66*j**2 - 5*j - 18394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41125?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 759300020 to the nearest 100000.\nAnswer: 759300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1532*a**4 - 2*a - 719*a**4 - 1453 + 1259 wrt a.\nAnswer: -27012*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 1355*j + 23956. Determine u(18).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 + 124 = 2*t, -5*x - 4*t = -141. Suppose -x = -8*l + 107. What is the highest common divisor of 425 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -135*f**2 - 12 + 25*f + 101*f + 150*f = 0.\nAnswer: 2\/45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4288*j - 39*j**2 - 2 + 2 - 4289*j to h + k*j + f*j**2 and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*h + 2406 = 599*h + 5*n, -n = -2. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/7)\/x)\/(x**1*x)*(x\/(((x\/(x\/x**(-4)))\/x)\/x*x))\/(x*x**(-1\/6)*x))\/(x**(-3)*x**(5\/6)\/x*(x**(-2\/7))**(-2\/107)) assuming x is positive.\nAnswer: x**(8762\/2247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -222939, 0.5, 0.04, -1\/2, 5 in decreasing order.\nAnswer: 5, 0.5, 0.04, -1\/2, -222939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742, -742, -732, -712, -682, -642, -592?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 8:08 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-2) + 6\/4. Let a be (-7 - -7)\/(-1 - n). Solve a - 12 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 + 11\/24*s**4 - 6*s**2 - 1\/6*s**3 + 0*s. Give m(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -178*y**3 + 4*y**2. Let m(f) = 356*f**3 - 9*f**2. Calculate -9*b(l) - 4*m(l).\nAnswer: 178*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -603 + 609. Suppose 5*c - 3*r + 20 = -r, -24 = -c + k*r. Let h be 22\/(-4) - (-2)\/(-4). Is c at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 15*k**2 + 6*k + 14. Let w be q(8). Let m(p) = -7*p**2 - 3*p + 2. Let u(d) = -1 - 5*d**2 + 2 - d + 2*d**2. Give w*m(r) + 5*u(r).\nAnswer: -r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146.2 - -146. What is the smallest value in -0.3, -7, 0.2, r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01889 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s. Let x(h) = -h. Suppose 0 = 5*v + 4*l - 125, -3*v + 64 = v - 4*l. Suppose -3*f - 4 = -7*f, -5*w = 4*f + v. What is w*x(g) - q(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 4 - (-4 - -5)*-5. Suppose -4*m - o*f = -8*m + 52, 10 = m + f. Calculate the remainder when 32 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18305631, 18305570, 18305469, 18305328, 18305147?\n\"Answer: -20*k**2 - k + 18305652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -33*p**2 - 30*p + 335. Let a(u) = -14*u**2 - 13*u + 168. Determine -7*a(l) + 3*w(l).\nAnswer: -l**2 + l - 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Suppose -6*b = -f*b - 37. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**4 - 480*g**3 + 12440*g**2 - 44160*g + 42320 = 0.\nAnswer: 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13190 and 188617?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -9*r**5 + 48*r**4 + 48*r**3 - 282*r**2 - 183*r + 90 = 0?\nAnswer: -2, -1, 1\/3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 - 23*h**2 - 1326*h\/5.\nAnswer: -h*(h + 13)*(h + 102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-60))\/(92\/(-924) - 0). Let p = -3\/46 + t. Sort 0.4, p, 2 in ascending order.\nAnswer: p, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -1, 1\/4, -2691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/((-15)\/(-140)). Let q be 18\/(-4)*k\/(-21). Let h = -7 - -10. Solve -5*t + 0*t = q*o - 10, 4*t = h*o + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141338347\/412 - 343054. Find the common denominator of 47\/18 and q.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 5:53 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1777*t - 5319*t - 593*t**2 + 1778*t + 1764*t.\nAnswer: -593*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 189*r - 5846. Determine f(37).\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12436 (base 7) in base 5?\nAnswer: 101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 131099604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/18 + u**4\/3 - 4*u**3\/9 - 2*u**2. Factor m(a).\nAnswer: -2*(a - 2)*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 - 198*y**2 + 1085*y + 1412. Calculate m(43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11660434 (base 8) to base 10\nAnswer: -2580764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.286 + -0.3284\nAnswer: -0.6144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1252 - 22*o + 1249 - 2503)*(3 + 0 - 2).\nAnswer: -22*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 11*f - 118 + 3*f - 4*f - 15*f to r + h*f and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8) + -4 + (-10 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1936604*c - 28031480?\nAnswer: -1936604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)\/g)\/g**(1\/3) assuming g is positive.\nAnswer: g**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 5*c + 5. Suppose -4 = 3*q - 5*q. Let z(r) = 6*r**2 - q + 2*r - 3*r**2 - 2*r**2. What is -2*a(f) - 5*z(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -357.1 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 238656539.2 - 236438196.466. Let t = u - 2218176.7339933. Let j = 166 - t. Round j to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11174*w - 4004*w + 167941 = -169049 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -98. Let r = q + -100.3. Let f = -16\/31 + 210\/527. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*n + 17*a - 22*a, 0 = n - 4*a + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let l(x) = -x**3 - 6*x**2 - 7*x - 7. Let r(v) = -l(v) + 5*w(v). Calculate r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a**2 + a - 3. Let g be d(-3). Let q be (-44)\/(-6) - 4\/g. Let u = 8 - q. Solve -m + u*m = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 7:22 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11789*q**3 + 11770*q**3 - 86*q**2 + 86*q**2.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/7 - 498624*x + 145031771136 = 0.\nAnswer: 581728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20798953354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -72\/7 and -10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 0.2, 4\/5, 2, 29, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/7 - 496*v**4\/7 + 19800*v**3\/7 - 184032*v**2\/7 = 0 for v.\nAnswer: -284, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose 0 = -2*i - 2*i + 24. What is the remainder when 12 is divided by i + -1*(w - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*(-19)\/(-57).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55704 by -8.\nAnswer: -6963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -12 - 21. Suppose -y + 123 = 4*m. Calculate the highest common divisor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -28566, 2, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -20*z - 88 - 8, -16 = 4*z for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -51. Let k(u) = -37*u**2 - 2. Let f be k(n). Let y = -29 - f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3) - sqrt(3)*-1) + -5)**2.\nAnswer: -36*sqrt(3) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1087 - 1084. Solve 0 = -7*s - y*s + 50 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 31, 1, -4, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/7 + (-8 - -2). Let q be (-4)\/10 + (-3186)\/(-90). Let r be (-3)\/(q\/(-26) - t\/(-39)). Solve 0*y = -r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15712 greater than or equal to 15712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -134628499 divided by -5853413\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 23976800 to the nearest ten thousand.\nAnswer: 23980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 1, e: 7, q: 1}. What is prob of sequence cq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 518 + -679. Let b = 169 + v. What is the nearest to -1\/5 in -4, -1\/7, -2, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 32 = 5*w. Suppose 0 = w*j + j. Suppose 5*k = -b + 32 + 655, -2*k + 2*b + 282 = j. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4050\/(-20))\/(-45)*(-2)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 694 = l + 4*s, s = 3*l - 700. Suppose l = -4*g + 5*g. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198917391.\nAnswer: 3, 17, 3900341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 9, -44*s + 40*s = -2*c + 18 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 25*u + 51. Let s be k(2). Sort -5, 4, s, 3 in descending order.\nAnswer: s, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326374527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9985, 10112, 10239, 10366, 10493?\nAnswer: 10620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -445601871873.000001101 + 445601869645. Let i = 2228 + k. Round i to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20122120000 (base 3) to base 8\nAnswer: 377520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 2. Let m be r(6). Let l(n) be the second derivative of n**4\/12 + n**3\/2 + n**2\/2 + 5*n + 4. What is l(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*t**2 - 436*t**2 + 729*t - 370*t**2 - 11*t + 82*t**2 wrt t.\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**2\/9 - 82*c\/3 + 62\/9.\nAnswer: -2*(c + 31)*(4*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 7*t + 76. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 11) to base 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3869528 and 21112.\nAnswer: 27086696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**5 + 5*i**5 - i**5 + 3*i**5 + i - i + (2*i - 2*i**2 - 2*i)*(-3*i + 3*i + 2*i**3).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 281.2049 decades?\nAnswer: 33744.588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by 7\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001000 - 101000100010?\nAnswer: -100011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 155338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(243)*-4 - (sqrt(243) + 0 + 5)**2.\nAnswer: -162*sqrt(3) - 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 - p**5 + 3*p**5 - 26*p**4 + 26*p**4 - p**5 + (-2 + 2 + 2)*(2*p**5 - p + p) - 4*p**5 + 3*p**5 + 5*p**5.\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*(o**(-1\/10)\/o)\/o*o)\/(o\/(o\/((o\/(o\/(o*o**(-4)\/o*o))*o)\/o))*o\/(o\/(o*o\/(o*o**5)))))\/(o*o*o*o**(3\/8)*o*o**(-3))**5 assuming o is positive.\nAnswer: o**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*y - 493 = -1921 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abaaobbaa. Give prob of sequence aab.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10))**(-25)*(p**(-2\/17)*p)\/(p\/(p\/(p**(-2\/55)*p)*p*p*p)) assuming p is positive.\nAnswer: p**(236479\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151082 is divided by 86?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33861889571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12767*i + 12902*i = -6885 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1513*g + 1239*g = -822 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 1405, 2882, 4895, 7438?\nAnswer: 10505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 3*a)*(-3*a**3 + a**3 + 0*a**3) - a**4 - a**3 + a**3 - 14860*a**2 - 3*a**3 - 540*a**4 + 14860*a**2.\nAnswer: -539*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.90231 - 0.19769. What is the biggest value in -2\/7, d, -1\/10, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*x**5 - g*x**4 - 2*g*x**2 - 4057*g - 339*x**4 wrt x?\nAnswer: -60*g*x**2 - 24*g*x - 8136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**2 - 18*h. Let d(q) = -q. Let p(j) = -15*d(j) + r(j). What is the tens digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 91*d**2 - 64*d + 994. What is the units digit of c(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10 - 23\/(-15))\/((-6)\/(-24)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-1)*w)*w\/((w\/w**(-5))\/w*w)*(w**(2\/3)*w)**(-3\/34) assuming w is positive.\nAnswer: w**(-141\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/30 - 3*o**4\/4 + 7*o**3\/6 + 12*o**2. Let u be w(8). What is the biggest value in -4, 4, u, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuxzuuzun. Give prob of picking 1 n and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 7*x + 45, -x + 3*j - 43 = -28 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 23*d = -3375. Suppose -4*n + d = -3*g, 3*n + 225 = -6*g + 5*g. Let b be (-7400)\/15*g\/(-6). What is b rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215.4 + 215. Is f bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 1 + 0*v**2 - 2\/9*v + 2\/27*v**3. Factor j(k).\nAnswer: 2*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 n when four letters picked without replacement from {n: 4, e: 1, c: 1, g: 1, h: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x + 1002404 = 996556 for x.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12951983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/5)\/(2\/(-60)). Let c be 28\/6*t\/(-42). Suppose 0 = -3*b + c - 9. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/410)\/(3\/(-315)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 132 = 3*o, 4*n - 97 = 5*o - 2*o. What are the prime factors of (-309)\/(-2)*(o\/(-9) - 3)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 - 144*r + 533. Give i(-40).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2241 - -2?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*h = 35*h + 135 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613566, 2454074, 5521588, 9816108, 15337634, 22086166?\nAnswer: 30061704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519242 is divided by 234?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 2*q**2 + 1. Suppose l - 5 = -3. Is 7 a factor of o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0, 5\/7, -2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8173 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 12:43 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 47*o + 15. Calculate n(-50).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 108\/6*1\/(-3). Let k be 15\/4*(-8)\/b. Sort -5, k, 4, 1 in descending order.\nAnswer: k, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*t**12 assuming t is positive.\nAnswer: t**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -6507.15 = 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12561740 + 3321740 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113768256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/34 - -185\/442. Is r at most -0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 19. Suppose -9*n - 47 = -8*n. Let l = 49 + n. Sort 2\/11, m, l in decreasing order.\nAnswer: l, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -440131 + 880188 - 440376 + 3*c**2 - 3*c**2 + 2*c + c**2. Determine l(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 33*d - 78 = 0. Calculate the least common multiple of 15 and d.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 648.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15335987 and -1382229.\nAnswer: -16718216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32171 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 55*n - 734. Calculate y(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505371 is divided by 100708?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2\/2 - 11*o + 103176. Suppose 54 = -t + 5*t - d, 3 = t + 5*d. Give h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 0*h**2 + 3*h**2 + 0*h**2 - 4*h to a + w*h + p*h**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + u - 151 = 0, h + 0*h + u = 73. Calculate the remainder when h is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4. Let l be -7 + (10 - (5 + -5)). What is the closest to -0.2 in 5, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/1159, -0.14, 5\/24, -1.\nAnswer: -1, -0.14, 3\/1159, 5\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -21611)\/(1\/(-242)). Suppose 4*c = 619986 - n. Let l = c - -1802469. What is l rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -246 + 248.7. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2631652260 to the nearest integer?\nAnswer: 51300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -786 by 3.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p - 20. Put -0.5, 1, p, 3 in decreasing order.\nAnswer: p, 3, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 4*z - 4*z)*(166*z + 63*z + 180*z) + (0 + 2 - 1)*(-z**2 + z**3 + z**2).\nAnswer: -1226*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 212815 - 212814.7400068. Let p = 0.26 - w. Round p to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23021385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/5))**7 assuming r is positive.\nAnswer: r**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a**2 - 1. Let s(h) = 42*h**3 - 33*h**2 + 12*h + 33. Let y(g) = 66*l(g) + 2*s(g). Find the second derivative of y(f) wrt f.\nAnswer: 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {c: 3, a: 3, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/4*288\/20. Let u = j - 48. Let v = u - 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1891*h - 300659. Calculate u(-159).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t + 6. Let z(c) = 7*c - 4. Calculate 5*r(v) + 7*z(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - (17 + -6) - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 4317007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1430755 - 12?\nAnswer: 1430743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 19*i - 4. What is m(18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Let w(v) = -3*v**2 + v - 1. Let x = 8 - 7. Let d be w(x). What is the units digit of i(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(640)*-1).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*m - 14*t + 18*t, 2*m + 5*t = -22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*o + 68*o - o**2 + 5*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + 2*s**3 + 2*s**4 + (-4*s + 0*s + 2*s)*(-1 + 1 + 2*s**3) - 3*s**4 - 4 - 9 + 4*s**4 to the form g*s**4 + q*s + z*s**2 + a*s**3 + y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -887186 rounded to the nearest ten thousand?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 180575275 a multiple of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020020 (base 4) in base 11?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 - ((6 - 3) + -60) - 4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3 + 224*o - 364*o**2 + 210*o**3 - o**5 + 12*o**4 - 35*o**5 - 48 = 0.\nAnswer: -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - 236250\/(-4650) - 111.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573374.\nAnswer: 2, 286687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 1, v: 2}. What is prob of sequence zzj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 293 + -3711. Let z = -3491.35 - l. Let c = 75 + z. Round c to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136*q**3\/3 - 736123*q**2 - 2988295378*q - 65918161\/3.\nAnswer: -(q + 8119)**2*(136*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((74\/(-6))\/((-34)\/51))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -14*o - 211. Calculate the remainder when o is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 - 65025*i**4 + 1260791*i**2 wrt i?\nAnswer: -60*i**2 - 1560600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 5*g**5 + 0*g**5 + (-2*g**3 - 2 + 2)*(2*g**2 + 3*g - 3*g) + 2 - 900*g**4 + 900*g**4 - 80*g**5.\nAnswer: -87*g**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1587?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 2 (c) -1 (d) 2434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-13)*d)\/d)\/((d\/(d*d*d**4\/d))\/d))**42\/((d**(-8)\/((d*d**4)\/d))\/((d*d**1*d)\/d)**(-1\/55)) assuming d is positive.\nAnswer: d**(-17822\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -321*n**4 + 3*n**3 - 52*n + 3. Let z(l) = 321*l**4 - 2*l**3 + 49*l - 2. Let c(v) = 4*b(v) + 6*z(v). Find the second derivative of c(w) wrt w.\nAnswer: 7704*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yixbyibbx. What is prob of sequence ixi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578 = -729*m + 695*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4\/13 - 2\/13*g**2 - 6\/13*g - 2\/13*g**4 + 6\/13*g**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*i**2 - 135*i - 2 wrt i.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 10*y**4\/3 - 3*y - 74. Let b(v) = 9*v**2. What is x(b(j))?\nAnswer: 3240*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5738 = -21*b + 5486. Sort 0.33, b, -4.\nAnswer: b, -4, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5037212, -5037212, -5037214, -5037218, -5037224, -5037232, -5037242?\n\"Answer: -u**2 + 3*u - 5037214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - -223. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, g: 6, b: 5, s: 5, p: 2}. Give prob of picking 1 c and 1 b.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.071953 - 4.\nAnswer: -15.071953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let y = 4.98 + 0.02. Let p = 0.3 - 0.5. Which is the nearest to -1? (a) y (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.29 - -52. Let k = 0.09 + t. What is the biggest value in 2\/3, k, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 13*f + 340. Suppose 5*g + 46 = 4*j - j, 4*g + f = j. Which is greater: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 56\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 greater than -170025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1835 - 1804. Solve -y*q = -26*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*f + 3, 0 = f - 5*f - 3*t + 1. Solve m + 0*c - f*c = 9, 5*m - 1 = -2*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/6 + (4 - -2). Let z be v\/10*(-2 + 0). Put -1\/4, z, 1\/7 in decreasing order.\nAnswer: 1\/7, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*k**3 + 1872*k**3 - 936*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*g - 152*g + g**3 + 20.\nAnswer: g**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 2*w**7\/105 - 13*w**6\/15 + 113*w**5\/15 + 70*w**4\/3 + 4824*w**2. Let i(p) = 0. What is p?\nAnswer: -1, 0, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = -13. Let z be (4 + -5)\/((-1)\/4). Suppose -q*i = -k + 36, -2*k - z*i = -0*i - 72. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 6. Let f be s(5). Let u = -2 + f. Let t be u\/((-2)\/18) - 2. Solve -t*r = -2*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-24*g - 17*g + 15*g)*(0*g - g + 3*g).\nAnswer: -104*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 - 24) + 13 + 1. Solve 24*m = 20*m + l*c - 13, -c = -5*m - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 33, 49, 65, 81?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 3 + 43774*t**2 - 43774*t**2.\nAnswer: 5*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -24.075251\nAnswer: -2.4075251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 4 + 0)*2. Suppose 0 = -2*h + 5*m + 16, 0 = h - 2*h + m + y. Let r be (-3 - (-3 + 1)) + h. Which is the closest to -3\/4? (a) r (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34\/((-16)\/(-8)) - -7 and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s - 76. Suppose -2*m = -5*t - 240, m = t - 6*t + 135. Let a = m - s. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6139 - 6134. Let p(z) = 36*z - 178. Determine p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 5*b - 5. Let t(v) = -v**2 + 2*v - 2. Let u(a) = 5*t(a) - 2*w(a). Let f(j) = -14*j**2. Give f(u(z)).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 + r + 4. List the prime factors of v(6).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -251*d - 2988. Let r be p(-12). Let b(y) be the second derivative of -7*y**2 - r*y + 4\/3*y**3 + 0. What is the first derivative of b(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-168))\/(1\/(-45)) + (-36)\/126. Solve 0*c - 2*c - 10 = u*q, 0 = 2*c - 5*q + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 312*o**2. Let s be m(1). Let u(h) = 21*h + 90. Let a be u(-4). Let d be (a\/(-8))\/((-2186)\/s - -7). Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1332)\/(-27)*(-6)\/(-4) + 0 + 6. Solve 3*d = -b*x + 83*x, -2*d = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.46896mg in grams?\nAnswer: 0.07046896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:50 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-896)\/(-1320) - 4\/30. Suppose 8\/11*f + x*f**3 + 0 + 16\/11*f**2 = 0. What is f?\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -13*t**5\/60 + 152*t**2. Let f = 1 + 1. Let a(x) = f*x - 9 + 9. Calculate m(a(k)).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 38. What is c in -1 - 1 + 5*c**2 + 4 - c - p - 3*c**3 = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7*p. Let w(l) = -l - 3. Let q be w(p). Let v(x) be the second derivative of x**4\/6 + 2*x**3\/3 + 2*x**2 + 3*x. Calculate v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 12*i + 3. Let g be h(9). Suppose 5*y = -16 + 6, 3*b = -3*y + 9. Solve b*p - g = -10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t - 2. Let g be m(-1). Suppose 0 = 5*h - u - 55 - 15, 5*u - 25 = g. Let n = -12 + h. Which is greater: -0.3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + i = 4*i + 22, -10 = 3*a + 4*i. Let j = -12 - -17. Suppose 0 = -n + 3*m + 10, -a*m + 115 = j*n - 4*m. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -64, -92, -114, -130?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:15 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17708 is divided by (-1)\/24 - (-167313)\/3096.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, -35 in ascending order.\nAnswer: -35, -18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 80*t**2 + 81*t**2 - 2*t + 4 as y + o*t**2 + d*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 take away -0.0012753?\nAnswer: 40.0012753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*c - 74*c - 4*c)*(c + 8*c + 3*c) to i + l*c + p*c**2 and give p.\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*g + 1465*g = 689*g + 59 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -28805, 2 in descending order.\nAnswer: 2, 0, -28805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 7*r + 8. Let k be q(6). Suppose -k*t = 3*t + 540000. What is t rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*4 - -4. Suppose 6 = 3*v, v + v - 14 = -g*j. Suppose -j*t + 2*t = -27. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + 13 + -155 + (38 - -25).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239\/(7 + 0 + -6)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*i = 97*i - 9039 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2247 divided by -749\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(45) + -1 + (sqrt(245) + (-4 + 1*sqrt(245) - sqrt(245)) + sqrt(245))**2 + 0 + 0 + sqrt(245).\nAnswer: -102*sqrt(5) + 991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 498. Suppose -4*g = -0*g + p - 671, 2*p - t = -g. Let i be 0 + 2 - g\/(-3). What is i rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1626 + 3187\/2. Let u = -673\/144 - 15\/16. Find the common denominator of v and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315334 - 1224?\nAnswer: -321002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -218\/7. Let k = 0.5 + -0.1. What is the second smallest value in 4, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - b = 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4865*m**2 - 353*m**2 + 1324*m**2.\nAnswer: 5836*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 542.182 - 542. Let r = -0.142 + x. Which is the second biggest value? (a) 5 (b) 2\/15 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31847 is divided by 89?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 125 = 0. Let s = h - 20. Solve -4*o - 11 = t, -5*t + 1 - 11 = s*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*w + 48*w + 38*w**2)*(14*w**2 - 18*w**2 + 6*w**2) in the form r*w**3 + f*w + j*w**4 + b + g*w**2 and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/4039 and -39\/14.\nAnswer: 8078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 420880887\/3170 + -132770. Let h = q + 74059\/1902. Let u = h - 39. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122416 and 71718288.\nAnswer: 502028016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 124. Let w = 0.49 - 4.49. What is the nearest to k in 0, w, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270 - 279 - (1 + -4 - 17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w*w**(-5))\/(w\/w**7))**(-28))**(-31))**(19\/3) assuming w is positive.\nAnswer: w**(65968\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 974\/9*x + 16\/9*x**2 - 122\/9 = 0.\nAnswer: -61, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 37*j + 3960 = 0. List the prime factors of j.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 182\/3, -5\/6, 0, -5, -1, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007796355 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2))**(38\/5)*(a*a**(-4\/9))\/a**(2\/3)*a**(-4)*a*a**(-7)*(a**(1\/4))**3 assuming a is positive.\nAnswer: a**(367\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -90*a**2\/7 - 16*a\/7 = 0.\nAnswer: -8\/45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, m: 1, t: 1, l: 2, s: 1}. What is prob of picking 1 x and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let a(z) be the third derivative of -z**7\/126 + 7*z**5\/15 + z**3\/6 - 14*z**2 - z. Let l(p) be the third derivative of a(p). Calculate l(u(k)).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*p - 32 - 8, -3*p - 3 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bb + 1f920?\nAnswer: 1f9db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 10352.\nAnswer: 1\/10352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1296 and 36?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdkokdkfqkdd. What is prob of picking 3 d and 1 f?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11084 - 11016. Suppose -5*f = 211 + 209. Let j be 4\/f - 1\/(-3). Are n and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 + (-6 + 2 + 2)*(4 - 2 + 0) + 4 - 16 - 6)*(c + 2*c - 5*c).\nAnswer: 46*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 27. Suppose 0 = 5*s - a*f - 6 - 8, -3*s = -3*f - 6. Let m = 39 + -39. Solve 5 = 5*c + 4*k - 14, m = 3*c - 3*k - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 18*u - 44. Let q be w(9). Let c = -113 + q. Put -0.3, 0, c, 2 in descending order.\nAnswer: c, 2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1472?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from oiooioo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 (base 9) in base 12?\nAnswer: 5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*w - 214*w - 1035 = 214*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11034.2103 - 0.7897. Let c = m + 11035.28005. Let t = c + -0.28. What is t rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*h + 4*c + 66, -4*h - 9 = 5*c. Suppose -9*o + 23 = 3*i - h*o, i + 4*o = 10. Solve -4 = i*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waa when three letters picked without replacement from {u: 2, a: 2, o: 1, w: 1, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v**0)\/((v**(2\/11)\/v)\/v*v*v**3*v) assuming v is positive.\nAnswer: v**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or 3\/19?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52\/7*k**3 - 24\/7*k**4 + 208\/7*k + 32\/7 + 88\/7*k**2 = 0. Calculate k.\nAnswer: -2, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5 + 7 - 37*b - 1 - 1. Let l(n) = 5*n. Determine t(l(s)).\nAnswer: -185*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - 23.6. Let q = -35 - n. Let x = 8 + -13. What is the third biggest value in q, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151948585?\nAnswer: 5, 2531, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -134*n**4 + 2*n + 365.\nAnswer: -536*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3213\/714)\/(-9*4\/(-264)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 168? (a) 7 (b) -2\/35 (c) 1\/6 (d) 4 (e) -7 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 - -266. Suppose u = 7*u. Suppose u = -16*q + 12*q + 24. What is the smallest common multiple of q and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339324424?\nAnswer: 2, 3, 3343, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*l + 24, n - 3*l + 9 = 0. Let v be ((-4)\/5)\/((-2)\/5). Suppose 5*h - n = v*h. Solve 5*a = 5*x - 17 - 28, 22 = -3*a + h*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -p + 8, -1 = -u - 3*p - 3. Suppose 2*t - n + u = 0, 0 = -5*t + 6*n - 10*n. Is 3478\/(44\/16 - (-3)\/t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*g - 359*g - 406*g + 1001*g.\nAnswer: -139*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -24.530112?\nAnswer: 16.530112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600)*-2)\/sqrt(10))\/(sqrt(20)*5))\/(sqrt(42)\/sqrt(7)*3 + sqrt(48)\/(sqrt(64)\/sqrt(8))).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 10*i + 17. What is the units digit of v(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 9964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23946 and 34198572.\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(-3*sqrt(4)))\/sqrt(12).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 16*z**3 - 5*z**2 - 32. Let a(l) = -7*l**3 + 2*l**2 + 16. Let j(g) = -15*a(g) - 6*o(g). What is the derivative of j(k) wrt k?\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 + 6360\/72 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 5:11 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 9*u + 11. Suppose -6 = 5*t + 19. Let w be y(t). Solve 3*j - 15 = -3*q - 2*j, -q = -2*j + w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - -10 - 30 - (-2 - -19)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15 = -3*p. Let c = -22 + 28. Calculate the greatest common divisor of c and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - -10101111111?\nAnswer: 10101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30237912 divided by -65592.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4290 - 4286. Solve -c = x - 5*a + 1, -2*x + a = 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Suppose -r*p + 2*p = -594. Calculate the greatest common factor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/17 (c) 0.3 (d) 408\/13 (e) -0.5 (f) -2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 5)*(3*u**2 - 8 + 8).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/28)\/((-25)\/220) + (-34)\/238. Find d such that 0*d**2 - u*d**5 - 4\/5*d**3 - 8\/5*d**4 + 0 + 0*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 9 + 1. Solve 0 = -m - t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 + 26 + 23*y**3 - 8*y + 39*y**3 - 65*y**3. Let u = 21 + -30. Is i(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -304 + 653. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876430.3*0.06.\nAnswer: -52585.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = f + 15 + 9, 0 = -3*w - 2*f + 15. Suppose l + 2 = 5. Solve -d = l*n - w, 5*n + 2*d - 9 = 3*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -246.33.\nAnswer: -246.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.230980267 - 0.3735\nAnswer: -0.142519733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81267.82km to meters.\nAnswer: 81267820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5912977?\nAnswer: 7, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(378) + sqrt(42))\/(-2*sqrt(24)\/sqrt(4)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*j + 6126 = 25286 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:36 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - j + 1. Suppose 92 - 90 = u. Determine t(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w**2 - 69*w - 3. Let k be f(-1). Let z be 13\/5 + 3\/(-5). What is the highest common factor of z and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1656, -1654, -1640, -1608, -1552, -1466?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*k**2*u + 16*g*k**2 + 85*g*k*u + 42491*g*u wrt k.\nAnswer: 2*g*k*u + 32*g*k + 85*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.50872 decades to months.\nAnswer: 2701.0464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*((k\/k**1)\/k)\/k*k*k))**(-4)\/(k\/k**(-1\/4))**(-17\/2)*(k**4*k\/((k\/(k\/k**5))\/k))\/(k\/(k**(-1\/8)*k)*k*k*k\/(k*k*k**(1\/4))) assuming k is positive.\nAnswer: k**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123 - -154?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2, 27, -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4466 - 4119. Calculate the greatest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-15)\/18*(-946)\/(-33). Is l less than or equal to -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a second in milliseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/19)*p)\/p**(-6)*(p**1*p)**(-42))**(-16\/7) assuming p is positive.\nAnswer: p**(23344\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1773804 (base 11) to base 5.\nAnswer: 1232200440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.4 + 26. Let t = l - 5. Let g = 1\/29 + -92\/145. Sort t, g, 1\/4 in descending order.\nAnswer: 1\/4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8058664?\nAnswer: 2, 139, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 19. Give x(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396567 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 144\/(-40) + 2*2. Is 0.1 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -690 - -270. What is o rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3, -33\/10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 8296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.108 + 57.108. Let q = 289395.9934 - 289453. Let r = q + p. What is r rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 760 and 28544160?\nAnswer: 542339040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1330625, -2661252, -3991879, -5322506, -6653133?\nAnswer: -7983760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/18 - (-5)\/(90\/(-4)). Solve -q - b = 1, -27 = -4*q + q + i*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161146.\nAnswer: 2, 197, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = -3*r. Suppose 0 = -n + 3*n - 2. Let p = -4 - -7. Solve r = p*j - n + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63618 is divided by 82.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phh when three letters picked without replacement from {x: 1, p: 2, r: 4, h: 2, g: 6}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1439 + -876. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4116*d + 8207*d - 3 - 4088*d. Let a(b) = b**2 + 6*b + 7. Let r be a(-5). Determine u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123210200 (base 4) to base 7.\nAnswer: -650144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 13. Let b(l) = l**3 - l**2 + l - 1. Let f be b(1). Suppose 0 = -f*w - 2*w. Suppose o - a - 2 = -7, -4*o - a - 25 = w. Calculate g(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Let j(l) = -10*l**2 - 4*l + 4. Let s(o) = 91*o**2 + 35*o - 35. Let d(c) = 35*j(c) + 4*s(c). Calculate d(k(z)).\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 98.9 times 0.2\nAnswer: 19.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 5, -3, -4, -23, -191\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 8*v**2 + 17*v + 3. What is n(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/60 + 13*f**2. Suppose 4*q = -y + 3 + 1, 8 = 2*q - y. Let j(t) = -18*t**2 - 11*t**2 + 8*t**q - 2*t**2. What is j(b(a))?\nAnswer: -23*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, x: 5, s: 3, d: 3, u: 1}. What is prob of sequence db?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = -4*z, -3*z = 5*h + 6 + 11. Let b(n) = -n - 33. Let y(a) = a + 16. Let s(m) = -6*b(m) - 13*y(m). Is 13 a factor of s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j - 6. Suppose -10*s + 4*s - 54 = 0. Let y = -13 - s. Let a(n) = -8*n + 5. Let t(l) = y*h(l) - 5*a(l). Differentiate t(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13 = -7. Suppose 0 = -2*o + 4*u + 34, -o - u + 2 = -0. Suppose 0 = -r + 3*w - o, -n*w = -r - 0*w - 9. Which is bigger: r or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)\/k*(k\/(k\/((k\/k**(-8))\/k)))\/k*k)**(-34\/5) assuming k is positive.\nAnswer: k**(-1292\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 - -4d3?\nAnswer: 49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(306\/(-12)))\/(((-10)\/45)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3101.646372 to 1 dp.\nAnswer: -3101.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*r**2 + 2*r - 4*r**2 + 2*r**2)*(-4*r**2 + 4*r**2 - 2*r**2) - 22*r**4 - 30*r**3 + 30*r**3 as h*r**4 + p*r + f*r**2 + o*r**3 + i and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 75. Let u(j) be the third derivative of 1\/150*j**5 + 1\/840*j**8 + k*j**3 + j**2 + 0 + 1\/100*j**6 + 1\/175*j**7 + 0*j + 0*j**4. Factor u(q).\nAnswer: 2*q**2*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65273071, 130546159, 195819247, 261092335?\nAnswer: 326365423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3 = o, 3*o + 2*y - 5*y + 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 24 = 2*u, -5*w - 36*u + 37*u = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + -6 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 249*u + 249. Let g(r) = 3*r**3 - r - 1. Calculate 249*g(c) + o(c).\nAnswer: 747*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -21, -1\/4, 29864, -1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x - 14. Let u = 74 - 78. Let h be g(u). Solve -h*y - 17 = -5*r, 4*y - 23 = -2*r + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, -16, 2 in decreasing order.\nAnswer: 5, 4, 2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*16\/60)\/(-2)*60\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = -2*f, -f - 3*f + 4*g - 16 = 0. Let w = 0.04 - -0.16. Is w != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:31 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(4\/17)\/(t\/(t*t\/((t*t**(-3\/2)*t)\/t)*t)*t*t*t**(-1\/2)) assuming t is positive.\nAnswer: t**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 8. Suppose -p + 32 + 11 = -y*j, 2*p + 2*j = 74. Round p to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -18*p**3 + 640*p**2 - 635*p - 4. What is j(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-94)\/6)\/(3615\/(-180) - -20). Which is smaller: 187 or h?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*q = -8, 2*s - 5*q = 7*s - 20. Solve -s*m = -2*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62\/(212\/(-68) - -3). Calculate the remainder when u\/(-7) - 10\/35 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 186.\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 47548755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42176)\/(-84) + 14\/(-147). Let b = 802 - v. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3098130 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1031 + -597. Let m = d - 433.99999758. What is m rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 20 = 4*f. Let p(j) = 8*j - 3. Is p(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 371*w. Let a(z) = 393*z. Calculate a(k(o)).\nAnswer: 145803*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92152758 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + (3*(-1*sqrt(130) - sqrt(130)))\/(sqrt(40)\/(sqrt(16)\/sqrt(4))) + -5)*4.\nAnswer: -24*sqrt(13) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -5 - (-1)\/(48\/(-256))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-10*c**2 + 13*c**2 + 15*c**2)*(-32*c**2 - 33*c**2 + 53*c**2).\nAnswer: 432*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.9 - 18.9485. Round m to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 2d43ea?\nAnswer: -2d43f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 1) + (28 - ((2 - 5) + 6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227418.84ms to days.\nAnswer: 0.0026321625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 5*h**2 - 3*h**2)*(2*h - 2*h + h**2) + (-3 + 5*h**2 + 3)*(4*h**2 - 2*h**2 + 2*h**2).\nAnswer: 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 + 2140*a**4 + 13*a**3 + 533452*a**2?\nAnswer: 120*a**2 + 51360*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/239929627 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*66\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844 is divided by 106?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1113\/(-106) - 1*-10). Let k be (2\/3)\/(21\/315). Solve -a*o - 3*o + k = 0, -4*o + 4 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:05 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 18 (b) -3 (c) -16 (d) 4 (e) -5.6 (f) -5 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25639, 24996, 24355, 23716, 23079?\nAnswer: 22444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012023 (base 4) to base 3.\nAnswer: -20011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1398 is divided by 1380.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(30)*1)\/sqrt(10).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/287308714 and -45\/14?\nAnswer: 287308714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 4*u**2 + u + 2. Let d = 23 + -26. Determine n(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145529 * 3.642.\nAnswer: 530016.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 12.87\nAnswer: 5.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 74*w - 8182 + 11777 - 12835 = 0 for w.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*w**2 + 4*w**2 + 14*w**2 + (0 + 0 - 2)*(1157 - 1157 - 29*w**2) as m*w**2 + o*w + t and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.7. Let j = -13.7 - -13. Let x = j - r. Which is the nearest to 1? (a) -3 (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6 + (51\/(-6) - -10). Sort z, 9, 423.\nAnswer: z, 9, 423","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1328541, 2657104, 3985667, 5314230, 6642793?\nAnswer: 7971356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 7*t + t - 3 + 3 - 2*t + (5 - 2 - 5)*(t + 5 - 5) - t + 2*t + t - t + t + t - 2*t + 2*t - t - t - 2*t + 2*t + 32 - 35 + 5*t - 7*t.\nAnswer: -8*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {f: 2, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916760 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 548 and 242216?\nAnswer: 242216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqaaqaaaaaaa. What is prob of sequence aqaa?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12076.28 nanometers?\nAnswer: 0.00001207628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**3 - 2*x**2 - 1. Let o(f) = -5*f**3 + 2*f**2. Calculate -4*o(j) - 3*u(j).\nAnswer: 2*j**3 - 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7806 - -23626\/3. Which is bigger: u or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 5. Let s be z(-9). Suppose -s*g - b = -7 - 22, -3*g + b + 27 = 0. Find the second derivative of -x**4 - g*x + 6 - 6 + 9*x**4 wrt x.\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 h when three letters picked without replacement from {m: 1, i: 8, n: 2, h: 4}?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.3 - 1.8. Let h = y + 8. What is the third biggest value in 0.5, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/(-2*1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905803.3 less than -2600?\nAnswer: -3908403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446363.\nAnswer: 446363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2251665.3s?\nAnswer: 37527.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*o + 7\/3*o**2 + 0.\nAnswer: o*(7*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from kaqyaaiskasi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2726, 49, -14\/277?\nAnswer: -14\/277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, -14, -48, -118, -236?\n\"Answer: -2*r**3 + 4*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/(3\/(-9)). Let i(p) = p + 1. Let a(s) = s. Let v(j) = 7*j + 1. Let n(z) = 6*a(z) - v(z). What is l*n(o) - 4*i(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.972 + -7.1. Let s = m - -1.773. Round s to two dps.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3*k + 27 = -3*m, 5*k + 13 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 458*l. Let a(u) = -u**2 - 2179342*u + 2179342*u. What is k(a(t))?\nAnswer: -458*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14203 is divided by 98.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 608.1\nAnswer: -243.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 466*t**3 - 7*t**2 - 42*t - 10. Let q(s) = -234*s**3 + 4*s**2 + 24*s + 5. Determine -4*k(u) - 7*q(u).\nAnswer: -226*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 0*k**7 + 0 + 4*k**2 + 0*k + 0*k**5 + 0*k**6 + 0*k**3 - 1\/4*k**4 - 5\/336*k**8. What is the second derivative of o(q) wrt q?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-2)\/16 - 22\/(-8). Suppose -m = -4*f + 1235, y*f - 3*m = -f + 1225. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/21 + 6\/9 + -4 + -10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8243478)\/108*(-2)\/6*6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 200 - 83. Suppose z - 4*z - 9 = 0, -4*z + g = -3*o. Is (-3)\/(-6)*o*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 578683 divided by -2\nAnswer: -578683\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 19 = -1, 8 = w + r. Let x(i) = -2*i**3 + 25*i**2 - 12*i + 4. Calculate the least common multiple of 16 and x(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/76 and -20\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(3 + (-3*sqrt(343) + sqrt(343) + -2 - (4 + 1*sqrt(343))))**2 + -2 + 5).\nAnswer: -74286 - 3024*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*z + 19. Suppose -z*u + 5*u = -138. Is u <= -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -113?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 195*m**2 + 1660*m + 3360.\nAnswer: 5*(m + 3)*(m + 8)*(m + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**6\/6 - 601*n**5\/5 + n**4\/4 + 2*n**3\/3 - 3*n**2\/2 - 315. Find the third derivative of r(o) wrt o.\nAnswer: 60*o**2 - 14424*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562357247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**0\/u*u*u*u\/u**(-1\/2)*(u\/(u**(-1\/12)\/u))**(10\/7) assuming u is positive.\nAnswer: u**(157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 0 + 0. Let a(c) = c + 7. Let r be a(-5). Let g(o) = -2*o - 5. Let n(t) = -t - 2. Let d(x) = r*g(x) - 5*n(x). Calculate h(d(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1189*r + 29144 with respect to r.\nAnswer: 1189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 75 = 16*a - 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, p: 2, w: 1, b: 2, c: 3, n: 6}. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 732330 or 732332?\nAnswer: 732332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 6*s - 2. Let b(r) = -15*r**3 + 112*r**2 + 13*r - 1135. Let i(u) = b(u) - 2*y(u). What is the second derivative of i(k) wrt k?\nAnswer: -90*k + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/24129 and -46\/33321?\nAnswer: 699741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820253 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11484, 27700, 54728, 92568, 141220?\n\"Answer: 5406*q**2 - 2*q + 6080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43237150 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 2*v - 17 + 5, 5*v = 25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 417.8866 to the nearest integer.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:00 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -68170800 to the nearest 100000.\nAnswer: -68200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 133*v + 24 = -137*v, -a - 2*a - 7484 + 7451 = 6*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z = 2. What is the third derivative of 53*a**3 - 8*a**2 - 2*a**z - 67*a**3 wrt a?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1f2d?\nAnswer: 1f2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97086 and 4?\nAnswer: 194172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:20 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(6*9\/(-27)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -14*f + 20. Let c(d) = 5*d - 7. Let y(r) = -17*c(r) - 6*j(r). Let o be y(-4). Does 13 divide 2\/o - (-55)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 2*b + 9*b - 2*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -32*i + 119. What is the highest common divisor of i and 4829?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s**3 - 3*s + 7. Let t be (-49)\/98 - (1 - (-9)\/(-2)). What is the hundreds digit of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3111?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 2\/45, 5\/7, 0.02, 2\/5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/11813 - -342759\/2149966. What is the common denominator of 38\/9 and z?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5516 + -26?\nAnswer: -5541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/2 + 485*p**4\/2 + 12889*p**3\/2 + 32075*p**2\/2 + 13704*p + 3870 = 0. Calculate p.\nAnswer: -129, -30, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = 26*q - 4, 0 = -3*u - 3*q + 270. Sort u, 3, -2 in ascending order.\nAnswer: -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.47 + 1.6. Let a = 1.34 - -3.66. Sort z, -0.3, a in descending order.\nAnswer: a, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, b: 1, e: 1, z: 1}. What is prob of sequence zo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24956826 divided by -6.\nAnswer: -4159471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) + 71\/4. Let y = 807.4 + -808.4. Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 5c1c (base 15) to base 4\nAnswer: 10302102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 2*x = 3*n - 16, -3*n - 22 = 5*x. Let v(o) = -o**2 - 6*o - 5. Let t be v(n). Solve 0*i + t*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 1. Let b be c(-4). Suppose 5*u - 4*o = -0*o + 4779, b*u = -4*o + 2893. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-12) + 4\/(-6). What is the remainder when ((-7)\/(-14))\/(r\/84) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3662285 and 0.2.\nAnswer: 732457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72394363*z**4 + 169643520 wrt z?\nAnswer: 289577452*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17) + 1 + -5 + ((sqrt(2057)*-1 + sqrt(2057) - sqrt(2057)) + sqrt(204)\/(sqrt(36)\/sqrt(3)))**2.\nAnswer: sqrt(17) + 1692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 9. Let k(p) = 2*p**2 - 35*p - 14. Let h be k(o). Suppose -11*n**3 + 15*n**5 - 3*n**h + 6*n - 6*n**5 - 4*n**3 + 3*n**2 = 0. Calculate n.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3 + 3 - 2 + 3. Let m be (-1 - -1) + 2 - 0. Let l(j) = 3 + j - m + 2. Determine -2*l(c) + 4*s(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6209, 3, -3, -13.\nAnswer: -13, -3, 3, 6209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k + 6*k + 6*k. Let l be b(-3). Solve 0 = -5*z + a + l*a + 32, 2*a + 26 = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 49032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212500\/11 + 19296. Let x = o - -22. Suppose -2*z - 3*z + 5 = 0. What is the closest to -1\/4 in x, 0.05, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0*n**2 - 1\/22*n**5 + 6*n + 2\/33*n**3 + 0 + 1\/22*n**4. Suppose a(j) = 0. Calculate j.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, 22, -1.5422, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 375972 and 33.\nAnswer: 4135692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -881887, -881897, -881907?\nAnswer: -881917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 881?\nAnswer: 4405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/((130\/10)\/91).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322 + -318. Suppose 930 = a - n*b, 0 = -3*a + 5*b + 3604 - 779. Is a a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microsecond in nanoseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344140 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068659 is divided by 1350.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620381 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 1, k: 7}. Give prob of picking 4 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472 divided by -2.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3 + 3)*(529*l**4 + 801*l**4 + 204*l**4) + 4*l**3 - 4*l**3 + 2*l**5.\nAnswer: 1536*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -4*x + 2*x. What are the prime factors of x?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let t(f) be the first derivative of 17*f**2 + 50*f - 320. Let h(m) = -11*m - 17. Let o(j) = n*t(j) + 8*h(j). Differentiate o(g) wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}