diff --git "a/data/dm_maths/full_data_2/10153_11255.jsonl" "b/data/dm_maths/full_data_2/10153_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10153_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 151283478?\nAnswer: 2, 3, 1823, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/60 + n**4\/6 - n**3\/3 + 94*n**2. Let u be 2\/(-9) - 290\/(-90). Give b(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599.\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 + y**2 - 1. Let m be z(-2). Let u = m + -32. Let w be 12*(-1 - (-4)\/6). What is the nearest to -0.5 in u, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q*x**4 + 13*q*x**2 + 3*x**4 + 3*x wrt x.\nAnswer: -72*q*x + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18059 + 177*g**2 + 18059 + (-2 + 2 - 2*g**2)*(-3 + 0 + 5) - 3*g**2 - 2*g**2 + 6*g**2.\nAnswer: 174*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -76. Let h(o) = -8*o**2 + 2*o - 2. Calculate h(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139757436 and 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 1 - 61. Let g be (-10 - 0)*p\/10. Calculate the remainder when (-14)\/2*g\/3 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255.92 - 29.28. Let y = -285 - s. Which is the biggest value? (a) 9 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 + 2. Let r be (-2)\/14 + (-385)\/49. Let w = 11 + r. Sort a, w, 0.3.\nAnswer: a, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -228.\nAnswer: -228, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 978*g**2. Let t(f) = -4*f**2. Calculate h(t(n)).\nAnswer: 15648*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 5*o**2\/2 + 4*o - 67. Suppose -4*y = -1 - 11. Let f(k) = -9*k - 7. What is y*f(v) + 5*d(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 87 = 3*n - 2*b, -81 = -3*n + 5*b. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 20*x + 8*x + 14*x + 5*x**2 + (0*x + 0*x + 3*x)*(-5*x + x + 3*x) to z*x**2 + y*x + i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-4140)\/(-5175)*(-18)\/(-8)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1297046764 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 + 6 = 0. Let v(x) = x - 2. Let j be v(h). Solve j*z = -5*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 21*g**2 + 10*g + 25. Let b be l(-20). Let j = -10 + 14. Suppose -b = -w - j*w. What is the remainder when w is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2365335 plus 29?\nAnswer: 28.7634665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let u be (-5728)\/20 + v\/5. Is 13 a factor of (-44)\/u - 674\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329 - 275. Suppose 1134 = 10*t + o. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 78. Let c = d - -13. Which is bigger: c or -2\/91?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (174 - 171 - (-1 + (2 - -23))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (31 + -97 - -101)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 7. Let o be p(-6). Let f(l) = l**3 - 4*l**2 + 3*l - 4. Let b be f(4). Factor 3*c**3 + 12*c**3 - 2*c**2 - b*c**4 - o*c**3.\nAnswer: -2*c**2*(c - 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, -1\/207, 4, -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-50)\/3*6\/45. What is the closest to x in 9, -0.3, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**4\/4 + 10*u**3\/3 - 4*u**2 + 5*u - 75. Is 29 a factor of k(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13578*z - 15107*z + 41510*z - 15234*z.\nAnswer: -2409*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**2\/2 - w. Let h(s) = -3*s - 1. Let o be h(1). Let x be o\/8*-2 - 0. Let l(m) = -m**2 + 6. Calculate x*l(u) + 6*f(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -356 + 232. Let p = g - -123.826. What is p rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/10 + 1\/(-2). Suppose -o + 14 = -d. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -892a (base 13) in base 6?\nAnswer: -224325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6036837.\nAnswer: 3, 479, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -702298 - -4927487\/7. Let w = -1632 + h. Let j = 343 - 1009\/3. Find the common denominator of j and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550165.\nAnswer: 5, 389, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1023 - 553. Calculate the common denominator of r\/20*1\/(-9) and 119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22122212210 (base 3) to base 8.\nAnswer: 515003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*42\/(-9)*15\/(-160)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1112, -4447, -10006, -17789?\n\"Answer: -1112*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.1. Let v = 3.82 - 2.82. Put v, t, -0.08 in decreasing order.\nAnswer: v, t, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 61*d**2 - 38*d**2 - 27*d**2 - 3*d**3 + 3. Let x be i(-3). Is x >= 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 28 = -110. Let j = 51 - 36. What is the remainder when x is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1770*k**2 + 0 - 39*k**4 - 1750*k**2 + 0 wrt k?\nAnswer: -936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -9. Let h = -100 + 199\/2. Which is the third smallest value? (a) p (b) h (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((sqrt(84)\/sqrt(75))**2 - (sqrt(140) - sqrt(140)*-2)\/sqrt(5)).\nAnswer: -6*sqrt(7) + 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-9 - (-7 + 0 + 7))) + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:13 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d - 2. What is o(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 2*y**2 + 13*y - 12. Let f be n(6). What is the tens digit of -1270*((-20)\/(-130) - (-51)\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 5, 2, 39?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 55*p - 5. Let x(a) = 109*a - 11. What is -9*t(i) + 4*x(i)?\nAnswer: -59*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 154949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Let o(l) = -2*l + l - 2*l + 0*l + 6. Give o(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 508 or 500?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 314263 less than -1221486?\nAnswer: -1535749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3520, 3532, 3556, 3598, 3664, 3760, 3892?\nAnswer: 4066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*s - 6. Let w be -2 - (6\/2 + s). Let x be (-7)\/(35\/w)*(-25)\/(-10). Let k(z) = 2*z**3 - 4*z**2 - 3. What is k(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -1.01. Let h = -2\/1741 - 3476\/5223. Sort -1, n, h in ascending order.\nAnswer: -1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107693657 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25\/3, 0.1, 288, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -458 or -457?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-55) - (-10)\/(-5) - (-175)\/(-55)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 495 and 0.1.\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10345.2*185.9.\nAnswer: 1923172.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let g = 367 - y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 15587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*p + 8311 - 3335 = -3119 - 20161 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -29, -67, -121, -191, -277?\n\"Answer: -8*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69217 and 13129.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 25*k - 14. Suppose 23*g + 9*g + 41*g = -1022. Give q(g).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - 7*k**4 + (-3*k + 5*k + 0*k)*(k**3 + 0*k**3 - 3*k**3) + (-2*k**2 - k**2 + 4*k**2)*(k**2 + 0*k**2 + 0*k**2).\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 588470269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223126186.\nAnswer: 2, 111563093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75*f**3 + 443*f**2 + 1615042?\nAnswer: 225*f**2 + 886*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5214 and 35\/18.\nAnswer: 15642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5082517858.\nAnswer: 2, 11, 8069, 28631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -98233 (c) 102 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c. Let z(b) = 13*b**3 - 2*b**2 + 3. Let l be z(2). Let s = -101 + l. Put -5, s, -4, c in ascending order.\nAnswer: -5, -4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33746 is divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*((-27)\/6 + 1). Suppose 4*r + 44 = 3*t, 3 = -t + 2*r + 17. Let o = t - -12. Calculate the greatest common divisor of o and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.9736589 - 4.78.\nAnswer: -35.7536589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385676834 to the nearest integer?\nAnswer: 19639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let z(s) = -1. Let v be (0 - 5)*10\/25. Give v*z(b) + w(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -44. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 7*m + 37*m)*(61*m + 161 + 43*m - 109*m).\nAnswer: -160*m**2 + 5152*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**8\/56 - q**7\/21 - 59*q**4\/3 - 96*q. Find the third derivative of k(b) wrt b.\nAnswer: -120*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r + 4*r + 0*r - 2*r + 3*r + 0 + 0 - r + (4*r - 4*r - 2*r)*(-1 + 3 - 1) + r - r + r + 5 - 2*r - 5 + 1 - 2 + 2*r - 1 - 1 + 1 + r.\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 866246284 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.14 - 0.14. Let k = 14 - r. What is the closest to -0.1 in -6, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13020 - 12106.9. What is x rounded to the nearest ten?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:45 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)\/d**(-2\/7))**28*(d**0)**(-43)*(d**1\/d)**(2\/75) assuming d is positive.\nAnswer: d**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/39)\/((17\/(-18))\/(-17)*(-34)\/(-51))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 16*i - 19*i. Let h be (i\/(-5) - (2 - -2))*1. Put h, -2, 3\/2 in ascending order.\nAnswer: -2, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**3*n**3 - 65*l**3*n + 2*l**3 + 285*l**2*n**3 - 3*l**2*n**2 - 2*l*n**3 wrt l.\nAnswer: -48*n**3 - 390*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/11 + 21\/(-2772)*-90. Which is greater: j or -7\/27?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 4*c - 29, -4*g - 2*c - 6 = 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5064 and 17091.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q = 106*q - 240*q + 75*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m = 1. Suppose 80 - 290 = 70*t. Which is the nearest to m? (a) -0.3 (b) t (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.36 (b) 5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-16 + 15 + -5) - (5 + -3)) + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 7. Suppose -12 = 8*d - 11*d. Let o be g(d). Let n(s) = -s + 11. Let a be n(8). Sort 0, o, a.\nAnswer: o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 2*x - x - 3*x - 2*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7270*n = 3685*n - 301140 for n.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 35*c**2 + 31*c + 105. Let g be w(34). Suppose v = -g, -21 = -8*y + 6*y + 3*v. Solve 5*q - n - y = 0, -3*q + 5 = -3*n - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 7.8542\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 8. Let s(p) = p**3 + 6*p**2 + 6*p + 1. Let b be s(-5). Is 4 a factor of w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2669509 is divided by 4479.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 169 = 2*s - 48, -3*l + 221 = 4*s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7293183 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 32 = -6*c + 10*c, 0 = 2*c. Let o(x) = -x**2 - 8*x + 11. Calculate o(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -303633 - -2125435\/7. Solve a*n**2 - 136\/7 - 132\/7*n = 0 for n.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -58*s**5 + 175214*s**4 + 12316*s**3 - 700856*s**2 - 48336*s = 0.\nAnswer: -2, -2\/29, 0, 2, 3021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:09 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/13)*f*f*f**(1\/6)*(f\/(f*f\/((f*f*f\/((f*f**(-2\/3)\/f)\/f)*f)\/f*f))*f)**(6\/35)*(f**7*f*f**(-6))\/(f**3\/(f\/f**(-3))) assuming f is positive.\nAnswer: f**(17177\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 + 10*f + 5. Let i be q(-4). Solve -4*l = k + i, 4*k + 20 = -4*l - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 605\/(-242)*(9 + -3)*-1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(sqrt(1872) + -6*(-1 + sqrt(1872) + sqrt(1872) - sqrt(1872) - sqrt(1872)))**2 - (sqrt(52) + -5 + sqrt(637) + 5)).\nAnswer: 855*sqrt(13) + 11446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*4 + -3 + 3.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/21*(-4)\/26\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/7)\/s)\/s**(-4\/11))\/(s**(-12)*(s*s**8\/s)\/s) assuming s is positive.\nAnswer: s**(281\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -6c24291?\nAnswer: -6c2428a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 3*j - 7*j, 0 = 2*w - 2*j - 4. Suppose b = -4*o - 10, 7*b - w*b + 5*o - 10 = 0. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddppddddppddddppd. Give prob of picking 1 d and 2 p.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1475206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 9*t**3 - 12*t.\nAnswer: -3*t*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**3)))\/((a\/(a*a**(-1)))\/a))\/(a**(-1\/2))**18*(a\/(a*a**(5\/6))*a*a*a**(-6))**46 assuming a is positive.\nAnswer: a**(-646\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -29 (b) 23 (c) 14.1 (d) 3\/8 (e) 2\/11 (f) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 983*b**5 - 9*b**3 - b**2 - 170212*b wrt b?\nAnswer: 19660*b**3 - 54*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/273 and 41\/39 + (-58)\/(-87)?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -0.06 (c) -0.08 (d) -0.4 (e) 39\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -15 - ((7 - 18) + 18)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.23831401719 less than -0.2?\nAnswer: 76.03831401719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q - i + 124, 71 = q - 4*i. Let u = q - 57. Solve -u*a + a = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 16 = 24. What is the tens digit of (-2 - o) + -1 + 89 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 + 47*t + 32. Determine j(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 10030 + 179*r - 10030.\nAnswer: 184*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1682186 is divided by 60078.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15160 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 573200107 to the power of 1\/2, to the nearest integer?\nAnswer: 23942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**4 - w**4 - 2*w**4 + (0 - 3*w**3 + 0 + 0*w**3 + w**3 + w**3 + (-w**3 + 2 - 2)*(-2 + 3 + 0))*(143 - 143 - 17*w).\nAnswer: 37*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 8*b + 2. Let u be z(-8). Solve u*n - 27 = -5*k - 0*n, 20 = 3*k + 5*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 30 = -21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 3*x**2 + 3*x - 2. Let q be u(-2). Let o(g) = 438*g - 48. Let h be o(q). What is h rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 11) + (0 + 4 - -9) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77729, -77496, -76799, -75404, -73077, -69584, -64691, -58164?\nAnswer: -49769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 1. Let i(p) = p**2 - 8*p + 5. Let k be i(6). Let z = -9 - k. Let g be f(z). Solve -13 - 1 = g*w + 3*r, -2*w + r = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 - 1.68. Let s = x + 3.18. Let f = s + -4. What is the third biggest value in -4, f, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**(-1\/29)\/(p**6*p**(-3\/4)\/p) assuming p is positive.\nAnswer: p**(-497\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/7 - 48*p**3\/7 - 569*p**2\/7 - 522*p\/7.\nAnswer: -p*(p + 1)*(p + 18)*(p + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2320, 5, 12.04, -1, 2?\nAnswer: -2320","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -25 - -12 - ((-2 - -4) + 17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 648588*u**3 + 270113418*u**2 - 37529651388*u + 1738500546603.\nAnswer: 3*(u - 215779)*(u - 139)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8327 times 7?\nAnswer: 19.8289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w - 13*w + 2. Suppose p + 3*i + 0*i = 2, 8 = 4*p + 4*i. Suppose w*x + 1 = p*v + 83, 4*x - 182 = -2*v. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 632\/(-3234) + (-2 - (-48)\/22). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 31 + 14. What is the units digit of 4\/(24\/h)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-79)\/123 - 6\/(-9). Let u = 1026 + -1025. Are p and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -21. Suppose 0 = -q*f + 18*f. Let t(y) = y**3 + y**2 - y + 13. Determine t(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 166.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/5807, -3\/2, -4, -2\/11?\nAnswer: -2\/5807","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*d - 649*d = -2230 - 12195 - 1619 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 + 36612*l - 335109636 = 0.\nAnswer: 18306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 2*f**4 - f**4 + ((4 + 3 - 5)*(-4*f + 3*f - f) - f - 8*f + 22*f)*(-f**3 + 1 - 1) + 3*f**3 + 3*f**3 + 2*f**4 + 4*f**3.\nAnswer: -8*f**4 + 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1070 - 1102. Which is the second smallest value? (a) -0.1 (b) w (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 371\/20 + -89\/5. Suppose 17*o - 43 = 8. Sort b, -0.2, o, -1 in decreasing order.\nAnswer: o, b, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2)*(-827 + 827 - 8*w) in the form s + p*w and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (1 + -6 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2407 + -2396. Let c(m) = 20*m**3 - 11*m**2 - 6*m - 4. Let j(t) = -4*t**3 + 2*t**2 + t + 1. Calculate o*j(v) + 2*c(v).\nAnswer: -4*v**3 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.324445l to millilitres.\nAnswer: 9324.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:14 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 4*g**7 + 34*g**3\/3 + 62. Find the third derivative of c(k) wrt k.\nAnswer: 3360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.34 + 1.04. Which is the third biggest value? (a) 5 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.1004, 1\/6, 1.\nAnswer: -0.02, 0.1004, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11196*w**3 + 11195*w**3 + 134*w**2 - 134*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 9:29 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 3*j + 109*j**2 + 6 - 6 - 781*j**2.\nAnswer: -672*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:06 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*w - 8 = 0, 2*t + 3*t + 5*w = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 3*q + 40 = -n, 0 = n - 3*q + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 take away 44.7?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 275*x\/6 - 2432\/3.\nAnswer: -(x - 256)*(x - 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 7464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)*-6 - sqrt(66))\/(sqrt(294) + 1*sqrt(294) - sqrt(294)).\nAnswer: 11*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36970, 74173, 111376, 148579, 185782?\n\"Answer: 37203*j - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -2*(4 + -3). Suppose -n*d = -60 + 45. What is the derivative of 23*m**3 - 10*m**d - 12*m**3 - 15 wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-2 - (2 - -10) - -54)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 152*r + 2762. Calculate z(-20).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14*y*y\/(y\/y**(-2)) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u. Suppose 5*j = -3*m + 49, u*j = j + m - 11. Suppose -3*y = x + 1, y = x - 3*x + 13. Are j and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 - 480*c + 7. Let q be j(80). Solve 3*t - 4 = -d, 5*d = 4*t - q - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82251 divided by 57.\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(-4 - (-1047)\/261). Let u = h + -25. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*z + 3739*f**3 - 10*f**2*z**2 + 4*f**2 - 3253*f*z wrt z.\nAnswer: -2*f**3 - 20*f**2*z - 3253*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/6)\/7*-4. Solve -c*l - 4\/9 - 2\/9*l**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 9. Let h be n(-6). Suppose 4*f = -h*c + 4*c - 1, 5*c - 5 = -4*f. Let i(d) = -2*d**2 + 2*d - 1. Calculate i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(5265\/728)*(-132)\/(-154)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 6. Let l(b) = 44*b**2 + 2*b + 1. Is l(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1266 - 1267. Put h, -5, 62 in increasing order.\nAnswer: -5, h, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -9, 16 in decreasing order.\nAnswer: 16, -2, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18*z**2 - 6*z + 6. Let f(c) = -c + 1. Calculate -4*f(r) + g(r).\nAnswer: 18*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -24. Let i = 3 - n. Let f(z) be the first derivative of -z**3\/3 + z**2\/2 + 6*z - 3. Give f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3710 or -870?\nAnswer: 3710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 1.8 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18*w*w**(-11)*(w\/w**(-5\/3)*w)\/(w*w*w**(2\/19)*w*w))**(7\/10) assuming w is positive.\nAnswer: w**(3017\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9768.367ml in litres?\nAnswer: 9.768367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2\/13 (c) 0.2 (d) 35\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -18747?\nAnswer: 18762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p = -4*b + 69*p - 4, 2*b + 3*p - 12 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b - 116. Let v be i(-17). Let x be 112\/11 - v\/110. Solve -3*j + 0*j = 15, 2*s + 4*j + x = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 5. Suppose -4*o + 3*o - 3*z = -7, -3*o - a*z = -46. What is the remainder when 65 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*r = -33573, -r = -j + 3*r + 6711. Let z = j - 1447. Let y = z - 3454. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 32) + (6 - -6) + -22 + 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484 and 11858.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 11*f - 7. Let c(n) = -12*n**2 - 45*n + 33. Determine 2*c(q) + 9*p(q).\nAnswer: 3*q**2 + 9*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2*v**6\/3 - 4*v**5\/5 - 7*v**4\/4 - 2*v**3\/3 + 106. Solve g(c) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480.67 times 4\nAnswer: 1922.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61584807.\nAnswer: 3, 61, 336529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 5.06280431561.\nAnswer: -69.93719568439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = i + 36 - 174, 2*r - 662 = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 866.2721ml?\nAnswer: 0.8662721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 11*l + 4)*(-70*l + 28*l - 32*l)*(5*l + 0*l - 2*l).\nAnswer: 2442*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*w + 594*w = 2016 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0487 + 2.8813. Let f = 1.97 - 2. Let x = g + f. What is x rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 32*i**2 + 69*i - 3. Calculate d(-34).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = f + 40*l, -12*f = -14*f + 3*l - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53622 and 5958?\nAnswer: 53622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 33, 1, -51, -129, -239, -387?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -9*o**3 + 381*o**2 - 3006*o + 960 = 0.\nAnswer: 1\/3, 10, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 295045816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1427455.42 to the nearest one hundred.\nAnswer: 1427500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*z - 6 = 0, 6*z + 10 = 5*n + 2*z. Let q be -1 - 1 - (n - -4 - 68). Let s = q - 33. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 1)*(-3 + 6 - 1)*(-2*v**3 + 3*v**2 - 3*v**2).\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234175537 to the power of 1\/2, to the nearest integer?\nAnswer: 35131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235606, 235604, 235602, 235600, 235598, 235596?\nAnswer: 235594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248851368?\nAnswer: 2, 3, 3456269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 1\/6*y**3 - 13\/14*y**7 + 53*y + 0*y**6 - 9*y**2 + 0*y**4 + 1\/20*y**5 - 2. Find the second derivative of r(z) wrt z.\nAnswer: -780*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 113*q**2 + 3068*q + 363. Let x be r(-45). Let -4*i**2 + 2\/3*i + 4 - 2\/3*i**x = 0. What is i?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 8335541.\nAnswer: 8335540.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (35 - (-8 - (-11 - 4)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4 + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3671\/4 - -919. Are s and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -1.4. Let k = 40 - 43.72. Let a = h - k. Sort -2, a, -2\/3.\nAnswer: -2, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 12, 0 = 3*s + 4*l - 266 - 94. Suppose 2*q + s = -2*i, 5*i - 3*i = 5*q + 318. Let n = q + 149. What is n rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {o: 4, c: 1, t: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 622385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -13, -21, -43, -85?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 3*k**2 - 17*k - 6. Let c be d(6). Suppose 6*q - 864 - 918 = c. Calculate the greatest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + (-6 - (9 + -12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((5 - (1 + 2)) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4875 + 4875. Which is smaller: 15\/68 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-14))\/(1\/(-2)*(-320)\/80).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3374257 (base 8) to base 9\nAnswer: -1645007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Let l = -0.3 + 0.2. Let h = -844.7 - -845. Which is the nearest to 0.3? (a) h (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -809 + 0*f + 806 - 4*f.\nAnswer: -4*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let p(o) = 801 - 366 - 435 - 1259*o. What is p(y(s))?\nAnswer: 1259*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -266 + 271. Determine f, given that 77*f**4 - 28*f**4 - 6*f - 29*f**4 - 25*f**4 + f**5 + u*f**2 + 5*f**3 = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*u - 34*u + 311 - 408*u**2 + 407*u**2 - 3.\nAnswer: -u**2 + 21*u + 308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (586*x + 566*x + 453*x + 2)*(-4 - 1 + 1).\nAnswer: -6420*x - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - f - 927 = -335, 3*n = -4*f + 1811. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 + -95035840991.\nAnswer: -95035840954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443 (base 5) to base 11.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27\/4 - 275\/12. Let v = 629\/21 + t. Let q be ((-2)\/1)\/((-28)\/4). Which is the nearest to q? (a) 2 (b) -3\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**15\/g*g**(2\/11) assuming g is positive.\nAnswer: g**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/2)\/((-1)\/6). Let s be ((-10)\/(-15))\/(2\/x). Suppose s*i - 9 = 4*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -991131 or -991129?\nAnswer: -991131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*v**4 + 47*g*v**2 + 2*g*v - 5*g + 20*v wrt v?\nAnswer: -12*g*v**2 + 94*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675697 is divided by 387?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -17) + 3 + -1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -607532 take away -1172164?\nAnswer: 564632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llj when three letters picked without replacement from ljjljj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*j + 1746 = 32*j + 48*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*t - 7459 = -412*t - 41955 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*m - 9, 8*m + 9 = 5*m. Let p = -66 - -56. Are b and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3845)\/(-5383) + (-2)\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4145950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 7*k = 0. Suppose k*t - 5*t + 90 = 0. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162*5\/2*12\/90\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 4046?\nAnswer: -4048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8796, -8798, -8800?\n\"Answer: -2*v - 8794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i + 8*i - 9*i)*(-5 + 3 + 1)*(-8 + 11 - 53).\nAnswer: 850*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -17. Let l = a + 21.029. Let n = 0.0336 - l. What is n rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/11 - 125710*z**4\/11 = 0.\nAnswer: -62855, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4065663?\nAnswer: 3, 7, 193603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041023 (base 5) in base 8?\nAnswer: -43527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 4, 4, 8, 16, 28, 44?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*s + 20, 2*s = 5*c + 5*s - 15. Let j be (c + -10)*5\/(-10). Suppose 8*k = j + 83. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1465042.\nAnswer: 5\/1465042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czfazaczafxzczabczx. Give prob of sequence abff.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1 - -5) - -6 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-10\/11))\/q**(-9)*(q\/(q\/(q**(-1\/19)\/q*q)*q))\/q**2)**(3\/11) assuming q is positive.\nAnswer: q**(3786\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 + 6*r + 2. Suppose 4*y = c + 38, -2*c - 134 = 5*y - 6. Let o be (-25)\/15*c\/15. What is u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 - 7*r**2 + 8*r - 4. Calculate the remainder when 103 is divided by q(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/53 + -59\/318. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - r**3 - 94 + 0*r**3.\nAnswer: -r**3 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5635\/101 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 divided by -5?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/25326 and -95\/13608.\nAnswer: 911736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53\/390 + 7\/26. What is the closest to -0.1 in 4, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/5))**9)**(-9\/7))**(16\/5) assuming d is positive.\nAnswer: d**(2592\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 631 + -629. Suppose -7*r + f*r = -175. What is the highest common divisor of r and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**8*y**(-8))\/(y**1*y)**(23\/3) assuming y is positive.\nAnswer: y**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {e: 2, b: 7, y: 3, i: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k + 2. Let g be 5 + -2*1\/2. What are the prime factors of q(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*a + 8 = -k, 3*a + 10 = 2*k. Let i(b) be the first derivative of -2*b + 2*b**k - 2 - 2\/3*b**3. Find h, given that i(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 + 9*r - 12. Let c be v(6). Solve -3*b - c = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2660? (a) 15 (b) -31 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 778272\/217 - 25108\/7. Let u = t - -2\/31. Which is the second smallest value? (a) 3 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 40 + 36 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*g, 982*q - 979*q - 2 = 2*g. Let k(m) be the second derivative of 0 + 19\/3*m**3 - 12*m**q + 43*m. Differentiate k(c) wrt c.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from ewwx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 366, 364, 362, 360, 358, 356?\n\"Answer: -2*n + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 79854328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -14816734820 to the nearest 1000000.\nAnswer: -14817000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 20 - 3)*(-7 + 3 + 3)*(5*s - 3*s - 3*s)*((s + 0*s + 0*s)*(1 - 3 + 6) + 3*s + 2 - 2)*(s + 2*s - 2*s).\nAnswer: -196*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -176000110 - q**2 + 176000110. Let c(h) = -334*h + 7. Determine c(s(z)).\nAnswer: 334*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 395*n**3 - 726*n**3 + 329*n**3.\nAnswer: -2*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Suppose -3*u + 2 = -k*u + 2*z, 0 = -2*u - z - 4. Which is the biggest value? (a) u (b) -1\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1248)\/(-56))\/13*231\/12\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 5. Let x = 7 - 4. Let d(v) = 0*v - x + 5 + v. Let m(s) = -6*s - 23. Let w be m(-5). What is w*d(f) - 3*o(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(5103) - sqrt(5103)) + -1)*2 + 5.\nAnswer: -162*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3623 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**8\/2016 + 7*s**6\/720 - s**5\/60 + 48*s**2. Let c(t) = 0. What is t?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 740*k**2 + 3311*k - 270111. Calculate w(736).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 17. Let l be x(-11). Suppose -12 = -2*y - l. Suppose -y*p - 11 = -29. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52777 is divided by 52766?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**6\/3 + 28*v**5\/5 + 29*v**4 + 40*v**3\/3 - 275*v**2 - 500*v - 153. Solve y(w) = 0 for w.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/18 and 3*9\/(-54) - (-350)\/132?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 850, 1843, 2996, 4309, 5782, 7415, 9208?\n\"Answer: 80*y**2 + 753*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i**5 - 349*i**4 + 12*i**3 + 6276*i**2 + 14*i?\nAnswer: -420*i**2 - 8376*i + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17462 (base 9) to base 2.\nAnswer: 10111100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 - 346. Which is the closest to n? (a) -0.5 (b) -0.7 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -10. Sort h, 5, -7.\nAnswer: -7, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {q: 4, n: 1, l: 5, g: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-60))\/(((-1)\/4)\/(26\/52)). Put 3, d, 5\/3, -2, 1.78 in decreasing order.\nAnswer: 3, 1.78, 5\/3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/51*(-4411)\/(-4812)*(-8)\/66.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 - 3. Let t(q) = -4*q**3 + 2. Let p(u) = -6*t(u) - 7*v(u). Differentiate p(f) with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than -107\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 - 80*y\/7.\nAnswer: -4*y*(y + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3544147, 3544180, 3544213?\nAnswer: 3544246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56371 + 56370. Let q = 1.2 - 6.2. Let s = q - -4.89. Is s smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*l + 26. Let o be l\/4*(-4 - 0). Let s be (-3)\/3*((4 - -8) + -13). Solve w = o - s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.8 - -21. Round d to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000448024 to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 3\/4*f**2 + 1 + 0*f**3 + 1\/2*f - 1\/2*f**4. Factor u(l).\nAnswer: -(l - 1)*(2*l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 2, u: 7}. What is prob of sequence ui?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 780, 1959, 3542, 5529, 7920, 10715, 13914?\n\"Answer: 202*l**2 + 573*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.062? (a) 0.2 (b) 40 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -17\/76570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s. Let t be n(2). Calculate the common denominator of -57\/16 and (40\/(-56))\/(24\/t).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11109.41208 rounded to 0 dps?\nAnswer: -11109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1315 and 3.14046.\nAnswer: -1311.85954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 57 + -28 + 34 - -56.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.6101 - 0.1001. Let z = 0.31 - g. Let s = z - -1.2. Sort s, 1, -5 in increasing order.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18835422 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + (-4*(sqrt(162) + (sqrt(162)*3 - sqrt(162)) + sqrt(162)))**2 + sqrt(162)) - sqrt(162))*5*6.\nAnswer: -1244160 - 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 380, 0.04, -4, -3, -770?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-127908)\/13566*(-7)\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*x**2 - 31 + 18*x**2 + 3*x + 0*x - 75 - x to l + d*x + q*x**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0362 from 0.03.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 - 31. Determine y(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134797 less than or equal to 134817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 3*m**6\/40 + 3*m**3 + 14*m**2. Differentiate i(r) with respect to r.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*f + 203*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a meter in centimeters?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (7 + (3 + 21)*-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 29*k**2 - 2. Let i(s) = -22*s**2 + 347. Let y(f) = 15*f**2 - 217. Let j(t) = 5*i(t) + 8*y(t). Give -3*h(o) + 8*j(o).\nAnswer: -7*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**4 - 26*a**3*l**2 - 3*a*l**2 - 6*a + 2 wrt a?\nAnswer: -60*a**2 - 156*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 = -25. Let w = j - -15. Suppose -g - 580015 = -w*d, g + 0*g - 2*d + 580006 = 0. What is g rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 686, 0.1, 4\/37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 0 - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15305401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/13)\/(2\/208*-13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p*p**(-11)*p)\/(p**(7\/3)*p**(-6)) assuming p is positive.\nAnswer: p**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + 377\/(-52). Let f be -1*(w + 4)*2. Is ((-332)\/(-8))\/(3\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(((-3)\/(-6))\/1). Let a be 9\/6*22\/(-3). Let o = x - a. What is the remainder when 13 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 31*d**3 - d**2 - 2*d - 1. Let q be y(-1). Let b = q - -29. Put b, 3, 2 in increasing order.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4457 is divided by 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 29*r**2 + 6*r + 2. Let y(z) = -z**2 + 2*z - 1. What is -k(o) + 3*y(o)?\nAnswer: -32*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12397, -38156, -81079, -141160, -218393, -312772, -424291, -552944?\n\"Answer: f**3 - 8588*f**2 - 2*f - 3808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 910\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 f, and 1 n when four letters picked without replacement from nnffmnfffnmfnnfmnf?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/15*(-490)\/(-4). Let u = 6 + p. Let k = -58 - u. What is the highest common factor of 85 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*c**5 + c**4 - 7*c**3 - 2*c**2 - 39*c.\nAnswer: 4620*c**2 + 24*c - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(300) - (-6*sqrt(300)*1 + sqrt(300))) - (-1 + 1 + sqrt(300) + sqrt(300) + (sqrt(300)*-2*-3 - sqrt(300)))**2.\nAnswer: -14700 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.128757 and 17576338.05.\nAnswer: 17576338.178757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 + 33)\/((-1)\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545203 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 19496610.\nAnswer: -1\/6498870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891421?\nAnswer: 891421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 3*u**2 + 2. Let o be f(2). Let k(g) = -2*g + 2*g + 4*g**2. Let j be k(o). Solve 2*m - 6*m - j = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-2 - (1 - 2)). Let j(m) = 5 - 2*m - m**k - 5*m**2 - 5*m. Let c = -34 + 29. Let i(r) = -5*r**2 - 6*r + 4. Calculate c*i(n) + 4*j(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-2*g + g - g)*(1 + 1 - 3).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2)*7\/3*-6. Let i(h) = 10*h**2 + 69*h + 45. Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(6\/(-4)) - -3. Let z = b + -13\/3. Suppose -5*q + 5 - 15 = 0. What is the nearest to q in z, 3, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 22*n + 29. Let y(h) = -h**2 - 8*h - 10. Determine 11*y(u) + 4*z(u).\nAnswer: u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488924268 and 31584.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 - 3702*x - 2159136 = 0. What is x?\nAnswer: -432, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45077*w**2 + 245077*w - 245077*w.\nAnswer: 45077*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 - 59a633?\nAnswer: -59a581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9056 >= 348\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -18. Suppose -40*g = -43*g + 87. Calculate the remainder when g is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22170 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:31 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 763 and 21?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29626, 63189, 96756, 130327?\nAnswer: 163902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {q: 3, o: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772 = 6*m + 832 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 4, 2\/17, 0.1, 449?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13230 + -13305 + -2 + -2 + -16?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261229 > 261230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 347250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213 + 222. Suppose 5*o + s = -4*x + 280, -5*x = 4*o - 215. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -40. Does 4 divide (-2)\/(-2)*-3 + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 3886912*h\/3 + 3886918.\nAnswer: -2*(h - 3)*(h + 1943459)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 209 from 470.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**2 + 399*w**3 + w**2 - 400*w**3 + w to the form g + v*w**3 + r*w + a*w**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669572?\nAnswer: 2, 3, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24314 is divided by 2693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024*a + 42*a - 705*a + 51*a.\nAnswer: -1636*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16218, 30851, 45484, 60117?\nAnswer: 74750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -h + 67, 0 = -5*h - 3*l + 122 + 141. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010101110111100111101 (base 2) to base 16.\nAnswer: -aaef3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 98686, 197007, 295328?\n\"Answer: 98321*s + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -37?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1162*i + 217364 = -1158*i, 0 = -b + 3*i + 54353. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 15.11, -2\/11.\nAnswer: -2\/11, 3\/4, 15.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 92.9812um?\nAnswer: 92981.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**7*i)\/((i*(i\/(i*i**7*i*i))\/i*i)\/i))**(-25))**(4\/11) assuming i is positive.\nAnswer: i**(-400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.756\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarrraifaa. Give prob of picking 1 r, 1 i, and 1 f.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*141\/(-94) + 66\/(-24).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 22. Let r be f(-11). Let b = r - 1. Calculate the highest common factor of b and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 8:34 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2. Let z(b) = -9*b - 5. Let y(d) be the third derivative of d**4\/6 + d**3\/3 + 9*d**2. Let h(f) = 5*y(f) + 2*z(f). Calculate h(t(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1.03. Let g = -0.0299996 + n. What is g rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10*p - 37. Let l be v(4). Which is the biggest value? (a) 1\/31 (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282 + -42. Suppose a = 3*y - 0*y. Suppose y + 58 = 2*p. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -53237702?\nAnswer: 53237705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7081229.\nAnswer: 347, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3398 - 1802. Is x a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68913, 68911, 68909, 68907, 68905?\nAnswer: 68903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*k\/((k*k*k**(-4\/5))\/k)*k)\/k)*k*(k**1*k)\/k*k*((((k*(k*k*k**2)\/k)\/k)\/k)\/k)**(-1\/17) assuming k is positive.\nAnswer: k**(182\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1286668 - 0.12552. Round m to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1)*a*a**(-2\/9))\/(a**(1\/13)\/(a**(-12)*a)))**(4\/23) assuming a is positive.\nAnswer: a**(-3884\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 33 = 6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*r**4 - 3*r**2 + 4*r**3 + 7*r - 8*r - 2*r**3 - r**4 to the form y*r**4 + n + i*r + b*r**3 + u*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 6. Let x be d(4). Let y(f) = x*f**2 + 995 - 995. Let l(p) = 3*p + p - 5*p. Give l(y(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/5 (b) 7 (c) -75 (d) 2\/33 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-170)\/51*(-2)\/5*6. Let g = -332 + 584. Suppose 11*d - g = q*d. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 7*m - 230. Determine b(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4 - 2*j**3 + 140*j**2 + 12738 wrt j.\nAnswer: 4*j**3 - 6*j**2 + 280*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 38552\nAnswer: 35\/19276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 6\/(-24) - (-63)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 + 25*p**2 - 5*p**2 to the form b*p**2 + r*p + h and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -143, 1\/9, 0.1?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171207*a**3 + 2*a**2 + 171025*a**3 - 2*a**2.\nAnswer: -182*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 17328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10168*d - 15199857 + 15199857 to x + c*d and give c.\nAnswer: 10168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 s, and 1 z when four letters picked without replacement from {s: 2, d: 1, m: 1, z: 4, n: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*o**3*u**3*w + 14*o**3*w - 3*o**2*u**3*w - 4*o**2*u**2 + 2*u**3 + 2*u**2*w wrt o.\nAnswer: 78*u**3*w + 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 6*r - 33. Solve v + 0 = -r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -16, 2\/3, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 - c - 1. Let u be r(-4). Is 85\/3 - 1\/u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)*s)**14 assuming s is positive.\nAnswer: s**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764\/(-420)*(-30)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 2*b**2 - 2*b + 2. Let r be c(2). Let u(m) = 0 + r*m - 3*m**2 - 4*m - m - 1 - m**3. Calculate u(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -24) + 30 + 5 - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 28. Let t be m + -3 + (-1 - -3). Is t less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2854326538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = -3*h + 152. Suppose 0 = -t + h + 264. Calculate the remainder when t is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3 - 3692208*o**2 + 7384419*o - 3692210 = 0.\nAnswer: -3692210, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-40))\/((-4)\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 303, 728, 1303, 2028, 2903?\n\"Answer: 75*s**2 + 200*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 15. Let c be q(-14). Suppose 0 = 3*x + 4 - 1. Let k be 104\/(-24) - 2\/3. Sort x, k, c in decreasing order.\nAnswer: c, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 + -103. Suppose 3*b - 5*r + 15 = f, b - 3*r - 26 = 0. Suppose -2*x + 6*x - b = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkkdlxxdllllllll. Give prob of picking 1 d, 1 l, 1 k, and 1 x.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/((-4)\/218))\/(880\/10) and -89\/14.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -507, -481, 45, 1065, 2573, 4563, 7029?\n\"Answer: -s**3 + 256*s**2 - 735*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 28. List the prime factors of (-5)\/((-50)\/n)*(-2180)\/(-8).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 8 - 6*r**2 + 5 wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*l = 2*d + 99*l - 16, -4*l = 49*d - 237 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (731 - 747 - (-3890)\/243)*9\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -343, -2, -10, 9, 82 in increasing order.\nAnswer: -343, -10, -2, 9, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from ildlifllllliyiid.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 283*j**3\/6 - 18*j**2 + 2*j + 30. Differentiate k(x) wrt x.\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -410 - -874. Let y = -72 + h. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -14. Suppose 5*y = 4*f - 49, d*f = 3*y + 4*f + 32. Let s = y - -20. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42548\/3 greater than or equal to 14184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2, 1\/7, -0.3587, -41 in decreasing order.\nAnswer: 2, 1\/7, -2\/7, -0.3587, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.383 - 0.117. What is l rounded to 0 dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 - 73. Let z = t - 60. Suppose 6*x - 1800000 = -z*x. What is x rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, x: 2, u: 3, l: 1, r: 3, t: 2}. What is prob of picking 2 t and 2 c?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*g**3 + 0*g - 1\/5*g**2 + 0 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -340, -687, -1052, -1441, -1860, -2315, -2812?\n\"Answer: -v**3 - 3*v**2 - 331*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 271 and -0.02121?\nAnswer: -5.74791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19314 by -261.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89.196 + -89.1960174729. Round j to seven decimal places.\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*j**3*y**2 - j**3*y - 97*y**2 + 2*y wrt j.\nAnswer: -855*j**2*y**2 - 3*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049918338.\nAnswer: 2, 13, 31, 2543323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 55\/(-20))\/(38\/152).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.2, 4\/43, -3\/5, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + l**3 - 2*l**2 + (2*l**3 - l**2 + l**2)*(4 + 0 - 2) + 8*l**2 + 233*l**3 + 238*l**3 - 474*l**3.\nAnswer: 2*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*m + 8 = 2*m, 0 = -5*m + 5. Suppose 247*u - 17*u - 437 = 196 + 57. Sort l, -6, 5, u in increasing order.\nAnswer: -6, l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = 262*j - 222*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**3\/3 + y**2 + 3*y + 67. Let r(i) = i**2 + i + 18. Calculate the least common multiple of p(3) and r(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 433 - 377 = -5*y, 4*y = -3*q + 42. Calculate the remainder when 599 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7 and 34\/8117405?\nAnswer: 56821835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1440 - 190*b**2 - 68*b**2 + 1440 + 256*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -286.79. Let u = -1.3 + x. Let f = 3861 - 3859. What is the third smallest value in f, -4, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -43.727.\nAnswer: -21.8635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9) + -2 - (1695 - 1691)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 26863?\nAnswer: 26863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.429 to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360666490 to the power of 1\/3, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953 a factor of 106797852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:47 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 0. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + 10102021000?\nAnswer: 10102100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2278 and 1273?\nAnswer: 43282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 + -17)\/((-2)\/8). Suppose -3*p + 2*u + 191 - 42 = 0, -v*p + u + 197 = 0. Suppose -5*t = q - 40 - p, -q + t + 59 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (2 + 8 - (-4 + 21 - -50))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 235424 (base 6) to base 15\nAnswer: 61da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11623 (base 8) in base 9?\nAnswer: 6777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/5))**(-37)\/(z**(-2)*z*z\/((z**(-10)*z)\/z)) assuming z is positive.\nAnswer: z**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -420 - -12611\/30. Find the common denominator of ((-12)\/(-9) + -3)*13 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 230 = 6*p. Let b = p - 111. Let o(g) = g**2 - 2*g + 1. Give o(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -584 + 582. Let k(j) = 4*j**2 + 53*j + 149. Let b(v) be the first derivative of 2*v**3\/3 + 13*v**2 + 74*v + 1. Let x(p) = o*k(p) + 5*b(p). Factor x(g).\nAnswer: 2*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**3 + 10*r**2 - 3*r + 56. Let m be s(-6). What is the highest common factor of m and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 12) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25818205 is divided by 397203?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 21*h**2 - 70*h - 265. Give j(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6*j + 2*j = -19, j = l - 4. Let r be l\/49 + 16838\/77. Let m = 219 - r. Which is the third smallest value? (a) m (b) 13 (c) 1\/2 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-231))\/(-4*(-80)\/384)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/9 + 94\/171. Suppose 15*d + 5 = 10*d. Which is the second smallest value? (a) n (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -11\/3 (c) 0.01 (d) -3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-224 + 102*f + 224)*(6*f - f - 3*f).\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 (base 16) in base 11?\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - 0.08. Let p = -5076.5 + 5077. Which is the third smallest value? (a) -3 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and -9\/355 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 711233\/3597 - 1606\/327. Let t = 193 - l. What is the second biggest value in -0.4, t, 0.01, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 7\/(-1))\/2 + (-232)\/(-28). Which is the second smallest value? (a) 0 (b) l (c) -5\/19 (d) -0.6 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -1\/7 (c) -0.3 (d) 0.0365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08032 and -0.4.\nAnswer: -0.032128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c - 34*c**3 + 15514*c**2 - 15515*c**2 - 2 + 15*c**3 + 4*c**4 to m*c**3 + f*c + y*c**4 + d*c**2 + b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.595 + 3.295. Put -1, -2\/535, z, -1\/4, 4 in decreasing order.\nAnswer: 4, -2\/535, -1\/4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -129. Let g be (-1 - -4) + (0 - -37). Suppose -3*u + 8*u - g = 0. What is the highest common divisor of h and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 118.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 28 = 4*h, 0*h + 4*r = -3*h + 23. Suppose h*t - 619 = -f - f, 605 = 5*t - 5*f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*w**4 - 60*w**3 - 8814*w?\nAnswer: -168*w**2 - 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 12, 0 = -2*o - 0*o - v + 5. Let s(a) be the second derivative of -13*a**3\/3 - a. What is the least common multiple of s(-1) and o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188246308.99537 + 188245354. Let r = 955 + d. Round r to 4 decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -137, -354, -709, -1232, -1953, -2902?\nAnswer: -4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvvgiiviinvv. Give prob of picking 1 z and 1 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76663421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-7 + 4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2348395903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5*r + 0*r + 41 = 0, 0 = -2*l - 5*r + 33 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s**2 + s - s + 4*s**5 - 23*s**2 wrt s?\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 + 229. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxibiilfiiww. What is prob of sequence bwl?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25\/2 - -77\/6. Suppose 0 = i + 4*q + 2, 2*q + 0 + 2 = -i. Let u = -65 - -65.3. What is the closest to b in 3\/2, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -41*j - 328. Give x(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*b + 25*b - 42*b - 3*b - 58*b to m + l*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 152*m + 280*m + 277*m)*(4*m - 3*m + 0*m)*(0 - 3 + 0).\nAnswer: -2127*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*d = -323*d - 9828. Solve -d = 5*n - 566 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174316475?\nAnswer: 5, 6972659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let m be l(7). Let o = 11 - m. Suppose y + 193 = o*d, 5*d = -4*y - 34 + 270. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 79 = -77*q - 26*q. Sort q, -1, 10, -2 in descending order.\nAnswer: 10, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821764?\nAnswer: 2, 3, 11, 21377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1245148 and 2074?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(833)*5.\nAnswer: -35*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -600040029 rounded to the nearest 100000?\nAnswer: -600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - b + 10. Let j be 14\/2 + -11 + 10. Suppose -2*q + 2 = c, 2*c = -c + j. Let i be x(q). What is the highest common divisor of 30 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/(-13)*(3471\/3)\/89.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108, -155, -176, -159, -92, 37?\n\"Answer: 2*m**3 + m**2 - 64*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y - 245. Determine p(-8).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -124597, 17, 5, -3 in ascending order.\nAnswer: -124597, -3, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 3*o + 3*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 3, g: 2, u: 3, z: 5}. What is prob of picking 1 u, 1 z, and 2 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -15) + (-33 - (-29 - 3)) + -10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34321332863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 56. What is the second smallest value in q, 0, -0.1, -0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5005055817 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 - -69. Let h = w + 180. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -839, -832, -811, -770, -703, -604, -467, -286?\n\"Answer: y**3 + y**2 - 3*y - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1368\/14 + 4 + (-130)\/35. Let p = o - 91. Is 1\/7 - (-3394)\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6591 - -29024. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*(5 - (2 - -1)). Let m be (-2*(1 + 12))\/(-1). Let d = g + m. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/95, 6, -3.3?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1362 = -2172. Let y be (o\/(-594))\/(3\/(-4)). Which is the nearest to 1? (a) -1\/5 (b) 0 (c) y (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/322 - (-47)\/276. Which is the smallest value? (a) -1 (b) 8 (c) u (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723 is divided by 244?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2378119 - -2378347.9778. Let m = p + -229. Round m to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklfekfkeeleekllkef. What is prob of picking 2 e?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -708 times -0.66264\nAnswer: 469.14912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 25*u**2 + 64 + 24*u**2 - 12*u**2 - 64. Let j(m) = 18*m**2 - 3. Determine j(i(b)).\nAnswer: 24642*b**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.745g to nanograms.\nAnswer: 341745000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + 5. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007102159 to five decimal places.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*z - 2*m, 2*z + 2*m + 3*m + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525640 = -419*w + 504*w. Does 137 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwzu when four letters picked without replacement from zwwzzuwzzwwzwwwww.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.1 + 1255.1. Let p = 1358.6 - w. Let d = -149 + p. Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1973.\nAnswer: 7892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-14)\/2)\/(1368\/456)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -3\/126443587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41050667869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -112146, -2?\nAnswer: -112146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 7*l**2 + 5*l - 4. Let s be y(-6). Suppose -s = 3*h - 35. Calculate the lowest common multiple of 9 and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*b - 5*v, 12*b + 242 = 10*b + 5*v + 277 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 5 - 77 - 20 - 344*g + g.\nAnswer: -343*g - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = d + 5*g, 4*d - g - 7 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 2. Let h(t) = -269*t + 12. What is -h(g) - 6*m(g)?\nAnswer: 263*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 17 = -2*a, 9 = l - 2*a + 3*a. Let x = 166 - 166. Let i be (1 - -2)*1\/(-1). Sort x, i, l in descending order.\nAnswer: l, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 2. Suppose 0*a + 4 = a. Let p be f(a). Solve -6 = -h - p*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -120, -0.177, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 630.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 1. Let p(v) = 132*v - 140. Let c(w) = 19*w - 20. Let j(l) = -20*c(l) + 3*p(l). Let y(m) = -20*i(m) - j(m). Let s(r) = 3*r. What is y(s(x))?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -2\/13 (c) -1.6 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7563*l - 13*l**3 + 4*l**3 - 2020*l - 1.\nAnswer: -9*l**3 - 9583*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**5 - 1\/120*b**6 + 0*b + 0 + 0*b**4 + 7\/6*b**3 + 2*b**2. What is the first derivative of f(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 13*s**2 + s - 14. Let h be g(13). Let k = 4 - h. Let m(q) = q**2 - 3*q + 7. Let y be m(k). Solve 4*n + a + 4 = -y, 0 = -3*n + 4*a + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221.41 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -600 and 0.431167 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 - 40*b**4 + 9*b**4 + 28 - b + b**4 + b + 1 + 2*b**4 - 1 - 2*b**4 - 3*b**4 + 4*b**4 + (3*b**3 - 3*b**3 - 2*b**4)*(-2 + 1 + 3).\nAnswer: -33*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s + 24. Let c(a) = -a**3 - a**2 + a + 1. Let j(t) = -4*t**3 - 3*t**2 + 4*t + 3. Let v(r) = s*c(r) - 2*j(r). What is w in v(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/(-1))\/(340\/((-850)\/(-10)))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in -2, 5, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-2)\/16)\/(21\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11262*f - 146399. Calculate c(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let p(a) = 7*a**2 - 4*a - 8. Let m(h) = -20*h**2 + 11*h + 22. Let t(w) = 4*m(w) + 11*p(w). Calculate t(d(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -2) + -10 + 12. Let i be (-6)\/v + (-1359)\/18. Let s = -41 - i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y. Let n(p) = 3*p**2. What is o(n(t))?\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2652 (b) 3.9 (c) -1982\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 4. Let s be u(-4). Let h = 5 - 9. Is h\/(s\/9) + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -6*y**2 + 10504*y + 3502 = 0.\nAnswer: -1\/3, 1751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -36. Suppose -t + 3 = -2*g + 6, 5 = 4*g - c*t. Solve 3*o - 5 = 2*b, -4*o + 5 = g*b + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 3:32 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.195 + -4.195. Which is the second biggest value? (a) 30 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 143 = 4*m, 12*i - 84 = -2*m + 14*i. What is the highest common factor of 296 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2032 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)*b*b**5*b)\/((b\/b**(-23))\/(b**(-5)*b)))**(-32) assuming b is positive.\nAnswer: b**664","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -3*a**3\/2 + 219*a**2\/2 - 3*a + 823. Calculate h(26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 114? (a) -1\/3 (b) -2\/3 (c) 2718\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2288, -2279, -2256, -2213, -2144?\n\"Answer: p**3 + p**2 - p - 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 0 + 4 - -2. Suppose -47*a + 15*a - 4*a = -1008. Sort b, -4, a.\nAnswer: -4, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 1, u: 4, f: 1, y: 3, t: 1}. Give prob of sequence fyky.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofffnoo. Give prob of sequence of.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 490451078293.9980051 + -490451155046. Let p = x + 76809.002. Let t = 57 - p. What is t rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22575 and 11116833?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/7)\/(-60)*6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63777764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6\/216 + 2*b**5\/3 + 40*b**4 + 3*b**3 - 148. Let n(k) be the third derivative of o(k). Determine l so that n(l) = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*y = -735, 0 = 3*f + 3*y - y - 438. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -273*c + 247*c + 294, 0 = 2*c + v - 20 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-61 - 12)\/(18\/(-2934))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4505105527 rounded to three dps?\nAnswer: 1.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111327 is divided by 1110893?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.212 times -1?\nAnswer: -1.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 2354 + 5176. Let x = -842 - j. Is x a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*i + 5 + 3 - 9)*(3 + 1 - 3).\nAnswer: -25*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*t - 4*l + 7, -4*t - 3*l = -12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 6 - 1. Let g be 0\/(1 + -1 - r). Let s(k) = k**2 + 3*k + 4. Let x be s(-3). Solve g = -b, -2*y = -b - x*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/120 - l**4\/3 + l**3\/6 - 2*l**2. Let z(b) be the first derivative of j(b). Let s be z(-7). Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**4\/24 + a**2. Let d(v) = 29*v + 8915. Let s(x) = 72*x + 21396. Let l(m) = 12*d(m) - 5*s(m). Calculate t(l(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36554?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.9 less than 4.347?\nAnswer: 60.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-152)\/(-18) - (-8)\/(-18). Suppose q*n - 13*n = -10. Differentiate -5 + 21*m**n - m**2 - 15 - 1 wrt m.\nAnswer: 40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/(1\/(-69))*(-136)\/680?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/9 - 8494*m\/3 + 8496 = 0.\nAnswer: -12744, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 105065236 + -3?\nAnswer: 105065233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**3\/6 - t**2 + 10*t. Let d be h(-2). Suppose d = 4*j - 11 - 13. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.424003 litres in millilitres?\nAnswer: 4424.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6666057 and 12591441.\nAnswer: 113322969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 6*w**3 - 3*w**3 + (-5*w + 3*w + w)*(0 + 0 - w**2) + w**3 - 2*w**3 + 3*w**3)*(-w + w + 2*w).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 2\/47, -34, -3\/5, 1\/2?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-490)\/28 - -14)*(-8)\/(-14). What is the fourth smallest value in -1\/4, l, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 57. List the prime factors of (-6 - (-1 - l))*40\/(-12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, t: 7, z: 8}. Give prob of picking 1 z and 2 h.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29518.99 rounded to the nearest 100?\nAnswer: 29500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ttewgtwt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(6\/(-2)) + -3. Which is the third biggest value? (a) 5 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/4 - 3*w. Let k(u) = -u - 3 + 3. Give k(n(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 11*v**2 + 4*v - 38. Suppose -3*n - 4*o = -43, 0 = -4*n - o + 3*o + 50. What is the remainder when q(-10) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 7*w - 11. Let f(k) = 3*k**2 + 6*k - 10. Let n(j) = -3*f(j) + 2*p(j). Give n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673327589.\nAnswer: 3, 7, 24726601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -256521?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93294 and 40896?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 1516*h - 79687. Calculate u(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {d: 3, i: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -18\/5, -48, -5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385 - -383. Let p = -90 - -89.7. Let c be (2 - 0)*(-15)\/90. What is the biggest value in x, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 86.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c + 12. Let l(q) = 6785*q - 36. Determine 3*i(t) + l(t).\nAnswer: 6806*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132303231202 (base 4) to base 2.\nAnswer: -11110110011101101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 14*p**2 - 1200*p - 5400 = 0. Calculate p.\nAnswer: -18, -5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 305*r + 312*r - 628*r + 231 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84\/462 - 136128\/(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let c(l) be the first derivative of 2*l**2 - 14*l - 49. What is c(j(b))?\nAnswer: -4*b - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1090804082 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954365 is divided by 702.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*x - 6 = -x, -5*w + x = -25. Let s be 24\/7 - w - 3\/(-7). Let c = -166.94 + 167. What is the biggest value in 2\/5, c, s, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/7)\/x)\/x)\/x**(-19\/5)*(x*x**(-4\/5))\/((x*x\/((x*x**(-1\/13))\/x))\/x) assuming x is positive.\nAnswer: x**(71\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -4 - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*m - 20*m + 10*m**2)*(-2*m - m + 2*m)*(-24*m + 22*m - 29*m).\nAnswer: 310*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -495409 (base 11) to base 6\nAnswer: -24441321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1614?\nAnswer: 4842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = 17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.267*0.8954.\nAnswer: -0.2390718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154 + 218. Suppose 17 = 4*u - 3*n, u - 2*n - 11 + 3 = 0. Let g(x) = 9*x - 2. Let d be g(u). What is the highest common divisor of z and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = 13. Suppose -i - 483 = -4*b. Suppose 5*y - 600 = b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let t(o) be the third derivative of -o**5\/20 - o**2. Determine c(t(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (76 - (-1636656)\/(-21580)) + 2\/(-13)\nAnswer: 2\/415","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13368*0.04.\nAnswer: -0.0053472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5)*n**(6\/7)\/n*n*n)**(-50))**(2\/91) assuming n is positive.\nAnswer: n**(-2280\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:00 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01934 * -4.\nAnswer: 0.07736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 12 - 22, 5*j = w - 928. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-6)\/10)*1. Let y = -13 - -28. Calculate the greatest common factor of y and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/1441 and 50\/917.\nAnswer: 10087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 4:51 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -121336, -242662, -363988?\n\"Answer: -121326*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = 0, 28*h + 2 = -2*w + 26*h. Suppose -4*u = t - 8, 3*u - 4*u - 9 = 3*t. List the prime factors of 86 + t - w - 4.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, 2, 0.015?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.47*-227.61.\nAnswer: -106.9767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 1)*(o + 3 - 3) + 3*o + 3*o - 3*o - 37 + 37 - 14*o)*(0*o**3 - o**3 + 0*o**3) to d*o**4 + i + c*o + b*o**3 + p*o**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*j - 79. Let w = j + -16. Calculate the highest common divisor of 39 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 621 - 368. Let v = -226 + k. Calculate the remainder when 45 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*b + 108*b + 2510 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-154)\/2) + (-29)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:53 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-168)\/(-1498)) - 5\/(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1770 = 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {d: 16, k: 4}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 205.4. Let i = -16.4 + y. What is the second biggest value in 0, 2\/5, -6\/13, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-23))\/(u**(2\/9)*u))**(-1\/6) assuming u is positive.\nAnswer: u**(-205\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 7501176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54993490 is divided by 102?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 2. Let y(b) = -5*b + 82. What is 4*m(h) + y(h)?\nAnswer: -h + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -442, -669, -900, -1135?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -68, -137, -230, -347, -488, -653?\n\"Answer: -12*p**2 - 9*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 24. What is the third biggest value in -0.4, p, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-256)\/(-56) + 24\/(-42). Find the second derivative of -13*h**2 - 1 + 149*h**c + 1 + 13*h**2 + 167*h wrt h.\nAnswer: 1788*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -4, -2 in decreasing order.\nAnswer: -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(2\/7)*r)\/r)**(-27)*(r*r**(-2\/5)*r*r*r)**(7\/6)*(r\/((r*r**(-2\/3)*r)\/r)*r*r*r*r*r**(-1\/9))**(-24\/11) assuming r is positive.\nAnswer: r**(-46724\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 50 = 5*z, -z + 2*c = 6 - 14. Let l(r) = -r**3 + 12*r**2 - 12*r + 1. What is the remainder when l(10) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165 >= 0.205392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63088076 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/36)\/(-1))\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -6*t + 2. Suppose t*g - 58 = 192. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8 + u**2 - 3*u + 3 + 4*u**2. Suppose 0 = 2*w - 0*w + 4, -4*v - 5*w + 2 = 0. Let l(d) = -9*d**2 + 5*d + 9. Calculate v*l(b) + 5*x(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -37, -24, 27, 128, 291?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 14*w - 40. Let z be y(-19). Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 85*k**2.\nAnswer: 85*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 660535324.7 rounded to the nearest 100000?\nAnswer: 660500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3899*2\nAnswer: 0.7798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -134, -160, -166, -146?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -51*l + 206. Let x be s(6). Are x and -98 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 31. Is n >= -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1567.86953 + 1567.7. Let l = f - -0.17. Round l to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*q**2 + 80*q**2 + 29*q**2 - 4*q**2 - 20*q**2 in the form v*q + y*q**2 + u and give y.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -5*w**7\/42 + w**6\/3 - w**5\/4 + 18*w. Factor i(z).\nAnswer: -5*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678 less than -0.65?\nAnswer: 1677.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/60*(-6)\/4. Let h = -14 + 14.05. What is the nearest to 0 in m, h, 6\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25598 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/17 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3088 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t = -5049991 + 17737105. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 574240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = g + 3*c, -7*c = -12*g - 3*c + 36. Suppose 0*u = -2*u + 5*p + 26, 20 = 4*u - 2*p. Solve 0 = 3*o + 3*i + 27, -2*o = -g*o - u*i - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1013020*x + 2*x**2 - 3*x**2 + 15 - 1012904*x + (3*x**2 - 5*x**2 + 3*x**2)*(-7 + 2 + 3) + 2*x - 2*x**2 - 2*x.\nAnswer: -5*x**2 + 116*x + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/170 and -101\/9214?\nAnswer: 46070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddedapeddeadedaeaad. Give prob of sequence dap.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78269230 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, and 1 a when three letters picked without replacement from {b: 1, p: 2, a: 1, f: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 0. Let k be ((-126)\/35)\/((-3)\/(-10)). Let i be k\/(-102)*(-6)\/4. Does i = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2\/4 + 107835*w\/4 - 1398475 = 0. What is w?\nAnswer: 52, 21515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 4*j**2 - 3*j - 7. Let n(w) = w + 1. Let t be n(5). Is z(t) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:30 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92246*g**2 + 6*g - 159?\nAnswer: -184492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 + (-1040)\/(-1440).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 7 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2140*m - 778*m + 1441*m + 283103 for m.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/15 (c) -1\/7128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123401069515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 7. Let s be m(4). Let p = 2 - s. Is ((-35)\/(-10))\/(p\/(-94)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Suppose 3*v - 4 = 2*v. Suppose 0 = -j - 3*x - 11, -2*x + 6 = -0*j + v*j. Solve -j = -3*b - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 226. Sort 0.05, -2, x in decreasing order.\nAnswer: x, 0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 321.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y**3 + 8*y**2 - 17*y**2 + 8*y**2 - 20*y**3.\nAnswer: -69*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/15 - 13064090*x**2\/3 + 195961336*x\/15 - 130640888\/15 = 0.\nAnswer: 1, 2, 32660222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-33)\/(-308) - 2\/((-8)\/162)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(13 - 1 + f - 6) in the form w*f + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 258107051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6491391?\nAnswer: 3, 37, 58481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3744.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -44, -68?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 429671\/3? (a) 1 (b) 29 (c) -3\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9924 + 9924 + 9196*r - 3064*r - 3064*r - 3057*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmx when three letters picked without replacement from xmxmmxxxxmxxxmxxxx?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1806 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 39. Suppose -s = -z*s + 870. Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -23. List the prime factors of (-2 + 8\/f)*-50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.14578259 to three decimal places.\nAnswer: -27.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 6*a**2 + 4*a - 3. Let f be z(-5). Suppose 4*v - f*v - 4 = 0. Suppose -v*j + 4 = -14. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2 + 12*v - 4*v**3 + 8 + 5 - 7 = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (4 + -7))*1\/(-45). Sort w, -5\/3, -0.1 in ascending order.\nAnswer: -5\/3, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-1)*n)*n*n\/(n\/n**(-9)))\/(n**(-1\/5))**21)**(-26) assuming n is positive.\nAnswer: n**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 170.5 * -34778\nAnswer: -5929649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + 3497\/(-130))\/(52\/208).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 21. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - y + 1 - 4*y + 1 + 3*y as h*y + a*y**4 + o*y**3 + c*y**2 + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 42. Let o = -16 + z. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - r**2 + 1. Let n(m) = -3*m**4 - 6*m**3 - 3*m**2 + 12*m + 3. Suppose 3*h = 9*h + 6. Let c(o) = h*n(o) + 3*i(o). Factor c(k).\nAnswer: 3*k*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.271 + 50.899. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + k + 104 - 4*k**2 - 104.\nAnswer: -15*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + 5 + (sqrt(117) + 0)**2 - (3 + -1 + sqrt(117) + -3)) + 5.\nAnswer: -3*sqrt(13) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.038026ml?\nAnswer: 0.006038026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*v + 3, -v + 0 = 5*z + 9. Let n = 5 + -9. Let p = -0.2 + -0.3. Sort n, p, z.\nAnswer: n, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15147 - 6?\nAnswer: 15141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27190, -108669, -244460, -434557, -678954, -977645, -1330624?\n\"Answer: d**3 - 27162*d**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r + 5. Let w(b) = 2*b - 10. Let a(u) = -40*j(u) - 4*w(u). Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -360.6 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2734 - 2646 = -8*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 186. Let w = -57 + t. Let c be -4 + 0 + 152\/w. Put c, 1, -4 in descending order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 40*h - 80. Let i(w) = 55*w**2 + 440*w + 880. Let a(p) = 65*d(p) + 6*i(p). Factor a(r).\nAnswer: 5*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5034*o + 1923 - 1923 + 5049*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 319315727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14753601*v**2 + 12*v + 14762684*v**2 + 24 + 19*v wrt v?\nAnswer: 18166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 186. Let o = -96 + s. Which is the fourth smallest value? (a) -9 (b) o (c) -3\/2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -615, -648, -681?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 432853 and 1918019926.\nAnswer: 1918452779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**9\/o)\/o))**(-7\/8)*o**(2\/41)\/(o*o**11) assuming o is positive.\nAnswer: o**(-1099\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/24)\/((-2)\/12). Let a = k + 7. Solve 7 = 2*x - a*i, 4*x + 3*i + 16 = -15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25179 divided by -109.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 18. Let p be t(-6). Is (-7206)\/(-4) - (-3)\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-30)*-1*-10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2 + 7*z - 8. Let o be f(6). Let h = -27 - o. What is the tens digit of (h\/(-1))\/((-7)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*x + 96*x + 5*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5310201 (base 12) to base 5.\nAnswer: 13004304231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38723*d**2*l**2 + 2*d**2*l + 2020*d*l - 4 wrt l.\nAnswer: -77446*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a century in months?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1\/14 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5\/2 + 255*r**4\/2 - 3189*r**3\/2 - 93747*r**2\/2 - 228900*r - 183750 = 0. What is r?\nAnswer: -7, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i - 1. Let j(h) = -7*h**3 + 77*h**2 - 77*h - 77. What is -2*j(a) + 154*v(a)?\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 163089, 18?\nAnswer: 163089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 130*b - 131*b + 43 = 0, -b + 100 = 5*w. Solve 64 = -9*f + w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 2*t + 2. Let u(c) = 2*c**3 - 12*c**2 + 1106*c + 12. What is -6*k(s) + u(s)?\nAnswer: 2*s**3 + 1094*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 5 (c) -22\/9 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1919 is divided by (-90)\/14*735\/(-315)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 - 2*j**2 - 3*j + 3. Let r(b) = 3*b**3 - b**2 - 2*b + 2. Let z(o) = 4*i(o) - 5*r(o). What is the tens digit of z(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 + 10962*y**2 - 10953*y - 21918 = 0. What is y?\nAnswer: -1, 2, 3653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Divide -2541672 by -6888.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80865*s**3 + 40479*s**3 + 40378*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, f: 2, j: 10, s: 3, d: 2}. What is prob of picking 1 j and 1 n?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z - 5. Let u = 7189 + -7185. Let w(s) = 9*s + 4. Give u*w(m) + 3*k(m).\nAnswer: 12*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3874, -3889, -3930, -4009, -4138, -4329?\n\"Answer: -2*z**3 - z**2 + 2*z - 3873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 14*x = -g + 25, -5*g + 5*x + 35 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/15)\/(-4)*((-33)\/(-6) - 16).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -7391.\nAnswer: -36955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 108024947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*p - 13. Suppose 0 = 5*f - 3*a + 9, -16 + p = -3*a. Let u be ((-3)\/3*f)\/1. Put u, -7, 1 in increasing order.\nAnswer: -7, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = 0, -2*i - 5*h = -8 - 2. Suppose i*n = -3*n - 84. Let f = n - -30. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -6\/5*j**5 + 2*j + 0*j**4 + 0*j**3 - 61 - 2*j**2. What is the first derivative of y(l) wrt l?\nAnswer: -24*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d + 136. Let m be l(28). What is the highest common factor of 45 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861606.\nAnswer: 2, 3, 151, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 2, y: 2, w: 1, o: 6}. What is prob of sequence ooy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1053138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 smaller than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3294 divided by -6\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3653, 7632, 11933, 16556, 21501?\n\"Answer: 161*b**2 + 3496*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k, 3*k = d + 2*d - 30. Suppose 4*y = 5*s + 2 + d, 0 = -3*s + 12. What is the smallest common multiple of 5 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7544*h**3*u**2 - 171*h**3*u + 6*u**2 - 113*u - 1 wrt u.\nAnswer: 15088*h**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - 0.01. Let t = 5.1 + z. What is the closest to 4 in t, 3\/7, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-21)*(18375\/(-50))\/49?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 + -8?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 1912 + 8840. What is the highest common divisor of 560 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 108465.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/2)\/((-124)\/(-62))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23110*h**2 - 3*h + 1. Let l be k(-3). Round l to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.29241\nAnswer: 0.146205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**4\/6 + 2*f**3 + f**2 + 267*f. Determine b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**4*r - 342119*l**2*r + 39662*r + 5 with respect to l.\nAnswer: -4*l**3*r - 684238*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(832) + 0 + sqrt(832) + 4)*-5.\nAnswer: 60 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f + 15. Suppose 3*s = 0, y - 36 = -3*y - f*s. Let b be -3*(-1 + (-3)\/y). Solve 3 = -b*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1023 or -1096?\nAnswer: -1096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -69. Factor u - 6*r**2 - r**2 + 20*r + 12*r**2 - 1.\nAnswer: 5*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 2*i - 17 + 3*i.\nAnswer: 5*i - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*o**4 + 3*o**2 + 4*o + 35?\nAnswer: -396*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 + 1\/((-3)\/6) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/4 + 11*p**3\/3 - 5*p**2 - 4*p - 10. Let f = 22 - 0. Calculate the remainder when c(8) is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232322 divided by 33306?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*s - a, -a - 7 = -3*s - 1. Let f = 7 - s. Suppose -21 + 61 = f*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86469540 smaller than -86469545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53\/6 + 9. Let g be (-3)\/(-5) + 3\/15. Let i = 0.506 - 0.006. Sort f, i, g.\nAnswer: f, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/321 and 18\/7?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(-21))\/((-2)\/42). Let v be 5 - 1 - (-5 + f). Suppose 2*h - 15 = -3*h. Solve g - h = -u, 2*g - v*u = -g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 - 0.37. Put q, 0, -4 in ascending order.\nAnswer: -4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37425, 74883, 112353, 149841, 187353, 224895, 262473?\nAnswer: 300093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 317 + -308. Calculate the lowest common multiple of 101 and s.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 + 0 - (-138)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000378141508 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thl when three letters picked without replacement from htllh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*m + 203. Suppose 4 = -3*s + 5*s. Solve -s*f - 3*f - 4*u = -40, -3*f + m = 5*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013709088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-1 + 1 + 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -8) + 0 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 4. Let r be a(7). Let d = 23 + r. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 355\/2. Find q, given that -3\/2 - 15\/4*q + 15\/4*q**3 + t*q**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((4 - 6) + (-326)\/3). Let z = i + -237. Calculate the greatest common factor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 0 = -18. Let y be -11598 + (v + 0 - -1). Round y to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613 = 67*x + 747 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 160926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 76 + 186 - 150*w**3 + 46*w**3.\nAnswer: -104*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*u + 408*u - 2825*u - 3914*u + 589*u to y + f*u and give f.\nAnswer: -5687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38072.\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4999.548ml to litres.\nAnswer: 4.999548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -48, -83, -132?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.054 and -38.\nAnswer: -2.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49225760?\nAnswer: 2, 5, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -924 - -927. Which is the closest to 0? (a) 0.5 (b) z (c) -0.9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -10, -24, -44?\n\"Answer: -3*p**2 + p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176858 is divided by 11789?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2161*c**3*l**3 + 9*c**3 - 8030*c**2*l**3 - c*l**3 wrt c.\nAnswer: 12966*l**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-162)*-39 + -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = -3*n, 3*x = 3*n - 24 - 3. Calculate the remainder when 10 is divided by ((-4)\/2)\/((-4)\/n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 + 155 - 2038)*(-d**3 + 21 - 4*d**3 - 21)*(d - 4*d + d).\nAnswer: -20250*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9 - -7)*3 + 0)\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.12 + -0.12. Let g = n - 5. What is the second biggest value in -1\/3, g, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = 36. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 44*x**2 + 5*x - 246. Calculate q(22).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 727770 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 9) to base 15.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5915833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -170. Let w = -68.7 + h. Round w to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29803\/60 + -2504\/5. Find the common denominator of n and -7\/1334.\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -26*f**2 + 21*f**2 + 318*f - 319*f. What is g(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -16*f**3 - 13*f**2 + 17*f - 19. Determine q(3).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -708111134.9 rounded to the nearest 1000000?\nAnswer: -708000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.99332l in millilitres?\nAnswer: 6993.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663201 divided by -208.\nAnswer: -663201\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.165 - 19.835. What is the third biggest value in -5, f, -1\/2, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = -4*g. Is (1\/3)\/(g\/(-24)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 111. Let t(o) = o**3 + 18*o**2 - 19*o. Let p be t(-19). What is the units digit of (2 + -1 + p)\/(z\/(-138))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1038 divided by -978.\nAnswer: 173\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g - 79. Calculate the smallest common multiple of n(-12) and 19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 3*q. Let h be 4 + -7 - (-4 + -1). Let g be d(h). Solve g*w = 5*v + 2, -v + 5 = -w + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 - 18*v**2 + 60*v - 143. Let q be k(20). Calculate the greatest common divisor of 306 and q.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2) - (-12 - 1173\/(-153))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -192, -385, -580, -777?\n\"Answer: -n**2 - 190*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((1 - (1 - -2)) + 0). Suppose -v - 6 = 4*v + g*u, 9 = -2*v - 3*u. Suppose 0 = -n - 1, -16 = -4*b + 4*n - v*n. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*h + 1965 = -11363 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from lobboblbpbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -0.315096.\nAnswer: 0.184904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/75 - 111268\/(-15). Let k be -1 + (-1)\/1 - c. What is k rounded to the nearest one hundred?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*(-8)\/1470*-3. Do p and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -l + 5*j - 24, 0 = -5*l + 2*j - 80. Suppose 2*n - 5 = 3. Suppose n*m = 16 - 72. Is l < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 9*l + 31. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*a - 32*a + 44*a + 2*a - 7*a + 3*a + (2*a + 2*a - 2*a)*(2 - 3 - 5) + 2*a - 2*a - 4*a + 2*a - 1 + 1.\nAnswer: 53*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400)*-2)\/sqrt(7).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -382*c - 5358. Give h(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7580)\/13265)\/(1*(-2)\/70).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 2*q + 142, 5*s - 3*s = -5*q - 318 + 161 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79, -156, -231, -304, -375, -444?\n\"Answer: x**2 - 80*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -0, 3*j + z = 4. Suppose j*p - 5*p + 4920 = 0. Round p to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1691 - -1692. Which is greater: z or -3\/218?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 1.703\nAnswer: 2.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 1. Let r(o) = 2*o - 1. Let g(y) = -4*r(y) + 3*v(y). What are the prime factors of g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3, 1\/7, -0.1438, -6.\nAnswer: -6, -0.3, -0.2, -0.1438, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 274.6, 1, -0.17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - -23 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44117881*b - 44117881*b - 3*b**3 + 5*b**3 + 0*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6604\/(-2)*(-111)\/222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = -16. Calculate the least common multiple of 11 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h**2 - h + 3. Let z(p) = -31*p**2 - 4*p + 10. Give 7*o(x) - 2*z(x).\nAnswer: -8*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*r - 18. Suppose 0 = 35*i - 34*i - r. Suppose i*q + 4*w + 3 = -0*w, 3*q - 5*w + 3 = 0. Which is smaller: -2\/99 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12771 and 94\/63855.\nAnswer: 63855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 624 = 5*m. Calculate the common denominator of (-7)\/(-40)*4\/m*6 and -51\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8245 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.4.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -340 and -342 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 18 + 0 = 0. Let n(d) = d**3 + 7*d**2 + 6*d - 5. What is n(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.700584 rounded to 1 decimal place?\nAnswer: 271.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:08 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + (0 - 23) - (-640 - -635).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6337*f**2 + 5*f**3 - 4*f**3 - 3*f**3 - 12685*f**2 + 6342*f**2.\nAnswer: -2*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 2. Let h(m) = 11*m**2 - m + 1. Let y be h(1). Let a = 8 - y. Let t(k) = -2*k + 1. Give a*p(i) + 4*t(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h**2 + 2*h - 2*h)*(-3*h - 2*h + 6*h) + (h - 2*h + 2*h)*(0*h**2 - 4*h**2 + h**2) to the form c*h**2 + r*h + v*h**3 + n and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.9, 3, -1146, -1\/2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24256.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4927 + 11365 + 2720 + 8536 + 8565)*(-2*t**4 + 2*t**4 + t**4) to the form f*t**4 + l*t**3 + q*t**2 + o + v*t and give f.\nAnswer: 26259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48828753481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 + 2*c**2 + c. Let a be i(-1). Solve -3*s - 1 = a*b - 16, -15 = -3*s + 3*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*(-2 - 50\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 567, 1680, 3851, 7434, 12783?\nAnswer: 20252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7212283*h**3*z**2 + h**3*z - 19389*h**3 + h**2*z - h*z - 2*z wrt z?\nAnswer: 14424566*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37967.\nAnswer: 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*u = -4, 1305 = -5*g + 5*u + 1315 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 6. Let a be s(-4). Let y(r) = a*r - 2*r - 77*r**2 + 54*r**2. Let h(q) = q**2. Give h(y(g)).\nAnswer: 529*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-13)*60\/(-150) + 69\/195. Let j be -6*((-84)\/27 + 3). Let v = -6 + 10. Sort r, j, v in decreasing order.\nAnswer: v, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**5 - 25994*d**3 + 16*d**2 + 2*d + 80184 wrt d.\nAnswer: -180*d**2 - 155964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 433070.\nAnswer: 1299210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 - 5463*f - 3588780.\nAnswer: -3*(f + 860)*(f + 2782)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4.7+-1023631\nAnswer: -1023626.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 402, 2858, 7276, 13656, 21998?\n\"Answer: 981*q**2 - 487*q - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 55*y - 400. Let x(f) = -5*f**2 + 55*f + 400. Let c(n) = 4*g(n) + 5*x(n). Factor c(h).\nAnswer: -5*(h - 16)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*c - 438. Let u be (-14)\/(-63) - c\/(-36). Which is bigger: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 2*y**2 + 1. Let x be b(-1). Calculate the common denominator of 70\/3 and (11\/(-165))\/(x\/(-655)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/800 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 510 = -4*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 37 = 5*k - 100, 0 = k - 1. Suppose -2*x - d + a = 0, -d = 2*x - 4*d - 33. Solve -x = -0*b - 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**3 - 2*g**2 - 2*g. Let h be i(2). Suppose -x + h = x. Let z = x + -8. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43 (b) -1\/6 (c) -0.3 (d) -0.1 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29677 and 52097.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1464, 1494, 1566, 1698, 1908, 2214, 2634?\n\"Answer: 3*s**3 + 3*s**2 + 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 - 7400c?\nAnswer: -74041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 260. Suppose f = -q + 236. Calculate the common denominator of -17\/8 and ((-5)\/10)\/(8\/q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3562596 - -2856.\nAnswer: -3559740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + d - d**3 - 116*d**2 + 106*d**2.\nAnswer: -d**3 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073535297 to 6 dps.\nAnswer: -0.000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(150))\/sqrt(10))\/(sqrt(30)\/sqrt(90) - (1*sqrt(33))\/sqrt(11)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b + 7. Let s(d) = 3*d**3 + d**2 + 4*d - 17. Give -s(g) - 3*z(g).\nAnswer: -3*g**3 - 4*g**2 - g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7729 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7548)\/(-442) + (-34)\/2.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 96*s + 574.\nAnswer: 2*(s + 7)*(s + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/147 (b) 19 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -3*z - 67, 3*p + 4*z = -14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.954 - -7.254. Which is the third biggest value? (a) 9 (b) 0.1 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-12)*(-6)\/(-4). Suppose 4*q = -20, -3*u + 4*q + 57 = -p*u. Suppose u = 5*w + 12. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 58*z. Let h(v) = v**2 + 4*v - 5. Let o(p) = -4*p**2 - 24*p + 30. Let b(f) = -6*h(f) - o(f). Determine b(a(r)).\nAnswer: -6728*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490604565 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 18*x + 20. Let f be q(16). Calculate the remainder when 29 is divided by 3\/(f\/(-68)) + (-6)\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -297755 by 17.\nAnswer: -17515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 28. Let x = 902 + -902.2. Let k = 6.7 - 1.7. Put x, s, k in descending order.\nAnswer: s, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -2.01. Let c = 2.1898 + -0.1976. Let q = c + b. What is q rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 != -1309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 138, 92, 28, -54?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 not equal to 3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.287 - 14.5. Let n = -1.8 + p. What is n rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4139724.\nAnswer: 2, 3, 23, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 80*k - 481. Let d be a(6). Let z = 0.184 + -0.084. Let f = 0.02 - 0.42. What is the third smallest value in f, z, -19, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 5923*j - 5914*j - 28, 38 = -22*y - 3*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 9885.\nAnswer: 69195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/711312 and -61\/704961.\nAnswer: 78955632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 - 136*p**3 - 118*p + 2 - 29*p**3 + 2 wrt p.\nAnswer: -990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3586782 and 33?\nAnswer: 39454602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2004878, -2004876, -2004874, -2004872, -2004870, -2004868?\nAnswer: -2004866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2143 + -135?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 60*s + 105\/4*s**2 - 3\/8*s**4 + 36 + 15\/8*s**3 = 0.\nAnswer: -4, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -228, 0.2, 408, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 11*t - 36. What is b(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvsssss. What is prob of sequence ssvs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171147*-0.062.\nAnswer: 10611.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-13)*d))\/d**(2\/9)*d*(d\/(d\/(d\/d**(-16\/7))*d))\/d*d*d**(10\/9))**(-1\/31) assuming d is positive.\nAnswer: d**(-1082\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24836.37 rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104265797.000328 - 104265423. Let n = c + -374. Round n to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 33 = -458. Suppose -a + h = 139. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -178 - 182. Let q be 50\/(-144) + (-20)\/f. Which is the second smallest value? (a) 0 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 18260*f**2 - 330395*f + 348650.\nAnswer: 5*(f - 3670)*(f - 1)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o - 6. Suppose 0 = 2*d + 3*i - 7, 3*d + 3*i = 4*i + 5. Let a(k) = 3 - 2 + 5*k - 16*k**d - 6*k + 17*k**2. What is 6*a(p) + m(p)?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 69 - 81 = 0. Suppose r*f + 7164 = 4*w, 5*f - 318 = -2*w + 3278. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g**(6\/11))*g**(-1\/11)\/g*(g\/(g**(2\/5)\/g))**19 assuming g is positive.\nAnswer: g**(1527\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d - 13. Let h be r(-4). Suppose -h*p + 201 = -5*g - 129, 2*p - 5*g = 220. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*a**3 - 12*a**3 - 269*a**3 + 42*a**3 + 2*a - a**2 + 15*a**3 to the form o*a**3 + m + x*a**2 + q*a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 410, 859, 1322, 1805, 2314, 2855, 3434, 4057?\n\"Answer: d**3 + d**2 + 439*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25126*y + 25105*y + 105 = 0. Let r be 0\/((-1)\/(-1) + 0). Suppose 5*g + 4*d - 22 = -r*d, 5*g - 16 = -2*d. What is the least common multiple of y and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*g + 15. Suppose -74 = -5*c + g*c. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 130 = 6*l. Suppose -8*x + 3*x = -45. What is the remainder when l is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:30 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 659 = 13. What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*1\/(5\/25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71 - (24 - (27 - 33))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*l**4 - 26*l**4 + 52*l**4 + (-5*l + 5*l - 11*l**3 + 0*l + 2*l**3 + 0*l + (5*l - 2*l - 4*l)*(-4*l**2 + 0*l**2 + 2*l**2))*(0 + l + 0).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*v + 27 = 0, 13*n - 2*v - 37 = 8*n. Solve 2*c = -n*o + 6*o, 3*c + 5*o = 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 1958*b + 1960.\nAnswer: -2*(b - 980)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let j(w) = -4*w**2 + 3*w - 4. Let n(c) = 11*c**2 - 8*c + 12. Let s(u) = 8*j(u) + 3*n(u). Let p(g) be the first derivative of s(g). Give k(p(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -6679.\nAnswer: 3339.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + z**2 - 5*z**2 - 6*z + 6*z - 4*z**2 + (-1 + 1 + 2*z)*(1 - 1 - z) - z**2 - 2*z**2 + 7*z**2 + 11*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178.3 - 162. Let w = -5162052 + 5162068.299758. Let y = u - w. What is y rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*x**4 + 2*x**3 + 316.\nAnswer: -104*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-6))\/(2\/12). Suppose 55 = 5*l + a. Let u(g) = g**3 + 5*g**2 - g + 1. Let n be u(-4). Calculate the highest common factor of n and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13156083 to three decimal places.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 6*m - 824. Let z = m + -235. Let r = 402 - z. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 442 - 227 - 257 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/(2\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -514 + -4?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*-3)\/((sqrt(88)*-2)\/sqrt(8)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 9\/33)*(-9 - -8). Let x = -17\/22 - y. Let q = 1 - 2. Put 0.1, q, x in descending order.\nAnswer: 0.1, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + -35 - -23 - -42) + -32?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + b. Let y(f) = -2*f**2 - 7*f. What is 3*u(h) - y(h)?\nAnswer: -h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325000 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 987 = -3*y. Let g = y + -60. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*o + 1 + (-o + 3*o - 4*o)*(3 - 6 + 5) - 3*o + 7*o - 3*o + 3*o + 2*o - 4*o - 3*o - 2*o + 2*o)*(o + 2 - 2) in the form h*o**2 + y + t*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {g: 5, m: 14}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3121309483 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 788256 (base 9) to base 13\nAnswer: 136a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2455924 to four dps.\nAnswer: -1.2456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3782?\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1691, 2433, 3175, 3917, 4659?\n\"Answer: 742*d + 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 92*h - 1058.\nAnswer: -2*(h - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/4)\/((-300)\/160).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21976.3 - 21976. Which is the third biggest value? (a) -0.15 (b) w (c) -2\/7 (d) 3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (64\/80)\/((2\/10)\/(-1)). Let j be (6 + -5)*(6 - (-21)\/b). Let 3\/4*c - 3\/2*c**2 - j*c**3 + 3\/2 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - 2 - 2*h**4 + 4*h**3 - 5*h**3 in the form g*h**3 + m + r*h**4 + l*h + s*h**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 - 7 = 0. Let s be -2 + -5 - m\/(-3). Is 2\/s + 5243\/63 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3332 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:18 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 1, d: 4, z: 1}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:22 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (7 - (1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 729, 5212, 17341, 40926, 79777, 137704?\n\"Answer: 635*x**3 + 13*x**2 - x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**3 + 6305 - 3160 - 16*n**2 - 3152. Let w(u) = 5*u**3 + 11*u**2 + 5. What is 5*c(z) + 7*w(z)?\nAnswer: -5*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(448*v + 29*v - 3338*v)*(-1 + 2 - 2).\nAnswer: 2861*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/105930 and 139\/3840?\nAnswer: 13559040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 92*z\/3 + 2116\/3.\nAnswer: (z + 46)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d**2 - d + 3. Let t be (2 + -2)\/(2*-1). Let c be w(t). Suppose -c*o + 48 = -i, -i + 33 = 5*o - 39. Solve -2*a = a + o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1008)*1)**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 814 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209, -208, -207, -206, -205, -204?\n\"Answer: w - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*11*204\/2618.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5) + 3 - (0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.07017 * -121.\nAnswer: -976.49057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (25 - 77) + 45 + (-80 - 1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142812 is divided by 420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63936, -63940, -63946, -63954, -63964?\nAnswer: -63976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8dc + 1?\nAnswer: 8dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from zzzmmmmmdzmzddzzndd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 10*l**2 + 15*l + 12. Let a be z(8). What is the third smallest value in -49, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 3, -5, -67, -0.15?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -5*x + y - 180, 5*y = -x + 64. Suppose 2*i + 5*g - 2*g - 2 = 0, i = g + 6. What is the highest common factor of x and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h. Let n = h - 1. Let r(m) = 5*m**3 - 1. What is r(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 6 = 2*j. Let o(z) = 77*z - 1. Let v be o(j). Suppose v = 4*f + f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 4*j + 3*j - 2*j. Let s(a) be the third derivative of 0*a + 0 - 11\/24*a**4 + 0*a**3 - a**2. Determine c(s(g)).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 8*a + 4*a + 30 = 0, -5*a = 5*v - 35. Suppose -4 = 2*w - 0*f + v*f, w + 4 = -2*f. Solve w*d + 3*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -5*z + 2*g - 152, 5*z = -5*g + 255. Suppose -42 = -4*f - t + 2*t, 0 = f - 4*t - 18. Calculate the highest common factor of f and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 411*f + 4634. What is w(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -26202?\nAnswer: -26202.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -818*x**3 - 27*x**2 - 8*x.\nAnswer: -4908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 58, 3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**6*y + 12*g**5*y - g**2 - 27*y - 2 wrt g?\nAnswer: -600*g**3*y + 720*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34123\/3 or 11374?\nAnswer: 11374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2758 - -23692. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 2*t)*(-1 - 4016*t + 2 - 2 + 3550*t).\nAnswer: -932*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2159306699\/514386 + 1\/257193. Let n = a + 4186. What is the common denominator of -95\/18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/24 + 77\/(-30) + 3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413011022 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: Calculate the common denominator of 71\/3290702 and 53\/6256.\nAnswer: 447535472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 8. Let a be i(-6). Let w = a - 7. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) 12608 (c) 0.29 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1086 divide 10499448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 66*h + 5984 = 62*h, -h = 4*v - 5959. List the prime factors of v.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*r**2 - r + r**3 - 1\/2*r**4.\nAnswer: -r*(r - 2)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-33)\/v)*(v\/((v*v\/(v*(v\/v**18)\/v))\/v))\/v)\/((v*v**21*v*v)\/v*v)**(-3\/7) assuming v is positive.\nAnswer: v**(191\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 182133 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 - 0.06?\nAnswer: 570.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5. Let h(p) = -p + 1. Let o be h(w). Let g be (-40 + o)*(-11825)\/(-11). Round g to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*f + 222, -f + 9*a + 57 = 5*a. What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*q = -72*q - 50*q - 3706 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456*v = -450*v - 60. Solve 11*l + 30 = -f + 6*l, v = -3*f + l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from {h: 4, d: 1, o: 3, i: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**4 + 5*w**4 + 2*w**4)*(-35565 - 595*w + 35565).\nAnswer: -1190*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 7 + 73 = 0. What is the remainder when 50 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778422438?\nAnswer: 2, 3, 19, 2276089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 10. Suppose i*q - 19 - 1 = 0. Suppose j + 1 = r, 2*r - q*j - 2 = -r. Let d(o) = o**3 - 2*o. Give d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.89.\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1035?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 11\/6*t**3 + 1\/12*t**4 + 106*t**2 + 0*t + 0. Determine w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-540))\/(6\/27). Which is the closest to j? (a) 0.3 (b) 9\/8 (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-4)\/(u*u**(-1\/4)*u*u**(-5))*(u*u\/u**(-3)*u\/((u*u**6*u*u)\/u))**(4\/11) assuming u is positive.\nAnswer: u**(155\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -125.\nAnswer: -22\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46242 is divided by 2936?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 6 = 16*z - 13*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 5*z - 4, 5*z = 7*d - 6*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 102, 0.5 in increasing order.\nAnswer: -0.2, 0.5, 3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 425333917.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367430, 734861, 1102290, 1469717?\nAnswer: 1837142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n - 12 = 53*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 + 9 + -1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/15, -2\/11, -0.03?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.98 - -1.8. Let o = 0.02 - i. Let h = -1.1 + 5.1. What is the third smallest value in 3\/5, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2690, 0.2, 1\/9, -0.5, 722 in ascending order.\nAnswer: -0.5, 1\/9, 0.2, 3\/7, 722, 2690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 11*p + 240. Let d(m) = m**2 + 4*m - 80. Determine 11*d(t) + 4*u(t).\nAnswer: -t**2 + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198011068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4618244.\nAnswer: 2, 1154561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, r: 3, g: 3}. Give prob of sequence ccg.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25\/222 - -2\/37. Let s be (-164)\/252 + (-12)\/(-28). What is the second smallest value in u, 5, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*b + 38043 = 3*l + 54*b, 0 = 4*l + 4*b - 50684. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by 11\nAnswer: 75\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**2 - 19*c**2 + c**3 + 2*c**2 + 2*c**4 + 1 + 0*c**4 + 1 in the form m*c + v*c**3 + j*c**2 + h*c**4 + r and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 4 + 2 + 2 - 6. Let f be q(3). Differentiate -7 + f*p + 6 - 4 wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/3, -27, -46.\nAnswer: -46, -27, -3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 2*f - 1. Suppose i + 3*j - 2 = -i, 3*i - 2*j - 3 = 0. Let w be m(i). Solve w*a + 15 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52926759*y - 31827023 with respect to y.\nAnswer: -52926759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247839826483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15134 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafhfafa. Give prob of sequence aa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = d + 4. Let h(q) = q + 3. Give h(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24125283107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**6\/30 - 3*f**2. Let n be x(-1). Suppose -5*v = -n - 11. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 greater than or equal to 307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -292 + 296. What is the nearest to -1 in k, -0.3, 5, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -9)\/((-2)\/118). Let x = p - 67. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 5. Let n = v + 26. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811420871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s + 45. Let i be o(-6). Suppose -45 + 53 = 2*l. What is the greatest common factor of i and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478415, 478417, 478419, 478421, 478423?\nAnswer: 478425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = x + 13, 3*d + 5 = -6*x + x - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-5 - -4) - -11. Let h be p\/28*(1 - -145). What are the prime factors of (h\/(-3))\/(2\/(-6))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3013.79 or -0.2?\nAnswer: 3013.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28935+0.5\nAnswer: 28935.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 11710*w**2 + 6832725*w - 27518580.\nAnswer: 5*(w - 4)*(w + 1173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 3 + 1 - (-8)\/2. Suppose -9*u + 6*u + 325 = 2*t, x*u = -3*t + 485. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 248 - 4 = 0. Suppose -c = -2*t - t. Let h = 30 - t. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(-1 + 1 - k) - k + k - k + (4 - 4 - 2)*(k + 2 - 2))*(-31460*k**3 - 40871*k**3 + 63870*k**3).\nAnswer: 8461*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = 0, -3*f - 148438 = 5*b - 1926694. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -7346?\nAnswer: -7350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -1380981?\nAnswer: 1380992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 4*b**2 - 2*b - 5. Let x be w(-4). Factor 21 + 81*p - 5*p**x + 27*p**2 + 5*p**3 + 3*p**3 + 60.\nAnswer: 3*(p + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 157168 = -37*v + 41*v, 5*v + 5 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*l = 16, -31*x + 6*l = -27*x + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 92 = 17*y + 13 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173079614 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2959.773 hours in seconds?\nAnswer: 10655182.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4265892 times -0.3?\nAnswer: 1279767.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/91234 and 79\/13706966.\nAnswer: 1658542886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + 1276. Let k = m + 642. What is the third biggest value in k, 8, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**2 - 6*q**3 + q**3 - q**3 - 3*q**2 wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 7*f**2 - 126*f + 779. Calculate the least common multiple of 11 and d(7).\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4 - 3*i + 27*i + 4*i. Let n be k(4). Suppose 3*t = -11 + n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:17 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*m**2 + m**5 + 0*m**5 - 3*m**4 - 11*m**2 + 3*m**3 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1957284, -1957262, -1957238, -1957212?\nAnswer: -1957184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*s - 15 - 1, -s - 2*d = -10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*k = 13 - 105, 3*k + 60 = b. What is the highest common divisor of b and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*a, 15*a = 3*p + 14*a + 47. Let x(o) = -11*o**3 + 10*o**2 + 29*o + 67. Is x(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1784649 - 0.163467. Let p = -0.015 + g. What is p rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 48. Let w(i) = -6*i - 8*i + z*i. Let d(n) = -4*n. Give w(d(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 6 = -7*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*t**2\/5 + 486668*t\/5 - 350363524\/5.\nAnswer: -(13*t - 18718)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41948574457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368 divided by 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:00 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 3*m - 118 = 0, -3*m - 3 = 0. What is the second derivative of t*b**3 - 7*b - 199*b**3 + 128*b wrt b?\nAnswer: -1056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 112. Let x = -23 - -22.4. Which is the third biggest value? (a) y (b) -1\/10 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {m: 1, q: 1, o: 1, u: 2, f: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*q - 10*q - 5, -16 = 4*q. Let d = 1 - 0. Let j = -3 + d. Which is the closest to 1\/4? (a) 0.4 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*10.1\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574 = 59*z - 207 + 400 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:57 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-216.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8*d = -336. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87829 divided by 12547\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1\/3*o**3 + 0 + 0*o + 0*o**4 - 1\/20*o**5 - 3*o**2. What is the derivative of w(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45140803 to the power of 1\/2, to the nearest integer?\nAnswer: 6719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l = -4*w + 6*w - 91*l + 31, -56*w + 5*l + 64 = -13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5)*(-14 - 13\/26*-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-858)\/121 - -2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7304541971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.25677 months to decades.\nAnswer: 0.02713975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, 1, 352.387, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*-5*3\/21. Put j, 4, -128, -2 in ascending order.\nAnswer: -128, -2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 16 = -4*q, l - 69*q + 65*q + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2299) + sqrt(2299) - (sqrt(19) - (sqrt(304)*-1)**2).\nAnswer: 21*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -96, 208, 1122, 2928, 5908?\nAnswer: 10344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*w + 81*w = -4*f - 556829, 2*f = -4*w - 278442. What is f rounded to the nearest one thousand?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**3 - 26*c**2 - 51*c + 30. Let a(y) = 3*y**3 - 5*y**2 - 10*y + 6. Let i(k) = 11*a(k) - 2*n(k). Does 8 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 341*p - 1043. Give a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-369)\/(-15))\/(-41)*480\/9.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85044 and 127566.\nAnswer: 255132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 1. Let k = 70 - 49. Let c = k + -25. Calculate q(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.449438m?\nAnswer: 449438000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b - 95. Let m be r(14). Find the first derivative of -31*h**3 + 134*h**m - 115 + 38*h**3 wrt h.\nAnswer: 423*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351653?\nAnswer: 351653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 3*v, -2*v - 8*a + 8 = -6*a. Solve 0 = -v*i - i + 3*t + 16, 2*i - 5*t = 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90.4 - -90. What is the third biggest value in k, 0.3, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 161. Solve -c*z = 4 + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/28 - 5*x**3\/7 - 75*x**2\/14 - 125*x\/7 + 19. Factor c(l).\nAnswer: -(l + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + o - 19 = -216, -116 = -2*p + 4*o. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*-3)\/((2*sqrt(96))\/sqrt(12))*-2.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -26*l**3 - 27*l**2 + 448*l + 5. Let f(s) = -3*s**3 - s**2 + s + 1. Let x(t) = -5*f(t) + m(t). Find the second derivative of x(j) wrt j.\nAnswer: -66*j - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 8, -19, -5, -11 in descending order.\nAnswer: 8, 1, -2, -5, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*(sqrt(304)*-2 + sqrt(304)) - sqrt(304)))**2.\nAnswer: 128*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 8411497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 963165323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 2*n**3 + n**4 + 0*n**4 + (-5*n**2 - 41 + 41)*(-2*n**2 - n**2 + 2*n**2).\nAnswer: 2*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95193 divided by 4533.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f = -39*f + 28. Let y(g) = -g**2 - 7*g - 5. Let p be y(f). Solve 3*u - 2 - p = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m)*(-4*m + 4*m + m) + m**2 + 3*m - 2*m**2 - m.\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2712 and 720?\nAnswer: 81360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7. Suppose 6 + f = 2*q. Solve c + 0*g - 10 = q*g, -c + 18 = -5*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1282725677\/974643 - 526\/51297. Let n = j - 1317. What is the common denominator of n and 46\/7?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*j + 211 - 56*j**2 + 11*j**2 - 211 wrt j?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 149\/210*t**7 + 0*t**3 + 0*t**6 + 0 - 1\/8*t**4 + 13\/60*t**5 + t**2 - 28*t. Find the third derivative of l(m) wrt m.\nAnswer: 3576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10011 is divided by 146?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -485, -611, -861, -1277?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 24. Let a(m) = m**2 - 10*m + 3. Let f be a(p). What is the derivative of 3*q - 3*q + f + q**4 wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.9198448 rounded to two dps?\nAnswer: -29.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7002 + -4254. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3770 = -5*u, -4900 = -5*o - u - 1118. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3657 - -87. Suppose -s - k = -14*s. What is the highest common divisor of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.96 + -0.04. Let p = s - -12. Let a = -2 + 2.2. Is a <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73590318 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from ydqyyyvvqyyzvvzdy.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2 - 1 + q**2 + 1 + 19*q - 13*q. Let x = 8 + -6. Let h be (-10)\/((x - 1) + 1). Determine o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1752 divide 688619447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 46 = 4*g. Let f = g - 23. Solve 2*c = -4*p - f*c + 4, -5 = p - c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9 + 1 + 1 + 16*f.\nAnswer: 16*f - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + 2\/(-42). Let y = 6.05 - 0.05. Let t = 6 - y. Which is the closest to t? (a) 3 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -42. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 96 - 94 - 21*b - 30*b + 0 + 0 - b + (4 + 1 - 3)*(3 - b - 3) - 3*b + 0*b + b + 8 + 8*b - 8 as q + j*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137340232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 + 2*s**3 - 17*s**2\/2 - 23*s + 3424. Give w(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4245463 or 12736390\/3?\nAnswer: 4245463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11 = 3*p - 8, 0 = -2*o - 4*p + 22. Sort 6, o, 3, 4 in ascending order.\nAnswer: 3, 4, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -215*u - 546 + 546. Let f(x) = 2*x**2. What is f(y(z))?\nAnswer: 92450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203 is divided by 307?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 17*w + 3*w + (w - 2*w + 2*w)*(-2 - 3 + 1) + w + 2*w - 4*w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 152 - 94 = 0. Let k = 21 + w. Let y = 25 + k. What is the greatest common divisor of y and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0277 to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33560023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3657\/20 - -182. Let r(q) = -q**3 + 9*q**2 - 4*q. Let v be r(9). Find the common denominator of u and (-8)\/v - 49\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 2.6. Let c = 125.5 + -125.2. What is the third smallest value in c, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(182\/42 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13057 = -699. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3 - 65*m**2 + 73*m - 2149320?\nAnswer: -6*m**2 - 130*m + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 236720 = 236645. Solve -16\/15 - 2\/15*t**2 - 2\/15*t**g + 4\/3*t = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t + 1. Let j(y) = -7*y**2 - 8*y + 3. Give j(d) - 5*l(d).\nAnswer: -2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 5, 20.\nAnswer: -1, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o + 44*o**3 - o - 42*o**3)*(2 + 1 - 5).\nAnswer: -4*o**3 + 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*u**4 + 24*u**4 - 60*u**4 + (-4 + 0 - 7)*(-u**4 - u - 2*u**2 + 3*u**2 + 4*u).\nAnswer: -61*u**4 - 11*u**2 - 33*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3184*f**3 + 6520*f**3 - 580*f**3 + 2 + f**2 + (-3*f**3 + 0*f**3 + 4*f**3)*(-1 + 2 + 1) as o*f + v*f**3 + b + m*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 70*m - 30. Let v(k) = k**3 - 3*k**2 - 3*k - 21. Let h be v(5). What are the prime factors of s(h)?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + (0 - -7) - 13) + -2 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239782 is divided by 79730.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 24219520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312333427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 31*p + 7. Let q be y(3). Suppose -q = -5*j - 0*j. Calculate the greatest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 3*a + 14. Suppose a = 2*o - 4*o - 4*p, o - 2*p = 0. Let x = -4 - o. Solve x + 4 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, r: 5, e: 2}. What is prob of picking 1 r and 2 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 12. Let x = 18 - s. Calculate the remainder when 56 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19317946 or -19317947?\nAnswer: -19317947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1916720 and 29\/50440.\nAnswer: 1916720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 10. Let y(g) = -1. Let b(a) = -o(a) + 5*y(a). Let x be b(2). Is (-220)\/x + 5 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -1\/15*h**5 + 0*h**4 + 38*h**2 + 0*h + 0 - 16\/3*h**3. Differentiate j(i) with respect to i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 157 - 44\/3*l**3 + 2*l**5 - 4*l**4 + 18*l + 0*l**2. Suppose q(a) = 0. What is a?\nAnswer: -1, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhddhhhdhhhhhdhh. What is prob of sequence hdd?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158206*q**3 - 2*q**2 + 51*q - 33 wrt q?\nAnswer: 949236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2338 and 2548?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(12\/5)*p*(p*p*p*p*((p\/p**(-15))\/p)\/p)\/p assuming p is positive.\nAnswer: p**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2734 + -1164. Let t = -469 + w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 4)*(-1)\/2. Let a(q) = -264*q + 5. Is a(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 9 + r**2 + 3*r)*(3 + 3 - 4 + (2 - 3 + 3)*(2 + 2 - 2) - 4 + 3 + 3) in the form g*r + k + m*r**2 and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 7*h - 7. Let a be f(-8). Suppose -4*q + 1 = -3*q - 4*m, -3*m = 0. Let b be q + 1 - (2 + 0). Which is greater: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(6)\/(sqrt(3) + sqrt(363))*3)**2 - (sqrt(8)\/(4*sqrt(4)) - sqrt(16)\/(sqrt(72)\/sqrt(9) + sqrt(8) + sqrt(8))).\nAnswer: sqrt(2)\/12 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(10)\/sqrt(5))*-1 + sqrt(22)\/(sqrt(22)\/sqrt(2)) + 1 + sqrt(10)\/sqrt(5) + -1 + sqrt(72))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -638570.3 < -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 6*q + 1. Let i be k(2). Let d be ((-51)\/i)\/(3\/(-14)). Calculate the highest common divisor of d and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 + 49*f**2 + 1704*f - 411186 with respect to f.\nAnswer: 8*f**3 + 98*f + 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435 = 100*g - 835 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242871382?\nAnswer: 2, 13, 67, 107, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*a + 0*a = -1, -i + 22 = -2*a. Suppose -4 = 3*j - i. Let d be 3\/(-12) + 1\/j. Is d > -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a = -2*w - 138, 4*w + 0*a + 5*a - 2*a + 156 = 186 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 2*d - 18. What are the prime factors of l(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1234799753374 from 0.4.\nAnswer: 1234799753374.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 15) to base 16\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:25 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 80 = -3*x + 74, 0 = -4*x + r - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147084371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 = r, -2 - 14 = -2*o + 3*r. Suppose 0 = f + o, -5*f + 1 = 5*c + 11. Suppose 0 = c*x - 72 - 60. Calculate the highest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1298*b**2 - 1 - 1461*b**2 + 77*b**2 to w*b**2 + v + o*b and give w.\nAnswer: -2682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27156170 - -7?\nAnswer: 27156177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 19\/5 - 3 - (-1272)\/60\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/(-2) - (-17)\/(85\/40)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 2\/3 (b) -4\/7 (c) 6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4*1\/(-8))\/((-4)\/(-1168)). Suppose -2*c + 1104 = p. Is c - (-7 - (-10)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a + 154 = 64. Suppose -5*f + 3*v = -0*f + 139, -75 = 3*f + v. Let c be (f\/39)\/((2\/2)\/a). Solve t = -c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2)\/((-2)\/(-32)). Let p = b + 12. Calculate the remainder when 17 is divided by 15*p\/(-24)*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32899524?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*w - 30 = 0, w = -5*u + 6*w. Suppose -2*j = -u*j + 31. Suppose -3*z + 4*z = 4*a - j, -z + 9 = a. What is the remainder when 15 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1225818 decades?\nAnswer: 0.001225818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231259 divided by -6.\nAnswer: 231259\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 59*l**2 - 3063*l - 180947. What is c(-58)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 68*t - 4520. Calculate g(111).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Solve -2*t - c*t - 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 6*v + 2. Let n be g(-6). Find the third derivative of 2*p**2 + n*p**2 - 14*p**2 + 8*p**2 + 11*p + 18*p**4 wrt p.\nAnswer: 432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 - 7*i + 9. Let h be z(7). Suppose 0 = -x + h + 1. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29641 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ba5c67 (base 13) to base 2.\nAnswer: 110101100010111001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from {z: 1, h: 6, o: 7, t: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, r: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650 is divided by 236.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.5 (b) -2 (c) 1\/2 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 175 = -u + 6*u, 3*u + 5*f - 133 = 0. Let k = 112 - u. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 990 and 246015?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 18 = 2*j. Let b(u) = -u**3 - 5*u**2 + 6*u. Determine b(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 259, 2, 0.3, 11, -1.09 in ascending order.\nAnswer: -1.09, 0.3, 2, 11, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffofoofolllllofll. What is prob of picking 1 f and 2 l?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-7 + -2 - (-5 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 72. Let l = -29.3 + y. Let m = -0.2 - -0.6. Sort l, m, -2\/3 in decreasing order.\nAnswer: m, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffcffc. Give prob of sequence cc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13926 + 18125. List the prime factors of a.\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4494 and 5136.\nAnswer: 35952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 + 727698*t**3 - 9*t**2 - 2183100*t - 1455396 = 0. Calculate t.\nAnswer: -242566, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3327 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -220*p. Let d(y) = -571947*y**2. Calculate d(c(k)).\nAnswer: -27682234800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f. Suppose f*y + 2*y = 0. Let z(a) = -33*a - 37*a - 8 + 139*a - 32*a - 38*a. What is z(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 1616. Let d(a) = -a**2. Determine y(d(x)).\nAnswer: x**2 + 1616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -3 (c) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -1.15\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14275564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 1. Let j be n(1). Suppose j*b - 1 - 9 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21189.7993 + -21198.8. Let u = x - -9. What is u rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3675)\/(-84) + -13 + ((-82)\/(-8) - 10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1346666 and 393715?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 26*q**3\/7 + 8*q**2 + 8*q\/7 = 0.\nAnswer: -2, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 431025 divided by 28735\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/12*4)\/(((-810)\/5)\/3)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -1854 - 354. Suppose 46 = -h + 670. Let p = z - h. What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-54)\/(-108))\/(2\/1708) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = 5*o, 3*o + 2 - 7 = -2*v. Let q be ((-6)\/(-6))\/(1\/(-4)). Put q, 3, v in decreasing order.\nAnswer: 3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 33*y + 704 = 0. Let o(b) = -b**3 + 32*b**2 + b - 24. Let q be o(y). What is the greatest common divisor of q and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50983 or 50986?\nAnswer: 50986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k + g - 21, -30*k - 4*g + 2 = -25*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 1\/2*i**4 - 11 + 0*i**2 - 2*i - 8\/3*i**3. Let w(d) = -4*d**3 + 15*d**2 + 4. Calculate 11*g(v) + 6*w(v).\nAnswer: -2*v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 875783*y**2 + 353958 wrt y.\nAnswer: 1751566*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 6 - 149*d**4 + 10*d**3 + 29*d**2 + 158*d**4 - 23*d**2 to j*d**3 + q*d + l + v*d**4 + x*d**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -1, 1\/8 in ascending order.\nAnswer: -1, 1\/8, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50266 + 6534659\/130. What is the common denominator of 79\/208 and w?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n = -29*n. Solve -2*r + 5*r + 3 = n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u**2 - 117*u + 69. Give q(-11).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363448499 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279 * -5.\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -4\/27, 5 in increasing order.\nAnswer: -4\/27, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x**2 - 14*x**2 + x + 4*x**2 + 11. Let h be t(-5). Let v = 84 - h. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -21. Let w = 13 + q. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10)*15)\/(30\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1044 and 151\/1392?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 + 5.319. Let o = s - 0.47. What is o rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -73199871.\nAnswer: 21959961.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 1.75?\nAnswer: 2.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(588))\/sqrt(3) - sqrt(6)\/(2*sqrt(300) + sqrt(300)).\nAnswer: 23*sqrt(2)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t + 5. Suppose 0 - 1 = 2*p - 5*z, -p + 7 = 5*z. What is the greatest common divisor of t and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*v + 42 = 0, 0 = u + 8*v - 3*v - 13. Solve -1 = -c + 2*w, c + 2 = -3*w + u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -10. Let v be 228\/24 + l\/2. Let f(m) = m**3 - 10*m**2 + 7*m + 10. Determine f(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -433\/170 + -11\/10. Is -4 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - o**2 - 2*o - 1. Let a be c(-1). Let f be ((-9)\/a)\/((-3)\/8). Let z be 33\/f*-2*10. Calculate the greatest common factor of z and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**5\/20 - 5*x**4\/6 - 23*x**3\/6 - 4*x**2 - 18*x. What is the remainder when d(12) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -450068, -900136, -1350204, -1800272, -2250340?\nAnswer: -2700408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -314633271\/7 or -44947610?\nAnswer: -314633271\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3274 from 0.20439399.\nAnswer: 3274.20439399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/2 - -35\/6. Which is the closest to -10? (a) 0.4 (b) -3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4218.75 rounded to the nearest 10?\nAnswer: -4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 5996705?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + 3*v**2 - 2*v**2)*(-3 + 0 + 1)*(2*v - v - 3*v + (5 - 2 - 5)*(3*v - 2*v + 0*v)) as s + q*v**3 + z*v + w*v**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-50))\/((-7918)\/370).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*g = -50*g + 750. Solve -2*t + 27 = -g*r, 0 = -6*r + 5*r - t - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 184*f**3 + f**2 + 2*f + 2. Let h be i(-1). Let l = h - -263. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971*u**3 - 456*u**3 - 505*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from 87.13195.\nAnswer: 87.20195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, y: 1, a: 4, g: 4, b: 7}. What is prob of sequence rgy?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48\/5*d**2 + 8\/5*d + 42\/5*d**3 - 98\/5*d**4 + 0 = 0. Calculate d.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - t + 3*t - 2*t**4 + 7*t**2 - 2*t as j*t**3 + x*t + d*t**4 + v + o*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/61, 2\/17, -4, -0.077, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 8 - 33. Let h(k) = -k**3 + 3*k**2 + 2*k + 5. Let c be h(4). Is 3*((-50)\/c)\/g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 6*z**2 - 4*z - 6. Let h be c(5). Let a(j) = 4*j**3 + 5*j**2 + 6*j - 7. Let s be a(5). What is the common denominator of s\/16 + h\/(-1) and 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/7 (b) -9 (c) 5 (d) 12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 10*b - 4. Let z = 12 + -6. Suppose -80 = w - z*w. Calculate the lowest common multiple of w and x(8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 5*z - 13)*(-z**3 - 2*z**3 + z**3) + (z**2 + 5*z**2 - 4*z**2)*(2*z**2 + 0*z**2 + 0*z**2) - 3*z**4 + z**4 + z**4.\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 748 - 2422 = 0. Let l = w + 97. Solve l = -z - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**2 + 11*s - 2. Let n(y) be the first derivative of -5*y**3\/3 - 3*y**2 + y + 7. Give 6*k(v) + 11*n(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(98))**2 + 2.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 46 = 4*g, -q + 4*g = -16 - 15. Suppose 2*p + 1 - 5 = 0. Let c be ((-144)\/q)\/(p\/1625). What is c rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.99509 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890770 to the power of 1\/2, to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 * -307.\nAnswer: 59251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 8*z - 5. Let l(v) = v**2 - 7*v + 4. Let j(c) = 4*k(c) + 5*l(c). Let f be j(4). Suppose 3*w + s = 55, f*w - s - 89 = -w. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 0.9, 5, 0.426?\nAnswer: 0.426","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - -3.4. Let n = -0.6 + 0.6. Let v = n + 2. What is the closest to -0.1 in l, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 1448\nAnswer: 37\/1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8 + n + 3*n - 3*n. Let t = -33 + 39. Calculate h(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4 + r - 3*r - r**2 - 4*r - r. Let o be n(-6). What is the units digit of 21*(o - (-5)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(80\/30))\/((-9)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/725 and -52\/25?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 20 = 4*y, -54 - 36 = -9*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + t = 0, i - 2*t - 18 = -7*t. Put -2, 4, -9, i in descending order.\nAnswer: 4, i, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*r - 12 = -4*r, -5*y - 4*r + 30 = 0. Let l(g) = -12*g**2 - 8*g + 26. Let q(t) = -4*t**2 - 3*t + 10. Let f(z) = 3*l(z) - 8*q(z). Give f(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*t**2 - 152*t**2 + 2*t**3 - 153*t**2 + 770*t**2 - 154*t**2 - 151*t**2.\nAnswer: 2*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-1 + 20\/(-6)). Suppose 0 = -8*q + 11*q - 15. Solve q*p - 5*n + 25 = 0, 10*n - 5*n - g = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3650, 14095, 31334, 55367, 86194, 123815?\nAnswer: 168230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + v**2 - 2*v**2 + 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/242 and 23\/2.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38978 is divided by 1026?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(384))\/(sqrt(96)\/(sqrt(12) - sqrt(192))) + 2)*-5.\nAnswer: -10 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508005690, 508005692, 508005694, 508005696, 508005698, 508005700?\nAnswer: 508005702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - -2.93. Which is the closest to -2\/15? (a) f (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1375535528*u**2 + u**3 - 1375535528*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195888 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - -10566?\nAnswer: 10533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/20 - q**3\/2 - q**2 + 5*q. Calculate the lowest common multiple of 21 and u(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j*j\/j**(-4))))\/j*j**(2\/7))\/(j**(1\/2)*j)**42 assuming j is positive.\nAnswer: j**(-397\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 336 = 35*o. What is the greatest common factor of o and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4509714, 9019480, 13529248, 18039018, 22548790, 27058564?\nAnswer: 31568340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -1 - -2*(-12)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Let t(p) = 2*p + 1139*p**2 - 2273*p**2 + 1133*p**2 + 7 + 0. Give t(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgkg when four letters picked without replacement from kggkgkgkkkk?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2*o - 102 - 10)*(-15 + 2*o - o**2 + 15).\nAnswer: -2*o**3 + 133*o**2 - 258*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/8*30\/15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000020449 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179391050, 179391051, 179391052, 179391053?\nAnswer: 179391054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6514 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 the remainder when 194 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/35? (a) 1\/4 (b) 7 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27926 - 27690) + -113 + 0.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 0, 0.6, 8, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 19 = 3*s, -2*a = -111*s + 115*s - 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 9*g + 7. Suppose 0 = f - 1 - 2. Calculate the remainder when k(-3) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t + 42*t = -2*v + 7, 0 = 2*t + 3*v - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-333)\/(-54)*2)\/((1\/(-2))\/(2115\/(-470))).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -52*a + 61*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/15647 + 782372\/172117. Let n = 319974558\/203 - 1576234. Let w = n + -6\/29. Calculate the common denominator of c and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:12 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i - 4*p + 1868, -i + 361 = 5*p. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*m**3 + (-4*m**2 + m**2 + 4*m**2)*(0*m + m - 2*m) - 19*m**3 + 2 + 2*m**3 - 9*m**3.\nAnswer: -29*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65588818?\nAnswer: 2, 131, 139, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l + 315. Let t be h(0). Suppose o - 2*o + t = -d, -d = o - 323. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**14))\/j**26)\/(((j\/j**18)\/j)\/((j*j**(14\/3))\/j)))**44 assuming j is positive.\nAnswer: j**(-2288\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 1139?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = l - 162, 5*h = -3*l + 456. Suppose 117 + l = 6*n. Calculate the remainder when 128 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 - 2*w**4 + 0*w**4 + (0*w**2 - w**3 + 0*w**2)*(2*w - w - 2*w) + 4 - 4 - 2*w**4 + (81*w - 81*w + 5*w**2)*(-4*w**2 + 3*w**2 - 4*w**2).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 254398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8) + 3\/(-6). Suppose -2*r - 8 = z, 5*a + r - 9925 = 2521. Suppose -3*w - 567 = -a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6024 (base 10) in base 13?\nAnswer: -2985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o - 31. Calculate g(-12).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 20*y + 434. What is w(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 304445110 + -2?\nAnswer: 304445104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from babbaaahhbhbhbabhah. What is prob of picking 3 b?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {k: 4, c: 4, t: 9, h: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37759\/20 - -1888. Which is the biggest value? (a) 0.1 (b) 71 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -49. Let c(f) = -10*f - 1. Let x be c(-4). What is the highest common divisor of r and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2 + 103. Let b(w) = 112*w**2. What is x(b(g))?\nAnswer: 224*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {p: 2, c: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 307, 29, -1169, -3755?\nAnswer: -8197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167302*1.\nAnswer: -167302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/1*2\/3. Let t(k) = -k + 1. Let p be 16\/24*3\/2. Let n(s) be the second derivative of s**2\/2 - s. Give p*t(i) + q*n(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z**2 + 3. Let u be g(0). Find the third derivative of -4*f**2 + 3*f**3 + u*f**2 - 4*f**3 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnzmnkzmnk. Give prob of sequence zm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*k - 3. Suppose 0 = h - 282*w + 278*w - 514, w = -2*h + 965. Calculate the remainder when h is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 13. Sort 3, 1, a, 2\/7 in descending order.\nAnswer: 3, 1, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 170. What is the closest to b in -0.3, 0.13, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 7*s)*(-2 + 2 + 9)*(-1 - 2 + 1).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {r: 7, q: 1, s: 3, g: 2, f: 1, m: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssss. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 - 1165\/(-30) - (-3)\/18. Let y be (3 + -1)*(0 - -168). Calculate the greatest common divisor of y and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498958586?\nAnswer: 2, 7, 35639899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:03 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -8. Suppose -8 = t*v - 4*v. Put 3, v, 2 in descending order.\nAnswer: v, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9618, -10521, -12012, -14079, -16710, -19893, -23616, -27867?\nAnswer: -32634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -20, 27*v - 26*v - 41 = -4*d. Calculate the greatest common divisor of v and 30639.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 3*a**2 + a + 3. Suppose 2*w = 0, 25 = 5*y - 0*w - 2*w. Suppose 14 = 3*o - l, 12 + 22 = 3*o - y*l. Determine z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 980 = 2*v - 4*q, -3*v + 5*q = -1438. Suppose 4*b - w - 12 = 0, 5*b - 3*w - 7 = 1. Suppose -74 = b*l - v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**2 + 1 - 3 + 2 to k + x*y + n*y**2 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405317355 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:20 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2 = -3*f - 15, f = -5*x - 11. Is 1 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - 5*z, 5*x + 1 = 4*z + 6. Let n = 4.05 + -0.05. Sort x, -1\/5, n in ascending order.\nAnswer: -1\/5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*s - 42 + 240, 34 = c - 2*s. What is the remainder when 189 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 70. Sort -12.1, -2, w.\nAnswer: -12.1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9161549.\nAnswer: 673, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2785965 and 2730?\nAnswer: 5571930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 - 3) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 11. Suppose -d = -3*d. Suppose -u + 49 = -4*j, 5*u + j - 125 - 99 = d. What is the remainder when u is divided by f(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-2)\/5*1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49355?\nAnswer: 5, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*g + 222 = -0*g, g = -z + 82. What is the remainder when z is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1247463577 * -3.\nAnswer: 3742390731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-28) + 14\/(-49). Which is the closest to -1? (a) o (b) -0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -365*i**2 - 63463 + 56*i**2 + i + 63463 - 3*i to v*i**2 + q*i + d and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/29403 and 43\/67584429?\nAnswer: 608259861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*x**5 + 78272*x**3 + 31*x**2 + 119303375*x wrt x?\nAnswer: -240*x**3 + 469632*x + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-20)\/(-1000)*(-30)\/69?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. Let j = -1 + i. Is 0.4 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - m - 6*m. Let n(d) = 0 + 3 + 2*d**2 - d**2 - 6*d**2. Let a(b) = 4*b**2 - 2. Let s(h) = 3*a(h) + 2*n(h). Give s(w(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 68, 0.2 in descending order.\nAnswer: 68, 12, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2665 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5 + 0 - 4 - 6*f. Let m = 83297 + -83299. Let k(t) = -13*t + 3. Calculate m*k(h) + 5*u(h).\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357892267?\nAnswer: 37, 419, 87589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -194, -193, -192, -191?\n\"Answer: z - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*k*n*r - 2*c**3*k*n - 3*c**2*n*r - 22*c*k*n + 43*c*k*r - 2*c*n wrt r?\nAnswer: 2*c**3*k*n - 3*c**2*n + 43*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**3 + 10*w**2 - 7*w + 29. Let p be a(9). Suppose 88395 + p = 28*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 16*o**2 + 8*o - 7. Let q be d(4). What is the common denominator of (-12)\/(-66) - q\/154 and 45\/196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-755)\/4530)\/((-1)\/(-60)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(((-2)\/(-1354)*(-8)\/(-56))\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**6 + 0*w**4 + 0*w**2 + 5\/42*w**7 - 2*w + 0 + 0*w**5 - 1\/2*w**3. What is the second derivative of u(i) wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587049213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -78, -57?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j**5 + 355*j**4 + 3105*j**3 + 5240*j**2 - 3440*j = 0 for j.\nAnswer: -4, 0, 1\/2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(1\/4))\/s))**8\/(s\/s**0*s)**(-12\/5))\/((s**(1\/3)*s)**48)**(-1) assuming s is positive.\nAnswer: s**(374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1552 and -77\/9336.\nAnswer: 1811184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 310547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51925 divided by -10385\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:35 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + sqrt(192))**2 - (-5*((sqrt(192) - sqrt(192)*1) + sqrt(192)))**2) + (sqrt(192) + -2*sqrt(192))**2*6*-5.\nAnswer: -10366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(88) - -5*(-2*sqrt(88) - sqrt(88))))\/(sqrt(11) - 5*sqrt(22)\/sqrt(2) - (sqrt(1100)*1 + sqrt(1100) - sqrt(1100))) + -3)**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - 26 - (-969 - -959) - 57?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + 1.2. Let q = -1.09098 + i. Round q to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-16))\/(-4 - (-55)\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290015917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 558 = -465 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 117 and -24?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780808 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1627 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1543, 3093, 4661, 6253, 7875?\nAnswer: 9533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3788, -8450, -13110, -17768?\n\"Answer: v**2 - 4665*v + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*o - 617*o + 2 - 2*o**2 - 1 + 365*o + o**2 in the form j*o + m*o**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7109.313 years?\nAnswer: 7.109313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16477, 16499, 16521, 16543?\nAnswer: 16565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 7*m - 2. Let v be r(6). Suppose -v*b + 32 + 32 = 0. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from aiaibb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = -23 - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22288 - 21769. Solve 504*z - w*z - 120 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.4 (c) -10 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/11))**23*(c\/c**(1\/25))**21)**50 assuming c is positive.\nAnswer: c**(8788\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 5 - 7)*(g - 2*g + 3*g) + (4*g - g - 4*g)*(-1 - 3 + 3) as k*g + v and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/6 + g\/2 - 1\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -2*g + 3*r, -3*g = -r + 8 + 12 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633, -1, 0, -5.\nAnswer: -633, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 + 12*v - 1. Calculate m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 61101.\nAnswer: 2444040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 14*o = 38. Let q be (-2)\/1 - o\/10. What is the third smallest value in q, 5, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 11*f + 9. Let z be l(-6). Let b be (-91)\/z - (-1)\/(-3). Suppose b*d = -d + 250500. Round d to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 2*d - 1. Let y(a) = 36*a**2 - 10*a + 27. Let b(f) = -3*i(f) + y(f). Let p be b(2). Is p less than 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 449 - 428. Solve -u + 3*b = 2*u + r, 5*u = 2*b - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, -2, 5330563?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.020925668 + 24075.2.\nAnswer: 24075.179074332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:53 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*(-32)\/(-8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 18, 27, 36, 45?\n\"Answer: 9*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(1 - (-5)\/(-3)). Let t(w) = -2 + 3*w + 2 + z*w. Calculate t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001224 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36918*j - 36873*j - 109 + 1999 = 0 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 9:41 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 51 = 0. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = 11. Sort q, -6, 1, 4 in ascending order.\nAnswer: -6, q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -8\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Let w = -2502 - -2509. Solve w = r + y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x + 4*x**2 - 11*x + 4*x**2 - 4*x**2 - 3*x**2 - 7. Let g(k) = 3*k**2 - 14*k - 20. Let i = 4 - 0. Determine i*g(b) - 11*p(b).\nAnswer: b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48221 = 5*u + 4*h, -6705 - 31839 = 4*u - 5*h. Let a = u + 31341. Round a to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k + 436. Let s be c(0). Suppose -u - 3*u - s = 0. Let w = 156 + u. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*m + 256*m - 1925. Let w = 27 + 12. Calculate the remainder when m is divided by w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.7. Suppose 0 = -3*t + 5*c - 5, -t + 142*c = 139*c - 1. Sort t, h, 15\/13 in decreasing order.\nAnswer: 15\/13, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-670)\/(-268)*((-114)\/(-75) + -2).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536460 (base 7) in base 16?\nAnswer: 16d5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79539644 is divided by 216.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 344, 2608, 8702, 20540, 40036, 69104, 109658?\n\"Answer: 319*u**3 + u**2 + 28*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 266 - 278 = 0. Which is smaller: -3\/37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 - 2 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 14*g\/5 - 12\/5.\nAnswer: 2*(g - 3)*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 5*l**2 + 3*l - 2. Suppose 24 = 3*b + 15, -5*r - 35 = -5*b. Give m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -33, -73, -147, -267?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033954.\nAnswer: 2, 13, 78229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -9. Let b = g + 17. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.34 and -4.8.\nAnswer: 30.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17949, -18046, -18173, -18330, -18517, -18734, -18981?\nAnswer: -19258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43\/((-215)\/(-10)) - (9 - 1). Let v(k) = -56*k + 7. Let u(g) = 57*g - 8. Determine o*u(h) - 7*v(h).\nAnswer: 50*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7200 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7848 + -10941. Sort 0.5, -0.4, i in descending order.\nAnswer: 0.5, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**24\/r)*r))\/r*r**(-44)*((r**(-25)\/r)\/r*r)**10 assuming r is positive.\nAnswer: r**(-283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -6, 54, 170, 360, 642, 1034, 1554?\nAnswer: 2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-9)*(-16)\/(-56)*-15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13132 + -13125. Put 10, 3, -1, v in increasing order.\nAnswer: -1, 3, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.0161.\nAnswer: 0.00483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56170680141\/2260 + 24854285. Let p = -1\/565 + i. Find the common denominator of p and -137\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*w + 156*w + 2 - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7578*b + 7584*b = -72 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(0 + 4 - 2)*(5*y + 0*y - 3*y)*(-2 + 1 + 2).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -5, 4 in descending order.\nAnswer: 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93\/26 - 51749\/14482. Let x = u - 39563\/4456. Calculate the common denominator of x and -9\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 - -3)) + 21 + -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {f: 2, o: 6, b: 11}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -51.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4448, 4466, 4498, 4550, 4628?\nAnswer: 4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 21 = -5*p, -5*p + 14 - 43 = -4*y. Let c = 5 - y. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let l = -5 - -17. Let n be (16\/l)\/(u\/27). Solve -7 = -5*q + n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/152*8*424\/318?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -2*k. Let x be ((-12)\/4 - 3)\/k. Are -3 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {y: 2, j: 2, m: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61811 + 96772. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/194010 and 71\/232?\nAnswer: 776040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1672385, -1672383, -1672381?\nAnswer: -1672379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 107580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 8. Let j be (-17 + (0 - -4))*-1. Let l be u(j). Suppose 4*x - 3*z - 20 = 0, 0 = -2*z + z. What is the greatest common factor of x and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 739, 1698, 2657, 3616, 4575?\n\"Answer: 959*a - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1900) + 3.\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(1*sqrt(12)) - (1*sqrt(140) + sqrt(140))\/sqrt(4))\/(sqrt(320) - (sqrt(320) - 5*(sqrt(320) - -3*sqrt(320))))*2.\nAnswer: -sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 4. Let v = 6 - n. What are the prime factors of (-34)\/v*3\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l**2 - 10*l**2 - 2*l + 2*l. Let j(i) = 2*i**2. Calculate r(j(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/7 - 77*u - 2359410\/7 = 0?\nAnswer: -1290, 1829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095891 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p - p**3 - 4 + 1 - 3*p. Suppose -4*u + 21 = -q - 0*q, q - 3*u + 17 = 0. Let n be (5 + 2)*((-148)\/28 - q). Calculate w(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 4. Let v be (6\/7)\/((-23)\/(-161)). Let y(q) = -7 - 7*q + 0*q + 15*q - v*q. Let r(d) = d**3 + d**2 + 1. Let w be r(-2). What is w*y(x) - 5*h(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 25*o - 15. Let x = 40 - 38. Let z be (3\/1 - x) + 7. What are the prime factors of a(z)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 723.12 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 30. Suppose 4*j - 2*b - 120 = 0, 0 = h*j - 2*b - 2*b - 150. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let q(p) = -119*p**2 - 9*p - 9. Let s(h) = -30*h**2 - 2*h - 2. Let r(b) = -2*q(b) + 9*s(b). Determine r(a(c)).\nAnswer: -128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -169\/4. Let x = 0.1 - 0. Let m = 3.9 + x. Which is the nearest to t? (a) 0.4 (b) 1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 582*f**2 + 16*f + 98. Let l = 553 - 559. Is w(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -71922.8 and -4.\nAnswer: -71926.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -62. Suppose 5*u - 2*w + 0*w - 290 = g, 2*w = 0. Let v = -47 + u. Calculate the remainder when 14 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -929 or -8.3598?\nAnswer: -929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Suppose -s*i - 9 = -3. Sort 3, -1, i in descending order.\nAnswer: 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -145, -182, -229, -286, -353, -430?\n\"Answer: -5*a**2 - 22*a - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-17650)\/(-30)*(17 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66986 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a factor of 178633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33768, 135054, 303864, 540198?\nAnswer: 844056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.109 - -0.009. What is the second biggest value in s, -3, -0.3, 12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 7\/6. Find the common denominator of s and 71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2934119 and 0.02?\nAnswer: 2934119.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5\/2 - 8751*d**4\/2 + 212328*d**3 - 3409536*d**2 + 18216960*d = 0. What is d?\nAnswer: -2965, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:52 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01652*-1.\nAnswer: -0.01652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 0, -4*z - 2 = 5*v + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2 + 8. What is the units digit of (14*(-2)\/(-4))\/(u\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-14) - 37\/2. Let q = u - -21. Solve -5*s + 2*g = -2*g - q, -s + 5*g = 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 350193035935.\nAnswer: 350193035939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(0 - o + 0) + (-3 + 5 - 4)*(-2*o + 2*o - 2*o) + 2*o - 6*o + 0*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. What is the smallest common multiple of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*(-1 + sqrt(325)) + -5)**2.\nAnswer: -60*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = -4*r - 13*j, j = -711*r + 713*r + 6*j - 73 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**5 - s**5 - 4*s**5 + (-5 - 1 + 4)*(4*s - 4*s + s**5) + 2*s**4 - 2*s**4 + 7*s**5 + s**5 - 3*s + 3*s.\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 12*d**2 + 96*d**2 to the form s + a*d**2 + l*d and give a.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10761500 rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -58, -88, -148, -250, -406, -628, -928, -1318?\n\"Answer: -2*u**3 - 3*u**2 - 7*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 4, w: 4}. What is prob of sequence waw?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:35 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, -9 in ascending order.\nAnswer: -9, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13140 and 2555?\nAnswer: 91980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*f**2*k**3 + 2*f**2 + 13*f*k + 3*k**5 - 2*k wrt k.\nAnswer: 546*f**2*k + 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/(8\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 237*f\/4 - 4465\/2.\nAnswer: -(f - 190)*(f - 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63554, 124648, 185742, 246836?\n\"Answer: 61094*h + 2460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2)*t*t\/t**(-1\/3)*t*t)**34)**(-11) assuming t is positive.\nAnswer: t**(-8228\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 1612691264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 + 111*m - 114 = 0 for m.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -398.2326.\nAnswer: -397.7326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-30 + -7 + 21 + -4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*26\/(-117)*-27.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(245) + sqrt(5) + sqrt(5) - sqrt(5))**2 + 0.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 12*j - 18. Let y be h(13). Is (-14091)\/y - 24\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/27 and -155\/230376?\nAnswer: 2073384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 2*z**2 + z. Let r be k(0). Sort 1, 2, r, -3 in increasing order.\nAnswer: -3, r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**2\/2 - 9*k + 551. Let p(c) = c + 4. Calculate 3*n(t) + 5*p(t).\nAnswer: 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.22 + -0.48. Is -1\/3 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-195588)\/3 - 3. Round j to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7 and -88794562?\nAnswer: 88794562.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 1058, 1599, 2140, 2681?\nAnswer: 3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*f = 285*f - 2468 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 12:05 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 478, 1733, 4214, 8329?\n\"Answer: 68*k**3 + k**2 - 42*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6ca (base 14) to base 11\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqkyyqykqkqh. Give prob of picking 1 h and 2 q.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/23 and -0.5448011 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33269449?\nAnswer: 33269449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 - -42375.\nAnswer: 42377.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*j**4 - 418*i*j**3 + 8599*i wrt j.\nAnswer: 4*i*j**3 - 1254*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6 + 29. Let f be -4 + 7 + (23\/(-1))\/1. Let d = f - o. Solve 3*g - 5*n + 12 = 0, -d - 1 = g - 5*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -4, -6, -6, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*-6*4\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 143580484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 234, 1, -3 in decreasing order.\nAnswer: 234, 1, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1252711?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, -1, -34?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 180\/84 - (-2)\/(-14). Calculate the least common multiple of 7 and 10\/i*10\/25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31948.4 + 31948. Which is the second smallest value? (a) 1\/4 (b) 31 (c) t (d) 1\/18 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-2) - (-126)\/(-84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94666 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, f: 5, y: 2, m: 2, k: 4}. What is prob of picking 1 k, 2 m, and 1 f?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -14*b**3 + 69*b**2 + 7150*b - 35726. Determine u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let h be (9\/(-18))\/((-2)\/(-24)). Let m(w) = 2*w**2 + 10*w - 15. Let g(c) = c**2 + 5*c - 7. Let x(u) = 13*g(u) - 6*m(u). Let o be x(h). Give t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.4 and 2726?\nAnswer: 2730.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3 + 3)*(791 - 347 - 88)*(8 - 5 + 0).\nAnswer: -2136*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -708.15 - -708. Sort -2, m, -7 in decreasing order.\nAnswer: m, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -65, -94, -123, -152, -181?\n\"Answer: -29*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 6 = 10*m. Let u(v) = -v**3 - 2*v**2 - v - 2. What are the prime factors of u(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -28b293?\nAnswer: 28b28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spzcacaz. What is prob of picking 1 c and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -10*i + 360. Let f = i + -57. Solve 5 = -f*b + 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 6*m**2 + 8*m + 4\/3*m**3 + 12. Suppose p(y) = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(-11*9\/330)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1224445502 + -2?\nAnswer: 1224445500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o + 37. What is a(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 14*t**2 - 31*t + 246. Let i be f(15). Let d = 455 + i. Solve 3*l - d = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2. Let o = -2 + 0. Let s be (2\/3)\/(o\/(-15)). Let n(i) = 152*i - 5 + 162*i - 313*i. Give s*y(l) - 2*n(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 30, 2, -5, 28.\nAnswer: -5, -4, 2, 28, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 11*c + 2. Let n(p) = 5*p + 1. Let t(m) = -6*a(m) + 13*n(m). Let u(q) be the first derivative of 5*q**2\/2 - 5*q - 3276. Determine -18*t(h) - 4*u(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(-5*1\/50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 2*w + 1. Let h be y(-2). Let v = -25 + h. Let a = 121 - v. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.94227 decades to millennia.\nAnswer: 0.0994227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/990 and 61\/180081?\nAnswer: 1800810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-5)\/75)\/((-165)\/(-50))*3\/(-2)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:38 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*h - 120 = 430*h. Let y(f) = 221 - 111 - f - h. What is y(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 5)*(41 + 4462\/(-92)))\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43558 + 43797 - 87355 - 4*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 0)*(1 + 4 - 4) + 6 - 2 - 3 - 2 + 5 - 2)*(-18*l + 38*l - 13*l)*(-2 + 6 - 2).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 344*t**2 - 685*t**2 + 339*t**2. Let l(z) = -96 + 34*z + 96. Give l(i(c)).\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 7 = 3*c, 7 = 4*c + k - 6*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a factor of 1395644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2348 - -2348.1. Let n = 0.86 + -0.36. What is the third smallest value in u, 4\/3, n, -18?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6630 + -6583. Calculate the remainder when 397 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*w + 2*d = 202*w + 6, -w = -d - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.716573nm to centimeters.\nAnswer: 0.0000001716573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/2 - (-7 - (-1455)\/105). Let m be 0 - (1 + 1 - 4). Factor 4\/7 + p*a**m - 4\/7*a.\nAnswer: (a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1546056104 to six dps.\nAnswer: -0.154606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.321, 11, -1.2, -2\/17 in decreasing order.\nAnswer: 11, 0.321, -2\/17, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 + 14*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 3*o**2 + 450 + 153*o - 450 - 170*o to the form j*o + z*o**2 + m*o**4 + t + x*o**3 and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.56 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7625\/66 + -347\/3. Calculate the common denominator of v and -137\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -20. Let f(u) = -u**2 + 9*u + 1. Let z be f(h). List the prime factors of (z\/(-12))\/(1\/(-52)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 21*z = -6*c - 54, 5*c = -5*z - 15 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -83. Suppose -14*d + 18*d = y. Solve 2*l + d = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1460894564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1425556054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 + 27414\/1440)\/(132\/(-110))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10953 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 5*w**3\/2 - 4*w**2 - 10*w. What is the derivative of v(p) wrt p?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 3. Let t(s) = -s**3 + 5*s**2 - 9*s + 17. Let v be t(3). Let o(g) = 4*g - 8. What is v*u(b) + 3*o(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515 = -33*c - 226 + 378 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 312*w + 4. Let s be d(3). What is s rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1171*b**2 + 2*b - 5694 wrt b?\nAnswer: -2342*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 0.29, -8.8, 3, -5 in descending order.\nAnswer: 3, 0.29, 0, -1, -5, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1063991870 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1041 - 29?\nAnswer: -106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 330\/40)*12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -68\/420583 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 6)\/(-1 - -3). Let n(d) = -d**2 - d. Let g be n(0). Suppose g = z - u*z - 6. Solve -4*i + o = -o + z, -12 = 4*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/11))**(-1\/38) assuming s is positive.\nAnswer: s**(-1\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 141, 132, 137, 162, 213, 296?\n\"Answer: i**3 + i**2 - 19*i + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(3\/9). Suppose 0 = 4*x - 3*g - 6, 3*g + 5 = x + 4*g. Let i = f + x. Solve 2*b + i = -3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74*v**4 + 6*v**2 + 55?\nAnswer: 296*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -103 + (2\/2)\/(-1) + -3. Let u = j + 163. Let n = u - 32. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -71*p**2 - 34*p + 3. Let l(r) = 25*r**2 + 12*r - 1. Let b(v) = 17*l(v) + 6*w(v). Let z(k) = 3*k**2 - 5. What is 4*b(m) + z(m)?\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -129\/74, -6.\nAnswer: -6, -129\/74, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 374808 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138522 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2048*n - 2040*n - 72630*n**2 + 4088*n + 72629*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 5}. What is prob of picking 3 h and 1 f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 27*w**3 - 16*w + w - 48*w**2 + 0*w.\nAnswer: -3*(w + 1)**2*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18800)\/(-188)*8*(-13)\/416?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 7*l + 18. Let f be g(-6). What is the greatest common factor of f and 720?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = u - 27, -3*v - 3*u = -33. Calculate the remainder when (-4)\/8 + 250\/4 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/19 or -70352?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 * 0.3.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2, 521, 1, 0.06, 2\/9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -16. Suppose 4*d + 15 = j, -5*d + 3*d = 2*j - c. Calculate the remainder when 20 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16\/7)*r)\/r**(-16)*(r*r*r\/(r*r*r**(4\/7)*r*r))\/r**(-2) assuming r is positive.\nAnswer: r**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 20*u**3 + 58*u**2 - 16*u - 96.\nAnswer: 2*(u - 4)**2*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 + x**4 + (-2*x**3 + 3*x**2 - 3*x**2)*(x + 1 - 1) + 4*x - 4*x - 3*x**4.\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 4304?\nAnswer: 12912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 2*t - 20. Let l be i(6). Suppose 5*d = 4*h + 13, 2*d + l*h + 5 = -d. Are d and -2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + 2) - sqrt(448)) + -1)**2.\nAnswer: 48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by 68.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-315)\/42)*1\/12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, q: 4, h: 1, d: 6}. Give prob of picking 2 d, 1 h, and 1 w.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 34*p - 307. What is v(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77608 and 17800?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, 3 in descending order.\nAnswer: 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -1, 44, 123, 248, 431, 684, 1019?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 27, 24, 21, 18?\n\"Answer: -3*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30043332 divided by 1452\nAnswer: 20691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -21. What is the closest to -2\/3 in 3, 3\/2, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*r + 5*n, 0*r + 4*n + 12 = r. Suppose -6*v + 640 = r*v. Calculate the greatest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1885698, 3771402, 5657106, 7542810?\n\"Answer: 1885704*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 0*f**2 + 13198 + 2*f**2 - 26433 - 2*f**2 + 13132.\nAnswer: 2*f**3 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 2801?\nAnswer: -2801.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 122564974.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 6, 37, 86?\n\"Answer: 9*u**2 - 14*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 168. Let j = -1 + 0. Let v = j + s. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3139835+-115\nAnswer: 3139720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*k - 68 = 0, 0*k = -2*g + k + 26. Suppose -5*f = -87 - 498. Calculate the remainder when f\/3 + (-3 - 2) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-26)*y*y)\/(y*y**(-1\/3)\/y) assuming y is positive.\nAnswer: y**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (8 + (-183)\/15). Let k(r) = 81*r + 1 - 79*r - 9. Let z be k(4). Is z != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/11, -1\/6, -3\/7, -5, 2551, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - x. Let r(u) = -3*u + u - u + 2*u**2 + 5*u. Let o be (4\/2)\/(-2) - 3. Let w(m) = o*r(m) - 6*y(m). Find the second derivative of w(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (133\/57)\/((-2)\/14*(-21)\/(-18)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -118.1465 and -0.3?\nAnswer: 35.44395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15717\/(-1287) + 13 - 5\/6.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86 - (-21 + -57)) + 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 16*o + 85. What is q(-20)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 56 + 64, 3*m = q + 2. Let v = 28 - 18. Solve m = 3*p - 5*o + 32, 4*o - 38 = 3*p - v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 3*h - 2. Let b be z(-1). Suppose -31 = -b*a + 11. Solve -1 + a = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48872684 to the nearest integer?\nAnswer: 6991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 6 + 6. Let u = -1 - -1.5. Let h = 1.4 - 1.6. Which is the smallest value? (a) u (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 12:22 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -554 (base 7) to base 12\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -22) + -57 + -3 + 1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*d - 18, d + 3*d - 6 = -5*f. Suppose -d*q + 1 = -5*z - 1, -2*z = 5*q - 19. Is -1 + q - (-5 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o*o*o**(1\/5)*o)\/((((o**(-1\/7)\/o)\/o)\/o)\/o**(4\/3)) assuming o is positive.\nAnswer: o**(71\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -5)*14\/3. Let x = -17 - -16. Let i be (13\/(-2))\/(x\/2). Is g < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471393663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 32 = -30. Let l = t + 48. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 3. Let b(z) be the second derivative of 2\/3*z**3 - 7\/2*z**2 + 0 - 1\/12*z**4 - 7*z. What is 2*b(q) + 5*k(q)?\nAnswer: -2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 7. Let t(v) = -1. Let o = 8306 + -8271. Give o*t(i) - 5*a(i).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5385954)\/56)\/(7\/(28\/(-3))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i + 6*i - 7*i - 4, 0 = -5*q + i + 1 + 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9822510*f*o**4 + 18*f*o**3 - 52952914*f wrt o.\nAnswer: -39290040*f*o**3 + 54*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t**3 + 4*t)*(-1 + 3 - 3)*(-150*t**2 - 48*t + 118*t**2 + 113*t**2 + 43*t**2).\nAnswer: 124*t**5 - 48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6402 (base 10) to base 14.\nAnswer: -2494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 63 (b) 2456 (c) -0.3 (d) -8 (e) 1\/4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (122\/24 + 49\/(-588))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14954 - 14953.3. Which is the nearest to -155\/2? (a) k (b) -2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83540, 334168, 751882, 1336682, 2088568, 3007540, 4093598?\nAnswer: 5346742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/33 and -19\/5307?\nAnswer: 58377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000011001 - 1?\nAnswer: 101000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -4*g - 4*a + 130, -4*g + 5*a + 311 = 0. Suppose g = 3*f - 5*b, 6 - 1 = -b. Calculate the least common multiple of f and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/178849 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 840*x**2 - 5220*x.\nAnswer: 5*x*(x - 6)*(x + 174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31309 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 225 + 15*m**2 - 5*m - 14*m**2 + 8*m**2 - 238 as r*m**2 + b + w*m and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23648139, -23648205, -23648273, -23648343, -23648415, -23648489?\n\"Answer: -k**2 - 63*k - 23648075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3314 (base 9) in base 7?\nAnswer: -10060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 5*m + 3. Suppose -10*a + 5 = -11*a. Let s be n(a). Suppose 0 = -3*o + 2 + 1. What is the third smallest value in o, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in 5, -0.5, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*b + 102 = -96, 208 = 2*f + 3*b. Suppose 3*u - 94 = f. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -9. Let d(a) = -3*a + 7*a + s*a + 4 - 2. Let t be d(1). Solve -2*x = 2*x - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14310 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 - 2035 = -7*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20.22. Let g = 0.22000005 - d. What is g rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 (base 8) in base 16?\nAnswer: 6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 - -76. Put -4, n, 4 in descending order.\nAnswer: 4, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + (0 - 0) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-6 - -3) - -5. Suppose 21 = u*g + g. Suppose z + 3*y - g - 5 = 0, 0 = 5*z + y - 130. Solve -2*a + 5*o + 25 = 0, 5*a + z - 7 = -4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 20180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 201944 at most as big as -1721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-24) - (-5)\/(-9). Sort -1\/4, m, -1.\nAnswer: -1, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/291 and 125\/1392.\nAnswer: 135024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**4 + 5*c**3 + 65*c**2 - 5*c - 60 = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 9, b: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 t, and 2 h when four letters picked without replacement from htgqqqhqqgtqhqt?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 7. Let h(f) = 2*f - 22. Let o = 85 - 83. Let c(d) = o*h(d) - 7*b(d). Let p be c(0). Solve 10 = 5*g - p*l - 0, g + 5*l = -28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10075 - -19568. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -15733.\nAnswer: -62932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*w + 769*w + 773*w + 776*w - 3127*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 0.1. Let g = 0.23 + t. Let v = 0.12 + g. What is the nearest to 1\/2 in 3, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/1 + 4*10. Let c be (5 - -4)*1\/(-3). Let y = c + l. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -63 (c) -4 (d) 1 (e) -4\/3 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from whorwyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54060981 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 198 - 288 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3 - -1) + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l + 3. Suppose 2*c - 42 = -5*t, 2*c - 4*c + 12 = 2*t. Let k(s) = -9*s + 5. Determine t*d(a) - 6*k(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -74. Suppose 5*x - n - 235 = 0, n - 83 = -u*x + 50. Are x and 49 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((4 - 3) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72368, 144669, 216970?\nAnswer: 289271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 1\/30*o**6 - 1\/10*o**5 + 1\/6*o**3 - 3*o + 1\/2*o**2 + 1\/42*o**7 - 1\/6*o**4 + 0. Factor g(p).\nAnswer: (p - 1)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 1572 - 1544 + 3116.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1814, 3592, 5340, 7046, 8698, 10284, 11792?\n\"Answer: -2*v**3 - 3*v**2 + 1801*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/70 - -3\/14. Let k(h) be the first derivative of 0*h + 1 + 2\/15*h**3 - y*h**2. Factor k(t).\nAnswer: 2*t*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f, 5*c - 190 = -0*f - 5*f. What is the remainder when 263 is divided by c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Let n(b) = -493404410*b**2. Determine n(g(o)).\nAnswer: -1973617640*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**8\/84 - 13*f**7\/210 + f**6\/8 - 7*f**5\/60 + f**4\/24 - 3*f**2\/2 + 4. Let b(c) be the second derivative of x(c). Factor b(g).\nAnswer: g*(g - 1)**3*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 71. List the prime factors of 294 + -1 + (1 - t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/2)\/b**(9\/2)*(b*b**2)**29 assuming b is positive.\nAnswer: b**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 + 115*k**4 - 30*k**3 - 650*k**2 + 905*k - 345 = 0. What is k?\nAnswer: -23, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3840579.\nAnswer: 3, 426731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 51520?\nAnswer: 257600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (5 - 0)) + 2 + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 29*w + 87 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 2*a**2 + a + 1. Let r be f(2). Let p be 2204\/(-406) + 9\/21. What is the remainder when (r\/(-5))\/(p\/25) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1342 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*i + 20, -20 = -r + 2*i - 0*i. Solve -5*g + 21 = -0*n + n, 4*g = r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(209) + (sqrt(209) - (1*sqrt(209) + sqrt(209))) - sqrt(209) - sqrt(209)) - sqrt(209) - sqrt(209))\/(-1*sqrt(275)).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 17316 = -4*p, 41*o = -5*p + 37*o + 21600. List the prime factors of p.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*(705\/(-27) + 25).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 11 = 5*c, 3*c - 5*q + 208 = 231 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25432 and 267784?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(9\/7))**(-28)*(k*(k*k\/k**(-4))\/k)**(-36) assuming k is positive.\nAnswer: k**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 6*j - 6. Let l(u) = 2*u**2 - 12*u + 13. Let y(s) = 13*h(s) + 6*l(s). Let a be y(5). Suppose -a*d + 7*d = 86. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47923.019793 - 47923. What is q rounded to four dps?\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*p + 398*p + 40005 = 0. List the prime factors of p.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5310780 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 1)*(42*z - 4*z**3 - 42*z) - 3*z**3 + 4*z**3 - 3*z**3.\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 191?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.09.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 21*s**2 - 21*s + 24. Let q be j(-22). Suppose -4*u = -2*u - d - 37, 17 = u - q*d. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/840 + 73*p**5\/70 + 1980*p**4\/7 - 48400*p**3\/21 + 351*p**2. Factor g(d).\nAnswer: (d - 2)*(d + 220)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338644 - -338684. Suppose -2*q = 2*q - 24. Solve q*i - i - g = 4*f, 2*i = -5*f - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/8 + (-3)\/2. Suppose -m = -d*m + 626. Suppose 5*q - 3*s = 408, 4*q = 2*s + 15 + m. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*6\/(-18))\/(15\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -211, -465, -821, -1279, -1839?\n\"Answer: -51*q**2 + q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00275 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 510680*c + 510676.\nAnswer: 4*(c + 1)*(c + 127669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 6*v + 12. Which is smaller: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -15\/112*w**8 - 6*w**2 + 10\/3*w**3 - 5\/6*w**4 + 0*w - 71\/24*w**6 + 0 - 43\/42*w**7 - 15\/4*w**5. Solve h(q) = 0 for q.\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3731, 3380, 2765, 1880, 719, -724?\n\"Answer: -m**3 - 126*m**2 + 34*m + 3824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 39*h**2 + 24*h - 192. Let w be l(16). Which is smaller: -5697 or w?\nAnswer: -5697","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22122?\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 313276*g**2 - 12267104946*g - 49073432328.\nAnswer: -2*(g - 78321)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {r: 3, u: 9, s: 6, z: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2626*o**3 + 7*o**2 + 20*o + 24. Is 88 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -5, 2 in decreasing order.\nAnswer: 2, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 4 = 8*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 5*y**2 - 4*y**2)*(5*y**3 - 2*y**3 - 2*y**3) - 4*y**2 + 4*y**2 - y**5 - 2*y**2 + 0*y**5 - y**5 - y**5.\nAnswer: -5*y**5 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 7 (c) 3 (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -42*l - 9. Let q(k) = 41*k + 10. What is -2*q(p) - 3*z(p)?\nAnswer: 44*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*o - 55 = -55. Which is smaller: o or -8\/2165?\nAnswer: -8\/2165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d\/(d*d**0*d))\/d)**(2\/155)\/(d**(-1\/3)\/d**(1\/6)))**40)**47 assuming d is positive.\nAnswer: d**940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-969 + 1497 + 1825)*(-l + 2*l + 0*l) + (-3 + 1 + 0)*(3*l + l - 2*l) in the form q + n*l and give n.\nAnswer: 2349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -5, 2*h - 68 = 5*h - h - 0*h + 6*s for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129641, -519230, -1168545, -2077586?\n\"Answer: -129863*s**2 + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.852553 litres?\nAnswer: 6852.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 818928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 8*z + 1. Is t(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 91?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 202705439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/28*((-208)\/(-12) - 12)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2067 = -2*z, 0 = 3*q + 7 - 22. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, 4, -3, -2 in ascending order.\nAnswer: -3, -2, 4, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5.52.\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**36\/h)*h**(-1\/6))**(-47) assuming h is positive.\nAnswer: h**(10199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -21*p + 21*p**3 - 5*p**2 + 6*p**2 - 20*p**3 + 22*p. Let l(b) = 14*b**3 + 16*b**2 + 16*b. Give -3*l(q) + 48*m(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7821.\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 56. Calculate the highest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 88037.9ng?\nAnswer: 88.0379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 31, 53, 89, 145, 227?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21622644.45 + -0.056?\nAnswer: 21622644.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**3 + 7*g**2 + 7*g - 9. Let d(k) = -3*k**3 + 4*k**2 + 4*k - 5. Suppose 2*o = 10 - 2. Give o*c(u) - 7*d(u).\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**5\/5 + 162*r**4\/5 - 7279*r**3\/10 + 3248*r**2 + 3810*r + 1000 = 0.\nAnswer: -100, -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*n + 1230 = -109*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 35*c - 141. Let k be p(-30). Solve k*s + 0 = 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50106?\nAnswer: 2, 3, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -96*x. Let g(k) = -358*k - 345*k - 342*k - 340*k + 1347*k. Give g(y(m)).\nAnswer: 3648*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 2*c + 92 + 2*c.\nAnswer: 2*c**3 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 14*u**2 - 3 - 12*u**2 + u**4 + 2*u**3 to the form d*u**4 + a*u**3 + x*u + i + g*u**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (14 - 13) - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.69981. Round z to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4253\/3 - -1417. Suppose 0 = 4*j + k + 6, -2*j - 4*k - 2 = 3*j. Which is the nearest to -3? (a) n (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*h - 7*b**2*r + 2*b*h - 88*h - 2*r wrt b?\nAnswer: 4*b*h - 14*b*r + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:43 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47318, 47308, 47292, 47270, 47242?\nAnswer: 47208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 d when three letters picked without replacement from jjrdjdrhrqj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 358759 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*-6*2\/8. Suppose 5*w + 11 + 8 = -y*x, x = 5*w + 27. Suppose r - x*r + 15 = 3*i, 3*r + 5*i = 25. Which is the closest to -2\/7? (a) 1\/2 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284942369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.8 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 3. Let f = -174 - -177. Solve 4 = -3*b + 3*c - 5*c, f*c + g = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011010000110000101110 + 100?\nAnswer: 1001011010000110000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90.9 + 355.1. Let w = -446.0000394 + y. What is w rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28007731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 4891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0 = -17*f + 12*f + 18, 3*m = -72*f + 219 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - -0.8. What is the smallest value in 5, w, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/6 + 2*m**3 - 2*m**2 + 16*m. List the prime factors of f(6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74125 divided by -3?\nAnswer: -74125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -135*d + 64. Let w(o) = 156*o - 64. Let v(l) = -7*c(l) - 6*w(l). What is v(10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -35*o**3 - 3*o**2 - o + 59. Let f be u(7). What is the hundreds digit of 3\/(-9) + f\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 8*l**2 - 5*l - 13. Let p be r(7). Is p > 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 72. Suppose 2*t + 43 = -11. Let v = 24 - t. What is the highest common divisor of u and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: List the prime factors of 1709787220.\nAnswer: 2, 5, 29, 541, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - 29. Let b = -22 - v. Suppose -4*i + 18 = 5*y - 52, 0 = 4*y - 2*i - 82. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = -5. Let x = 19 - f. Suppose -z = -2*z + x. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94892000 to the nearest one hundred thousand.\nAnswer: 94900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 992300187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 20*x - 1748. Let i be a(87). Let d(m) = -m. Let b be d(6). Let r be (-2 - 22\/b)*3. Sort i, -5, -2, r.\nAnswer: i, -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (0 - (0 + -1)). Let m be -1 + -1 - b*5. Is 8 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {n: 5, j: 2, r: 4, g: 2, t: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m - 12*m + 3*m + (-4*m + 3*m + 2*m)*(-3 + 2 + 3) + 3*m - 3*m + 2*m to l*m + a and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -88. Which is the smallest value? (a) -2\/3 (b) h (c) -5\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 224 = 5*j - 234, -33 = -38*x + 5*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/11, 93\/5, -2, -0.21, -4.\nAnswer: -4, -2, -0.21, 0, 2\/11, 93\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79 from -188186.958.\nAnswer: -188265.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633 divided by -85.\nAnswer: -633\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = 6. Let m be (1*1*-26)\/v. Let k = 19 - m. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374001 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:45 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, j: 2, i: 1, z: 1, s: 1}. What is prob of picking 1 y, 1 r, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345*q**2 - 1512.\nAnswer: 690*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -93*a**8\/56 + a**5\/20 + 21*a**4\/4 + 3*a**2\/2 + 372*a. Find the third derivative of p(v) wrt v.\nAnswer: -11160*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200202 - -2?\nAnswer: -1200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1452*v + 1356*v + 480 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41138, 82269, 123400?\nAnswer: 164531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206 + 205)*16\/36*6\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = y - 3*x, 5*y + 3*x - 23 = 3*y. Is 1\/(-2) - (-102)\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11 + 5*d**2 + 3*d**3 + 0*d**3 - 4*d**3 + 8*d. Let i be r(6). Which is greater: 1\/19 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (2 - 492\/(-2)). Let m = 229349\/6 + -38214. Find the common denominator of m and (-3)\/9*l\/(-124).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m + 2467 = 6032. List the prime factors of m.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2100102 (base 3) to base 11\nAnswer: -1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00388340775 rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + (-74)\/(-14). Suppose 5*y - 3*y - m - 81 = 0, -2*y + 93 = -c*m. Let t = y - 25. Calculate the smallest common multiple of t and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3830189 is divided by 5155.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*u + 50981 = 305*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 2*f + 2. Let j be i(-9). Suppose 5*y + j = 6*y. Suppose 2*a = 5*u + 30 + 27, 3*u - y = -5*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**17)\/q)\/(q*q**(-42))*q**(-7\/9)*q*q*q*q*q**(-2\/41) assuming q is positive.\nAnswer: q**(10027\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*i - 273 = -167*i. Let c(x) = 2*x**2 + 7*x - 21. Let n(k) = -3*k**2 - 11*k - 14 + 17 + 28. Let v(q) = -7*c(q) - 5*n(q). Determine v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907889547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**2 + 2*l. Let f be z(4). Let c = f - -170. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*0.029345.\nAnswer: -0.0205415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-2)*(-49)\/539*-22\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(108) + 2 - sqrt(108) - (3 + 2*sqrt(108) + sqrt(108) + sqrt(108))) + -4 + (sqrt(108) - (-2 + sqrt(108)))*3)**2*-5.\nAnswer: -8660 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742197?\nAnswer: 3, 19, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 - 2*y - 4 + 6*y. Let o(i) = -3*i + 2. Let l(r) = -14*r + 10. Let z(d) = 2*l(d) - 11*o(d). Let h(b) = -b + 3. Let q be h(6). Give q*z(f) + 4*n(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*u - 60 = -550*u, u - 11 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 10*a + 12. Suppose -7 = -4*n + 9. Suppose z - 18 = -z + v, z + n*v - 27 = 0. Let t be g(z). Is 1\/2 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 24, -599400 in decreasing order.\nAnswer: 24, 2, -599400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1021001102111?\nAnswer: -1021001102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.02 + -0.02. Let h = d + -4. Let y = 11 - h. What is the nearest to 0 in -1\/6, 1\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 29 + 20*y - 29 - 27*y. Give w(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 83*h**4 + 13*h**3 - 13*h - 175. Let u(d) = 7 + 2*d**3 + 14*d**4 - 27 - 2*d - 9 + 0. Let z(j) = -6*f(j) + 39*u(j). Differentiate z(c) wrt c.\nAnswer: 192*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 2 + 13*g**2 + 2*g**4 - 1 + 2*g + 4 + g**3 + 20 to r*g**3 + p + z*g**2 + c*g + s*g**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - 0. Suppose 44 - 35 = m*s. Let p(n) = -8*n**2 - 28*n + 28. Let o(u) = -u**2 - 3*u + 3. What is s*p(q) - 28*o(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-75)\/42)*5. Suppose -6 = 2*q - o. Suppose 8 = 2*a, q*a + 42 - 188 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 208 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*n**2 + 150*n**3 + 170*n**2 + 3 + 224*n**3 - 54*n**2 - 2*n to the form l*n**3 + t*n**2 + f*n + h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*1*-6 - sqrt(65)) + sqrt(65))\/sqrt(5).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140631 is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + 2*u + 29. Is 29 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(384)*-2 + -5*-2*sqrt(384))\/((sqrt(12) - sqrt(588)*-2) + -4*sqrt(108)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -3\/23 (c) 2\/3 (d) -4 (e) -5\/2 (f) 0.56 (g) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8214 - 5051. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62 + -2*4\/8. Suppose -u - 10 = -4*q - b, -3*q + 48 = -b. Calculate the remainder when 1*(q - 6\/(-3)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 - -254. Suppose 0 = 5*n - 5*o - 15, 5*n + t*o = 2*o + 6. Suppose 2*r - 16 = -2*r. Solve -n = -3*g + r*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 - r**3 - 2*r**3 + (-4 - 4 + 4 + (3 - 6 + 2)*(-2 - 3 + 7))*(-49*r**3 - 19*r**3 + 21*r**3).\nAnswer: 279*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyfq when four letters picked without replacement from trrfqyn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 35527877359505.\nAnswer: 35527877359500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12682*i + 16763*i + 235560 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/(38\/(-2166))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3 - 7, l - 18 = 3*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/27*(-1 + -14). Solve 13 = w*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 14*n + 3. Let v(z) = -4*z**2 - 203*z - 346. Let p be v(-49). Let d(j) = -j**2 - 29*j - 7. What is p*d(m) - 7*f(m)?\nAnswer: 3*m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (6 + (-1 + 3 - 12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30392 - -151962\/5. Is a < 9\/1441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 1\/4, 0.877, 12, 4\/5, 0.33, 0.5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2752 and 8128.\nAnswer: 349504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 + 2276*l + 143716. What is s(-122)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyssysf. Give prob of picking 1 y and 3 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3249156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1 - 5 = 0. Let s be (l + 1)*1*-1. Which is the nearest to 0? (a) -2\/19 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 3292 - 3352 + 6644.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5997 - -0.4003. Let g = -10 + 9.9. Let i = 0 - g. What is the closest to k in -0.1, i, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 21*k - 26. Calculate the remainder when f(-26) is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**4 + 4233618*k**2 - 60680229*k.\nAnswer: -48*k**2 + 8467236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 4. Let p = -818 + 820. Let s(m) = m**2 + m - 1. Suppose 4*h - 4*n + 16 = -20, 0 = -3*h + 2*n - 25. Let d = h + 8. What is d*z(f) + p*s(f)?\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 94*a**3\/3 - 552. Let r(h) = h. Calculate r(i(l)).\nAnswer: 94*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a02a0 - -1?\nAnswer: 1a02a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4952305371 to the power of 1\/2, to the nearest integer?\nAnswer: 70373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(8\/(32\/(4\/1))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -23828 smaller than -23824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*31\/1550*((-7)\/(2660\/(-16)))\/2?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Suppose 3 = f*a - 3*u, -4*a + 4 = 5*u - 9. Suppose 4*c = 5*v + 30, 0*v - a*v + 54 = 5*c. What is the remainder when 19 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 111. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 48?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 14) in base 10?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {y: 2, g: 4, q: 1, p: 3}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3, 264\/5, 5, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-261624)\/(-4))\/(-6)*(-2 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66916.885 rounded to the nearest 100?\nAnswer: 66900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 6*u - 14, 0 = 5*d - 2*u + 7 - 37 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14640 and 60.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtty when four letters picked without replacement from ytqmyqmymmyyt?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 0.41. Let r = 0.1 - 0.3. Let i(n) = n**2 - 20*n + 18. Let u be i(19). Which is the closest to -0.2? (a) h (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1050)\/(-4550))\/((-2)\/130).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*m**4*o**2 - m**4 + 2*m**2 + 6*o**2 wrt m?\nAnswer: 912*m*o**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1335, 5256, 11791, 20940?\n\"Answer: 1307*w**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4166.768 - -102.332. Let a = n + -5253. Let j = 938 + a. Round j to 0 dps.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.7715 kilograms to milligrams.\nAnswer: 45771500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17685.13 or -23.3?\nAnswer: -23.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7819 - -7819. Suppose 3\/5*q**4 + b*q + 2\/5*q**3 + 0 + 1\/5*q**5 + 0*q**2 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 12*n + 94. Let u = n - 3. What is the closest to 2\/7 in u, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -244, -1002, -2270, -4048, -6336, -9134, -12442?\n\"Answer: -255*d**2 + 7*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 36*t**2 + 56*t - 482. Is 53 a factor of v(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 9 + 3)*(-10 + 10 + 7*c**2) + (-c + 2*c + c)*(3 - 2*c - 3) + 2*c**2 + c**2 - 4*c**2 to the form i*c**2 + b*c + k and give i.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -200 + -16?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525.53 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56858455877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4.09. Let n be (((-30)\/(-675))\/((-2)\/(-10)))\/(-1). What is the closest to -2 in m, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8 (b) -0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81969828 rounded to two dps?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/(o*o**(5\/6)))**34 assuming o is positive.\nAnswer: o**(-1003\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 922.2171 months?\nAnswer: 76.851425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i - 7. Let q be y(-9). Suppose 55*j = q*j - 26. What is the highest common factor of j and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1125837389 to the nearest integer?\nAnswer: 33554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0 + 0*n**3 - 1\/720*n**6 + n**2 + 1\/12*n**4 + 0*n - 7\/120*n**5. Let k(q) be the second derivative of h(q). Give k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -456? (a) -5 (b) 10 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b2 + 870b?\nAnswer: 8649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2539 + 2529. Which is bigger: q or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, o: 1, i: 11}. What is prob of sequence ji?\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -214103 (base 6) to base 10\nAnswer: -17751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1540, 1542, 1542, 1540, 1536, 1530, 1522?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36592 divided by 9148\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -25. Let z = 11 - q. Let h = -0.04 - 0.06. Which is the nearest to 0.1? (a) -0.3 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 600 - 3659\/6. Find the common denominator of -71\/58 and h.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42167?\nAnswer: 149, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 - 67 = 0. Suppose 2*g - 112 = -3*g - 2*r, 5*g - r = 109. What is the least common multiple of m and g?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1869, -1868, -1867, -1866, -1865, -1864?\n\"Answer: a - 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4300327 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 2*q**2 + 3. Let p be ((3\/(-3))\/1)\/1. Let y(j) = -j**2 - 1. Let i(v) = p*m(v) - 2*y(v). What is i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 757555*n. Let l(z) = -2*z. Give w(l(r)).\nAnswer: -1515110*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 21 = 5*c, -10 = -c + 3*c. Let f be (12\/(-24))\/(1\/s). Let u = 0.08 - 0.58. What is the smallest value in f, u, 4\/3, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**5 - 8*z**4 + 14*z**3 + 8*z - 16. Let x(n) = -15*n**3 + 23*n**3 - 7*n**3 - 2 + n. Let t(v) = b(v) - 8*x(v). Factor t(m).\nAnswer: 2*m**3*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.8 + -56. Let v = 1.45 + d. Let k = 0.25 - v. Which is the biggest value? (a) k (b) 2\/11 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-42)*(-28)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1367 - 747*u**3 + 327 + 3*u**4 - 6921*u**2 + 12068*u**2 - 9156*u - 9701*u**2 - 5080.\nAnswer: 3*(u - 255)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - ((4 - -8)\/(-6) + -4008). Suppose 2*o = w - 3*o - 823, -5*w + 3*o = -s. Is w a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.1 + 5. Which is bigger: i or -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15609\/4 + -3925. Calculate the common denominator of 1\/10 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agcafgffaarafr. Give prob of sequence grfa.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 140*f**3*q**2 + 3*f**3*q - 2*f**3 + 3928*f**2 + 3*f*q**2 - 2*f wrt q?\nAnswer: 280*f**3*q + 3*f**3 + 6*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 0*i - 19*i**2 - 11\/6*i**3 + 0 + 1\/12*i**4. Let o be a(8). Solve z + 25 = 5*l, 0 = o*z + 5*l - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - -3.2. Let s = -66 + 64.94. Let t = -0.76 - s. What is the third biggest value in -9, g, t?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*u = 373*u + 18031. Calculate the highest common divisor of 52 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrq when three letters picked without replacement from {q: 6, r: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 + 0 + 0 + -3 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71*-0.01338\nAnswer: -0.94998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - -1a06a?\nAnswer: 1a086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*t**2 - t**4 - 4*t**3 - 18*t**2 + 39*t**2 + 3 - 11 as v*t**4 + i + h*t**3 + o*t**2 + y*t and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*h - 2 = 1, -4*h + 8 = 4*j. Is (-62)\/(j*(-2)\/32) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55650 (base 13) to base 3.\nAnswer: -21212102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21448379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - -7a2?\nAnswer: 7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9777226.95053 less than -3.9?\nAnswer: -9777230.85053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18568.9675 rounded to the nearest 10?\nAnswer: 18570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196591?\nAnswer: 29, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2*l - 2. Let m(t) = 20*t - t**3 + 0*t**3 - 8 - t**2 - 6*t + 5*t**2. Let y be m(6). Determine z(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**2 - 2*n + 4. Does 8 divide s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12628113, -12628110, -12628107, -12628104, -12628101?\n\"Answer: 3*m - 12628116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3704, 3689, 3674?\nAnswer: 3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 464754 or 465895?\nAnswer: 464754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41092717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 497\/588 - (-10)\/(-105). Sort 3, -154, 0, a, 1\/6 in ascending order.\nAnswer: -154, 0, 1\/6, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15688 is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let g(b) = b - 8168. Calculate f(g(r)).\nAnswer: -r + 8168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 13730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -223, -499, -885, -1381, -1987, -2703?\n\"Answer: -55*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66698?\nAnswer: 2, 33349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 36*q**2 - 344*q + 177. Calculate x(18).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694 is divided by 443?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5850 and 30150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -53?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from bddddddbdbbdbdbddd?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -32*v + 41*v - 15 - 2*v - v**3 + 3*v**2. Calculate the smallest common multiple of 64 and q(3).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 - 24 - 95 = 32*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15020 + 15018. Suppose r - 5*r - 4*h - 52 = 0, 5*h = -r - 5. Let i be (-2 - r\/6)*6. What is the third biggest value in a, 0.2, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 22*g + 105. Let r = -907 + 923. Suppose 0 = -d - d + 2. What is the least common multiple of d and f(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -682748.495 to the nearest 1000.\nAnswer: -683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**2 - 11*d + 1. Suppose -2*a + 19 = 3. What is the remainder when 9 is divided by l(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*y - 50, -4*c + 0*c = y - 54. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -141560*j**2. Let u(h) = 8327*h**2. Calculate 6*s(b) + 104*u(b).\nAnswer: 16648*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - -7 - (-573 + 513)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 16*l**2 - 12*l + 196. Give x(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5\/3 + 4240*t**4\/3 - 32*t**3\/3 - 33920*t**2\/3 + 64*t\/3 + 67840\/3 = 0 for t.\nAnswer: -1060, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - q**3 - 24*q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80466 and 14?\nAnswer: 563262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7656660, 7656668, 7656676, 7656684, 7656692, 7656700?\nAnswer: 7656708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2050*o**2 - 3*o + 3. What is the tens digit of w(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1086\/9)\/(16\/(-504)). Let k be v\/35 - (-6)\/10. Let h be (-6)\/(-39) - k\/(-26). Sort h, -3, 4 in descending order.\nAnswer: 4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (5 - 4) - (-15 - -15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 + (4 - 7). Suppose -22*n + 91 = -19. Put n, 4, v in ascending order.\nAnswer: v, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 2*r**2 - 29. Let w(y) = -y**3 + 3*y**2 - 30. Give 5*o(f) - 4*w(f).\nAnswer: -f**3 - 2*f**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8136 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1+751.49\nAnswer: 752.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55475 is divided by 603.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78114 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10601, 21718, 32833, 43946, 55057, 66166, 77273?\n\"Answer: -t**2 + 11120*t - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/85)\/((-144)\/(-100))*6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -23*k**2 - 228*k + 30. Let j be t(-9). Solve 224*x = j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118027?\nAnswer: 7, 13, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = 2*b, 4*b - b - 2*o - 14 = 0. What is the second derivative of b - 4 - 2*n - n**3 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32693229539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2496 = -5*l + 4*d, l - 2494 = -5*d. Let b = l + -1224. Suppose -5*y + b = 5*z, 0*y - y + 1009 = 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194.24 - 1.76. Let g = q + 195.01. What is g rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.784321 millennia to decades.\nAnswer: 978.4321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.850413l to millilitres.\nAnswer: 5850.413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2))\/((7098\/(-240))\/(-169))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24649 is divided by 24637?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -11\/6*c**6 + 0*c + 0*c**2 + 2\/3*c**3 + 1 + 11\/4*c**4 - 2\/5*c**5. Let x(w) = 0. What is w?\nAnswer: -1, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + -8 + 114 + -61 + -79\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3872 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4382*g**3 - 4238*g**3 - 14 + 8.\nAnswer: 144*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -223*b**2*n + 204*b**2 - 3*b*n**2 - 44*b - 6*n - 1 wrt n?\nAnswer: -223*b**2 - 6*b*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20844 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -8520598 and -8520675 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 5. Let o be b(-4). Suppose l = 2*l. Suppose -2*z + 6 = l, 2*z = -2*m - 0*m + 204. Calculate the greatest common factor of m and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/17 + 9560*m**3\/17 - 9550*m**2\/17 - 38240*m\/17 + 38232\/17 = 0. What is m?\nAnswer: -2, 1, 2, 4779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(588)*-2*5 + 4 + 5)**2.\nAnswer: -30240*sqrt(3) + 8467281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25610 (base 13) in base 5?\nAnswer: -4203014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1787 - 1786.86984. Let x = -0.1115 + -0.0185. Let z = x + r. Round z to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.088 - -0.042. Which is the closest to j? (a) -0.5 (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 34. Let p = 13.3 + m. Let k = 2.7 + p. Is 1 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-634 - -639)\/(1 - 3)*-10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/52 (b) -24 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**5 - 391018*b**4*l + 7*b + 747557*l wrt b?\nAnswer: 140*b**3 - 4692216*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1718\nAnswer: -343.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 5*d - 5. Let r be m(5). Let g be (-5)\/(-25) + (-29)\/r. Suppose -4*l + 799995 = -h, g = h + 1. Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 + 1. Let z be r(1). Let u be 16\/(-24) + (-1070)\/(-3). Let k = u - 356. Which is the closest to k? (a) 4 (b) 2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1194 = 5*b - 2*m - 140, 1072 = 4*b - 4*m. What is the tens digit of b\/6 + (-3)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssussssu. What is prob of sequence uuss?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11950 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -60?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 + 100*r**2 - 3990*r + 397. What is d(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17705012.\nAnswer: 2, 13, 340481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65922*d - 65917*d - 30, 9*h + d - 42 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 40\/71 (c) -2\/19 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let p = 3 - 3. Suppose -7*q = -11*q. Solve -r*l + p*l + 2 = q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/6 + (-1)\/(-3). Suppose 216 = 4*r + 40. What is the highest common divisor of r and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -97.\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13335.94 - -0.0181.\nAnswer: -13335.9219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.2 + -5. Let a = -6 + 3. Let p = l + a. Sort p, -1, 0 in decreasing order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39.9 (b) 2853 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -3\/7, 625 in descending order.\nAnswer: 625, 0.1, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 d, and 1 p when four letters picked without replacement from {d: 2, o: 1, n: 4, p: 4, e: 7}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -0.2. Let l = j + -1. Let m = 27 + -107\/4. Which is the nearest to l? (a) -4 (b) 1\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2)*(41 + -62 + (-11)\/((-528)\/(-744))).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 - 2*o - 2. Let a = -8158 - -8160. Let n(i) = 11*i**3 + 8*i + 7. Give a*n(z) + 9*d(z).\nAnswer: -5*z**3 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -915 divided by 5.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (3 - 13) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -51*i + 52*i + 17, 3*i = -4*h + 29. Let f = -263 + 262.9. What is the nearest to f in -5, i, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u + 3. Suppose -4*w + 6 + 6 = 0. Suppose w*k - 7 = -q + 7, -q + 2 = -k. Solve -b - u = k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 91. Suppose -173 = -4*y - m. Suppose 2*r + y = -2*r. Which is greater: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 115 = -21*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4758422?\nAnswer: 9516844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3311\/602*46\/(-11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 118\/10*(4 + 1). Suppose u = 3*n + 2*j, n + 0*n - 5*j = 14. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10720.5 - -10721. Sort -18, 4\/5, c, 17, 5 in decreasing order.\nAnswer: 17, 5, 4\/5, c, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.1 + -27. Which is the closest to -1? (a) -2\/7 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.1648\nAnswer: -0.6592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196 + 206. Let t(k) = 38*k**2 + 56*k - 3. Is t(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 28a36c?\nAnswer: -28a371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Let d = 74 + -74.02. Which is the third smallest value? (a) q (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 6*r + 1. Suppose 2 = -g + 3. Let y be 7\/(-2)*2*g. Let t be p(y). Calculate the highest common divisor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 48*g + 49*g - 3 = 0, 0 = -4*a - 5*g - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 7*d - 6 = 0. Suppose 404 = 4*m + c, -5*m = 5*c - d*c - 505. What is the remainder when m is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 2592224.\nAnswer: -9\/1296112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b + 36*b - 3050255. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t + 14*t = 0. Solve t = -l + 13 - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.848 - -0.048. What is the closest to -1 in 2\/9, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*u - 1341*u + 101514 = 164042 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 151\/(1 + 2 - 2). Let s = y + -1659\/11. Let f be (-11)\/13 + 24\/(-156) + 2. Which is the nearest to f? (a) -0.2 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-40 - (-6)\/2). Suppose -o + 6*o - l = 4*f, 2*f + 26 = 4*o. Suppose -o*j - 3*b = 2*b - 45, 0 = -j + 5*b - 9. Solve -m + j = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 22. Let j be m(11). Suppose -34*q + 36*q - 2*i = 10, j = 4*q + 3*i. Calculate the greatest common factor of 26 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10239, 10225, 10213, 10203, 10195?\nAnswer: 10189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-39))\/(43\/(-258))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.082 + -0.382. Put -0.2, t, 0.3 in increasing order.\nAnswer: t, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -13*y**4\/12 + 35*y**3\/6 - 32*y. What is the second derivative of a(b) wrt b?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g**3 - 38422117*g**2 + 38421864*g**2 - 13*g**3 to the form a*g + v*g**3 + c + f*g**2 and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 111*c**2\/2 + 3729*c - 3456. Find the first derivative of m(q) wrt q.\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145297187 by 1.\nAnswer: -145297187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 + 45*k - 852\/5.\nAnswer: -3*(k - 71)*(k - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:28 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 1118.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 11:53 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.4 (c) 0.3 (d) -5 (e) -14 (f) 10\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*f + 5009472 = 102*f - 77*f. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b\/(b*b\/b**6)*b)*b)\/b*b)\/b**0*(b**0*b)**(1\/21)*(b*b**(1\/2)*b\/b**1)\/(b*b**(-1\/5)*b**(-2)) assuming b is positive.\nAnswer: b**(-53\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:04 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206700 = 84*d + 28280 - 95924. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -680\/9 equal to -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(2*d + 35 - 35) + (1 - 2*d - 1)*(-3 + 0 + 5) + 0*d - 4*d + 28*d in the form c + v*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 2)\/(12\/12). Suppose -3*m + 2*i - 3 = -0*i, -2*m - 21 = 5*i. Put z, m, 1, 6 in decreasing order.\nAnswer: 6, z, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 199*d**2 - 568*d + 113027. Calculate s(199).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 11*o**2 - 20*o + 16. Let f be 3\/((-27)\/6) - (-68)\/(-6). What is the smallest common multiple of 14 and u(f)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1809602 + 924602. What is x rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 113 = 76*n. Solve 0 = 4*y + 8, 24 = -7*i + n*i - 2*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -142, -137, -140, -157, -194?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g - 4. Suppose 0 = 4*m - b - 1508, -4*m + 0*b + 1508 = g*b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 610 + -609.6. Sort 0.04, 5, q, 5\/2.\nAnswer: 0.04, q, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + (0 - -9 - (30 - (-35 + 56))) + 7.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 11. Calculate u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 11*h**4\/7 - 5400*h**3\/7 + 15647*h**2\/7 - 15138*h\/7 + 4880\/7 = 0?\nAnswer: 10\/11, 1, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let h(o) = o**2 - 24*o + 44. Suppose -j - 11*m = -15*m - 14, 78 = 4*j - 5*m. Let t be h(j). Solve -s + n + 3 = t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 4*h + 29 - 35 + 93*h**3 - 7*h to the form b*h**3 + o + w*h + p*h**2 and give b.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 1. Let x(a) = a**3 + 16*a**2 - 24*a - 15. Let f(d) = 2*d**3 + 30*d**2 - 43*d - 30. Let l(g) = 3*f(g) - 5*x(g). What is the units digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 1. Let j be w(-2). Let m be 3\/((-1)\/((-2)\/j)). Let y(f) = 5*f + 11. Let u be y(-3). Sort 4, u, m in increasing order.\nAnswer: u, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3 - 4 + 2. Let p(y) = y - 14. Let n = 10604 + -10612. Determine n*b(g) + 3*p(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - -1 - (8 + -15). Suppose 0*q - g*q = -x - 20, -20 = -4*x. Solve -q*h + h = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/15 + 73*f**2\/10 + 276*f\/5 + 1866. What is m in j(m) = 0?\nAnswer: -69, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Suppose 820 - 314 = 22*z. Let l(q) = -35*q - 43 + z*q + 13*q. Determine l(k(p)).\nAnswer: 3*p - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose -5 - 9 = -7*g. Suppose -60 = -h*o - g*o. What is the remainder when 21 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a - 1\/105*a**7 + 0 + 0*a**3 - 1\/8*a**4 - 2*a**2 + 0*a**5 + 0*a**6. What is the second derivative of r(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -136\/5, -4, 0.4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1.2. Let h = -0.1 - 0.9. Let d = t - h. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -14*d**3 + 120*d**2 + 4*d + 241. Give l(9).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Let y(d) = -d**3 + 3*d**2 + 2. Let k be y(p). Which is the nearest to k? (a) -1 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + p)*(p + 0*p + 2*p)*(-3*p - 3*p + 3*p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - 13\/(-3). Let w(u) = u**2 + u. Let x be ((-3)\/(-12))\/(1\/4). Let i(c) = -6*c**2 + 2. Let t(d) = x*i(d) + 5*w(d). What is t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 745709 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015835801 to four dps.\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sos when three letters picked without replacement from ooossossooos.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1723*f = 5087*f + 1577*f + 428660 + 376492 for f.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtaaaaaatqqhllqa. What is prob of sequence ttq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 1792141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 35*o**2 + 100*o. What is i(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5 = -2*x + m, -2 = 2*m. Let c(j) = 3 - j**2 - x + 1. Let z be c(-2). Put -1, z, 4 in ascending order.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/85995 or 1?\nAnswer: 1\/85995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 21.66.\nAnswer: -43.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367481736.\nAnswer: 2, 3, 19, 29, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 4. Suppose 5 = -d + 10. Let w = 1490 + -1492. Let g(o) = 3*o + 2. Determine d*g(i) + w*t(i).\nAnswer: 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(102) + sqrt(102))\/((sqrt(90)\/sqrt(5))\/sqrt(3)))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 0*m - 56. Let t(k) = -3*k**2 - 15 + 4*k**2 + 5*k + 14 + 11. Let o be t(m). Calculate the greatest common factor of 72 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020049 to the power of 1\/2, to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*h = 2, 0 = -5*f - 4*h - 3 + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.351?\nAnswer: 0.1351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/4*(4\/(-3))\/(94\/282)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11249360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 175, 782, 2001, 4000, 6947, 11010, 16357?\n\"Answer: 28*s**3 + 138*s**2 - 3*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2160333, -2160272, -2160103, -2159772, -2159225, -2158408, -2157267, -2155748?\nAnswer: -2153797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 + -9 - -8 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-4*r**3 + 4*r**3 + 3*r**5) - r**5 + 0*r**5 + 9*r**5 + (27 + 5*r**2 - 27)*(3*r**3 - 5*r**3 + r**3).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -0.2, 7390193, 2\/13 in ascending order.\nAnswer: -2, -0.2, 2\/13, 2, 7390193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 25 + 15*h**2 + 72 - 54 + 0*h**3 + 29*h. Let b be w(-13). Put 3, b, 2, -4 in decreasing order.\nAnswer: b, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 4, o: 2, w: 1, p: 1}. Give prob of picking 2 o and 1 g.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-15))\/((21840\/325)\/(-48))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643377, -1286754, -1930131, -2573508?\nAnswer: -3216885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n. Calculate v(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 885679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3688\/15 - 246. Let a = -222 - -138. Let v be -2 + (-2 - a\/22). What is the smallest value in v, h, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p - 10. Let h be g(-5). What is the tens digit of (-5)\/(h\/72) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 11180.\nAnswer: 4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -12, n + 6 = h + 2. Let c = -11 + 21. Is 13 a factor of 17 + c + (-1 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295002 rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427243?\nAnswer: 427243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 - 3048\/(-72) - 3. Suppose -35 + r = 5*m. Solve m = t + o, -1 + 9 = 5*t + 4*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 26*a**2 - 66*a - 5. Let w be q(3). Solve -w*g = -g - 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r + 70. Let k be z(-5). Let i(j) = -16*j + 94. What is the remainder when i(k) is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + x**3 + 4*x**4 - 30*x + x**4 - 3*x**4 + 29*x in the form q + t*x**2 + p*x + h*x**3 + w*x**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/210*(-128)\/7488.\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1.9, 9, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -378 + 432. Suppose -2*w = 3*u - 10, 4*u + 0 = -w + 5. Let o = 14 - u. Calculate the remainder when c is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/390 - y**3\/39 + y**2. Factor t(g).\nAnswer: 2*(g - 1)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33548966 rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14828460 to the power of 1\/2, to the nearest integer?\nAnswer: 3851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2476140186 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**2 - 385*h + 1523. Give v(4).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/126)\/(152\/(-288)*-2).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 4*n - 235, 117 = 2*f - 3*n. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892169 to the power of 1\/2, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {p: 1, n: 5, y: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114451 + 2.\nAnswer: -114449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 - -143. Which is smaller: -1\/37 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03731 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1856 + 1924. Suppose -3772 = -y + 2*b, -y - b - b = -m. Suppose -4*i - 2*s = -y, 4*i - 1466 = s + 2304. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335 - 2669 + 1334 + 2*o**3 + 4*o**2.\nAnswer: 2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*8423.85.\nAnswer: -75814.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - (-16)\/6. Suppose 3 + 3 = 3*y. Suppose 0*t + 23000004 = -y*z - t, 0 = -z + h*t - 11499988. What is z rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*d + 17, -j - 2*d = 6 + 1. Suppose 0 = -j*g - 1 - 2. Let l be -2 - g\/((-1)\/2). Which is smaller: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(3 + -3*(sqrt(608)*1)\/((sqrt(80)\/sqrt(4))\/sqrt(10))))**2.\nAnswer: -98820 + 2592*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -26*a**2 + 2291*a - 25379. Give h(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*y - 4 = 0, -3*i - 3 = -3*y - 0. What is the hundreds digit of (-5840)\/(-219)*(0 - 33)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 12743 = 50137. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1998, 2, 10 in descending order.\nAnswer: 1998, 10, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4068*q. Let v(f) = -f. Calculate v(z(g)).\nAnswer: -4068*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*x = -75*x + 280. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 3*j - 5. Let o(a) = a**2 + 6*a + 1. Let d be o(-6). Let w be (-5)\/(d*(1 + -2)). What are the prime factors of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251645863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*l = -28, 0*l - 8 = -2*l. Suppose -6*t + 4*t = -v. Suppose -4*k + 37 = r, -4*r + t*k - k + 131 = 0. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 61. Suppose 0 = -m*n - n + 261. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2433910 to the nearest ten thousand.\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 95*a + 1117. Give w(-17).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(1*sqrt(32)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.97 - 2.7. Round y to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11154 divided by 6\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -3. Let t = 10 - -5. Let c = v - t. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16470 and 26352?\nAnswer: 131760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -218, -216?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -31. 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: -280351 (base 9) to base 12\nAnswer: -82a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -84ac5b (base 13) to base 5\nAnswer: -1243434122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or -7377\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 406 = -374 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*h = -4*y + 769*h - 636, 5*y - 27 = -2*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37975.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -41*l - 3140. Let z(s) = 25*s + 1571. What is 3*q(a) + 5*z(a)?\nAnswer: 2*a - 1565","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206777529*t**3 + 491179*t**2 + 44 wrt t?\nAnswer: 1240665174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 2*a + 2. Let y be b(-1). Let d(c) = -182*c + 7. Calculate the remainder when d(y) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 4*i**3\/3 + 3*i**2\/2 - 4*i - 7. Does 6 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1739178925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -509.03 or 5737?\nAnswer: -509.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -143\/2 greater than -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4\/(-60))\/(1\/(-351)*-13))\/((-21)\/35). Let -3104\/15*w**2 + 192\/5 + 6\/5*w**5 + 304\/3*w**i + 608\/5*w - 284\/15*w**4 = 0. What is w?\nAnswer: -2\/9, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92\/5 + -19. Which is the third smallest value? (a) d (b) -1\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3630 - -3691.69. What is o rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/15)\/((-2)\/12). Suppose 2*p + b = 0, -4*a + 272 + 185 = -5*p. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 1738704.\nAnswer: 8693520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -0.4817 times -0.49\nAnswer: 0.236033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6448 (base 11) in base 10?\nAnswer: -8522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*f + 5*y, -2*f - 7 = -3*y - 25. Let t be f\/(-3)*0 - -4. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79282447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 2*h - 1. Let x(a) be the third derivative of -1\/60*a**5 + 0*a + 2*a**3 + 0 - 1\/12*a**4 + 17*a**2. Let m be x(3). Calculate u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*d = 359, -6 = -2*d - 0. Let y = 58 + b. Let c = y + 36. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131021*x - 2835 = -131102*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15*r**(-6))\/(r**(-6))**21 assuming r is positive.\nAnswer: r**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6479, -25841, -58025, -102959, -160571?\nAnswer: -230789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28934599 rounded to 4 decimal places?\nAnswer: 0.2893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*16\/(-60)*(-5)\/((-3340)\/6).\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 29*b**2 - b + 11. Let u(k) = -6*k**2 - 2. What is -2*f(h) - 11*u(h)?\nAnswer: 2*h**3 + 8*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 + 8*h + 10. Let r = 5 - 9. Let u be z(r). Suppose 0 = -3*m + 4*i + 91, 2*m + 5*i = u - 21. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3916 and 1077.58.\nAnswer: 4219803.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15*s + 2. Let w(c) = -29*c - 6. Let i(k) = -7*j(k) - 3*w(k). Let h be i(0). Solve 4*o - 3*q - 10 = 0, -h*o + 10 = o - 5*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + -6*(sqrt(70) + (sqrt(70) - (sqrt(70) + (sqrt(70)*-3 - sqrt(70))))))\/(-2*sqrt(10)*-2).\nAnswer: -29*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 89 + 93 = 4*c, -8 = -3*c + 2*v. Let y = c + 33. Solve 2*t + y - 31 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431 - -1581. What is the remainder when f is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8)\/g*g)**(-30)\/(g**15)**(1\/21))**(17\/5) assuming g is positive.\nAnswer: g**(5695\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*x = 3*r - 84, x = -5*r - 180. Let y = -34 - r. Factor -2\/7*t + 0 - 2\/7*t**y + 4\/7*t**2.\nAnswer: -2*t*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2839\/64 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -4. Put -3\/4, 0.5, w in ascending order.\nAnswer: w, -3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(3)*4 - sqrt(8).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/4, -2, 0.06, 4 in decreasing order.\nAnswer: 4, 0.5, 0.06, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -11) + -17 + 11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 7*b + 7. Let z(c) = c**3 + c + 6. Let k be z(0). Let f be (0 - 1) + (-12)\/k + 9. Give v(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -638 + 638.2. What is the nearest to 0.1 in 0.4, 5, v, -0.01?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/10)\/(2\/10). Suppose -r*b - b = 0. Suppose 3 = -2*l - m + 6*m, l - 4*m + 9 = b. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b - 24*b**2 - 1\/40*b**6 + 1\/3*b**4 + 0 + 0*b**5 + 1\/3*b**3. What is the units digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*r + 18 = 0, -253*o + r = -250*o + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 406 = 4*h, 21*h = 26*h - 4*n + 515. Let p(d) = -d**2 - 13*d - 37. Let x be p(-5). Sort -5, h, x in decreasing order.\nAnswer: x, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 111538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12078342 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 955*s*z**2 - 4*z**2 - 45*z wrt s.\nAnswer: 955*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 - 4 = 4*d, -4 = -3*g - 2*d. Suppose g*y = y - s + 4, 2*y + 3*s = 10. Is 6*(y - (-195)\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62556 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 751484 to the power of 1\/2, to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*a + 1704. Let r = a + -301. Is r + 2 + 0\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 55 = -33*w. Let p = 299 - 85. What is the greatest common divisor of p and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 39593764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5459348\/87 + 62752. Find the common denominator of 23 and g.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by -401183.\nAnswer: -199\/401183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172039 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18954 and 2964.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-7)*(-14)\/(-105)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/16 - -7)*(-36)\/1. Let j be ((-4)\/6)\/(2\/(-9)). Solve 3 = -j*f + q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away 212718?\nAnswer: -212717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30385278?\nAnswer: 2, 3, 7, 11, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 178*z - 10. Let b(k) = 183*k - 10. Give 9*b(o) - 10*c(o).\nAnswer: -133*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 4*y - 5. Let j be b(-5). Suppose 3*v - 12 = -0*v + 3*f, 0 = -2*v - f + 8. Put v, 5, j in descending order.\nAnswer: 5, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -9*l**3\/2 + 26*l**2 - 69*l\/2 - 9 = 0.\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from {e: 2, r: 9, z: 5}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - 3*r**4 - 2*r**4 - 3*r**4 - r**4 + 6*r**4 + (2*r - 2*r + 2*r**2)*(3*r**2 - 11*r**2 - 2*r**2) - 2*r**4 + 3*r**3 - 4*r**3 - r**3.\nAnswer: -24*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 0.56, 5, -3, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide -31 - -2104 - (3 + 4 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/896*-32*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -15. Let d be -2*(-4)\/4 - -23. Let a = d - 19. Calculate the greatest common factor of a and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*f**2 + 38*f**2 - 14*f**2 as w + t*f**2 + y*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 5*s**2 - 5*s - 62. Let g = -191 + 279. What is the least common multiple of d(-5) and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -20.8. Let o = -600 + 596. Sort -69\/2, o, h in ascending order.\nAnswer: -69\/2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.8617 + -6.\nAnswer: -20.8617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 104.4\nAnswer: 1252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -236*q**2 - 42*q - 13. Let o(v) = -118*v**2 - 20*v - 6. Let a(s) = -6*d(s) + 13*o(s). Find m such that a(m) = 0.\nAnswer: -4\/59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 0.059\nAnswer: 0.00531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18404, 72209, 161526, 286349, 446672?\nAnswer: 642489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83700928 and 3536?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 118279.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5834 - 3090. Let g be 119\/r - (-1)\/(-8). Does 0 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 + 6*c - 6. Let x(z) = -13*z**2 - 5*z + 5. Let h(g) = -12*g**2 - 5*g + 5. Let s(n) = -5*h(n) + 4*x(n). Determine -6*s(v) + 5*u(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -15*j + 11*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172.228 + -0.228. Let u = g - 172.013. Does u = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d**4 + 35 - 24 + 5*d**4 with respect to d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -7. Let j = 99.2 + -99. What is the nearest to 0.2 in j, a, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.13 - 0.13. What is the nearest to -0.04 in 0, j, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 280?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 15 = -12*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-44))**(16\/5)\/(i**(-4\/9)*i*i*i*(i**37\/i)\/i*i) assuming i is positive.\nAnswer: i**(-7783\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2069079612 divided by 2.\nAnswer: 1034539806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1134 + 150151?\nAnswer: 151325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 206*j**3 - 6 + 9*j - 8*j + j**2 + j**2 + j. What is the units digit of x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4241, 4221, 4201, 4181, 4161?\n\"Answer: -20*u + 4261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 2*z**4 + 6*z**4 + z**2 + 3 - 2 - 4*z**4 as p*z + k*z**3 + c + r*z**4 + s*z**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2683080 and 3015?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = -36. Let v(w) = w + 6*w**2 + s*w**3 + 4*w**2 - 12*w**2. Let c be 4\/12 + (-4)\/(-6). Calculate v(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/5 + 29886*w**3\/5 - 1167678*w**2\/5 + 13750074*w\/5 - 50968764\/5 = 0.\nAnswer: -14982, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 158*k - 319. Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174 and -5.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*l - 134, -4*v - 103 = l + 83. Put -3, v, -4, 4 in ascending order.\nAnswer: v, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 11*y - 28. Let f be i(13). What is the hundreds digit of 3878\/26 - f\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -39?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 4, 3, -12, -47, -108, -201, -332?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2615 + 1456. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 20)*(114 + -117)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 88 = b - 5*m, 124 = 4*b + 4*m. Suppose 4*x = -15 + b. Suppose 3*g + 6 = -x*p, 5*g + 0*p - 14 = p. Solve n + g = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20634, -20671, -20708, -20745?\n\"Answer: -37*a - 20597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.062069 from -5726637281.\nAnswer: -5726637281.062069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4520)\/585 + (-2)\/(-18) - ((-54)\/9 - 2)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15868 and 21211549?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/3 (b) -3\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1216)\/133)\/(11\/(-77))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7 and 822321957035.\nAnswer: 822321957042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 387 - 359 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -0.3. Let x = 3 - l. Let y be (1\/(-15))\/(1\/(-3)). Sort x, y, -0.5 in decreasing order.\nAnswer: y, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 5, -6\/5, -0.5, 4, 2, 85 in decreasing order.\nAnswer: 85, 5, 4, 2, -0.5, -6\/5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11457.\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 782*y - 21 + 5*y**2 - y**3 - 31 + 15 - 797*y to the form w*y**2 + g + l*y + v*y**3 and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 289 = -34*k + 29*k, 265 = b - 3*k. What is the remainder when b is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 10*d - 11. Calculate b(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 154475 = -5*m, -3*m + 92685 = -28*q + 24*q. List the prime factors of m.\nAnswer: 5, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 671992, -2.\nAnswer: -5, -2, 2, 671992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**4 - 2*n**4 - n**4 + (-1 + 2 - 2)*(105*n**2 - n**4 - 105*n**2).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 144*g - 8778 = 29*g + 26*g for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161033, -161071, -161109, -161147?\nAnswer: -161185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*n + 127*n = 263*n + 5418 for n.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19058)\/(-20) - 2\/(-2). Suppose 151*h - 146*h - 4780 = 0. Let n = h - l. Find the common denominator of n and -54\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(2\/15))\/((-159)\/1378*(-338)\/(-156)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-21 + 39 - (3 + -6)) + -6 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**3 - 4*m**3 + 4*m**3)*(915 - 1825 + 301*m + 910) as s*m**3 + n*m**4 + f + j*m**2 + p*m and give n.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15634061 (base 8) to base 16\nAnswer: -373831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3\/((-12)\/16). Let d be (2 - q)*8\/10. Calculate the greatest common factor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(-1))\/c)**(-16)\/(c**(2\/9)\/(c*c\/(c\/(c\/(c*c\/((c*c\/(((c*c**4\/c)\/c)\/c))\/c)))))) assuming c is positive.\nAnswer: c**(-299\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.21? (a) 0.14 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 36 = -r + 1, 0 = 2*a + 5*r + 85. Let j = a - -95. Which is smaller: j or 67?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3 = -2*x - 138, l = -x - 27. Let n = l - -136. Calculate the remainder when n is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 132 = t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 38*v**4 + 3*v**2 - 3*v + 41*v**4 + 1 as p*v**3 + h + y*v**4 + j*v**2 + g*v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.07 (b) -0.5 (c) 6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -45. Let u be 4\/16 + h\/4. Calculate the highest common factor of u and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 7970*j - 79801. Let h be l(10). Let b = 4.5 - 0.5. Let r = -3.5 - -0.5. What is the nearest to r in h, b, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/357540 and 139\/16520.\nAnswer: 5005560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 57. Solve -1 = -p + t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - 5057\/(-3)) + (-62)\/93?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = z + 21. What is the least common multiple of 99 and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*z - 2*f, -4 = 2*z - 19*f + 18*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.064 (b) -3\/2 (c) 0.1 (d) -44 (e) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17920 (base 13) in base 2?\nAnswer: -1011000110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 2 + 5*j)*(4 - 6 + 7).\nAnswer: 20*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 1:20 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-10)*4\/(80\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*o - 161*o - 266 = 267 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*p**4*r**2 - 6*p**3*r**2 - 6*p**2*r**2 - 20*p**2*r - 2*p**2 wrt p.\nAnswer: -3888*p*r**2 - 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**9\/90720 - x**8\/1620 + 31*x**7\/2520 - x**6\/20 - x**5\/30 + 56*x**2. Let r(n) be the third derivative of t(n). Factor r(s).\nAnswer: 2*(s - 9)**2*(3*s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26358 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*g + 8*g**2 + 143*g**3 + 21*g + 32*g.\nAnswer: 143*g**3 + 8*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 5. Let z(p) = 14*p. What is the least common multiple of z(x) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/5 + 96*u**4\/5 - 736*u**3\/5 - 58884*u**2\/5 - 366178*u\/5 + 85140 = 0. Calculate u.\nAnswer: -43, -22, -9, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.1, 2\/71, -23, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/12 + (-6)\/4 - 6. Which is smaller: y or -0.08?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -142, -141, -140, -139, -138?\n\"Answer: w - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10026.53 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 20*m + 1. Calculate q(-5).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q = -44*q - 82*q - 5694 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4245443\/90 - 47171. Calculate the common denominator of k and 69\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749 - 1011 = -2*m + 5*s, -5*m - 2*s + 4458 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - -54. Suppose 56*l = 55*l + z. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174*p + 365*p + 6870 - 52685 for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - z + 3, -z + 3 = 20*c - 22*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1636*n + 1. Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 2*5*((sqrt(36)\/sqrt(3))\/sqrt(4) + -1)*2*-3*-2).\nAnswer: -690 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z. Let o be 4\/18 + 40\/90. Factor -o*d**4 + 0*d**2 + z - 1\/3*d**3 + 0*d - 1\/3*d**5.\nAnswer: -d**3*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 4:24 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 - 7*z**2 - 82*z - 428. Give m(-6).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeee when four letters picked without replacement from djdddyadeydyda?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 1855*i**3 - 5*i**4 - 1838*i**3 + 2*i + 3710*i**3 as k + n*i + t*i**3 + g*i**4 + x*i**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2040 and 15656915?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 84, 128, 172, 216?\n\"Answer: 44*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320441 divided by -144367?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6465, 7657, 8861, 10083, 11329, 12605?\nAnswer: 13917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5212967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6545 divided by 152.\nAnswer: -6545\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -88.1. Sort g, -5, 1\/5 in decreasing order.\nAnswer: 1\/5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2468, -5359, -8224, -11051, -13828, -16543, -19184?\n\"Answer: 2*x**3 + x**2 - 2908*x + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8 = 2*v, 3 = -v + 2*z + 2*z. Suppose 19 + 3 = 3*f - a, -v*f - 3*a = -46. Solve f*j + 5 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 750.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 63*b + 1509. Let p be x(-30). Is -380 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 4*k**2 + 2*k - 2. Let q(u) = 101*u + 914. Let c be q(-9). Give s(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3333 - 3303. Solve 1262*s - 1268*s + r = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n**4 - 27*n**4 + n**4)*(1 - 19 - 16 + 10) + 0*n**4 + 0*n**4 + n**4.\nAnswer: 313*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1989*l + 64528 = -13043 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y**2 - 2*y**2 - 96549 - 2*y - y + 3*y + 96512.\nAnswer: -2*y**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19062021*-12.\nAnswer: 228744252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 18 + 24 = 0. Solve -a*r = -0*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000325718 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4257?\nAnswer: -5\/4257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*c + 1767 = 644*c - 1113 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1032?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 1.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-1 - 1 + 1)*(-17*b**5 + 0*b**5 + 6*b**5 - 2*b).\nAnswer: 22*b**5 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -268, -282, -282, -262, -216, -138?\n\"Answer: y**3 + y**2 - 24*y - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*s - 340 + 115 = 87. Let x be (-89)\/(-13) + 16\/104. What is the greatest common divisor of x and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/421 (b) -6 (c) -2 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1458\/20412)\/(6\/224)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 149, 330, 583, 908?\n\"Answer: 36*i**2 + i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 3 + 1 - 4. Let f(p) be the first derivative of -p**3 + 1. What is l(f(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -20581.71 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 3, v: 8, d: 1, m: 2, x: 1}. Give prob of picking 1 x, 1 k, and 2 j.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*d*m + 52*b*d*y + b*d + 106*b*m*y + d*m*y + 4*d*m - d*y - 3*m*y - 192*m wrt b?\nAnswer: 4*d*m + 52*d*y + d + 106*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 + 3*m**2 - 3. Let p(x) = -11*x**3 - 5*x**2 + 5. Suppose 4*v - 3*v = -3*z + 7, 0 = -4*v - 5*z. Give v*b(d) - 3*p(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 45 = -x, 0 = -4*p - 2*x - 610 + 646 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnntunnufd. What is prob of sequence dnu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (-5 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*a + 1980 = 0. What are the prime factors of a?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (-27 - -21) - -32) + (-41 - 0)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -57*t + 201. Let i be l(-21). Suppose 3*a + 13*j - 12*j = 2122, -2*a + i = 4*j. What are the prime factors of a?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010308487 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -160. Differentiate -22 + 145*s**2 - 3*s**3 - 157*s**a + s**3 wrt s.\nAnswer: -6*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -4, -35.944, -5 in ascending order.\nAnswer: -35.944, -5, -4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 3027?\nAnswer: 33297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.49839km to micrometers.\nAnswer: 16498390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/49 + 1\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2463*t = -2455*t - 104 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34749*g**5 - 169*g**2.\nAnswer: -2084940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1041 divide 5819210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - 0.15. Let j = -0.06075 - y. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 5. Suppose -6 = b*o - 8*o. Solve 6*l - o*l + 5*d - 12 = 0, l - 4*d = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 * -11.6\nAnswer: 0.3712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5761*j*l**2 + 341*j - l**2 + 10*l + 1098 wrt l.\nAnswer: -11522*j*l - 2*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289295.93 days to weeks.\nAnswer: 41327.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 1 (c) 1\/2 (d) 0.1 (e) 76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 105*j - 122. Calculate m(52).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -197c3?\nAnswer: 197c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 31, 3, -39, 13\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 + x**2 - 5*x**2 + 5*x**2.\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m - 4*m. Let u(y) = y - 1. Let x be u(m). Suppose -d = -x*d - 3. Which is greater: 1\/12 or d?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o + 506. Let i be d(-42). Determine g so that -12\/7 - 27\/7*g**5 - 75\/7*g**i + 87\/7*g**4 + 72\/7*g - 45\/7*g**3 = 0.\nAnswer: -1, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-60)*-5)\/(2\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 24*l - 1496.\nAnswer: 2*(l - 34)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 132319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 9*i**4\/8 - 7*i**3\/2 - i**2 + 11*i. Does 10 divide p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - u**3 - 3*u**3 + (-3*u + u**2 + 3*u)*((3 - u - 3)*(1 + 0 - 4)*(-71 - 68 + 128) + (-4 + 2 + 3)*(u + u - u)).\nAnswer: -35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627854 is divided by 189?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7444 (base 8) in base 14?\nAnswer: 15ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -526553 * 22\nAnswer: -11584166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 176?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -346.09.\nAnswer: -342.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -1, 1 in decreasing order.\nAnswer: 1, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 25*l**2 + 3*l + 4. Calculate the remainder when 49 is divided by y(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25080631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11286382981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 + 131*d**3\/4 - 4087*d**2\/4 - 13467*d\/4.\nAnswer: -d*(d - 67)**2*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 2 - 2*p**2 + 3*p**2 + 3*p**2. Suppose 2 = -4*q + 6. Let y(x) = -7*x - 6 + 7*x**2 - q + 4. Determine 10*i(a) - 6*y(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2238 and 1151451.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1104)\/(-9))\/(-23))\/(-4)*-3*25\/280?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03181 minus 5?\nAnswer: -5.03181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.06 + -21.06. Let b = -0.91 + 1.65. Let t = 1.26 + b. Is x greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 6*y**2 + y + 6. Let u be k(-6). Let i be (4\/2)\/(4\/128). Suppose 0*a = 8*a - i. Solve u = -p + 3*p - a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5636502 + -7?\nAnswer: -5636509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*d - 28 = 0, -5*h - 2*d + 24 = 12. Let p = 1955\/9 - 217. Which is the closest to -3\/7? (a) p (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2416610 divided by 70.\nAnswer: 34523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + -12 + 3 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 8*c + 7. Let h be n(-8). Let d be 49\/14*4*1\/h. Suppose 0 = -4*l + d*s + 622, -l - s - 52 + 215 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 11*m - 60 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 19. Let z be i(-6). Let x(s) = -3. Let q(o) = o - 16. Give z*x(a) + 2*q(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/253, -4, 0, -13, 389, 8?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(90)\/(sqrt(18)\/sqrt(2)) - sqrt(10)))\/(sqrt(405) - -1*sqrt(405)) + sqrt(20)\/(sqrt(120)\/(sqrt(24)\/sqrt(2)))*4)**2.\nAnswer: 5329\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*r - l, 2*r - 3*l - 28 = 7*r. Suppose 3*m - h + 3*h = 1, h = 4*m - 16. Sort r, m, 6, -4 in decreasing order.\nAnswer: 6, m, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425812315 a multiple of 2257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23028 + 23029. Sort 986, -6, l in descending order.\nAnswer: 986, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4272089, -4272087, -4272085, -4272083?\n\"Answer: 2*v - 4272091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:46 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = -3*b - 9, -4*i + 5*b + 21 = 0. Find the common denominator of 15*(i\/70 + 0) and ((-471)\/(-36) + -1)\/((-10)\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 37*o = -65. What is the remainder when 375 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -11101121?\nAnswer: -11101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1250 - 163. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -12)*((-2)\/5)\/(-1). Suppose -38 - 18 = -g*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554, -1362, -2172, -2984, -3798, -4614, -5432?\nAnswer: -6252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -44\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -741?\nAnswer: 15\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/5))**(8\/7)\/(u**(-2\/3)\/u*u)**34)\/((u\/(u**(2\/5)*u))**(6\/25))**(2\/73) assuming u is positive.\nAnswer: u**(4475404\/191625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -18*j**3 + 150*j**2 - 288*j - 98. What is w(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1530 - 1530.3036. What is u rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21534 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17264261?\nAnswer: 7, 2466323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*r - 728*r = 2*m - 19, 3*r = -5*m + 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.7223136 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 + 335*r - 690 = 0. Calculate r.\nAnswer: -69, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 3, t: 1, x: 5, n: 4}. What is prob of sequence wj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535501 (base 6) in base 7?\nAnswer: 242236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/8)\/((-3)\/(-2)). Let i(b) = -12 + 3*b**3 - b**3 - o*b**3 + 3*b - 8*b**2 + 4*b**3. What is i(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Suppose -572 = -4*i + 2*g, 2*i + v*g + 18 = 304. What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 657593\/8 - 82078. Let h = p - 121. Let g be 120\/560 + (-1 - 1) + (-12)\/(-8). What is the biggest value in 1\/3, g, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (752\/20680)\/(4\/44*16 - 1).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4 - 2\/(-4). What is the derivative of 0*c**2 + f - 6 + 8*c**2 - 1 wrt c?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/165 and 109\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4032, 4038, 4048, 4062, 4080?\nAnswer: 4102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 66.01491 nanoseconds?\nAnswer: 0.00000006601491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = -5*g + 21, -5*w - 32 = -g. Suppose 16*o - 178 = 78. Suppose 45 = o*n - 19. Solve n*j + g = -5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171744*l**3*v - 2821*l**2*v - 12*l*v - 3 wrt l.\nAnswer: 1030464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2972802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l*(l*(l*l\/(l\/(l*l**(1\/13)*l)))\/l)\/l)\/(l\/(l\/(l*l\/l**(-1))))**(-3)*((l\/l**(-7))\/(l\/(l*l**(-1\/2))))**(-19\/5) assuming l is positive.\nAnswer: l**(-557\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, x: 7, t: 10}. Give prob of sequence txxr.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 4, 10, 2, 1, 175, -3 in ascending order.\nAnswer: -76, -3, 1, 2, 4, 10, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 2205.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7741 + -0.5741. Which is the second smallest value? (a) 106 (b) 0.4 (c) 5 (d) 4\/3 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -316? (a) 1 (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111 - 1)*(-100 - 38095\/(-380))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = 0, 0 = -4*h + 2*h + 3*s + 4. Let m = 2053\/88 + -51\/88. What is the common denominator of h + (4 - 41\/(-6)) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 118.424878?\nAnswer: 47.3699512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/3, -11.\nAnswer: -11, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 394 = 831 - 407 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -107713.2 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671 + 2010 + 3*r**3 - 669 + 13*r**2 - 670.\nAnswer: 3*r**3 + 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 3*n**2 + 2*n. Calculate the remainder when 12 is divided by x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 3114320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1216, 7\/45 in descending order.\nAnswer: 47, 7\/45, -1216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2543 - -23732. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627937954 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(28\/6)*8\/3. Suppose 0 = -4*k - 3*t + 255, 0 = k - 2*k + j*t + 59. Let f = 65 - k. Solve -g + 2*c + 0 = -3, -3*g - f*c - 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4846571 divided by 1.\nAnswer: -4846571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465*h - 167*h - 5343 = 2405. Solve -5*c + 24 = -3*i + 2, i - h = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*t + o = 82*t, 3*t - 3*o = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0199 + 2.0199. Which is the third smallest value? (a) -0.1 (b) -7 (c) r (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let p be 112\/84 - (-26)\/(-20). Let y(g) be the third derivative of -p*g**5 + 0*g + g**2 + 0*g**3 + 0 + 0*g**4. What is b(y(z))?\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubnnnnbbubbnbfub. Give prob of sequence nu.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -166855*q - 667411. Calculate s(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 5. Calculate the smallest common multiple of k(-8) and 185\/(-74) + 39\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + ((-346775)\/(-44))\/25. What is the highest common divisor of p and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11311401 + 1?\nAnswer: -11311400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 78.7. Let c = -7.7 - f. Let k = 43\/147 - -2\/49. What is the nearest to 1 in 4, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2. Let p(f) = -7*f**2. Let z(y) = 4*g(y) + 5*p(y). Let v(o) = -3*o. Calculate v(z(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -5*y - 46, 2*r = -2*y. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = s + 4, 0 = 5*z + 2*s - 13. Suppose -5*g + z = -2*u, 2*u - 4 = -2*g - 0*g. Do 1 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(99) - 1*sqrt(99)) + sqrt(99))*6)\/((-2*sqrt(27))\/sqrt(3)) + 2)**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -1. Let c = p - 12. Is 5 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2535 = 43*z - 56*z - 52*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 12}. What is prob of picking 2 m?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 + u - 1. Let j(n) = -904*n**4 + 3*n**3 + 3*n**2 - 3*n + 979. Let i(q) = -j(q) - 3*t(q). What is the first derivative of i(k) wrt k?\nAnswer: 3616*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, t: 2, m: 10}. Give prob of sequence tzt.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 - 1394?\nAnswer: -1394.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/6 - p**3\/2 + p**2\/2 + 7*p\/6 - 1 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/17))**(-2\/9) assuming p is positive.\nAnswer: p**(2\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 11*p - 6. Let k be d(-10). Let z = k + 15. Let h(f) = 4*f**3 + f**2 + f. What is h(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Let c(q) = -q**2 + 4*q - 2. Let d be c(z). Let g be (0*3\/(-9))\/d. Solve g = 2*o + 5*k + 7, -o + 2*o - 5*k - 19 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -764 + 1324. What is the common denominator of ((-524)\/n*-4)\/(-2) and -33\/2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x + 128. Suppose -3*c - 12 = 63. Let d = c - x. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*q**3 - 233*q**3 - 282*q**3 - 234*q**3 - 410*q**3 + 1389*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/80 + (-38)\/(-15)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2931 + -2805. What is the least common multiple of k and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 17*d - 30. Let s(k) = -11*k**2 + 35*k + 60. Let p(y) = -4*s(y) - 9*z(y). Let p(j) = 0. What is j?\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(1 - 2*f - 1) + (-1 + 3 + 0)*(3*f + 19*f + 31*f) - 2*f - f + 2*f.\nAnswer: 103*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -2, -3, 2.\nAnswer: -6, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -11, 0, 32.1, -4, -1\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 2)*(-2 + 1 + 2)*(0 + 2*l + 0 - 2*l + 2*l + l - 2*l - 2*l + 3*l + (5 - 3 - 1)*(l + 4*l - 3*l) + 1 + l - 1).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.08, 0.3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63259.\nAnswer: 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 + 2690*p - 2698*p - 8*p**2.\nAnswer: p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.18 (c) 0.1 (d) -165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 16) in base 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sasa when four letters picked without replacement from {h: 1, m: 2, u: 1, a: 3, s: 4, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:36 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(44) + (sqrt(264)*1)\/sqrt(6))\/(6*(sqrt(20)\/sqrt(5) + sqrt(4))))**2.\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 10 = 2*n. Let d(o) = -2 + 0*o**2 + o**2 - 4*o**2. Let g(u) = 3*u**2 - u + 2. Let k(q) = -3*d(q) - 2*g(q). What is k(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 - 142.9. Sort -12, 3, 4, b in decreasing order.\nAnswer: 4, 3, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19504 - -19506. Let g = 0.2 - 0.3. Which is the second biggest value? (a) g (b) -1\/151 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 0*k**2 - k**2 + (-1 + k + 1)*((0 - 2 + 1)*(-1 - k + 1) + 9 - 9 - 9*k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313595?\nAnswer: 5, 19, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 8*q + 3. What is g(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 26\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(39\/(-162)) - 24\/156. Solve g*u - 25 + 13 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*i - 4*n + n, 4*n = 3*i + 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 2*v - 15, 0 = 42835*v - 42836*v + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 28*h = -1477. Let w be -8*(2\/(-7) - 1875\/(-70)). Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108.94054184 + 606.94050694. Let y = 1057 - 559. Let h = m - y. Round h to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295401.\nAnswer: 3, 98467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3175 is divided by 152?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Suppose -3*i + 3*o + 162 = 0, -135 = -4*i - p*o + 54. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + 1131003322?\nAnswer: 1131003133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75869 = 112*y - 262125. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3747*a*b - 2*a*d**3 - 4*a*d**2*k + 45*a*d*k + 61*b*d**3*k + d**2*k - 27*d*k + 3 wrt b?\nAnswer: 3747*a + 61*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2 - 10, 4 = 5*d + 2*w. Let q(p) = 0*p**2 + 15*p**2 - d + 1 + 2 + p. Is 13 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214001681.\nAnswer: 193, 1108817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3332950 and 137\/5730.\nAnswer: 9998850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let f(y) = y - 2. Suppose -5 = -5*s - 5*b, 9*s + 3*b = 4*s + 7. Let k(m) = 2*m - 3. Let p = 4 + -7. Let g(x) = p*f(x) + s*k(x). Give g(z(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 3*o - 2. What are the prime factors of a(4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.116 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134 and 2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.16247 litres to millilitres.\nAnswer: 38162.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2434723 * -3.\nAnswer: -7304169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 - 16*p + 6. Let z be (-8)\/2 + (5 - 10)\/(-5). Let m(h) = -2*h**2 + 5*h - 2. Calculate z*l(o) - 10*m(o).\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2. Suppose 14 = 5*q - 0*j + j, -j = -q - 2. Let s(x) be the first derivative of 0*x - 1 + 0*x**q - 2\/3*x**3. Determine c(s(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - (8 - -21 - -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242374747 to the power of 1\/3, to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-24)*(-32)\/176)\/(138\/(-24))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 1772.\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i - 278. What is the remainder when v(12) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 2*m**2 - 2*m**2 - 5*m**2 as u + l*m**2 + w*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 2433*j + 49854. Calculate r(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*5*sqrt(104)*-6)\/(sqrt(512) - (1*sqrt(512) + sqrt(512)) - sqrt(512) - (sqrt(24)*3)\/sqrt(3)).\nAnswer: 120*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w - 645 + 173 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3 + 7. Differentiate 4*x**2 - x**2 + 2*x**2 + r wrt x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 84, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -25*p**3 + 24*p**2 - 26*p - 114. Let t(d) = 9*d**3 - 8*d**2 + 9*d + 39. Let h(f) = -11*t(f) - 4*u(f). Determine h(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -26*r - 9. Let u(p) = 43*p + 9. Determine -3*a(n) - 2*u(n).\nAnswer: -8*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93086 (base 13) to base 6.\nAnswer: 5353022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (-3 - 1*255). Let l(u) = -u**3 - 10*u**2 + 6*u + 19. Let g be l(-7). Let n = g + h. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36132 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -77, -251, -505, -809, -1133, -1447?\n\"Answer: 5*k**3 - 70*k**2 + k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(2 - 1)*2. Suppose -8 - l = -5*g. Factor 0*o**3 - 3*o**3 + g*o**3 - 3*o + 2.\nAnswer: (o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8)\/((132\/80)\/11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 2516570*q + 52850175.\nAnswer: -5*(q - 503335)*(q + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = 111*i + 728 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4, 4, 10, 29165, -5 in descending order.\nAnswer: 29165, 10, 4, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 147 - 54. Let f = m + -24. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 53*o + 2733. Calculate q(-54).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 24. Let v(b) = 34*b + 1. Is v(t) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-9) + 4\/24*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let v = 0.6224 - -0.3776. Which is the second biggest value? (a) 4 (b) v (c) f (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (2*sqrt(27)*6 - sqrt(27)))\/(sqrt(9) - (sqrt(441)*-1 + sqrt(441)))*-4)**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/11 (b) 2\/71 (c) -0.2 (d) -2 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s - t + 3, -5*s - 2 = -t. Suppose 6 = 3*i + 3*w, 3*i = -s*i + 4*w + 20. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12095898 and 149\/96767184.\nAnswer: 96767184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -2) + 12 + -42 + (-13 - -137)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2246819 by 4.\nAnswer: 2246819\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvwvw. Give prob of sequence vv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/j*j)\/(j**(-6\/7)\/j)*(j*j*(j**(-1)\/j)\/j*j*j)**(-14\/5) assuming j is positive.\nAnswer: j**(212\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-22)*q**(2\/7)\/q**3)\/(q**2*q\/(q\/(q**(-1)\/q*q)*q*q)*(q*q**1*q)**(-1\/51)) assuming q is positive.\nAnswer: q**(2421\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 6*j**2 + 4*j - 3. Suppose 0 = 3*o - 5*o + 5*x - 35, -10 = 4*o + 2*x. What is the units digit of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/7 + 18980586*o\/7 + 30021887075283\/7 = 0. Calculate o.\nAnswer: -3163431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261627 is divided by 1677?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-18) + 30\/(-135). Suppose 4*w - 10 = -w + 4*l, -4 = -2*w + l. Which is the closest to w? (a) -4 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -363, -349, -319, -267, -187, -73, 81?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111001001 (base 2) to base 6\nAnswer: -2041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.2. Let y = t + -0.3. Let n = -280\/3 + 95. What is the nearest to 1\/4 in y, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2915496 - 5?\nAnswer: -2915501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(891) + 1 + sqrt(891)) + -2 + (sqrt(891) - 1*1*sqrt(891))*-3 + 4)*-3 + 2)**2.\nAnswer: 5940*sqrt(11) + 802021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.66 - -10. Round h to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -m - m + 71, -5*m + 83 = 4*z. Solve 0 = c + 2*w - 7*w + z, -5*c - 20 = -2*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13685477 and 3596.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11\/3, -0.3, 1, 0.1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - k + 14. Let i = -121 + 117. Let f be z(i). Suppose -41 - 97 = -f*y. Calculate the remainder when y is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-13) + (-7)\/((-161)\/92)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661249 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/165)\/(198\/15)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*t. Let p(z) = 3 + z**3 - t + 0. Let j(a) = 11*a + 35. Let r be j(-3). Let g(x) = -4*x**3 - 7. Calculate r*g(i) + 7*p(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 19*a - 9. Let h be p(10). Solve h = -3*d - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.044 - -2.856. Let i = -0.1 - j. Let b be 6\/4*12\/45. What is the nearest to i in b, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 20*n. Let v(j) = 171*j. What is v(d(r))?\nAnswer: 3420*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.7 - -6.7. Let c = n - -30.999915. Round c to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 30*d + 11. Let x be j(-6). Let i = 239 + x. What is the smallest common multiple of 16 and i?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12283767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -21909866 to the nearest 10000.\nAnswer: -21910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -5 + (-1 - -5) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4418 and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-3) + (17 + 1 - 8). Sort -2, z, -9, 0, 1 in decreasing order.\nAnswer: z, 1, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -7.7232, 1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) - (sqrt(441) - -2*sqrt(441)))\/sqrt(9))\/((sqrt(70)*-1)\/sqrt(10)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121653739\/3 or 40551246?\nAnswer: 121653739\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = -14*y + 4569. What is the remainder when y is divided by 76?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 86, 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43438)\/(-4) + (-2 - 30\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 5*u**4 - 2*u + (-5 + 1 - 1)*(7*u**4 + u**4 - u**4) + (5*u - u - 3*u)*(-u**3 - 2*u**3 + u**3) + 3*u**4 + u**3 - u**3.\nAnswer: -29*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.415246*-41\nAnswer: 17.025086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10791*s + 36028.\nAnswer: 10791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igii when four letters picked without replacement from igggigggiggggggggig?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 + 206.7. Let s = m - -3.29999868. Round s to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 9*f**2 + 7*f - 6. Let k be l(-7). Suppose 77 = -2*z - 5*n, -4*z - 105 = -z + 4*n. Let g = k - z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89 - 89 - 17*d**3 + 0*d**3 + d**3 + 0*d**3 + (0 + 2 - 3)*(d**3 - 3*d**3 + 4*d**3).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21658 - 108288\/5. Which is the third smallest value? (a) 34\/5 (b) 0.1 (c) -1\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 434*k - 26557 + 16575 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18258*l**2 + 18058*l**2 - 36440*l**2.\nAnswer: -124*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1265.349 to the nearest ten.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/13)\/3*(-6500)\/1000.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/((-7)\/(63\/(-15)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 2 + 5 + sqrt(2448) - ((sqrt(2448) - (0 + sqrt(2448)) - sqrt(2448)) + 4)) + -3 + (sqrt(2448) + -1)*-5)**2.\nAnswer: -240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23580 divided by 786?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.951 - -0.049. Let h = 148.79528 - 84.79567. Let a = f - h. Round a to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*f**2 - 91*f - 1 + 125*f**2 + 58*f**2.\nAnswer: 38*f**2 - 91*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.047? (a) -0.102 (b) 5 (c) -778\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 33*g - 217. Calculate l(22).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 8*f + 54000 = 4*f. Which is bigger: -1995 or f?\nAnswer: -1995","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 2\/7, 188, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - a - 97, -5*t - 18 + 109 = -3*a. Solve 4*c + h = -2*h + 15, 3*c = 4*h - t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 + c + 19. Calculate l(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -3 + -6*sqrt(1539))*-1.\nAnswer: 3 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 + 136. Solve 0 = -12*d + 14*d + y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r - 126. Let v(h) = -2*h + 1. Let g(d) = -p(d) - 4*v(d). What is the remainder when 106 is divided by g(13)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 86, 87, 98, 125, 174, 251, 362?\n\"Answer: t**3 - t**2 - 3*t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.5, -7, 2\/3, -4, 1\/159?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 834 by 6.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 2*q**2 - 6*q + 3. Let h be l(3). Let w = 43 + h. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s - 73*s + 3*j - 35 = 0, 85 = 4*s + 3*j. Calculate the remainder when s is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7265314 times -0.4?\nAnswer: 0.29061256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/11 - 602*h**2\/11 + 45600*h\/11 - 45000\/11 = 0.\nAnswer: 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.122 - 49.878. Let v = a + 57. Let u = -3 + 2. Which is greater: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41493 + -40619. What is the remainder when m is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:08 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -313 + 311.49. Let v = 1 - -0.4. Let s = j + v. What is s rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*((-432)\/(-736) - (-18 - 7488\/(-414)))?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 134*z**2 - 2*z - 1. Let g be a(-1). Let j = g - 5. Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -32. Let z be ((-1)\/(-3))\/(2\/s). Let f(n) = 24*n. Let p(i) = -5*i + 175 - 175. What is z*f(g) + 14*p(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -159 - 110 - (97 + 0)) + 9 + 1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6395711880689\/8463 - 755726323. Let y = w - 2\/651. Factor 0*n**2 + 2\/13*n**3 - 12\/13 - y*n.\nAnswer: 2*(n - 3)*(n + 1)*(n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -2. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4276*s - 4343*s + 8491*s)*(4*s - 3*s + s).\nAnswer: -256*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y**2 - 7*y + 5. Suppose -4*x - 6*t - 23 = -t, 0 = 2*x - 4*t - 8. Let g(b) = 3*b**2 + 3*b. Let n be g(x). Is r(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 - ((189\/(-819) - 6\/(-26)) + 12). Let g be (-18)\/(-4) + 2\/4. Suppose -4*f = -0*f - 8. Solve -g*j = -4*h - 19, -z*j + f = -2*j + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31\/4 and 334 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 135. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 + 7 = 0. Let f be (-4 + 3)\/(-1)*2. Let p be 0 + (f - (-1 + -2)). Solve m*j = 4*b - 13 + p, -2*b = -3*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 0, -3*b - 2*w - 6 = -b. Let g(x) = -7*x**2 + 5*x. Let m be g(-6). Let l = m + 2823\/10. Which is bigger: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 157. Give s(-52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651328657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -53*x + 209. Give q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10006521 to the power of 1\/2, to the nearest integer?\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)\/(f\/(f*(f\/(f\/(((f*f**(-1)*f*f)\/f)\/f)))\/f)))**(2\/13)\/((f**(1\/3)\/f)**(-2\/51)*(f*f**(-1)*f*f)**(12\/7)) assuming f is positive.\nAnswer: f**(-73804\/13923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)**(-9)\/(u**(-1)*u)**(-3\/7))**27 assuming u is positive.\nAnswer: u**(-729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341110301 and 5553.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 19. Let d = 99 + f. Suppose 2*u - 106 = -3*k, 2*k + 5*u = d - 16. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 25*v - 10. Let w be r(7). Suppose -9*x + 4 + 5 = 0. Let p be 14 - (x - (0 + 2)). What is the greatest common divisor of w and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a (base 13) in base 16?\nAnswer: 21f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/293349 and -137\/34196112.\nAnswer: 239372784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 9 + 2*y + 5 - 4*y.\nAnswer: -2*y - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/36 and -67\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 4 - 1 - 4. Let o be ((-4)\/76)\/(-2 - 28\/(-12)). Which is the closest to 0.1? (a) o (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 191, -3?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) - sqrt(143)*1))*-4*3)\/(sqrt(22)\/sqrt(32)*5).\nAnswer: -48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29091891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 189522.234ns?\nAnswer: 0.000000002193544375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.3 + 12. Which is the nearest to -1\/4? (a) 6 (b) -2 (c) 0.3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29423 - 24503 = 205*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19799664 and 288.\nAnswer: 118797984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - 4) - (82 + -66 + -47)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-44 - -57) - 55\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6487.197658 and -20.\nAnswer: 6467.197658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*r + 44*r + 3. Let 0*h - r*h**2 + 367*h**4 + 0*h - 722*h**4 + 358*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 less than 0.21?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 2121289?\nAnswer: 2121289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 14. What is the remainder when 59 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5 + 564*m**4 - 25696*m**3 + 340320*m**2 + 1688000*m + 1800000 = 0. Calculate m.\nAnswer: -2, 45, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 - 6*u + 7. Let l(b) = 15*b**2 + 17*b - 20. Calculate 6*l(t) + 17*s(t).\nAnswer: 5*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2928, -11568, -25934, -46032, -71868, -103448?\n\"Answer: -n**3 - 2857*n**2 - 62*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9)\/(-24)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - 2*r**4 + r**3 + (2*r - 4*r + r)*(-r**3 + r**3 + 2*r**3) + 113 - 111 - 21*r**3 + 3*r**4 - 5*r**4.\nAnswer: -6*r**4 - 21*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (14 - 20)) + 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1015 = -n + 6*n. Let f be (4\/(-10))\/(3\/(-15)). Suppose -6*g = -3*q - 2*g + n, 137 = f*q - 3*g. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47 and 2162?\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2. Let v(n) be the third derivative of n**4\/24 + 19*n**3\/2 + 9*n**2 + 15*n. Calculate v(o(s)).\nAnswer: s**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - -45 - -37 - -117 - 5.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-8 + -2 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1328 and 159609?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 96059086*w**3 + 768945650919768*w**2 + 2051783575599191329440*w - 1025891980036020402048.\nAnswer: 2*(w + 8004924)**3*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207*m**4 + 6*m**3 - m**2 + 69*m - 6?\nAnswer: -4968*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1938*x - 5691 = 1931*x. Let r = x - 3253\/4. What is the biggest value in 0.6, r, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-1*4\/2). Let u(x) = 19 - 2*x - x**3 + 7*x**2 - 36 + 13. List the prime factors of u(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96272218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 16. Let d = u + -2.2. What is the nearest to d in 1\/5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*h - 34 = 0, 2 = 2*r + 4*h - 24. Suppose 2*i = -r*f + 184, 495 - 52 = 5*i - f. Let j = i - 52. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 112. Calculate the greatest common factor of 37 and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 5337766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 2) + 15 + 723. Let u = 964 - c. What is the remainder when u is divided by 55?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 11*l = 0. Let r = 7 + 3. Let v(c) = -r + 2*c**2 - c**2 + 0*c**2. Calculate v(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:13 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 129\/10 - (-40)\/(-1600)*56. Let v = -3 - 21. Let r be (v\/(-9))\/(4\/18). Is p < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1102120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203.2 - 203.201084. Round r to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7769067 litres in millilitres?\nAnswer: 776.9067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256922606*j + 256922606*j + 18*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000037478 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1591, -1589, -1587, -1585, -1583?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, 6, -4, 5, 36.\nAnswer: -216, -4, 5, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -24*q + 2. Let f(i) = -i + 5. Let h be f(3). Suppose 4*l + 22 = -2*c, -18 = 3*c + h*l + l. What are the prime factors of w(c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11854747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957703311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*x**2 + 673*x**2 - 1341*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.24 - -17.394. Let s = f + -0.154. Let k = -2 + -4. Sort s, 0.4, k in decreasing order.\nAnswer: 0.4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.78 - 217.78. Let n = d - -279.3. Round n to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l**3 - l**2 + 1. Suppose c + 3*c = -5*r - 31, -15 = 5*r. Let y = c + 3. Is v(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - l - 1. Let u(p) = 3*p**3 + 24*p**2 + 24*p + 18. Let n(o) = -15*c(o) - u(o). Find y such that n(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cumqwqs. Give prob of picking 1 m and 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/18486 and -1\/3555.\nAnswer: 92430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5 + 3138*l**4 + 2*l**3 - 3138*l**2 = 0.\nAnswer: -1, 0, 1, 1569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6 + 1059\/(-414). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -33. Let f be (-1)\/(-8) + 5982\/n. What is the highest common divisor of f and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1*(-10)\/8. Let w be 4\/54*27\/12. Which is the closest to 1\/3? (a) 2\/7 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534102 is divided by 1716?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -2\/29, -0.1282, 5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36670320 and 763965?\nAnswer: 36670320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(448)*-2)*-6)\/(sqrt(363) - -1*(sqrt(363) - sqrt(363)*-2) - (5*-1*sqrt(363) + sqrt(363) + sqrt(363))).\nAnswer: 3*sqrt(5)\/616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) 2\/15 (c) -4 (d) 6 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3433 - -6352?\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v - 12 = 0. Is (-2)\/v*(240 + 3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*y + 35. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -p + y, p - 5*y - 133 = 4*p. Let b(r) = -6*r - 2. Is b(p) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 9:43 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 c when three letters picked without replacement from dczddcdzdccdddddcddc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/20)\/y**(-9))\/(y**16*y*y)**(-31\/2) assuming y is positive.\nAnswer: y**(5759\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -2 - (411 - 405).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -19*t - 23*t - 1 + 61*t - 20*t. What is b(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14291910 and 28251?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71501423 and -11.\nAnswer: -786515653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*p + 5838 + 7485, w + p - 4443 = 0. Which is bigger: 4445 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + u - 18*u**2 + u - 17*u**2.\nAnswer: -22*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268 (base 15) to base 10.\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1226, 2532, 3852, 5192, 6558?\n\"Answer: v**3 + v**2 + 1296*v - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -846, -847, -848, -849?\n\"Answer: -u - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 + j + 1. Let o be q(2). Suppose -2 = o*g + 1. Which is the third biggest value? (a) 2 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g*g\/(g*g**(-2\/31))*g)\/g))\/(g*g*g*g**3)*(g*g*g\/(g\/g**3)*g)\/(g*g*g**9*g) assuming g is positive.\nAnswer: g**(-405\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) -113 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 9*t + 96 = 13*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -142 + -3123320?\nAnswer: -3123462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/5)\/((-18)\/333).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 a factor of 5642917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (1\/(-3))\/((-2 - 0)*12\/349416)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzlllll. What is prob of picking 2 z and 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100 (base 5) to base 8.\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-5 + -1)) + 1. Let d = 44 + -40. Solve b*t = 2*t + 2*w - 4, 0 = d*t - 5*w - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/8736 and -163\/74256?\nAnswer: 148512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 370373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**4 - a**3 - a**2 - 3*a. Let q(x) = 8*x**4 + 20*x**3 + 30*x**2 + 18*x. Let u(s) = 6*h(s) + q(s). Suppose u(k) = 0. What is k?\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 2. Suppose 5*s + 51 = 4*j, 3*j + 8 = 3*s + 44. Let t = h - j. What is the lowest common multiple of t and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174, -616, -1352, -2382, -3706, -5324?\n\"Answer: -147*p**2 - p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 8*t**2 - 9*t + 12. Let i(l) = l**3 + 6*l**2 - 8*l. Let o be i(-7). Let y be k(o). What is the biggest value in -3, -12, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -683*d. Let y(i) = 8*i**2 + 3*i + 6. Let a(t) = 6*t**2 + 2*t + 4. Let k(c) = -3*a(c) + 2*y(c). What is u(k(g))?\nAnswer: 1366*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i**2 + 56 - 47*i**2 + 25*i**3 - i - 199*i**2 + 186*i - 86 = 0.\nAnswer: 1\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -886 divided by 6\nAnswer: -443\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, p: 1, j: 3, t: 1}. What is prob of sequence jp?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318990?\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37751 rounded to 2 decimal places?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -76.53, -2.151, -7?\nAnswer: -2.151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16569125 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 4*x + 19. Give t(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 4680*g\/7 + 2737800\/7.\nAnswer: 2*(g + 1170)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 23*b + 66. Let i be y(0). Solve -i = -8*l - 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 3. Let g be z(-6). Let d be (8 - 25\/5) + -2 + 1. Determine s, given that s**2 - 4 - s**g + 4*s**3 - d*s**3 + 2*s**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 54*t**3 - t + 1. Let h be o(2). Suppose -4233 = -2*j - h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqkkkqkqkxkkkkxkxkq. What is prob of sequence qxxx?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 93*g - 1253. List the prime factors of o(42).\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:42 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1765 + -36a3?\nAnswer: -1a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.5 (b) 282 (c) -510\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 56083 = 20337. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j. Let f(w) = w - 1. Let x = 4581 + -4582. Give x*c(s) + 4*f(s).\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 3, 22, 59, 120, 211?\n\"Answer: t**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69153512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, q: 2, x: 2, o: 1}. Give prob of sequence xf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-154)\/(-44))\/(2\/28) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - f**2 - f + 2. Let t(g) = -18*g**3 + 2*g**2 + g - 108. Let z(y) = 2*k(y) + t(y). What is the first derivative of z(i) wrt i?\nAnswer: -66*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1139 by 563.\nAnswer: 1139\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 56054550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14884478 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*c + 8, -4 = -0*q + q - 2*c. Let i be (-2 + 101)*q\/(-12). Let n(m) = 183 + 203 - 353 + 57*m. Let p(u) = 7*u + 4. What is i*p(f) - 4*n(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**3 + 2*o**2 + o - 1. What is v(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1648045.7 days?\nAnswer: 235435.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2*c)**43\/((c\/((c*c**(-6\/5))\/c))\/(c*c\/(c\/c**(3\/8))*c)))\/(((c**(-1)*c)\/c)\/(c\/c**(1\/5))*c**(-1)\/(c**(-3\/8)*c)) assuming c is positive.\nAnswer: c**(663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 + 3*w**2 + 4*w + 3. Let b(h) = -3*h - 4*h**2 - 2*h**2 - 99*h**3 + 2*h + 100*h**3 + 5*h**2. Determine -4*b(u) - p(u).\nAnswer: u**3 + u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/(-4))\/((-3)\/(-4)). What is the highest common divisor of 126 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1245 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -8929.\nAnswer: 1\/8929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(1\/3)))\/m*m*m\/(m\/m**(-1\/5)))\/(((m*m**(2\/9))\/m)\/(m*m\/(m**(-1\/5)*m))) assuming m is positive.\nAnswer: m**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 15 = 3. Suppose -21 = -3*u - 4*y, -h*u - y = u - 28. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n**2 - 6*n - 4. Let r be c(-3). Which is smaller: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 9*c**2 - c + c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -19 + -1 + -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 6*q**2 + 3*q**2)*(-4*q + 3*q + 12*q).\nAnswer: 55*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(-7*6\/9)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.4 in -2, -0.6, -26?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 207, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 2. Suppose i - 3*w + u*w - 7 = 0, -i - 4*w = -6. What is the smallest common multiple of i and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -149. Let i = -1.11 + 0.11. Which is the biggest value? (a) i (b) 3\/5 (c) -0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124958.063 - 125047. Let c = 89 + u. What is c rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1702 + 3956. Let s be 2\/9 - n\/(-63). Calculate the greatest common factor of s and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*y**5\/7 - 5523*y**4 - 114948*y**3\/7 + 14028*y**2 - 2736*y\/7 = 0.\nAnswer: -38, -4, 0, 3\/104, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*h - 9844, 0 = -4*m + 2*h - 5803 - 4071. Is -2464 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*u + 7788 + 742, -u + 12795 = 3*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 44 + 4 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*g - 1558 = 1328 - 495 + 1335 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 + 6*a**2 - 3*a - 1. Let h(b) = 5*b + 11*b**2 - 2*b**3 - 8*b - 5*b**2 - b**3. Let t(q) = 3*h(q) - 2*r(q). Calculate t(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 26345920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3576 times 20\nAnswer: 71520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 + -0.29. Let o = -1.5 - -1. What is the second biggest value in o, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(2*sqrt(5)))**2 + sqrt(14)\/(sqrt(7) - sqrt(63)).\nAnswer: -sqrt(2)\/2 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366162, 366173, 366192, 366219, 366254, 366297?\nAnswer: 366348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 - 1. Let x be v(1). Suppose -y + x = g, g = -0*g + 2. Let j(o) = -8*o - 1. Determine j(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*u**2 + 664*u**3 - 1989*u**3 + 664*u**3 + 659*u**3 - 8 + 35.\nAnswer: -2*u**3 + 242*u**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 248462443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119, -135, -175, -251, -375, -559?\n\"Answer: -2*v**3 - 2*v - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 511 + -507. Let j(g) = 2*g - 6. Calculate the remainder when j(6) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w + 2040 - 2051, 2*m + 8 = -28*w - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**2. Let r(k) be the third derivative of -k**6\/360 - 28*k**3\/3 - 94*k**2. Let n(p) be the first derivative of r(p). Give n(f(z)).\nAnswer: -121*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 q when three letters picked without replacement from {q: 11, p: 1, z: 6}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -22. What is the third smallest value in c, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 657 or -10234?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6 + (0 - -1). Let w = -1.2 + 1.6. Let x = 8.55 - 8.57. Which is the second biggest value? (a) w (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5 + 943*a**3 + 2326*a - 7 wrt a?\nAnswer: -20*a**3 + 5658*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r - 8*r - 13*r - 15*r - 14*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122383*k**2 - 121*k + 171?\nAnswer: 244766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 186*i**5 - 3*i**4 - 3*i**3 + 105*i + 3. Let c(l) = l**5 - l**4 - l**3 + 1. Let n(q) = -3*c(q) + g(q). Find the second derivative of n(k) wrt k.\nAnswer: 3660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 6160. Suppose -3*h = 2*h - f. Suppose -28*v + 84 = -61*v + 36*v. Calculate the highest common factor of h and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 9*w - 48. Is h(-11) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 11*n**2 + 8*n - 13. Let t be x(-10). Suppose t + 3 = 5*a. Solve 4 = a*b - 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 + 3.21. Let m = 2.9 - w. Let s = -0.17 - -4.17. What is the closest to m in 1\/2, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -4\/7, 3\/7, -133\/222, -1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6015125*c**2*u - 3*c*u - 120343*c - 4*u wrt c.\nAnswer: 12030250*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1143955*n + 1. Give r(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 + 52478\/(-59180). Let t = f + 16\/269. What is the common denominator of t and -24\/55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -46, -158, -368, -706, -1202, -1886, -2788?\n\"Answer: -5*i**3 - 4*i**2 + 3*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 6*s**2 - 32*s + 78. Let v be z(-10). Put 4, 733, -0.1, v in descending order.\nAnswer: 733, 4, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8453974 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -r - 5*a + 10, -5*r = -a - 8. Suppose -r*z + 5*d + 10 = 3*z, -4 = -2*d. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 23*k**2 + 68*k + 488. Calculate the remainder when 527 is divided by b(-25).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/3312 and -61\/35604.\nAnswer: 142416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k**2 + 49. Calculate the remainder when w(0) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-28)*k**(-13) assuming k is positive.\nAnswer: k**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 4*y**3 - 12*y**2.\nAnswer: y**2*(y - 6)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2464911 - 4?\nAnswer: -2464915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*n - 15 + 5, 19 = 5*r - n. Differentiate 2*v**4 + r - 5*v**4 - 2 with respect to v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -n + 54360, -2 = 4*w - 14. What are the prime factors of n?\nAnswer: 3, 18119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2927d (base 16) to base 2\nAnswer: 101001001001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 23158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(243) - 2*sqrt(243)*-4) + 4 + -5 + -1*sqrt(243) + -3*sqrt(243)*-1)**2.\nAnswer: 396*sqrt(3) + 29407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -31, -65, -119, -199?\n\"Answer: -s**3 - s**2 - 10*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 - 269. Let o = -22 - x. Calculate the highest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 611238 divided by -3\nAnswer: -203746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 42*f**2 + 16*f - 2. Let a(g) = 53*g**2 + 18*g - 3. Let c(l) = -4*a(l) + 5*p(l). Suppose 14 + 10 = 4*w. Give c(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a = -4 - 28 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 - 54*y**3 - 112*y**3.\nAnswer: -175*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/12 - ((-28)\/(-182) + 1771\/1092*-69).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64338*s - 32167*s - 32171*s - 6596*s**2 - 2.\nAnswer: -6596*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5455600 rounded to the nearest 100000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-231)\/49 - -3)*(-14)\/1. Let v = -64 + 92. Suppose -v + 4 = -3*h. Calculate the highest common divisor of h and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 270.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 0*g)*(49 + 6*g**2 - 5*g - 57 + 2*g).\nAnswer: -6*g**3 + 3*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*g + 106*g = -5*l - 40, 4*l = -8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-135 - -149) - (63 - -2).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 - (-3)\/(-6)*0. Suppose -2*k - 2*k = -452. Suppose -k + a = -3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 22 = 7*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 - 4 - (5 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19541?\nAnswer: 19541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 6*d)*((2*d + 2*d - 6*d)*(2 - 3 - 1) + (-2*d + d + 4*d)*(-1 + 6 + 3)).\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41057, 83352, 125649, 167948?\n\"Answer: i**2 + 42292*i - 1236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let a(q) = -46*q - 1668. Let d(s) = 14*s + 557. Let p(m) = -2*a(m) - 7*d(m). Calculate p(c(v)).\nAnswer: 12*v**2 - 563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1207*u - 222083. What is h(-184)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 108 = 4*z, -4*z - 11 + 119 = 2*v. Suppose -18 = -3*h - 4*f + z, 6 = -2*f. Solve 4 = -5*o + h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 962\/3 - 318. Sort -0.3, g, 1\/6 in decreasing order.\nAnswer: g, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -60*b - 719. Let j be t(-12). Let d(o) = -o**3 - 10*o - 2. Let u(s) = s**3 - s - 1. Determine j*d(c) - 2*u(c).\nAnswer: -3*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(0 + 15 + 16)*(8 + 3*v - 8).\nAnswer: 93*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212328163?\nAnswer: 37, 5738599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 15, h: 5}. Give prob of sequence rh.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3764051300 to the nearest 1000000.\nAnswer: 3764000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7784*q**3 + 14381*q**2 + 2*q - 275841910.\nAnswer: 46704*q + 28762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39681, 158570, 356665, 633966, 990473, 1426186, 1941105?\nAnswer: 2535230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 1380 + 211. Calculate the lowest common multiple of a and 9.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -507.4 rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 2 - (sqrt(208) + 1)**2) + 2 + (sqrt(13) + sqrt(13) + -1)**2 + 5 + -1.\nAnswer: -148 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + (3*sqrt(950) - sqrt(950)) - sqrt(38)*-2*-6)\/(sqrt(98) + (sqrt(98)*3 - sqrt(98) - sqrt(98)) + 3*(sqrt(2) + 1*sqrt(2))).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62425162625 and 5?\nAnswer: 62425162620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 7)\/((-3)\/6). Let m be (2\/u)\/((-5)\/75). Let x(a) = 2*a + 3. What is x(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.1. Let y be (-2330)\/233 + 4 + (-159)\/(-27). What is the closest to -0.2 in 7, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7893026*j - 1 + 3 - 7893025*j + 0 - 4.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppfffdffddd. Give prob of sequence pd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10885 rounded to three dps?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -638.99, 5, -3, -1 in increasing order.\nAnswer: -638.99, -3, -1, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2440.005468 + -2440. Round c to four decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y + 456 = -37*y + 96*y - 46*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*k**2 - 178*k*q + 147*k + 3315595*q wrt k?\nAnswer: -46*k - 178*q + 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-74)*(-1)\/2. Let l = x + 174\/185. Suppose -2*c = -4*a - 182, -129 = -0*a + 3*a + c. What is the common denominator of l and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*a + 236*a = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3472638 is divided by 320?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) 1\/4 (c) 0.9 (d) 3054 (e) -2\/7 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 - 37. What is the remainder when p is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 23 - 37 = 0. Let v(s) = 9*s**3 - k*s**3 + 4 - s - 4 + s**2. Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91\/75 - -3\/25. Let g = 0.16 + -0.36. Sort 5, g, z in increasing order.\nAnswer: g, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 22*u - 13. Let r be p(10). Solve -l = 4*a - 22 + r, 6 = 3*a - l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 3*c**2 - 14*c - 29. Let v be s(-4). Suppose -4*y = k - 27, -v*k = 4*y - 15*k - 12. Solve 0 = -3*o + 4*q + 4, -3*q + y = -o + 2*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/8 and (1 - (-26)\/(-33))\/(96\/(-252)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 10:38 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -468.95 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 5*n**6\/6 + 4*n**3\/3 - 11. Find the third derivative of b(v) wrt v.\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 - -2)) + (-7 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2760 != 875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 571*h + 417*h + 906*h.\nAnswer: -2*h**2 + 1894*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7*s - 278 = -343, -5*r + 2*r + 5*s + 49 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let j(f) = 12236*f + 304. Let k(u) = 240*u + 6. Let x(z) = -3*j(z) + 152*k(z). Calculate x(r(g)).\nAnswer: 456*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, f: 11, t: 3, e: 1}. Give prob of picking 3 f and 1 t.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 14. Let x be -2 - -4*(2 - 0). What is the units digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 53038?\nAnswer: -31822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 8*z**2 + 2*z**2 + 8*z**2)*(1 - 1 - 2*z**2) to j + k*z**3 + y*z**2 + t*z**4 + x*z and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 + 17*g + 10. Determine l(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 2) to base 7\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 62. Let c be -2 - 64\/6*(-15)\/z. What is the greatest common factor of c and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((372\/(-27))\/4)\/(-2). Let d = u - 3\/2. Factor -d*r**2 - 2\/9*r**4 + 4\/9*r**3 + 0*r + 0.\nAnswer: -2*r**2*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 3*z**2 + 3*z + 4. Give r(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/139748 and -47\/124.\nAnswer: 139748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 7*h + 2*h)*(3*h**3 + 3*h**3 - 5*h**3) - 4*h**4 + h - h.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3729194762 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20268.2ml?\nAnswer: 20.2682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l + l + 1 - 2*l. Let r be c(3). Put 5, r, -2\/19 in descending order.\nAnswer: 5, -2\/19, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, 2, 26 in ascending order.\nAnswer: -12, -2, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 216, 324, 432, 540?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 19*r\/6 - 140.\nAnswer: (r - 40)*(r + 21)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001200368 to six decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from xxxxxxxxuxxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 12. Let n(g) = 5*g + 24. Let f(c) = -10*c - 47. Let w(m) = 2*f(m) + 5*n(m). What is the remainder when j is divided by w(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + u**3 - u**3)*(-2*u + 2 - 5*u - 5).\nAnswer: 7*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) + 306\/11. Suppose 3*m - 12 = -3*s, -4*m + 15 + 10 = -5*s. Suppose -f = -m*f + o. Solve 4*u - f = 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605423073 divided by 1553?\nAnswer: -389841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5985627, -11971346, -17957065, -23942784, -29928503?\n\"Answer: -5985719*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 5*s - 119 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/2)*y)**(-6\/17)\/(y\/(y*y*y\/y**(-3\/8)*y)*y\/(y*y*y*y**(6\/5))) assuming y is positive.\nAnswer: y**(5071\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*a**2 + 29*a**2 + 79*a**2 - a**2 + 28*a**2.\nAnswer: 194*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/3, 3\/10, -5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*j - 116 = -106*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/2 + (-18)\/12. Let i(f) = f**3 + 2*f - 3. Let o be i(g). Let x = o - -27. Calculate the remainder when x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9334?\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*38\/8*(3 - 1). Calculate the highest common factor of u and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:34 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12797 = -61*l - 17677 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/12 - 3*s**3\/2 - 5*s**2\/2 + s. What is f(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.19 (c) -1 (d) -0.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2010 + -302233121?\nAnswer: -302231111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 22, -0.3, -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-2) + 0)\/((-361)\/722)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-153)\/(-84) + 6\/14. Which is the second biggest value? (a) -2 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 1.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 18101*o + 253605. Determine x(-14).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 21312231320?\nAnswer: 21312231323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3917835?\nAnswer: 3, 5, 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 149*i**4 + 7*i**3 - 14*i - 31. Let k(r) = 149*r**4 + 6*r**3 - 12*r - 31. Let c(x) = -7*k(x) + 6*t(x). What is the first derivative of c(h) wrt h?\nAnswer: -596*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6372\/(-9558) + 160\/54 + -2?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-6)\/((-54)\/(-21)). Sort -3, -6, g in decreasing order.\nAnswer: g, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114210 (base 5) to base 16.\nAnswer: -10d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5, -28, -0.3, 11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.032 - -6.03190328. What is l rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwwfwwmsfmmwfw. Give prob of sequence ww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 2*a - 3. Let o(r) be the first derivative of -r**4\/2 + 5*r**3 - r**2 - 29*r + 16. Let x be o(7). Let n(p) = -p - 1. What is x*n(y) - 2*i(y)?\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:36 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -35, -50, -65, -80?\n\"Answer: -15*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03911 take away -1025822447?\nAnswer: 1025822446.96089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2 + 2 - 3*k. Let d(c) = -5*c - 6. Let p(r) = 6*r + 7. Let h(i) = -7*d(i) - 6*p(i). What is w(h(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(891) - (-2*sqrt(891) + -2)) + sqrt(891))**2.\nAnswer: 144*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1462 - 2517. Is (0 + u)*(-2)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -11*c**3 + 1514*c**2 - 960*c + 135. Calculate w(137).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 + 14\/6. List the prime factors of (-3)\/(m - 75\/36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539\/71825 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62478, -60289, -58002, -55569, -52942, -50073, -46914?\nAnswer: -43417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/7)*h**(-2)*h**(2\/9)\/(h**(-8)*h)*h**(-7)*(h**(3\/2)\/h)\/h*h\/h**(-3\/8)*h*h*h\/(h\/(h\/(h\/h**(3\/5)))) assuming h is positive.\nAnswer: h**(3557\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3600\/(-9))\/((-4)\/122). What is p rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 162*s - 971. Let g be y(6). Suppose 4*z = 3*v - 199 + 36, -v + z + 54 = 0. What is the first derivative of -11 + v*q - 29*q + g wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05764265 to four decimal places.\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 46\/(-10). Let x = z + 7. Let a = -2 - -2. Solve -x*y - 3*g - 1 = -a*y, -3*y = -4*g - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129999 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9499 + 3.9599. Which is the nearest to 0.06? (a) f (b) 4\/5 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2295535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*c**3 - 473034*c**2 - 946257*c - 473160.\nAnswer: 3*(c + 1)**2*(21*c - 157720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-9))\/((-6)\/(-27)). Solve 3*f - 1 = -b, -3*f - 12 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115058?\nAnswer: 2, 57529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32636187161\/577 - -56561864. Let x = -1\/1154 + j. Let m = -28107\/2330 - -38\/233. Calculate the common denominator of m and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3492\/30)\/(8\/300) + 11. Calculate the greatest common factor of 56 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30858058 is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 2*r**2 + r**3)*(-r + 1 - 1 + (-3*r + 0*r + 4*r)*(-5 + 2 + 2) - 3*r + 3*r - r) as j*r + p*r**4 + k*r**2 + z + a*r**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-2)\/6 - 3051. Let v be 1\/(-4) - c\/8. Suppose 0 = 3*k - 0*k - v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3757 divided by -6\nAnswer: -3757\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.209832 to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1235 divided by 13.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25604 - -25515. Let k be 6\/4*4\/(-6). Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1332 = -6*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253299.\nAnswer: 3, 23, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 33\/2. What is the nearest to -1 in 2\/11, 2, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 15 + 30)*(913*y**2 - 945*y**2 - 80*y + 85*y).\nAnswer: -1280*y**2 + 200*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 7*p + 41, -131*p - 3*v = -215*p + 89*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 7*y**2\/2 + y - 1. Let t = 31 - 29. Calculate the remainder when 44 is divided by a(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 775529, 775518, 775513, 775526, 775569, 775654, 775793, 775998?\nAnswer: 776281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 10*b**3 + 9*b**3 - 4*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54780 is divided by 13684?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -cc?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68250 = 40*t + 10*t. What are the prime factors of t\/78*348\/5?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + -4*((-6*sqrt(448)*-1)**2 + -3*(sqrt(448)*-2)**2).\nAnswer: -43004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:42 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 27*o - 16. Let g(q) = -31*q + 18. Let b(x) = 6*g(x) + 7*n(x). Let z(r) = -7*r + 9. Calculate -5*b(f) - 2*z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k - 42. Let r be i(15). Let z(s) = -5*s. Give z(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 18*u - 10*u + 119400 = 0. What are the prime factors of u?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2*w**3\/3 + 76. Let v(o) be the second derivative of 17*o**4\/12 + 2*o. Calculate a(v(s)).\nAnswer: 578*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2013 divided by -183.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 464339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(0 + 0 + b**2) + (4 - 4 - 2*b)*(-b - 3*b + 5*b) + 22379 - 22379 - 2*b**2 + 137*b in the form u + m*b + i*b**2 and give m.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a)**(-14)\/(a**(2\/5))**(-8\/15) assuming a is positive.\nAnswer: a**(1066\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1365 and 390?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.75500374 + -0.755. What is g rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 52. Determine x(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 3*o**2 + o + 2. Suppose 2*q + 2 = 16. Let f = 5 - q. What is the units digit of z(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o**2\/7 - 236*o\/7 + 48\/7 = 0.\nAnswer: -12, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/2)\/(3\/((3\/18)\/((-1819)\/(-963))))?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (12 + 0 + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f - 78 = 84*f - 4*r, -3*f - 63 = -3*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11120*d**2 - 33358*d**2 + 11121*d**2 + 11118*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/((-1)\/(-3)). Let n = -2 + c. Let o(l) = l**2 - l - 6. Let r be o(4). Solve -n*a = -r*a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 71048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18339678 and 819.\nAnswer: 238415814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0\/m*m)**(-2\/3)*(m\/((m\/m**(-1\/2))\/m))**(-8\/7) assuming m is positive.\nAnswer: m**(-26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13124 - -2?\nAnswer: 13131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -4*m - 5*u, 0 = -m - 0*m + 2*u - 13. Let k be -2*m\/12*2. What is the second derivative of 2*r**3 - 7*r**3 - k*r - r**3 wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15358\/(-48) + 9 + -5. Let f = -316 - n. Do f and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 43 + 7\/(-4 + -3). Let h = 391 - j. What are the prime factors of h?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28160903?\nAnswer: 28160903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2569 and -0.1674?\nAnswer: -430.0506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1140*r**2 + 123*r - 231. Let d(c) = 163*c**2 - 17*c + 33. Let l(w) = -27*d(w) - 4*t(w). Let p(x) = -10*x**2 + 2*x - 2. Give -2*l(n) - 33*p(n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/7, -3, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - -4*(sqrt(64)*5 - sqrt(64)))*-4)\/((sqrt(1800)*-6 - sqrt(50)) + sqrt(1250)*-1).\nAnswer: 136*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/18 - 2\/(-9). Suppose -23 - 33 = -28*l. Find p, given that -1\/2*p + 1\/2*p**3 - 1\/2*p**l + o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 - 4*u. Let v be w(6). Let b = v - 2602\/7. What is the nearest to 0 in -4\/3, b, 36?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z - 24. What is the lowest common multiple of g(-11) and 118?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + 6.95. Let u = -7.36 + a. Let p = -0.3643 - u. Round p to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13535 and 30.\nAnswer: 81210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - m + 1447 = 0, -4345 = -3*r - 3*m - m. Suppose -r = -0*j - 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 + 184. What is the remainder when 109 is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621032969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2 + -21.9306787?\nAnswer: -35.1306787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1584 = 25*p - 141. Calculate the remainder when 205 is divided by p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 5*c - 150 = 5*c. Suppose -2*y = -y - 12. Calculate the least common multiple of c and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72191*z**6 - 7*z**2 + z - 128.\nAnswer: 8662920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = -5*z + 214 - 74 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjof when four letters picked without replacement from ohhjhfjfofjhh?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -33*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - (-2)\/3. Let c = -1 - k. What is the units digit of c\/(2\/(-13)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 6*k + 6. Suppose a - 4*z = 0, -50 = 5*a + 4*z + z. Suppose 0 = -2*t - 5 + 9. Let q = t + a. What is i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 8*x = -3. Put x, 2, 5, 1 in ascending order.\nAnswer: x, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235990309 divided by 235990309?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/280948 and 63\/32?\nAnswer: 2247584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let j(k) = k**2 + 1. Let t(l) = 2*l**2 - l - 5. Let y(f) = 6*j(f) + t(f). Determine y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 8*c + 278, -64*l + 69*l + 2*c = 302. Calculate the smallest common multiple of 284 and l.\nAnswer: 8804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zkzkz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/4)\/x*x)\/((x**9*x)\/x))\/((x\/(x\/(x*x*x**3)*x)*x)\/x)**12 assuming x is positive.\nAnswer: x**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - (1 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aak when three letters picked without replacement from {n: 2, a: 7, k: 3}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:30 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*c**2 + 1540*c - 936.\nAnswer: 4*(c + 13)*(31*c - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 35 - 191. Let a be 2*(0 + v\/6). Suppose -5*i - 2*t + a = -0*t, 5*t + 17 = 4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25620 - -34303. Does 31 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174*t**3 - 243232*t**2 - 84988614*t + 9772020.\nAnswer: -2*(t + 699)**2*(87*t - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -475 - -0.019151772.\nAnswer: -474.980848228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383051?\nAnswer: 11, 216641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -2, -150, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 10 = -6*u. Let x be -5*(88\/(-20) + u). Put 1, x, -2 in ascending order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141053 - -4?\nAnswer: -141045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -17 + (15 - (-16 - -16)) - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.96 + 3.32. Let w = y + -1.3600472. Round w to six decimal places.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 4*g + 5. Let h(n) = -n**2 + 5*n - 5. Let o(r) = 3*b(r) + 4*h(r). Determine o(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 56*l**3 + 3*l**2 - 7*l - 6*l**3 + 0*l + 9*l**3.\nAnswer: -53*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20571\/(-9))\/(-3 + 1). Let f = x + -1129. Find the common denominator of f and -71\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*f - 19803 + 5182 - 4901 - 23738 = 0 for f.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1384610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 625 in -0.1, 1\/493, -0.3, -3, -0.2?\nAnswer: 1\/493","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 7*g**5\/130 - g**4\/12 + 2*g**3\/39 - 6*g**2. Suppose v(x) = 0. Calculate x.\nAnswer: 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, -13.729417 in increasing order.\nAnswer: -20, -13.729417, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124117787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Suppose 5*u - 1330 = 3*f, -1320 = -u - k*u + f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37\/5 or 6?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1549\/5196 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 242. Let l be (15 + -15)*(-2)\/(-8). Suppose 4*k - 5*p - 152 = -0*k, -2*k + 2*p + 76 = l. Is k less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -6*h + 675. Suppose -p = 3*p - 3*n - h, -15 = -p + 2*n. Let z = -67 + 148. Calculate the remainder when z is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10793*p + 258514. Give v(24).\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34984219035592.8 take away 0.3?\nAnswer: -34984219035593.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2520\/26880*16*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 167. What is the remainder when l(26) is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -167, -368, -649, -1010, -1451, -1972?\nAnswer: -2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2769 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 8*h - 21 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + -103. Solve -2*f = -2*i + 4*i - 4, -u*i - f = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - s + 0)*(3 + 2 + 7) to the form l + h*s and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104*f**2 - 4*f + 24?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 7*z - 5. Let m be 9\/(-2) - (-1)\/(-2). Sort 2, m, z, 3.\nAnswer: m, z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011101 (base 2) to base 11\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421832707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-700)\/56 + 20)*4\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 10*p - 14. Let j be v(-8). Let t be (-23 + 19)\/(0 + j\/(-11)). Calculate the greatest common divisor of t and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-6) - 17\/15 and -143\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*2*sqrt(78)*6)\/(sqrt(384) + ((-2*sqrt(384) - sqrt(384)) + sqrt(384) + sqrt(384))*-4 + sqrt(384)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6)*(-4)\/6. Suppose 2*z = -0*z - 4, -22 = -4*o - z. Suppose o*q - 45 = -3*q. Solve -q*j + t - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -17\/4. Let m = -18 - -16. Let w be m\/6*(-27)\/(-90). Which is the second biggest value? (a) t (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1350 = -4*v - 5*v. Let y be ((-2)\/v)\/(1\/6). Which is bigger: -0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 18*c**2 - 22*c + 38. Calculate r(-19).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-165)\/(-20))\/11)\/(8\/32). Solve 0 = 5*s - i, s - k*i = -i - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 108*y - 205. Let s be n(25). Which is the nearest to 25? (a) s (b) -3 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 380, 381, 382, 383?\n\"Answer: n + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 744 + 1?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 12*t - 5*t - j + 40 = 0, 6*j = 6 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 42*o - 321. Calculate the remainder when (14\/(-70) - (-1272)\/o) + -3 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 2858*w + 2858*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 0. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.55 - -36.7. Let x = i + 20.85. What is the biggest value in -2, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602076 a multiple of 1570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2359 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59\/5 - -423\/35. Let y = -6 + 3. Put -4, r, y in descending order.\nAnswer: r, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxcxxxx. What is prob of picking 4 x?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -13*f - 170. Let y = -9 - f. Calculate the greatest common factor of y and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2081682.\nAnswer: 2, 3, 109, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 30510*i - 764000.\nAnswer: 2*(i - 15280)*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17257209 and 10196.\nAnswer: 17267405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84802 by 549.\nAnswer: -84802\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*s**3 + 114*s**3 - 329*s**3 + 160*s**3.\nAnswer: 42*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 18. Suppose 3*a - a = 2*s - 50, 72 = 3*s - x*a. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, h: 2, q: 5}. What is prob of picking 1 h and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 9. Let l(y) be the third derivative of y**4\/12 + 5*y**3\/3 + 184*y**2. What is -3*k(g) - 2*l(g)?\nAnswer: 2*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5140541)\/(-126) - (-8)\/(-18))\/((-5)\/(-10)).\nAnswer: 5, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 3775?\nAnswer: 3775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19383 by 7.\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -80*c + 104*c. Suppose -3*f = 4*i - 68, 3*f - c*i + 3 - 79 = 0. Calculate the smallest common multiple of f and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 3\/(-6)*6. Let q be -3*1 + l + 12. Solve 0 = 5*v + 3*i - q, 0 = 3*v - i + 3*i - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 1, y: 3, e: 5, o: 1, g: 3}. What is prob of picking 2 e and 1 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3203 divide 190492019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*c + 1342*c = 18498 + 6549 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, 10*o - 5*o = -2*t. Is 22 a factor of (-378)\/(-6) + (3 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 68248 and -3.\nAnswer: 68245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 668 and 34270237.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 2469188.\nAnswer: 22222692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qgggq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -0.24, -497 in ascending order.\nAnswer: -497, -40, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. Let x = -0.46 + -0.04. Which is the closest to 0.2? (a) 2\/7 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113112 + -10?\nAnswer: -2113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Suppose 2*k + 3*g - 2 = 5, 3*g - 9 = 0. Let z(j) = -j - 1. Let m(f) = f**2 - 3*f - 2. Determine h*z(t) + k*m(t).\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0089948448 rounded to 5 dps?\nAnswer: -0.00899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*l**5*v + l**4*v**3 - 26*l**2*v**2 - 14*v**3 wrt l.\nAnswer: -15240*l**2*v + 24*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.582 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 6:24 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*d - 61*d + 378. Solve -19 = -2*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12249 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 13*j**2 - 17*j - 15. Let b(q) = 3*q**3 - 39*q**2 + 50*q + 45. Let s(i) = 2*b(i) + 7*z(i). What is the units digit of s(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 3. Let p(l) = 3*l - 6. Let f be (-32)\/2*6\/12. Let v(u) = -4*u + 9. Let n(i) = f*p(i) - 5*v(i). Calculate 2*b(z) + 3*n(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-8*12\/240*5)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 34\/3*j**3 + 0*j**2 + 4 - 33*j. Find the first derivative of c(t) wrt t.\nAnswer: 68*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320629367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1320*i**3 - i**2 + 9*i + 12. Let u be ((-39)\/12)\/(2\/(-8)). Let c be r(u). Round c to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0490630259995 from 2.4.\nAnswer: 2.3509369740005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*v - 8 = -0*t, -4*v = -5*t + 9. Suppose -t = l - 23. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.46*-0.00663\nAnswer: 0.0030498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/32091 and 38\/3.\nAnswer: 32091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 7 + 2*r**2 + 2*r - 10*r**2 - r**3. Let w be z(-9). Suppose 0 = 3*u - 2*a - 12, 3*a - 2*a = 0. Put -1\/4, u, w in descending order.\nAnswer: u, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -877*(4\/8*6)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 228*w**2 - 6264*w + 50544.\nAnswer: -2*(w - 78)*(w - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*((2*n - n + n)*(0 - 3 + 2) + 8*n - 10*n - 10*n).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8533 = -3*f + 4*k, -f = 2*k - 3*k - 2844. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1634389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2181 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(55)\/(sqrt(11) - (sqrt(11) - sqrt(11)*3)*-4) - ((sqrt(125) - (sqrt(125) + -4 + sqrt(125) + 3))*6)**2.\nAnswer: -4538 + 2519*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, 2\/5, 47\/3, 0.2 in descending order.\nAnswer: 19, 47\/3, 5, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 184f165?\nAnswer: 184f15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**3*t + 18*n**3*v - 3*n**2*t*v + 2*n**2*v - 169*t wrt v.\nAnswer: 18*n**3 - 3*n**2*t + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 2:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3 + 3*q**2 - 405*q wrt q.\nAnswer: -6*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 - 5*a**3*p**2 + 7*a**2*p**2 + 4*a*p**2 + 2*a - 12*p**2 wrt a.\nAnswer: 24*a**2 - 30*a*p**2 + 14*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278.2289 tonnes to nanograms.\nAnswer: 278228900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5208130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163877 is divided by 1076?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 422*z + 119*z + 4*z**2 + 373*z.\nAnswer: 2*z**2 + 914*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/22 - (-1 + (-91)\/(-77))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 3449411.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46547576?\nAnswer: 2, 167, 34841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j + 1 + 34*j + 4.\nAnswer: -j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -d?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 + -21898898.1.\nAnswer: -21898936.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and ((-48)\/(-30))\/(-4) + 34\/10?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**4 - 2*l**4 - 2*l**4)*(4*l - 2*l - 3*l) + l**2 + 2*l**5 - l**2 + (2*l**2 + l**2 - 2*l**2)*(l**2 - l**3 - l**2).\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r*r*r*r**2)**42\/((r\/r**1)**(-5\/7)*r**4*r**(-2\/7)) assuming r is positive.\nAnswer: r**(1444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Let q be (2 + 4\/(-2))\/2. What is the lowest common multiple of 2\/(-4)*q + 10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 60, 6971410*c + t = 6971406*c - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/63 and (-751)\/(-126) - 6\/27 - 5.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103013 (base 4) in base 16?\nAnswer: -4c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 + 5*g - 16. Let h = -469 - -466. Let v be l(h). Which is the third biggest value? (a) -0.3 (b) -3 (c) v (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-60)*16\/120*-10.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3730412 to the nearest integer?\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -122*c - 15. What is the hundreds digit of f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8220*p**3 - 1126*p wrt p.\nAnswer: -49320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 912 = -b - 2*b, l + 1544 = 5*b. Calculate the highest common factor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 11. Is 13 a factor of m\/6*(-52)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g\/g**1)\/(g**(-2)*g**(-1\/4)))\/((g\/(g**(-3)\/g)*((g*g**5\/g)\/g*g)\/g)\/(g**(-6\/5)*g**(-7\/2))) assuming g is positive.\nAnswer: g**(-229\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48757927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -45*n - 3 + 35*n**2 + 9 - 5 + 46*n. Suppose 2*j + j + 3 = 0. Calculate q(j).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-4)\/1 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 24*i - 378. Let y be p(-13). Let g(f) = -11*f - 3. Let x(l) = 21*l + 7. Calculate y*g(k) - 6*x(k).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 8:08 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 6*z. Suppose -2*m + 8400 = -z*m. Round m to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13283 or -13288?\nAnswer: -13288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10746*z + 10769*z - 21514*z - 14. Suppose 4*f = 4*r - r - 17, r - 3*f - 4 = 0. Calculate l(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(180)\/sqrt(3) - sqrt(60))*1 + sqrt(60))*-6*-2)\/((sqrt(108) + sqrt(108)*-2*-6)*1).\nAnswer: 4*sqrt(5)\/13 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 45 - 5 = 0. Let w be (5\/2)\/((-5)\/s). Suppose -3*v = 2*v - 15. Solve -v - 7 = -w*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*s + 15 = 0, -3*k - 2*k - s + 10 = 0. What is the tens digit of (k\/2)\/(7\/672)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 3*k + 4. Let q(p) = 2*p**2 + 4*p + 5. Let n = 33 - 31. Give n*q(r) - 3*b(r).\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 108*t + 451. Let j be q(4). Let w(z) = z**2. Let a(b) = -5*b**2 + 2*b + 13. Give j*w(r) + a(r).\nAnswer: -2*r**2 + 2*r + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 163 - 163 - 1079*b + 358*b - 3*b**3 + 356*b + 365*b.\nAnswer: -3*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 952, 889, 734, 445, -20, -703, -1646, -2891?\n\"Answer: -7*l**3 - 4*l**2 - 2*l + 965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 79*y**2 - 124*y - 140. What is x(-2)?\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - t - 197966. Let q(j) = -41*j - 2. Determine s(q(g)).\nAnswer: 3362*g**2 + 369*g - 197956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 184, 1259, 4182, 9877, 19268, 33279, 52834?\n\"Answer: 154*f**3 - 3*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40896129 and 334?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*o**2 + 4*d**2*o**2 - 383390*d**2*o - 5*d*o**2 + 6*d*o - d + 2*o**2 + 1738*o - 1 wrt d.\nAnswer: -12*d*o**2 + 8*o**2 - 766780*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 2*s**3 + 869567 + 842240.\nAnswer: s**3 + 1711807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10 = i - 0*i, q + 8 = 2*i. Is (-9051)\/(-49) - q\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1973, 3853, 5731, 7607?\n\"Answer: -g**2 + 1883*g + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3187540 and 188.\nAnswer: 3187540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 197 = -4*s, 4*s - p - 195 = 4*p. Let l be 554\/10 - 20\/s. Factor 59*i - l*i + 4*i**2 + i**2 - 1.\nAnswer: (i + 1)*(5*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (0 - -3) - (-54)\/(-6). Let b be r - (5 - 12) - 2. Determine g so that -2\/5*g**3 + 0*g**4 + 1\/5*g + 1\/5*g**5 + b + 0*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257436276?\nAnswer: 2, 3, 31, 151, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 12*o + 5*o + 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407.401775 - 0.018225. Let z = a + 411. What is z rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1040*c - 12678*c - 18007*c - 9936*c + 752*c.\nAnswer: -38829*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2736))*2 - (sqrt(76) + 2*sqrt(76) + sqrt(19) - (2 + sqrt(171)))**2.\nAnswer: -308 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324246 (base 8) in base 13?\nAnswer: 3a634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20412)\/24)\/(-63)*3*12\/(-27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 1.25 (c) -5\/2 (d) 1 (e) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1423478847797 + -4.\nAnswer: 1423478847793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.9 + 17. Let r = 3.9 + y. Which is the nearest to 0? (a) 2\/11 (b) r (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28*2*4\/4. Suppose -53*z = -d*z + 2757. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7543920 = 8*j + 39*j - 1946367. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from jgsfgkiig?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.1 + 6. Which is the nearest to i? (a) -2 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + (-14 - (-30 + 22) - -32) + 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 1319. Let d(r) = 16*r - 23. Calculate t(d(m)).\nAnswer: -512*m**2 + 1472*m + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 47 = 19*d, 123347*d - 123349*d + 3*n = -38 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/45 - 82456\/9)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1664 + -1659. Which is the closest to 0? (a) -2\/9 (b) p (c) -20 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415 - 271. Calculate the greatest common divisor of 32 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89830?\nAnswer: 2, 5, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552437155*l**4 - 240513608*l wrt l.\nAnswer: 6629245860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2517897921 to the nearest integer?\nAnswer: 50179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13036432 divided by 352336?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3bed6 - 14?\nAnswer: 3bec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -1 - (1 - 7). Let u = -2 - w. Let f(o) = -o**3 - 5*o**2 - 2*o - 5. Let l be f(u). Solve 3*x - 2*p - 12 = 0, 2*x + l*p = 2*p - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6593301 millennia?\nAnswer: 6.593301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**6\/3 - n**2 + 4. What is the second derivative of q(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310645383?\nAnswer: 3, 19, 23, 211, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28148249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7798 by -7798.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 13. Let i be s(-9). Suppose -4*q + 6*q = -2*x + 14, x + i = 0. Suppose 11*m + 1069 = q*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3245835769 to the nearest integer?\nAnswer: 56972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3611 divided by 147?\nAnswer: 3611\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.04 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.6849? (a) -1\/7 (b) 3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223840 is divided by 3199.\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 27 = q. What is the remainder when 21 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 267. Suppose 3*p + c = 7*p. Suppose -6*x + p = -x + 2*w, x = -3*w + 20. Solve 0 = -x*t - y + 18, 9*t - 4*t - y = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, -62, -0.1, 0.4, -190?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3271640?\nAnswer: 2, 5, 89, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 36959.\nAnswer: -23\/36959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 + 2*k**2 - 3*k + 1. Let v be d(1). Let s(a) = -2*a + 2*a - v*a + 4*a - 4. Calculate s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - m + 5. Let r(l) = 4*l**2 - 2*l + 9. Let b = -62 - -58. What is b*r(c) + 7*g(c)?\nAnswer: -2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i + 18. Let y(k) = -k. Let u be (83 + -79)*(-2)\/(-4). What is u*y(a) - j(a)?\nAnswer: 2*a - 18","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n**3 + 6*n**2 + 12*n + 2. Let r be i(-4). Suppose -r = -5*m - 0*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, w: 3}. Give prob of sequence vx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*b + 20. Find the second derivative of b*l**3 - 262 + 262 + 6*l + 0*l**3 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4732963 micrometers?\nAnswer: 473.2963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.07 - 0.07. Let x = -1147\/4516 + 9\/2258. Which is the biggest value? (a) n (b) x (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102\/23 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836, -834, -830, -824?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 - 24*x**2 - x - 6. Let z(i) = -7*i**3 + 49*i**2 + 2*i + 11. Give -11*p(u) - 6*z(u).\nAnswer: -2*u**3 - 30*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 - 5*v - 2. Let x(k) = 4*k**3 + 12*k**2 - 20*k - 9. Let y(i) = -9*o(i) + 2*x(i). Let u(s) = s**3 + 2*s**2 - 4*s. Give -3*u(q) - 2*y(q).\nAnswer: -q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = 0. Solve 0*a + 2*a + 8 = x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofp when three letters picked without replacement from yyfioopfiyiypou?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 374 and 17.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/608 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6071\/3149 + 123\/94. Let z = 221\/300 + 267\/25. What is the common denominator of z and q?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t - 468 = 45*t - 33*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (17 - 11) + -15 + (-1 - -3) + 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w - 268. Let i be f(-16). Let v(y) = -y**2 - 6*y + 12. Let b be v(-8). Put b, -2, -47, i in ascending order.\nAnswer: -47, b, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/6, 5, -2\/685?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -18. Suppose 5*f - p = -8. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.2, 2\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/102 and -77\/405756.\nAnswer: 405756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 53*g - 676. Let o(t) = t**2 - 186*t - 987. Let v be o(-5). Calculate j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 36*d + 44*d + 3 - 4 + 34*d. Is o(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from yytcyytltt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(975)*1)\/(sqrt(9)\/sqrt(3)*4))**2.\nAnswer: 325\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17643 + -17646. Which is the closest to -0.16? (a) -1 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-222)\/481 + (-696)\/520.\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -155713 + -11?\nAnswer: -155724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*f - 15, -2*y - 23 = -3*f - 33. Solve -y*x = 2*q + 17, -14 - 9 = -2*q + 3*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -155102337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50554 and 2254?\nAnswer: 353878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1300) - (sqrt(1300) - 4*(sqrt(1300) - (sqrt(1300) + 0)))) + 5 + sqrt(1300)*-1 + 5)*-6*-4)**2.\nAnswer: -460800*sqrt(13) + 3225600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6942990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 4 (b) -76.5 (c) -4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85.66 - 83.66. What is the closest to 4281 in 4, 3, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -5*w**3\/3 + 3*w**2 - 21. Suppose q - 22 = 3*b, -5 = -b + 2*q - 19. Let m(o) = 4*o**2 - 5*o. Give b*m(r) - 5*c(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.07. Let v = 0.46 + g. Let t be 52\/24 + (-1)\/6. Sort t, -2\/11, v in decreasing order.\nAnswer: t, v, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -5. Let m = 34.822 + -30.822. What is the closest to a in -1\/7, m, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/643, 0.295, 19\/3.\nAnswer: -1\/643, 0.295, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102935160 a multiple of 1818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:57 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2639)\/(-5423) - (-7)\/119\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015478425 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 307583444 and 307583444.\nAnswer: 307583444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130707, 130706, 130705, 130704, 130703, 130702?\nAnswer: 130701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5946, 11893, 17840, 23787, 29734, 35681?\n\"Answer: 5947*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2 + 16*a - 9*a**2 - a**2 - a**3 + 5*a - 7*a**2 - 3*a. Determine j(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (2030\/18 - 1). Let a = -110 + o. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2535, -18163, -60577, -143169, -279331, -482455?\nAnswer: -765933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**2\/2 + 5*j + 165. Let l(g) = -2*g + 14. What is -3*l(p) + 8*q(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 15}. Give prob of sequence pn.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1786 or -1797?\nAnswer: -1786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/1 + -1 + -2. What is the smallest common multiple of 35 and (10 + k)\/(6*(-6)\/(-36))?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-135)\/(-18) - 1\/2. Let m = 3 - 3. Suppose m*j + j + q - 2 = 0, -20 = 5*q. Solve -3*i + 6 = 4*r, -5*r - j*i = -2*i - f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -3\/17, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/(-40))\/((-34)\/14 - -2). Which is smaller: f or -1\/37?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49374.\nAnswer: 2, 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8432750, -16865502, -25298252, -33731000?\nAnswer: -42163746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-2\/11)*g**(-6\/5)*g*(g\/((g**(-1\/3)\/g)\/g))\/g*g\/(g**1*g*g)*g*g\/(g**(2\/7)*g)*g*(g\/(g\/(g\/(g*g**5))))\/g*g*g*g**1*g*g assuming g is positive.\nAnswer: g**(1189\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -14 + 27 + -20 - (-48 - 2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5969360.15828 - -4997575.358366. Let u = p + 971784. Let v = u + 0.8. What is v rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 h, and 1 j when four letters picked without replacement from {h: 2, x: 2, j: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3)*2)**2*-3 + ((sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(4))**2 + sqrt(18)\/sqrt(24).\nAnswer: -99 + 121*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 5) to base 6.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 34 = -5*z + 8*s, -3*s = -3*z + 21. Let g be (-2 + -2)\/((-4)\/6). Suppose 0 = -3*i + z*i - g. Solve 3 = -5*q - i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 16 + 52. Let w be (-4 + -1)*l\/10. Let y be (-3 + w - 2) + -3. Solve -8 = 3*b + y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10 - (18\/(-3) + (-294)\/(-12)) and 91\/710.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14916.6 rounded to the nearest one hundred?\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578, 649, 704, 737, 742, 713, 644?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74921*j**6 - 542*j**2 - 12*j wrt j.\nAnswer: -8990520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2446 + 36674\/15. Calculate the common denominator of t and 64\/1235.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15837876 (base 10) in base 7?\nAnswer: 251422365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - a)*(0 + 1 + 0) - 21*a - 48*a + 14*a - 155*a.\nAnswer: -209*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 71*q**2 + 474*q - 173. List the prime factors of v(-59).\nAnswer: 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 56442468?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -192193, -192191, -192189?\n\"Answer: 2*s - 192195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156023)\/20132)\/((-62)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.007, -10\/13.\nAnswer: -10\/13, -0.007, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*m**2*v - 2*d*m*v**2 + 199*d*m*v + 83*m**2*v**2 - 5*m*v**2 with respect to d.\nAnswer: m**2*v - 2*m*v**2 + 199*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -670689*j*t**2*v + j*v + 7124*t**2*v - 2*t**2 + 54*v wrt j.\nAnswer: -670689*t**2*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 35*k - 2. Calculate the remainder when x(1) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 8*x, b + 0*b = 3*b + x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s**0)\/s))**21)**(-3\/2)\/(((s*s**(-2\/5)\/s)\/s)**(1\/24)\/(s*s*s**(-2\/5))**(-1)) assuming s is positive.\nAnswer: s**(-37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 111*g**2 - 2022*g - 130476. Give r(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.2 (c) -32317 (d) -3 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 76. Let p be c(15). Suppose -9*a + p*a - 600 = 0. What is the highest common factor of a and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -460 = -489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**3 + 0*p**3)*(3*p**2 - 6*p**2 + 2*p**2) + (-3*p**3 + 7*p**3 - 11*p**3)*(-p + p**2 + p) + 24 - 6*p**5 - 24.\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 774 - 1548 + 410*m + 774 as p*m + d and give p.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41625 and -7.\nAnswer: -291375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**3\/3 + 18*x**2 - 34*x - 58. Let c be z(35). Solve -5*p - 7 = -r, -c = 2*p - 2*r - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -657329, -2629337, -5916017, -10517369, -16433393?\n\"Answer: -657336*c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**4*l**2 + i**4 - i*l**2 - 185*l**2 with respect to i.\nAnswer: -20*i**3*l**2 + 4*i**3 - l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 5*t + 1. Let l be u(4). Solve 0 = a - l*f + 20, a - f = -4*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 1. Let h(s) = -8*s. Let x(o) = -12*o. Let k(p) = -7*h(p) + 5*x(p). Let l(d) = 4*k(d) + 3*u(d). Determine l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -74255*a - 1205. Let x be z(9). What is x rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012023433 (base 5) to base 6.\nAnswer: 222034532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 - 8. Let r be t(4). List the prime factors of r\/(-4 - (-1 - 2)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -357.77 - -361. Round g to one dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.9. Let y = 0 + 8. Let z = 7.6 - y. Sort x, -2, z in decreasing order.\nAnswer: x, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6001475211*f + 1 - 6001475211*f + 16*f**3.\nAnswer: 16*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 925358 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41468?\nAnswer: 2, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 153\/(-85)*(-40)\/6*(-5)\/(-20). Put 0, -10, -5, c, 4 in descending order.\nAnswer: 4, c, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - r - 79 - 9 = 3*r, 2*l - 590 = 32*r - 36 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2414*o + 2414*o + 326*o**3.\nAnswer: 326*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**2. Let q(v) = -59*v**2 - 6*v + 3. Let s(k) = -102*k**2 - 10*k + 5. Let d(i) = -5*q(i) + 3*s(i). Calculate u(d(b)).\nAnswer: 726*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -215, -408, -601, -794, -987?\n\"Answer: -193*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = b + 2*s + 11, -s = -2*b + 7. Sort -1, 0, b, 9.\nAnswer: -1, 0, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4018?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 + 77*t**4 + 71*t**3 - 377*t**2 + 228*t.\nAnswer: t*(t - 1)**2*(t + 3)*(t + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12026283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - 32. What are the prime factors of (f\/64)\/(2\/(-136))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:24 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, 3 in decreasing order.\nAnswer: 20, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 187 = -b - 190, b - 18 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 11*x - 9. Give i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -36*y**2 + 288*y - 524. Determine u(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/132 - 2\/33. Suppose -4*u - 12 = 0, -3*c - 3*u + 39 = -6*u. Put c, -3, g in descending order.\nAnswer: c, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 7\/2 (c) -3 (d) 39 (e) -2\/7 (f) -1\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svsshsvsshvvhhvsssvs. What is prob of sequence ssv?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.946705m to centimeters.\nAnswer: 694.6705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 644\/(-1804) - 5320\/(-11704)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:30 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 1 = -3*z + 4*i, 3 = -5*z + 2*i. Let p(v) = -2*v + 4. Let x be p(-3). Solve 2*f + x = 0, 2*f - z = 2*b + f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 465*z + 894 wrt z.\nAnswer: 465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52036 and 216?\nAnswer: 2809944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2351 + -2306. Calculate the highest common divisor of t and 2490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:20 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - y + 9, -256*c + 52894*y = 52890*y + 280 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*g + 20. Let l be 15\/(-6) - 2\/(-4). Let j be (8\/10)\/(l\/(-10)). Solve 5 = 5*f - 4*p - 8, g*f + j*p = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.93 + 7. Let z = s - -2.93. Let p = z - 3. Sort p, -2\/11, -3 in decreasing order.\nAnswer: p, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + 1 - sqrt(1200))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168468 by 1.\nAnswer: 168468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 3*l**2 + 22*l - 4. Let c be o(5). Suppose -8 = 6*t - c. Solve g = t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 35*l = 396. Calculate the highest common divisor of 4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 52 - 12 = 0. Calculate the highest common factor of y and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 + 270 + -4 + 2 + -5 + (4 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.97 + -11.9697275. What is p rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + 0 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 56 = -25*k + 28*k + 13*n, -5 = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 186 = 22*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 9, -16071 in decreasing order.\nAnswer: 22, 9, -16071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 27 = -4*w, 4 = 2*w + c + 1. Suppose 3*t = w*b + 26490000, 5*t = b - 4*b - 26490000. What is b rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 28 + 0 = 0. Suppose 5*x - 2 + w = 0. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10137998 less than -10138014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Let r be ((-1)\/(-3))\/(12\/(-27)). Which is the nearest to r? (a) -0.2 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2421281a + 1?\nAnswer: -24212819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -38, -0.3, 1 in increasing order.\nAnswer: -38, -0.3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12967 - -13228. Suppose 0*c = c - m + 110, 3*c + 3*m + 354 = 0. Let h = c + z. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 0, 18, 42?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w - 2656 + 142656. Suppose -10*f + 2230 = -w. List the prime factors of f.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6968577mm in centimeters?\nAnswer: 0.06968577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 2. Let f(a) = a**3 - a**2 - 6*a + 11. Determine 11*d(s) - 2*f(s).\nAnswer: -2*s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/28*(((-4400)\/(-154))\/25)\/(10\/315).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 282 - 285. Let i be ((-64)\/560)\/(((-234)\/(-15))\/u). Is 0 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 50, 1.\nAnswer: -5, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -162, 1468\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -4 (c) -2 (d) 296\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 4 (b) -3\/7 (c) 997767\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*l - 229*l - 202*l + 692*l.\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 2056 = 2*p + 10*r, -3*p = r - 3082. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 38 + 1 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -886 minus -1.4?\nAnswer: -884.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s. Let j(x) be the third derivative of -95*x**4\/24 - 21*x**2 - 7*x. Determine j(c(z)).\nAnswer: -380*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12096\/384*36\/(-81)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2409\/33)\/219*(-450)\/3?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*v, -1 = 4*v + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-12) - 2080\/(-6). What is the third derivative of -3*d**2 - v - 10*d**6 + 347 wrt d?\nAnswer: -1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose f*u = -4*u + 28. Suppose 2*g - 33 = -u. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 27*d + 10. Let t(g) = g**2 - 14*g + 5. Let v(b) = 11*t(b) - 6*w(b). Let q be v(6). Suppose 0 = 3*u - 2 - q. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 5\/2)*8 - -68. Let s be (-33)\/(-4) + (-1)\/4. What is the greatest common factor of s and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 165363?\nAnswer: 992178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*n + 25, -3 = -4*a + n - 8. Suppose -3*x + 0*x + 15 = a, -49 = -2*r + x. Let i = 29 + r. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q - 5*q + 2*x, 26 = q + 5*x. Let c(f) = 12*f**3 - 2*f**2 + 3*f + 1. Let g be c(2). Let z be (-48)\/g + 7\/(35\/2). Is z at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**5\/5 - 169*z**4\/2 + z**3\/3 - 774*z - 4987. Find the third derivative of r(a) wrt a.\nAnswer: 72*a - 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661128 to the power of 1\/2, to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1775 - 93?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*s + 45, 5*m = -3*s - 5 + 45. Suppose m*c + 165 = 8*c. What is the greatest common factor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1174045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -61\/4 (b) 0 (c) 1478 (d) 2 (e) 19 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 3, o: 2, c: 9, p: 3}. What is prob of picking 2 c and 2 o?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 26 = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 23*p - 10. Let h be s(-11). Let l = h - -126. Suppose 5*v = -0*z + 2*z - 81, 2*v + l = 3*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -3987265?\nAnswer: 1594906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from xsssisnxssi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 12*l + 29. Give v(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 227841 - -5?\nAnswer: 227846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*r**4 - 2*r**2 + 18*r - 11780.\nAnswer: 136*r**3 - 4*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17582 + 17580. Let o = -0.06 - -4.06. Sort o, g, -12.\nAnswer: -12, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(20)\/sqrt(4))**2 + (sqrt(245)*1)**2) + 4.\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 4*x**2 + 8*x + 8. Let g be z(-6). Let u be (-2)\/7 - (-1)\/((-14)\/318). Let w = u + g. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by -5.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26131?\nAnswer: 7, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/6 - 5*r**2\/2 + 3*r. Let q be o(6). Solve -u = -q - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 7*w + 9. Let u be g(4). Suppose 10*b = u*b + 25. Solve 0 = -5*i - 4*r + 9, -4*r = -0*i - b*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c + 92*c - 126 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 815642256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**3 - 7*m**2 - 33. Let k(t) = 4*t**3 - 6*t**2 - 33. Give -7*k(l) + 6*x(l).\nAnswer: 2*l**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjebbn. What is prob of picking 1 b and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27385522 or 27385528?\nAnswer: 27385522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 185*z**6\/24 - 1615*z**4\/8 - 915*z**2. Find the second derivative of g(m) wrt m.\nAnswer: 5550*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:49 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 124832471773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 164, -3, 0 in ascending order.\nAnswer: -4, -3, 0, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldpl when four letters picked without replacement from {d: 4, l: 12, p: 2, i: 2}.\nAnswer: 44\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 5 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbhvbbvbh. What is prob of sequence vh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386286540?\nAnswer: 2, 5, 11, 113, 95989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 2*x - 2*x. Let k(u) be the second derivative of -29*u**3\/6 - 256*u. What is m(k(l))?\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 0, -25 - 25 = -3*b + 4*r. Suppose -4*i + 10 = -3*i. What is the remainder when b is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + k**4 + 14 + 20*k**2 - 5*k**3 + 4*k**3 - 5 as n + x*k + d*k**3 + r*k**2 + i*k**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dco when three letters picked without replacement from {c: 5, n: 2, t: 4, d: 2, r: 4, o: 2}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 31295099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156360520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/12 + o**2\/2 - o. Let b(y) = -7*y**2 - 6. Let z = -17 + 6. Let q = z + 5. What is q*l(w) - b(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 455 - 453. Suppose 5*y - 11 = 9. Suppose 5*k - 9 = -3*n, -y*k + 13 = 5*n - 2. Solve -z*u - 12 = h - 5*u, -u - n = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/8 - 2*h**2. Let b(l) = 1. Let z(s) = -s - 5. Let w(r) = -5*b(r) - z(r). Determine w(q(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1256*u + 3 - 2483*u + 8 + 1237*u. Let w be (-1 + 0)\/(-1)*9. What are the prime factors of s(w)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 2*c**2 + 2*c**2 + (4 - 2 + 0)*(-1 + 1 + 2*c**2) + c**2 - 2*c**2 - c**2 + 2*c**2 - c**2 + c**2 - 15*c + 6 + 17*c + 52*c**2 - 46*c**2.\nAnswer: 11*c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -10*x + 9. Suppose -x*c = 2 - 17. Solve -c*a = -a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 - 58.6.\nAnswer: -193.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**3 + 3*i**2\/2 - 15. Factor s(m).\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = 4. Suppose -3*w + 2*r + 695 = 0, 5*w - x*w - r - 463 = 0. Suppose -l - 2*l = -w. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/28 and 59\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14925*j*w**4 - 7*j*w**3 + 4*j + w**4 + w**3 + 9*w**2 - 9979*w wrt w?\nAnswer: -358200*j*w - 42*j + 24*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-132)\/(-9) + 0 + -4. Let r = 233\/11 + -677\/33. Factor -c - r*u**2 - 16\/3*u.\nAnswer: -2*(u + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -0.1, 0.02 in decreasing order.\nAnswer: 0.02, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 88 - 3*v + 42.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.2 - 44.2311. Let g = 0.0689 - y. Sort -0.6, -3, g, 7.\nAnswer: -3, -0.6, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -35387, -9.\nAnswer: -35387, -9, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*s + 298*s + 318*s = -330 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 5*p**2 + p**2)*((-2 - 6*p + 2)*(49*p - 10*p**2 - 49*p) + (-10*p + 9*p + 10*p)*(-5*p**2 + 2*p**2 + 4*p**2)).\nAnswer: -69*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**2 + 38*j + 319. What is the hundreds digit of u(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/20, 0.4, -28, -1501?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4474*2.\nAnswer: -8948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 11) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**2 + 12*x**2 - 35*x**2 as t*x**2 + c*x + g and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.4946 + 0.0154. Round a to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3554318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b - 2*b**2 + 3*b + 3*b**2 - 3*b + (b + 1 - 1)*(2*b - 4*b + 0*b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**3\/3 + 3*j**2\/2 - j - 119. What is b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - w - 77 = -0*w, -3*x = 4*w - 82. What is the highest common divisor of x and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 75. Let y(q) = -211*q - 6. What is r(y(v))?\nAnswer: -633*v - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 12*c + 685. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -100. Suppose -v*k - 110 = -13*k. Sort -2, k, -5, 2.\nAnswer: -5, -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -288*m**2 + 288*m + 25*m**2 - 482*m wrt m?\nAnswer: -526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 8:12 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 195401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = -23. What is the remainder when 34 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*t - 24, -325*t = -4*c - 324*t + 38. Solve -73 = c*k - 64 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354857 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384 is divided by 55*(39\/(-5) + 9)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -61*r**4\/24 - r**3\/2 - 3*r**2. Is s(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -21*r**4\/16 + 27*r**3\/4 - 12*r**2 + 9*r - 1002. Determine t so that c(t) = 0.\nAnswer: 6\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453.5 <= 9.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**3 + j**2 - 3*j + 1853. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221401 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -155045696 divided by 77522848\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 4*j**3\/3 + 16. Let i(l) = -15*l. Calculate z(i(d)).\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 + 2*c. Give o(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**47 assuming l is positive.\nAnswer: l**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 13*x**2 - 61*x + 20. Let q be w(-16). Is -3 - 1260*(q\/30)\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4313880*b*f**3 - b*f**2 - b*f - 1369552*f**2 wrt f?\nAnswer: 25883280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-25)*(-60)\/(-28).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (9\/(-3) - -3). Suppose -l + u = 2*l. Let t(v) = 6900*v**3 - v**2 + 2*v - 1. Let q be t(l). Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 times -2\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(0*v + 2*v + 0*v) + 19*v - 12*v + 12*v - 2*v - v + 4*v + v - 3*v + 4*v + (-6 + 2 + 2)*(2*v - 2*v + 2*v) + 2 - 2 - 2*v + v - v + v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 18*b**2 - 560*b - 5370. Give a(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*-3.984\nAnswer: -1.83264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.36 + -2.04. Let t = k + 9.49. What is the nearest to 0 in 1, 2\/15, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -953746 < -953642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (10 - (6 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361802, 361801, 361790, 361763, 361714, 361637, 361526, 361375?\nAnswer: 361178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 1, d: 1, y: 3, s: 5}. Give prob of sequence jsd.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 14665092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -158? (a) 18 (b) -2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxwgxdag. Give prob of picking 1 w and 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22964671*m**4*t + m**2*t**2 + 4*m - 429*t**2 + 536*t + 4 wrt m.\nAnswer: -275576052*m**2*t + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 24262.9.\nAnswer: 97051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*5*4\/(-20). Determine t so that 0 - 1\/2*t - f*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Let y be -1 + 2 - (n - -2). Let h(x) = -242363*x**2 + x + 242361*x**2 - 4 + 5. What is h(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -481, -1300, -2893, -5518?\nAnswer: -9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:16 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 2*w**2 - 2*w**2)*(-4*w**2 + 4*w**2 - w**2) - 9*w**4 - 2*w**4 + 5*w**4 - 14*w**4 - 3*w**4 + 3*w**4.\nAnswer: -21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137.22 - -137.22. What is the nearest to j in -4, 0.3, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 2051131?\nAnswer: -2051132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -1. Let p = -786.6 - -786.4. Sort p, l, -2\/5 in increasing order.\nAnswer: -2\/5, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - o + 14, 0 = -h + 2*o - 6 - 7. Let d = 29 - h. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((0 + sqrt(19))**2*-3 + -5)*3 + -5 + sqrt(19)*2 + sqrt(19) + 3 + 4).\nAnswer: -736 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.6 from 76.\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 11*t - x + 4, 2 = -2*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63\/8 - 465\/56. Which is the nearest to -0.2? (a) 0.5 (b) 6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157 - 155. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204081386\/77 - -2650455. Let g = i - 471\/11. Find y such that -g*y - 24\/7 + 6\/7*y**2 = 0.\nAnswer: -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 16*b**2 - 24*b + 27. Determine o(-15).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f + 14 - 3*f - 13)*(9 - 3*f - 9).\nAnswer: -15*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b - 7. Let z(q) = -q**3 + 5*q**2 + 7*q + 136. Let c be z(8). Calculate a(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t**5 - 17120*t**4 + 2868375*t**3 + 21524660*t**2 + 4190060*t = 0.\nAnswer: -7, -1\/5, 0, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 7:48 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37\/21 + -10\/7. What is the closest to u in 4, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/7 + 62535346*d**2 = 0.\nAnswer: -218873711, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 10*m + 12. What is the tens digit of b(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 2*d + 2. Let z(l) = -10*l**2 + 11*l. Let s(t) = -10*t**2 + 11*t - 2. Let y(p) = -5*s(p) + 6*z(p). Calculate -11*u(n) + 2*y(n).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -10*t + 944. Let h = -891\/2 + t. What is the common denominator of h and 115\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.07 - 0.07. What is the nearest to 2 in 0.04, -4, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:55 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2635 = 487*q + 1434*q + 51153 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -341758 divided by 4?\nAnswer: -170879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 156.5. Sort w, -2\/21, -3 in decreasing order.\nAnswer: -2\/21, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 3*t + 4*t as d + h*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118 in 1094, 10\/3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164534 - 29265 = 3521*j - 54865 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -0*s - 2*s, -k = s - 5. Suppose -s*v + 60 = 3*v. Let h be (-7)\/(-5) + 6\/v. What is the highest common factor of h and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from aauw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 2)\/((6 + -13)\/(-7)). Suppose 3*m = 4*m - 1. What is the highest common divisor of m and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 21. Let m = 1 + r. Let g = -998 - -998.1. Which is the nearest to 0? (a) g (b) m (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -22 (b) 463 (c) -10 (d) 2\/9 (e) -2\/3 (f) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126160 by 16.\nAnswer: 7885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120417310309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:44 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1639764 and -115\/993402?\nAnswer: 375505956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*o = 0, -5*p + 33*o = 28*o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (25 - 65 - -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 356298937 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 1, -4, -21, -56, -115, -204?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12344984, -24689979, -37034974, -49379969?\n\"Answer: -12344995*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052451 to five decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609865 is divided by 1552.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06493*-24.92.\nAnswer: 1.6180556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 728 - 673. Suppose t*r = 56*r - 63. Solve 61*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 756 and 96495.\nAnswer: 3473820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.55259 litres?\nAnswer: 552.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*g - 40 = 0, -4*z - 3*g = -6*g - 80. Suppose 4*a - z = -0*a. Let t be -40994 + (2 - a) + -3. What is t rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1165373\/32 + -36421. Find the common denominator of (-3916)\/168 + (-71)\/(-497) and h.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111001110111010110110111 + 10?\nAnswer: 100100111001110111010110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 38*k**2 + 238*k + 60. Let r be f(30). Put r, 0.06, 0.1, 3\/7 in ascending order.\nAnswer: r, 0.06, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186766000199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13425 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5770 divided by 4.\nAnswer: 2885\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**3 + 4*x**3 - 2*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 57. What is b(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + a**2 - a**2 + (-6255*a + 4 - 6 + 6190*a)*(-a + a + 2*a**3) to the form g*a + w*a**3 + j*a**2 + u*a**4 + l and give u.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 3\/8, -13?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8568)\/(-90))\/34)\/((-2)\/(-25))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 10. Let u(d) = 258*d - 28. Determine 3*o(l) - u(l).\nAnswer: -261*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(3\/(-18)*-1). Suppose 2761 = 4*u - 3*m, -w*u + 0*m + 2070 = -3*m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 81291749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*y - 159, 132 + 135 = 5*g + 3*y. Let u be g\/15 + (-4)\/(-10). Put 1, -8, u in decreasing order.\nAnswer: u, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 73 + (1\/1 - 2). Let v be m\/5 - (-6)\/10. Solve -3*q + v = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2978 - -127.9804.\nAnswer: -2850.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3139 - 746 = 3*o. Let z = 28401\/22 + o. What is the common denominator of z and -85\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 220*g - 1050.\nAnswer: -2*(g - 105)*(g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 7 - 1. Let j be h*1 - (2 + -6). Is j > 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.02, -231, -6 in increasing order.\nAnswer: -231, -6, 2.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.468 plus 443?\nAnswer: 119.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a factor of 1030941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*c + 4*c. Suppose 0 = -3*o + 34 - c. Is 24 a factor of 16\/3*9\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117570774*d**3*g + 22*d**2*g + d**2 - d*g + 109*d + g wrt d.\nAnswer: -705424644*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 17.97 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 4)*(0*f**3 - 3*f**3 + 4*f**3) + 2*f**3 - 4*f**3 + f**3)*(0*f - 4*f + 2*f).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12504 = -290*l + 811*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16847248 (base 9) in base 8?\nAnswer: 40251650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 6*b**3 - 15*b + 16*b - 1 - 3 + 2. Let l be u(1). What is the greatest common divisor of 133 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1a7 - -12?\nAnswer: -b195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**3*q**3 + 1587*m**3*q - 19*m**3 - 3*m**2*q - 160925*q**3 - 5*q wrt m?\nAnswer: 18*q**3 + 9522*q - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - y = 5*a, -2*y = a - 10. Let j(t) be the third derivative of t**6\/120 - t**5\/30 + t**4\/24 + 11*t**2. Let l be j(a). Solve -5 = l*k + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/18))**(-16)\/(c*c*c**0*c*c)**22)**47 assuming c is positive.\nAnswer: c**(-36848\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 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: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 550946867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1049 - 0.1049464. What is h rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79902.6 centuries in millennia?\nAnswer: 7990.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15886 and 790582?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x - 30. Let b be r(-12). Suppose -26 = 2*i - b. Suppose i*o - 29*o = 1503. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -6 - (33 - 11 - -17)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164873951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**(-6\/13)*q)*q*q*q**15*q**(3\/8)\/(q*q\/q**(-10)) assuming q is positive.\nAnswer: q**(711\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/12141 - 1250579\/339948. Let g = 24\/7 + p. Let u = 0.8 - -3.2. What is the biggest value in u, g, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106322269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156)*3 - sqrt(156) - sqrt(156)))*-4 - sqrt(156))\/(sqrt(432)*1).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toq when three letters picked without replacement from tqoqbt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/16*4\/(-45). What is the nearest to -2 in l, 5\/4, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/7 - 4066*m**3\/7 + m**2\/7 + 4066*m\/7 = 0.\nAnswer: -4066, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 8*f + 5. Let h be a(-8). Suppose 7*p = h*p. Let q(l) = -l**2 + 102. What is the units digit of q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2 + 10*y + 8 + 16*y + 4*y - 25*y. Suppose -3*a = -0*a + 18. Give o(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 228349.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*a**2*y**4 + 3*a**2*y**2 - 533*a*y**5 - 938*y**2 + 2*y wrt y?\nAnswer: 312*a**2*y - 31980*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 19 = 16 - 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 + 12\/(-15). Let k = 6643 - 112933\/17. What is the closest to k in d, -2, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -701, 0, 4, -46 in ascending order.\nAnswer: -701, -46, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -8.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + -6 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 10*u = -4*g - 68, 24 = u - g. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/84*(-2)\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 27 = 3*h, -3*p + 5*h = -0*h - 29. Suppose -5*n = -48*n - 129. Sort p, n, 5 in decreasing order.\nAnswer: 5, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b + 3. Determine j(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 190*z - 216*z + 409*z.\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137532 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6460 - -6460.01. What is the nearest to -0.48 in v, 2, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.2 + 8.8. Let u = v - 65.06. Let m = 0.06 + u. Is 0.3 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**15*t*t**(-1\/6)*t**(-2\/9))\/((t\/((t**(1\/4)\/t)\/t))**(-38)*(t*t**5*t)\/(t*t*t**(-1))) assuming t is positive.\nAnswer: t**(1919\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(80) + 2 - sqrt(80))*-5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37126960 divided by -15080.\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**2 - 2*y**2 - 2*y**3 + 13*y**3 + 11*y wrt y?\nAnswer: 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1050\/20)\/(-15)*(1 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849, 846, 843, 840, 837?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -399*h**3 + 77*h**2 + 35. Let c(j) = 2*j**2 + 1. What is -35*c(n) + d(n)?\nAnswer: -399*n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56 or 7710\/139?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 at least 1432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(44\/8) - -3. Suppose -3130 = m*y - 10515. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x + 11. Suppose -3*f - 20 = 2*f - 5*q, 3*q = -f + 12. What is the tens digit of b(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*q + 2008*q - 389*q - 569*q - 353*q - 810*q.\nAnswer: -680*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51105 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*q - 181 wrt q.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -17*r**5\/12 - 641*r**3\/6 - 661*r**2. What is the derivative of y(k) wrt k?\nAnswer: -170*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8456529 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 1615084*w\/5 - 6460368\/5.\nAnswer: 2*(w - 4)*(w + 807546)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11 - 2 - 770*b + 772*b. Let a(m) = -2*m - 12. Let u(o) = 2*a(o) + 3*h(o). Give u(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - 25\/(-10)*-2. Suppose 5*b + 1210 = 5*y, -10*y + 238 = -9*y - i*b. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56920 is divided by 187.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/4 + (3 - 1). Let d be 4\/(-10) + (-46)\/10. Put d, -3, m in increasing order.\nAnswer: d, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329286, 659050, 988814?\nAnswer: 1318578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15164 - 77a?\nAnswer: -15900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5891 + 5894. Sort -8, f, -112 in decreasing order.\nAnswer: f, -8, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/3 - 778*r\/3 - 16948 = 0?\nAnswer: -57, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -4, 3 in increasing order.\nAnswer: -4, 3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.564 - -1.5639241. What is p rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*o - 6 = 0, o = -2*o - 6. Let q(g) = g**3 + g**m - g**2 + 3*g**3. Let a = 1916 + -1910. Let l(j) = j**3. Determine a*q(t) - 22*l(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 78195?\nAnswer: 469170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 324, 650, 988, 1344, 1724, 2134, 2580?\n\"Answer: i**3 + 319*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*o - 2)*((1 - 3 + 4)*(-o + 5*o - 2*o) - 2*o - 2*o + 3*o + 0*o + 0*o + o)*(319 - 55 - 145).\nAnswer: -1428*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 + s. Let a(n) = 239*n**4 - 15*n**2 + 5*n. Let j(f) = a(f) - 2*g(f). What is the third derivative of j(c) wrt c?\nAnswer: 5736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 7*c**2 + 6. Let u be i(7). Let w(k) = -k**2 + 6*k + 3. Let n be w(u). Let o**2 + n*o - o + 5*o - 5*o = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 89, 72, 7, -130, -363?\n\"Answer: -4*y**3 + 11*y + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(-2*sqrt(180) + sqrt(180)) + 5)**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 75, -3, 0, 13 in increasing order.\nAnswer: -3, -1, 0, 13, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*w - 1270 = 3910 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**2 + 0*s**2 + 9*s**2 - 7*s**2.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -297*h**7\/14 - 17*h**3\/6 + h**2\/2 - 3*h - 73. What is the second derivative of r(n) wrt n?\nAnswer: -17820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 28, 34?\n\"Answer: 6*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 1336*k**2 + 27615*k.\nAnswer: k*(k - 1315)*(k - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4796500.\nAnswer: 2, 5, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2897.578575 - 2897.8. Round x to three decimal places.\nAnswer: -0.221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 317 + -294. Solve -8*h + 1 = -u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 1 (c) 0.4 (d) -4548 (e) 0 (f) -1\/6 (g) 7.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*i**5 - 8710*c**3*i**4 - 17*c**3 - 514*i**2 + 2*i wrt i.\nAnswer: -240*c**3*i**2 - 209040*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 12*z**2 - 65*z - 1039. Determine v(-13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-25) + (-2 + 1 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-102))\/(7\/(-56)*-10)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -9*v + 4*v + 3*w, -3*w + 15 = 4*v. Let t(x) = 0*x**2 + 7*x**2 - 16*x**2 + v*x**2. Let n(k) = 66*k**2. Give t(n(a)).\nAnswer: -13068*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1364 and 390852?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 648 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 divided by -9.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*m + 302*m + 1122*m**3 - 102*m - 99*m.\nAnswer: 1122*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -146714?\nAnswer: -146718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*w + 386, -151 = w + w - 5*a. What are the prime factors of ((-4)\/(-2) - w)*(-24)\/(-16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4113 - -160444\/39. Calculate the common denominator of (-2828)\/(-1560) + 12\/78 and h.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z - z + 6*z)*(-31 - 32 - 26)*(3*z**3 + 2*z**3 - 4*z**3)*(3 - 2 + 0) + z**2 - z**4 - z**2 in the form q*z**3 + d*z**4 + g*z + a*z**2 + c and give d.\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 184181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 119*x**2 + x + 1. Let a(z) = -2*z**2 + 35 - z**3 + 2*z**3 - z - 34. Let l be a(2). Is o(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 1551 - 12816. Let n = u - 670. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 4*j = -8*v - 7, 5*v = -4*j - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -26. Put r, -7, -5 in descending order.\nAnswer: r, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246038255 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -6 (b) 0.6 (c) 0 (d) -5 (e) 0.014 (f) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 92*t**2 - 89*t - 76. What is u(45)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 12 = -8*x. Solve 0 = -2*z + x*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1305 + 761 + 859)*(-3*f + 3*f - 2*f) + (0 + 1 + 0)*(-f + f + f) + 0*f - 2*f + 3*f - 2*f - 2*f + 3*f.\nAnswer: -629*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 19 = -119. Let t(q) = -15*q - 2. Calculate the remainder when t(-4) is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + v**3 - v**3)*((0 - 3 - 2)*(11*v - 2 + 2) + 0 + 0 - v).\nAnswer: -112*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.12 * 632\nAnswer: -707.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Let h = -3 + i. Let b(t) = 4*t**2. Let v(g) = -g**2 - g. Let j(m) = h*b(m) + 2*v(m). Factor j(r).\nAnswer: 2*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {l: 2, b: 1, f: 8, h: 1, j: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-32)\/(-10))\/(13\/(-65)). Let l = w - -19. Find the first derivative of -308 + 18*p**3 + 14*p**l + 310 wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*20\/12*3\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 at most as big as 1810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 7 = -3*g - 9, 5*f = -5*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -207637*y - 15988053. What is q(-77)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -145, 1, 790, 4, -5 in ascending order.\nAnswer: -145, -5, 1, 2, 4, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:58 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 715105585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 26*t**5\/15 + 23*t**4\/24 - 19*t**3\/3 - 2030*t**2 + 2. What is the second derivative of v(y) wrt y?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 2, k: 2, d: 7}. Give prob of picking 1 k and 1 x.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*n = 87, -2*f + 5*n + 40 = 2*f. Suppose 11*b - 9*b = -642. Let o = b - -363. What is the remainder when o is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63b44110 - -3?\nAnswer: -63b4410a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 + 5 = 0. Suppose -5*t + 9 = 3*d, 4*t = -d + 3*t + i. Let f be (1\/1)\/((-2)\/(-10)). Put f, d, -3 in increasing order.\nAnswer: -3, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1015*c + 8122. What is r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/12 - (-2)\/(-3))*-8. Does 28 divide 1 + 1359\/15 + n\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7072.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 2*m + 1. Let o be (-3)\/2 + (-1)\/2. Let l be q(o). Solve l + 1 = 2*w - 5*i, 0 = i + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -14*m + 387. Calculate the remainder when 104 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5.1, 3, 1, 2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (108\/(4 - 1))\/(-17) and (-1)\/5*4545\/(-54)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3842392 and 1576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccw when three letters picked without replacement from wfycycececccceyyww.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -11\/4, -0.3, -0.5, -10, 1229, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1398 and -49\/233?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1710*t + 1482*t + 3 - 3 - 4866*t + 1673*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, 5, 3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + 0 + sqrt(1088) - (sqrt(1088) + 0 + -3)))**2 - (sqrt(1088)*3 + 2 + 1*(-3*sqrt(1088) - sqrt(1088))).\nAnswer: 8*sqrt(17) + 439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 164 = -94*s. Solve -3 = h - 3*d, s*h + 5*d = -2 + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 830382656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 56*v - 53*v - 2346, -4*v - t + 3116 = 0. What is the remainder when v is divided by 183?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 125 - -1030?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 78.80891ng?\nAnswer: 0.00000000000007880891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*n + 22 = -136*n. Let g be -6 + (11\/n - (-25)\/2). Let c(l) = -l + 3*l - 8 - 2*l**2 - 4*l**2 + l**3. What is c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2, 288*x - 285*x = -i + 25. Let q(g) = -g + 4. Let l be q(6). Let d be 1 - (-2 - (l + 3)). What is the highest common factor of x and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55\/261 - 8228\/1827. Calculate the common denominator of 19\/5897 and u.\nAnswer: 41279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20670 + -8722. Let y be (-1)\/(-2) - 119584\/(-10). Let r = v - y. Find the common denominator of r and -77\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -540*n + 7599. Let s be t(14). Let z be (-316)\/(-2) + (-1 - 1). What is the highest common factor of s and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.89769 <= 0.403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - -6. Suppose -27 = -2*f + f + 5*a, 3*a + m = 3*f. Suppose 3*x = f*x + 19. Is 20 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {k: 1, f: 2, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 271494109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6366 - 1476907\/232. Let y = -14107\/2088 - x. Calculate the common denominator of -15\/13 and y.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348597645*n**3*z**2 + 3*n**2*z**2 - 20*n**2*z - 1503*n**2 + 3*n*z**2 + 16*z wrt n.\nAnswer: -2091585870*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*32\/(-80) - 2. Sort g, 5, -1976 in decreasing order.\nAnswer: 5, g, -1976","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 + 2*p)*(-3*p + 2*p - 5*p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*5*sqrt(180) - (-4 + (3 + sqrt(320))*5).\nAnswer: -12 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 6. Let z be f(6). Suppose r = -3*i + 19, -r - z + 30 = 4*i. Solve 2*l = l - p, i*p = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t = -13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 3, b: 3, z: 1, x: 2}. What is prob of picking 1 b, 1 f, and 1 q?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(405)*5*4)\/(-4*4*(sqrt(90) - (sqrt(90)*-2 + sqrt(90) + sqrt(90)))\/sqrt(10)))**2.\nAnswer: 1125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 191, 395, 689, 1079, 1571?\nAnswer: 2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/220 and -117\/1870?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39\/220 - -1\/44. Let y be 51\/(-72) - 2\/(-6). Sort 4, y, n in decreasing order.\nAnswer: 4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m - 95*m + 4*h - 4 = 0, -4*m + 5*h = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71704 and 4266388?\nAnswer: 8532776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922884376.\nAnswer: 2, 7, 37, 883, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284678413.\nAnswer: 17, 29, 97, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:56 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:51 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + -232. Let a = s + 101. Solve 3*o + a = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36795 is divided by 7229?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*-5)\/((-4)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4283, -428, -3, -4 in descending order.\nAnswer: -3, -4, -428, -4283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**36)**(1\/28) assuming d is positive.\nAnswer: d**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369 by -9.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2. Let h(y) = 5863*y**2 - 1383*y. What is h(x(t))?\nAnswer: 52767*t**4 - 4149*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 129329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(800) - (5 + sqrt(800) + -1)) + 1 + sqrt(800) + -5 + 5 + 5)*-2)**2.\nAnswer: 480*sqrt(2) + 3236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*r - 2, -12*d + 5*r + 14 = -11*d. Which is the third biggest value? (a) d (b) -4\/7 (c) 1.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**4 + 95*d**3 + 236*d**2 + 103*d - 42 = 0. Calculate d.\nAnswer: -21, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/18 and -139\/2736?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.18656 years in millennia?\nAnswer: 0.07618656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 994046 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*k**2 + 11*k**2 - 53*k**3 + 2 + 54*k**3 + (-2*k**2 + 0*k**2 - k**2)*(-2*k - 2*k + 3*k) as c*k**2 + p + a*k + z*k**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3510\/(-78))\/(-45)*(-45)\/10*488\/18\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689436 divided by 6?\nAnswer: 114906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 - 8*y - 9. Let l be k(9). Let b = 332\/3 + -108. What is x in -2\/3*x**3 + 0*x + 0 - b*x**5 + 10\/3*x**4 + l*x**2 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.04 + 0.2?\nAnswer: 211.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 28*h**2 - 29*h + 79. Give q(27).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1350511 (base 6) to base 8.\nAnswer: -225553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 1350. Let d = 3 + -3. Let z be n(d). Round z to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*z**4 + 159*z**2 + 2*z + 9466 with respect to z.\nAnswer: -564*z**3 + 318*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -40*i - 43*i + 82*i + 44, -3*i = 5*w - 182 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -3\/5 (c) 692 (d) 4\/7 (e) -4 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*l. Let j(v) = v + 14. Calculate the remainder when 25 is divided by j(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2 - 122*y + 46*y + 69*y. Let f = -86 - -84. Determine z(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 347594?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193 - 109. Let m = 390 + b. What is the greatest common factor of 132 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1856720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 68. Solve x - 3 = k - 5, 0 = 5*k + p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f - 4. What is b(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 964499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12) - (-3 + (-32)\/(-12)). Let j = l + 6449. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.364268 milliseconds in minutes?\nAnswer: 0.0000227378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 5*a**2 - 2*a + 4. Let s be y(-4). Calculate the remainder when -4*(s\/(-16) + 3) is divided by (-2)\/(-3)*9\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 12:07 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 - 5*u**3 + 9*u**3)*(-u - 5*u - 6*u)*(-3 - 5 - 4)*(2 - 2 + 1) as p*u**3 + j*u**2 + c*u + x + v*u**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2154 (base 6) to base 4\nAnswer: -13312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**6\/180 - w**5\/30 - 52*w**3 - 84. Let p(s) be the third derivative of l(s). Factor p(d).\nAnswer: 2*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1)\/(16\/112).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44255150 + 4?\nAnswer: 44255154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1194 and 49782.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3478*m**4 - 438*m**3 - 15427297*m**2 wrt m?\nAnswer: -83472*m - 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*g = 7, 4 = 3*t - 3*g - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 410338, 1641397, 3693168, 6565657, 10258870, 14772813, 20107492?\n\"Answer: l**3 + 410350*l**2 + 2*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 5*k + k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-1\/18)*v))**(-2\/11)\/(v**(-2\/77)*v**(-13\/4)) assuming v is positive.\nAnswer: v**(9613\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2750*j**2 + 7420*j - 36. Let a(t) = -1099*t**2 - 2968*t + 15. Let i(l) = -12*a(l) - 5*y(l). Find the second derivative of i(c) wrt c.\nAnswer: -1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -3843.5\nAnswer: 768.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128146 is divided by 24455?\nAnswer: 5871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 5*j - 1. What is x(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -74. Suppose 0 = f*m - 623 - 501. Round m to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-15 - (-1 + -9)). Suppose 77 = -3*f + 527. Find the third derivative of -150*r**4 + f*r**4 + 7*r**5 - 20*r**k - 3*r**2 wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 13 + 7 = 0. Factor -2*t + 5*t + 0*t**p - t**3 + 2*t**2.\nAnswer: -t*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 2, -155694 in decreasing order.\nAnswer: 83, 2, -155694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(-5\/7))\/h))**(-48) assuming h is positive.\nAnswer: h**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 117. Solve d*c = 22 - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1687*c**2 + 417*c + 3 wrt c.\nAnswer: 3374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27*(45 + 68 + -114)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g = -3*w + 24*g - 90, -1 - 33 + 7 = 2*w + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18 + -34.18. Sort -0.4, -1\/2, -5, h.\nAnswer: h, -5, -1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242*z**4 - 5*z**5 - 242*z**4 + 8*z wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 6, 14\/5, 15, 1.7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 266433169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**8\/21 - 2*r**4\/3 - 11*r**2. Find the second derivative of q(w) wrt w.\nAnswer: -320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-4)*(-3)\/6. Solve d = -3*n + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055271795 to the power of 1\/2, to the nearest integer?\nAnswer: 32485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 3, 5, -32, -5 in descending order.\nAnswer: 37, 5, 3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -h, -2*h - 14 = -2*l - 0*l. Suppose l*k = -2*d + 75, 4*k = -2*d + 5*d - 55. What is the highest common factor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 7, e: 3, x: 1, m: 3, n: 1}. What is prob of picking 1 i, 1 t, 1 x, and 1 e?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8414, -9368, -10322, -11276, -12230, -13184?\n\"Answer: -954*k - 7460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -e3?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**2 - 9. Let f(m) = 13*m**2 + m + 17. Let o(c) = 6*f(c) + 11*x(c). Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 5 = 0. Let f(t) = t**2 + 7*t - 5. Let w be f(-7). Sort -2, w, h in descending order.\nAnswer: h, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, s: 1, f: 1, t: 1, m: 1}. What is prob of picking 2 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.137 - -0.047. Let z = 1.91 - f. Let d = 5.5 - 5.7. Which is the nearest to -1? (a) z (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 2, a: 2}. Give prob of sequence aj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 6, h: 3, y: 2, z: 1}. Give prob of sequence zlyh.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctctctc. What is prob of sequence cccc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14.4 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 24*j + 93. Give m(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 16547813\nAnswer: 16547813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from {q: 9, u: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f + 20*f + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57998056?\nAnswer: 2, 43, 168599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16861.\nAnswer: 13, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(11*d + 7 - 7)*(-2 + 8 - 2).\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.783*2.\nAnswer: -1.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Factor 0*q - 18*q**u - 14*q + q - 8*q**3 + q - 2.\nAnswer: -2*(q + 1)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39274 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2804 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10)\/(-25)*(0 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5515 - -5518. Which is the nearest to 1? (a) m (b) 5 (c) 4\/7 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 8*v + 3. Suppose -54*s = 48*s - 16*s - 1462. What is the remainder when a(-6) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 6*f - 3 + 6*f + 10. Give c(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -16.7. Suppose 5*q - 5 = -p + 2*q, 4*q - 8 = 0. Which is the closest to p? (a) -4 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -81. Suppose -m = -b*z + 35, -5*z = -2*z - 2*m - 20. Calculate the smallest common multiple of ((-2)\/(-4))\/((-1)\/(-10)) and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 - (23 - 20 - (-1 + -3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/2 + (-134123)\/3014.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 6*c**2 - 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d3 + ca?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -16 (b) 5 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -9943284?\nAnswer: 1\/4971642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)*(j*(j\/(j\/(j*(j**(-2\/17)\/j)\/j*j)*j))\/j)\/j)\/(j\/(j*j**(-6))*j**5))\/(j\/(j*j**(1\/5)*j)*j**(-8))**(6\/19) assuming j is positive.\nAnswer: j**(-120296\/11305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -179*o + 2. List the prime factors of b(-4).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*w + 6 - 21, 5*w - 15 = -5*m. Put -1, w, -4, -23 in descending order.\nAnswer: w, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2984 = 11074. What is the units digit of (-15)\/10 + f\/(-4) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1057, -1054, -1041, -1012, -961, -882, -769?\n\"Answer: x**3 - x**2 - x - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 247. Let v(l) = l. Determine 2*v(a) + y(a).\nAnswer: a - 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, -1\/3, 18, -15 in decreasing order.\nAnswer: 379, 18, -1\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -12169277.395 to the nearest 100000.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.74 times 0.0329?\nAnswer: 0.550746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (22*4\/(-40))\/(1\/((-50)\/30))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 2 t when four letters picked without replacement from mgttttttgtmm.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 13) + -4 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + -12. Let z = 1680 - 1683. Sort m, 1, z.\nAnswer: m, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(52)))**2.\nAnswer: -16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 11) + (-1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368415.\nAnswer: 3, 5, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1321 divide 93938218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10.9+273\nAnswer: 262.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -2*r**6\/15 + r**3\/2 + 4*r. What is the second derivative of f(k) wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140046203 and 216435041?\nAnswer: 2380785451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 140*x**2 - 2*x + 1. Let a be ((-3)\/9)\/(4\/(-12)). Is w(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1013\/276 + 43\/12. Which is the nearest to 1? (a) l (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6295212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(432) - (-2 + (sqrt(432) - (-1*sqrt(432))**2)) - (0 + sqrt(432) + 1)) + 0 + 5.\nAnswer: -12*sqrt(3) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*q = 0, 4*n = 10*q + 8*q + q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p - 48 + 4. Which is the nearest to -0.06? (a) 0.3 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/227 and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8594?\nAnswer: 2, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -62590?\nAnswer: -62587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 2\/7 (c) -2\/11 (d) -7 (e) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = 15. Suppose 0 = 4*r + 7 - 19. Is (-118)\/(-8) - r\/z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 19. Let c be h\/(-12) + 15\/20. Suppose 5*k + 5*l - 140 = c, -4*k + 96 = 5*l - 12. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*v + 332 + 52 = 0, 3*q - 392 = v. What is the remainder when q is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - (-27)\/(-21). Let h(p) = p**2 + 5*p + 4. Let k be h(-5). Let c = m + k. Solve 2*v + c = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62108540 to the nearest one hundred thousand.\nAnswer: -62100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -28, -49, -78, -115, -160, -213?\n\"Answer: -4*m**2 - m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**3)\/(q\/((q**(-2)*q*q)\/q)*q*q))**(-6\/7)\/((q**(-2\/5)*q*(q*q**(2\/5))\/q)\/((q\/(q*q\/(q**(-4)\/q*q)))\/(q**5\/q*q))) assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.614478ml?\nAnswer: 0.008614478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*c - n, c + 2*n = -2*c + 5. Suppose 3*t + 16 = a, -4*a = c*t + t - 48. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1879692 or 1879690?\nAnswer: 1879692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + w + 4 = 0, -3*w - w - 16 = -3*y. Let z(q) = -q + 12. What are the prime factors of z(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/9 + -1)*(8383\/996)\/101?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmzjemh. What is prob of picking 1 l and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:22 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**3 + 5*a**2 - 5. Let p(n) = -44*n**3 + 24*n**2 - 24. Let g be 5 - (-6)\/(-9)*(-228)\/8. Give g*z(i) - 5*p(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144501 (base 6) to base 16.\nAnswer: -36b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1 - 6*m + 6*m + m**3 + 0. Let f(j) = 3*j**2 - 121*j + 844. Let r be f(9). Let t(v) = -6*v**3 - v + 5. What is r*t(u) - 10*q(u)?\nAnswer: 2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + q**2 - q - 1. Let w be 15\/(30\/(-6))*(-2)\/(-2). Let k be w + 2 - (-1 - (-2 + 1)). Let v be g(k). Let x(t) = t + 2. Calculate x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -120710.\nAnswer: -120710.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y - 3*y - 2*y - 11*y - 8*y + 3*y + (-2*y - 2*y + y)*(-1 - 2 + 0))*(-1 - 1 + 4).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 16*g - 143. Let z(f) = 13*f**2 - 16*f + 3. Let p be z(2). Let b be w(p). What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 7.6. Let k = q + -4. Let n = -57\/28 - -7\/4. Which is the nearest to -0.3? (a) n (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrpysryrryrmm. Give prob of sequence rym.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 23*u**2 - 21*u - 18. Let v be f(22). Suppose -5*m = 2*q - 1911, 5*m - 332 = v*q - 4079. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 4:17 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-5) - 0)\/3. Let b = 47.7 - 45.7. Let j = 19 + -22. What is the nearest to t in b, j, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/22 - 4*d**3\/33 - 17. Factor z(f).\nAnswer: -2*f**2*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) 5 (c) 18 (d) -5 (e) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8326 - -8342. Solve h*z - 11*z - 50 = -5*o, 0 = -5*z + 2*o + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-5)\/(75\/57))\/(-2*(-7)\/(-5810))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699724 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 340.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 3*l + 2. Let t = 6 - 4. Suppose 0 = -t*i - 0 - 4. Let a be j(i). Solve -u = -4*b + 7 + 2, -a*u = -b + 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531574?\nAnswer: 2, 265787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 2b?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12826 and 5445.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 4*s**2 - 2*s**2 + (2*s - s - 3*s)*(-4*s - 2*s + 4*s) + 7*s + 2*s**2 + 2*s**2 - 11*s.\nAnswer: 6*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 476*r**6 + 15*r**3 + 5*r**2 - 7*r - 4948?\nAnswer: 57120*r**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 84 - 16. Suppose -2*y + 84 = 4*q, 0*y + 5*y = 10. Calculate the highest common factor of v and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 5 + 2*o + 3*o**2 - o - o**3 + 4. Let i be v(1). Which is smaller: -1\/26 or i?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6200225 * -10\nAnswer: -6.200225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 565873, 1131747, 1697621, 2263495, 2829369, 3395243?\nAnswer: 3961117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -137041 (base 10) to base 2\nAnswer: -100001011101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**0*r))**(2\/97)*(r*r**(1\/3))**8)**(5\/2) assuming r is positive.\nAnswer: r**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29354.39 rounded to the nearest one hundred?\nAnswer: -29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9039?\nAnswer: 3, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299744 and 4352.\nAnswer: 2397952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88771*a**2*p + 48866*a*p - 2*p wrt a.\nAnswer: -177542*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1945 + 93361\/48. Let v(w) be the second derivative of 1\/96*w**4 + d*w**3 + 0 + 0*w**2 + 6*w. Determine f so that v(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2383595296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 + 162*q**3\/5 + 697*q**2 - 270912*q\/5 + 267264\/5.\nAnswer: (q - 29)*(q - 1)*(q + 96)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minus -6?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*m**5\/3 + 410*m**4\/3 - 271*m**3\/3 - 2*m**2\/3 = 0. What is m?\nAnswer: -1\/137, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 4 - -3 - 1. Let q = x + -5. Suppose g + 4*o - 4 = 5*g, -5*g - 23 = o. Put q, -2, g in increasing order.\nAnswer: g, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - (-11 + 19)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 2*n - 3. Let c = -605 + 607. Give l(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9398 - 1203015\/128. Let m = 159120 - 7637729\/48. Calculate the common denominator of m and f.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46566 - -600?\nAnswer: -45666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -938*c + 961. What is the thousands digit of h(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111110000100001 (base 2) in base 4?\nAnswer: -1013300201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31904 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x**2 + 142*x + 3. Calculate b(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 1120899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/(z\/z**7))\/(z**(2\/9)*z\/(z\/(z**3\/z))) assuming z is positive.\nAnswer: z**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -5*a**8\/112 + 3*a**5\/5 - 16*a**2. Find the third derivative of x(c) wrt c.\nAnswer: -900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -3 = -z + u. Suppose -z*j + 49 = -106. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a factor of 92084580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10078250 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -15, 4 in increasing order.\nAnswer: -15, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.5303 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1740589 + 16396. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t - 5976 = -866 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*m - 110 = 247*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 43*t. Let r(w) = -w**2 - 24*w. What is r(q(f))?\nAnswer: -1849*f**2 - 1032*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 85*m - 645. Let c be q(-7). Let i(s) = 2*s + 3. Give i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + sqrt(9)\/sqrt(3) + sqrt(3)))*4*2.\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 215. Let h = -52358\/7 - -7480. Is h at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 551*p - p**3 - 60*p + 338*p + 3.\nAnswer: -p**3 + 829*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Let o be (s\/9)\/(1\/3). Solve -4*n = 19 + o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 42*m - 6*m + 17 + 11 - 14. Let l(t) = -7*t - 3. Let w(x) = 6*c(x) + 28*l(x). Give w(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -11) + -5 + (-1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqs when three letters picked without replacement from {s: 1, h: 7, q: 3, l: 1}?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4))**(-12\/11)\/((u*u**18)\/(u\/u**11*u)) assuming u is positive.\nAnswer: u**(-299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*c*y**3 - 1237*y**3 wrt c?\nAnswer: 87*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452 = 6*i + 338 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 + 6*l - 4*l**3 - l + 6*l**2. Let o(u) = u**3. Let i(a) = -o(a) + t(a). What is the second derivative of i(v) wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 3*w**2 - 2*w - 6. Determine s(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = 2*w - 22, 4*w - 26 = 5*x. Let b = 54 - w. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171188429, 342376855, 513565279, 684753701, 855942121, 1027130539, 1198318955?\nAnswer: 1369507369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let i(b) = -26*b**2 + 78723*b. Determine i(x(q)).\nAnswer: -26*q**2 + 78723*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s - 6. Let c be f(5). Suppose -c - 1 = -6*a. Let m(j) = 5*j - 9. What is the remainder when 62 is divided by m(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o + 3. Let k be m(1). What are the prime factors of ((-62)\/10)\/(k\/25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32561350 + -2.\nAnswer: -32561352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*j**2*u**2 - 519*j**2*u + 109*j**2 + 6*j - 2*u**2 - 22 with respect to u.\nAnswer: 26*j**2*u - 519*j**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1. Suppose -16*f = 40*f - 168. Let l(z) be the first derivative of 1 - 1\/2*z**2 - f*z. What is -l(q) - 3*t(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2) + (23 - 18). Suppose -j + 16 = -5*l + 19, 3*j - 5*l = -19. Put u, j, -1 in descending order.\nAnswer: u, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20521 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -3) + (6 - -2). Solve -m*z = -2 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 - 4*s - 37. Let c be r(6). Solve 17 - c = -15*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -201201 (base 3) in base 10?\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21 + (-4)\/(-14). Let t = 5 - 9. Let c be (t - 6\/(-2))*0. Solve c = -f - k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = g + 6*x, 7*g - 3*x - 9 = 9*g. Let u be (2\/5)\/(4\/(-20)). Put u, -12, g in ascending order.\nAnswer: -12, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7+-23\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42\/13 (b) 32\/139 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 297287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3\/4, -0.24, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/148 - -311\/740. Is 47 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4776*v + 4545*v + 11319 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 1091530.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 2993.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*i - 12 + 3*i + 7 + 13 wrt i?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -0.76. Let d = -0.15 - r. Let k = 0.19 + d. Is k greater than or equal to -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15587229.\nAnswer: 3, 7, 101, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -105 + 18. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -473791634\/40269 - -35297\/3. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-16)*(-3 + 3 - -261316). Let u = 29381381 + l. Round u to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 5*a**2. Let y be p(-5). Suppose -3*g + 7*g - 20 = y. Suppose -2*l - 18 = -t, -5*t - g*l + l + 20 = 0. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 12) in base 6?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 12056116615?\nAnswer: 12056116620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*k = -1497 - 241, 5*k = 2*j - 1155. What is j rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/10 + r**4\/4 - r**3\/2 + 3*r**2\/2 - r. Let q(k) = 741*k + 11117. Let t be q(-15). Calculate a(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2780\/11 (b) 0.4 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 11 = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -47 + 3. Suppose 5*q - 4*q = p. Suppose 6 = r + 2*b - 14, -4*r = -4*b - 32. What is the remainder when q is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*m**5 + 1713470*m**4 + 171058368*m**2 - 2?\nAnswer: 2160*m**2 + 41123280*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)\/j**(1\/4)*(j\/j**(-2\/9))\/j**(-1\/18) assuming j is positive.\nAnswer: j**(-503\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014132689 rounded to 5 decimal places?\nAnswer: 0.01413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 12\/1820353?\nAnswer: 12\/1820353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let r(t) = 23635*t. Calculate r(q(v)).\nAnswer: 23635*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -539\/27558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664 is divided by 297?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760065?\nAnswer: 3, 5, 50671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, -91.8713?\nAnswer: -91.8713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2205) + 0 + sqrt(2205))*1 - (sqrt(2205) + 2 + sqrt(2205) + -2 + sqrt(2205) - sqrt(2205)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000105327 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 485 (base 9) to base 10\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6120\/27)\/20 + (-3)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) - 7\/(-3). Suppose l*t + 3*t = -55. Is (3 - 5*t) + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6500 and 10660.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -9*w - 7*c - 7, 0 = w - 6*c + 33 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68683 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6*-16877\nAnswer: 101262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4 = v - 0*v, 1 = -5*g - 4*v. Let a be g\/(-3 + (-5)\/(-2)). Suppose -2*z = 3*z. Solve -a*b + z = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -8. Let d be (2\/3)\/(v\/(-12)). Is d >= -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800607.7ml to litres.\nAnswer: 800.6077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 > -5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -1 + 4. What is the units digit of 29 - (2\/v - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1349.8 + -0.1\nAnswer: 1349.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4887499.625 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.224 + 11.524. Let a = j - 11. Which is greater: a or -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-336*j + 0*j - 772*j)*(-1 + 1 + 2*j)*(5 - 1 - 2).\nAnswer: -4432*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 405, 404, 403, 402?\n\"Answer: -v + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:51 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -169 - -178. Let g(j) = -3*j - 9. Let s(h) = -1. Let l(i) = -g(i) + 3*s(i). Let b be l(w). Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/63)\/((-44)\/(-15180)) - (-2 + -9)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(91) - -2*sqrt(91)) - sqrt(91))\/(sqrt(63)*-1 - sqrt(63)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-627)*(-6336)\/864.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*y - 0*q + 5*q, -24 = -y - 5*q. Solve -y*x + 4 = -23*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/33 and 43\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95965736 to the power of 1\/2, to the nearest integer?\nAnswer: 9796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 131319889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*t - 5297 + 799 - 3062 = 0 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15410 divided by -15410?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/3 + 34\/21. Suppose 22 - 253 = -21*p. Suppose -4 = 15*q - p*q. Is d at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 - 5*i + 4. What is m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = -4*h. Suppose 0 = -0*r + 2*r - 3*z - 12, -r = h*z + 20. Solve 2*p = -2*o - 2, p + p + 5*o - 1 = r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3559, -14148, -31797, -56506?\nAnswer: -88275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8042700041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*h - 0*h. Let o = h + 5. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.014, 4, 25\/40921?\nAnswer: 25\/40921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 349645384 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21516210 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-84)\/49)\/((-4)\/4536)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7489*k. Let a(r) = r - 68. What is x(a(n))?\nAnswer: 7489*n - 509252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/15*(-30)\/27.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 28*m + 65. Let y be g(-23). Suppose -2*f - 318 = -4*q, y - 570 = -5*q - 5*f. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*v - 145 = 36*v. Solve t = -2*q - 8, t = q + v*t + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29177.6 - -29178. Sort -0.61, -0.3, j, 3.\nAnswer: -0.61, -0.3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13024 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = 4*z + 68, 0 = -4*l + 3*z - 136. Let y = -28 - l. Let s be 2\/(3\/(189\/y)). Calculate the greatest common factor of 42 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33333, 33142, 32611, 31566, 29833?\n\"Answer: -29*t**3 + 4*t**2 + 33358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s - 5. Let z(d) = 5*d - 6. Let c(w) = 6*a(w) - 5*z(w). Let h(v) = 3*v**2 - 6*v. Let p(x) = -x**2 + x. Let f(r) = -h(r) - 6*p(r). Give f(c(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 16*k = -4, b + k + 4 = 0. Let a be (4\/3)\/(32\/6 + b). Solve a*y = 9 - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojr. What is prob of picking 1 j and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 18 - 4. Let p(x) = x + 16. What is p(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 29 = -13 - 10. Factor 0 + 3\/5*i**2 - 2\/5*i + 0*i**y - 1\/5*i**4.\nAnswer: -i*(i - 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 96*q**2 + 104*q**2 - 275*q**2 - 2 + 78*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264 + 263.672. Let k = -0.072 + g. Which is the closest to -1\/9? (a) k (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53930 is divided by 3029?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 6 = 9*a. Let q = 7 - 3. Suppose -q*p + 3*p - 2*b = -129, 384 = a*p + 3*b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 5*u + 6. Suppose 0*n - 46 = -2*n. Suppose -n = -5*g + 7. Let o be v(g). Let q(t) = t**2 + t + 7. What is q(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3994762 divided by 1997381.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(242) - (-1 + sqrt(162))) + 2 + -1 + sqrt(800) + (sqrt(800) - (sqrt(800) + -1)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4640*o - 3672. List the prime factors of l(-7).\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1904, -3068, -5010, -7730, -11228?\n\"Answer: -389*h**2 + 3*h - 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265 + 265 - 745 - 61*f**2 + 249)*(4 - 4 + 2*f).\nAnswer: -122*f**3 + 68*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52401 by 1.\nAnswer: 52401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - 1 - 40\/(-5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 13*h**2 - 4*h + 2. Let s be v(4). Let w = -25 - s. Solve 7*f - 2*f - 5*p - 20 = 0, -2*f = p - w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(10*p - 7*p + 13*p).\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 0*n**2 + 5*n**2)*(-49*n + 15*n + 19*n)*(n - n - 2*n)*(1 - 1 + 1) to the form q*n**2 + v*n**4 + i + z*n + g*n**3 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130552.184497 - 130552. Let n = a + -11.184487. Let g = n + 11. What is g rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*f + 25 = 5*s, -2*f = 3*s - 21. Differentiate -2 + 6 - 6 - s*l**4 + 20*l**4 with respect to l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 5 + 1\/9*n**3 - 1\/12*n**2 - 1\/6*n. Factor v(l).\nAnswer: (l - 1)*(2*l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z - 6. Let n(w) be the second derivative of 7*w**3\/6 - 7*w**2\/2 - 4*w. Let q(c) = -10*c + 10. Let k(o) = -7*n(o) - 5*q(o). Determine 6*k(r) - v(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*s + 4. Suppose 16*w - 5 + 5 = 0. Which is the nearest to w? (a) 0 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 16*d - 60. Let q be x(8). Solve f + 10 = -q*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/174 and 50\/13.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -873, -1158, -1445, -1734?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-29)\/(-105) + 8\/(-60)). Find the third derivative of 406*n**2 - 139*n**2 - 9*n**4 + 10*n**4 - 23*n**4 - l*n**4 wrt n.\nAnswer: -696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6 + 15. Let y be 6*(-2 + (2 - 1)). Let n = y + b. Let l(o) = o**3 - 3*o + 5. Let v(d) = -d**3 + d - 1. Give n*l(z) + 3*v(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5.3. Let m = 10.3 + -10. Let l = h + m. What is the second smallest value in l, -3, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 19*n - 22*n + 29*n + 40*n. Let a(h) = -5*h**2. What is c(a(d))?\nAnswer: -330*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 10*x - 20. Let t be a(7). Let s be -5*3*(-2)\/3. Is 9 a factor of t\/(s\/45)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116002 + -5?\nAnswer: -116007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.97 + -0.03. Let m = 13 - d. Put 3\/4, 2\/3, m in ascending order.\nAnswer: 2\/3, 3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20515, -5, 1210 in increasing order.\nAnswer: -5, 1210, 20515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.184 - -1.0718. What is y rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8167 is divided by 906.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6*l = 1015. What is the common denominator of 1 + -5 - l\/80 and -95\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(3\/11)*c)*c)\/c*c\/c**(2\/11)*(c**(4\/3))**21 assuming c is positive.\nAnswer: c**(314\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 163*p + 7. Let b(m) = 176*m + 8. Give 3*b(g) - 4*j(g).\nAnswer: -124*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + (-8 + 4 - -3) - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 97019.054828.\nAnswer: 97024.054828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-5771)\/(-43935) + 2\/(-15)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) -2 (c) 2 (d) 2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, j: 11}. Give prob of picking 1 j and 2 m.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 3 (c) -38024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 36*v - 237. Solve -3*n - 19 = -v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7956)\/1496 - 3\/6) + (13 - 7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20461, 22628, 24795?\nAnswer: 26962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 77 - 35 = 4*o, -5*o = 5*k + 115. Let z = o + 30. Which is the nearest to -2\/5? (a) -2 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(272) - ((2 + sqrt(272) + sqrt(272))*-3 - sqrt(272))) + sqrt(272))*-4)**2*1)*5 + 0.\nAnswer: 34560*sqrt(17) + 1765425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769331?\nAnswer: 173, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -1272e75?\nAnswer: 1272e70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*m + 109. Suppose -p - m = -42. Which is the nearest to 0.1? (a) p (b) -3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 83 - 93. Calculate the greatest common divisor of s and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*q - 26 + 53 = 0, -5*f - 2*q + 3 = 0. Put f, 6, 5, 1, 124 in ascending order.\nAnswer: 1, f, 5, 6, 124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let u(w) = 38*w + 3. Calculate q(u(g)).\nAnswer: 38*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 18.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 121 = t, -3*t = 3*f + 14 - 101. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60901387 by 5.\nAnswer: 60901387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 6*y**2 + 3*y - 2. Let t be m(6). Let x be -3 + ((-6)\/(-15))\/((-2)\/(-70)). Suppose x*h - 23 = 164. Which is bigger: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - q + 2*q + 777*q**3.\nAnswer: 777*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d*o*w + 2658166*d*o + d - 36*o*w + 184*o + 6*w + 2 wrt d.\nAnswer: -8*o*w + 2658166*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 61, 1\/9, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 8*f + 3. Let m be q(-8). Suppose 4*t + m*h = -h + 116, 12 = 3*h. Solve 0 = -5*j, -3*p + 4*j - t = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**7*k)\/k**(1\/3))\/((k**(-2)\/k)\/(k\/k**4)))\/(((k**(-1\/9)\/k)\/k**(-2))\/(k**(-1\/4))**5) assuming k is positive.\nAnswer: k**(199\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 566 in 3, 104, -1, -3?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -19. Let u be (-7)\/21*6*b\/2. Solve 5 = -w + u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34937546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26451*x**2 - 26438*x**2 + 2*x**3 + 105744*x**2 - 26441*x**2 - 26414*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -4, 26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h - 358. Let w be o(-45). What is the fourth smallest value in 0.2, w, -0.3, -15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 118*q**2 - 200*q**2 - 2171*q**3 + 2173*q**3 + 660*q = 0?\nAnswer: 0, 11, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264170117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11474, -11469, -11452, -11417, -11358, -11269, -11144, -10977?\nAnswer: -10762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14372422, -14372428, -14372436, -14372446, -14372458, -14372472?\n\"Answer: -g**2 - 3*g - 14372418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, -41, -432, -1275, -2720, -4917, -8016?\nAnswer: -12167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 17*o - 16*o = -2*k - 1390, -3*k = -2*o + 14 + 62 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1039862266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/9 + (-2)\/(-6). Let o = 59 - 56. Put 0, r, o in increasing order.\nAnswer: r, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454649453.\nAnswer: 43, 67, 852013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -h + 4*n, 0*n - 2*n + 9 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2200120021?\nAnswer: 2200120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 25*l + 322. What is the first derivative of -81*h - l*h + 15*h - 58 wrt h?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g = 565 + 143 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, 34.5, 3.87 in descending order.\nAnswer: 178, 34.5, 3.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 624522 + 30244?\nAnswer: 655066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113489406 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.4 (c) 0 (d) -7\/3 (e) -0.227 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -258, 366, 4.\nAnswer: -258, -7, 4, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 4*m**3 + 268*m**2 - 268*m**2.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 776, 2380, 4702, 7742, 11500, 15976?\n\"Answer: 359*j**2 + 527*j - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**2 + 0*m**3 + 0*m**4 - 12 - 1\/60*m**5 + 0*m. Let z(g) = 21*g**2. Give z(k(w)).\nAnswer: 21*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -654 - -582. Suppose -w + 290 = -5*w + 2*o, 360 = -5*w + 5*o. Is a greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -0. Put s, 2, 0.5 in decreasing order.\nAnswer: 2, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 + -95. Calculate the highest common factor of u and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23442 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*u + 3692*u + 656*u + 1334*u.\nAnswer: 5531*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Suppose 2*v - 5*v + 12 = 0, 50 = 5*j + 5*v. Suppose 7*q - 7 = j*q. Solve r = -4*o + q + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/50 and 21\/635.\nAnswer: 6350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -2)*413\/(-14). Is 23 a factor of ((-138)\/12)\/(l\/90 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = -a - 0*a, 3*a + u - 13 = 0. What is the remainder when 10\/(-15)*(-9)\/2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 999142320 and 333047440?\nAnswer: 999142320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.022, -2\/17, 1 in descending order.\nAnswer: 5, 1, 0.022, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.094707 from 820.28748.\nAnswer: 820.192773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 12*n - 124. Is (n - 25) + -3*1 - -438 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 99?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*l + 18. Suppose -l*j - j + 3 = 0, 4*j = o. Let i be -1*(-4)\/6*18. Calculate the highest common divisor of o and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 - 2496*a**4 + 129904*a**3 + 134892*a**2 - 129902*a - 132396 = 0. Calculate a.\nAnswer: -1298, -1, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.226.\nAnswer: -0.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077302 (base 8) in base 14?\nAnswer: -79506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:53 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891236 is divided by 155?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiihihsssssshhigiss. Give prob of sequence iisi.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954*-131701.\nAnswer: 125642754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 4*o - 2. Let i(y) = -66*y**3 + 7*y**2 + 12*y + 2017. Let c(l) = -3*h(l) + i(l). What is the first derivative of c(a) wrt a?\nAnswer: -207*a**2 + 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**5\/90 + 2*n**4\/9 - 7*n**3\/9 + 11*n**2. Determine r, given that u(r) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/2 - 8247*h - 68013009\/2 = 0 for h.\nAnswer: -8247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccffcgcgccccgfgc. What is prob of sequence gc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j\/(j\/(j\/(j\/j**(1\/5))))*(j\/(j*j\/((j*j**(3\/4))\/j))*j)\/j**(-3))\/((j\/(j\/(j**(1\/4)\/j)))**(-47))**35 assuming j is positive.\nAnswer: j**(-6154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3493 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**10\/(l**(-3\/7)*l**2) assuming l is positive.\nAnswer: l**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21356 take away -2731.47?\nAnswer: -18624.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 + 2*y**2 - 9*y. Give j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*o - 3276*b*o**2 + 8989*o**2 + 2*o wrt b.\nAnswer: -4*b*o - 3276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114 (base 7) in base 10?\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/r)\/r)\/(r**(-25)\/r) assuming r is positive.\nAnswer: r**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 1, 46, 2, -2, 0 in decreasing order.\nAnswer: 46, 2, 1, 0, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 12*k + 32. Let h be y(9). Let b(a) = 2*a**3 - 3*a**2 + 4*a - 4. Let w be b(3). What is the highest common divisor of h and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/39)\/(l*l**9))\/(l\/(l\/(l\/(l*l**(-8)\/l*l)))*l*((l*l**(-14))\/l)\/l) assuming l is positive.\nAnswer: l**(-154\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560.645g to tonnes.\nAnswer: 0.000560645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.03 (b) 7 (c) 4 (d) -1.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -720 + 723. Suppose -3*w + 51 = -s*k, -4*k = 5*w + k - 115. What is the remainder when 74 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86731.84 micrometers to millimeters.\nAnswer: 86.73184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8027.896 weeks in days?\nAnswer: 56195.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 74 - 2. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 42, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/37800240 and -41\/956?\nAnswer: 37800240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 228890682 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -8)*0\/(-2). Let w(u) be the second derivative of 0*u**2 + 1\/15*u**6 + 3*u - 1\/6*u**4 + g*u**3 + 0*u**5 + 0. Factor w(j).\nAnswer: 2*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307.5 * 103\nAnswer: -31672.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*k - 12, 0 = -2*i - 2*i - 2*k + 10. Let t(g) = g**2 - 6*g + 5. Suppose -5*y + 25 + 5 = 0. Let d be t(y). Sort d, -4, i in ascending order.\nAnswer: -4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -130*j**2 - 4*j + 130*j**2 + 29 - 15*j**3. Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/6 and -157\/1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -121, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, p: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/50 + 2*b**4\/5 + 17*b**3\/15 - 6*b**2 + 5*b - 119. Factor x(t).\nAnswer: 2*(t - 1)*(t + 3)*(t + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**5 - 6030*v**4 + 1811995*v**3 + 3654190*v**2 - 1812000*v - 3648160 = 0.\nAnswer: -2, -1, 1, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 s when three letters picked without replacement from {w: 5, q: 1, g: 1, s: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/(15\/30). Let p be (-2 - j)\/(4\/72*6). Solve r - 5*q - 5 = 11, -r + p*q = -10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozi when three letters picked without replacement from {i: 1, p: 2, q: 1, z: 2, o: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85694281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {q: 3, j: 1, i: 1, a: 2, d: 3, l: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -1, 0, 2 in ascending order.\nAnswer: -1, 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(52\/(-39))*(-2)\/3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132*(-12)\/54*17*-15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**2 + g - 2. Let z(w) = -52*w**2 - 70*w - 262. Let k(d) = 5*r(d) - z(d). Factor k(l).\nAnswer: -3*(l - 28)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/5 + 129*u**2\/5 - 1386*u + 1360 = 0.\nAnswer: -170, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y = -668 + 542 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11975618*z**2 + 58728*z - 72 = 0. What is z?\nAnswer: 6\/2447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 287858088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 3*n - 2 + 6. Let v be f(5). Let y(c) = -5*c**3 + c**2 - c - 1. What is y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1371653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -261 + 275?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109168*r**2 - r - 29293 wrt r?\nAnswer: -218336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122192 and 9737175.\nAnswer: 155794800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 18202 - 22223 = 0. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g + 1. Let m(u) = -10*u**2 + 3*u. Let d(k) = -4*i(k) - m(k). Let t(p) = 7*p**2 + p - 5. What is -6*d(s) + 5*t(s)?\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 32*m**3 - 3536*m**2 + 1775*m - 1644. Determine r(110).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 26380, 5, 0, -41.\nAnswer: -41, 0, 1, 4, 5, 26380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 50*a = -1492 + 704 - 753 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3453 times 74?\nAnswer: -25.5522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 36*z - 210. Give j(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 128985?\nAnswer: 902895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Let r = 36276 - 36274. Solve -6*q + 4*k + n = -3*q, r*q + 3*k + 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2068\/16)\/((-1)\/(-2 - 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -36?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3313 - -11?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 510 = 90*f + 162. Let t be 1 - (-1 + 2) - -4. Does 17 divide -204*(t - (-28)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 + 12*t - 4. Let c(g) be the second derivative of -g**4\/6 + g**2 + 34*g. Let x(p) = -3*c(p) - u(p). Calculate x(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/120 - t**5\/15 + t**4\/6 + t**3\/6 - 2*t**2. Let u(v) = 6*v - 74. Let n be u(13). Determine k(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(0*f + 4*f - 3*f - 2*f + 3*f + f - 2*f + 0*f + 3*f + (-3*f + 5*f - 4*f)*(3 - 4 - 1) + 2*f + 2 - 2 + (5 + 4*f - 5)*(2 + 2 - 6)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -331 - -192. Let x = k + 133. Let f(z) = z**2 - 1. Let h be f(-1). Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, 2, -4984261, -5 in descending order.\nAnswer: 4, 2, -5, -14, -4984261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -569 < 14.8082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6307, 5526, 4733, 3922, 3087, 2222, 1321, 378?\n\"Answer: -i**3 - 774*i + 7082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 13)*(-1)\/(-2)*22. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**3 - 925888*s + 925888*s.\nAnswer: -49*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 8*n**2 + 13*n + 4. Let i be z(7). Let v be (1 + -2)\/(1\/(-506)). Calculate the highest common factor of v and i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 - 24*l - 48 = 0. What is l?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2162079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784\/10 + -6 + (-2)\/5 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 1, -376\/11, -0.1, 30, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2101*z. Let g(w) = 74*w + 6. Give f(g(o)).\nAnswer: -155474*o - 12606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -1566961.93?\nAnswer: 1566960.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3717, 3661, 3569, 3435, 3253?\nAnswer: 3017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*(4 + (-44)\/12). Suppose 4*l = -s + 17 + 1, 5*s + g*l = 26. Sort -5, -8, 1, s in increasing order.\nAnswer: -8, -5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-1 + -2 + -93))\/(-2). Let l = f - -38. Is (-6 - l) + 2202\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y**(-2\/5)*y)\/y*y)\/y))**(-38)\/(y\/y**(-1\/4)*y*y*y**2*y) assuming y is positive.\nAnswer: y**(-1189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x - 4. What is the remainder when 10 is divided by -1 + 12\/(0 - x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -10) + -12 + 43 - 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6*18\/(-4). Suppose -70 = -w*z + z. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 574, 1448, 2322, 3196, 4070, 4944?\n\"Answer: 874*z - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 7 + 3. Let d(p) = -5*p - 6. Let n be d(v). Calculate the remainder when 33 is divided by ((-56)\/n - 5)\/(2\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 - 19*g**4\/12 + 8*g**3\/3 + g**2\/2 - 17*g. Let d be c(18). Let q = 1555 + d. What is q rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*x - 5*x + 5*x + 143 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -912, -1525, -2136, -2745?\n\"Answer: l**2 - 616*l - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*g + 23*g + 2 + 2 + 27*g + 17*g**3 - 73*g - 3*g**2 to d + v*g**3 + o*g**2 + n*g and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-72)*-1*6\/(-15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + -102192?\nAnswer: -1021b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 + 64*l - 27. Calculate the remainder when d(11) is divided by 53.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - d + 23 = 0, -3*s - 50 = -5*d - 20. Put 3, -3, s in ascending order.\nAnswer: s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 - 2*h - 1. Let m be b(-2). Let z(k) = -k**3 + 6*k**2 + k - 7. Let j be z(6). Is m greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 8220?\nAnswer: 65760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -137, -318, -589, -962?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/2709031 and -32\/75227707.\nAnswer: 977960191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(1216))*4.\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22a - 335754?\nAnswer: -335526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from {w: 3, y: 1, u: 4, l: 8, a: 2, n: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 26*l**3 + 14 + 7*l**4 + 27*l**3 - 19 + 4*l**2 - l - 4*l to the form z*l**2 + q*l + r*l**3 + a + n*l**4 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27181982 by 1.\nAnswer: -27181982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 214*s - 225*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5297? (a) 4 (b) 6\/5 (c) -0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/568, -0.081, -2, 1\/3 in increasing order.\nAnswer: -2, -0.081, 17\/568, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) + (-16)\/(-6). Calculate the remainder when (-5 - (f + -1))\/(-2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 - 3*d**2 + 3*d**2)*(50 - 4 + 19) to t*d**2 + n + j*d and give t.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 91*c**2 + 13080*c - 3303. What is d(-144)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*3\/(-9)*(10931\/(-85272) + 8\/64)?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -2356c?\nAnswer: 23577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1584 + -1584. Solve -9*y + 12*y - 15 = n, -4*o = 5*y - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(256) + sqrt(16))*3)\/(sqrt(48)\/(sqrt(6)*-1 - sqrt(6))*5)*-2.\nAnswer: -132*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 33 = -n. Let y(v) = -4*v - 21. Let l be y(-6). What is the highest common factor of n and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 279*u**3 - 279*u**3 + 9*u**4 + 17*u**2 wrt u?\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -90. List the prime factors of w\/((-340)\/332 + 1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24 - (5 - (8 + -3))\/1. Put 5, -4, s in descending order.\nAnswer: s, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Solve 5*j = 3*d + 11, 0 - 2 = j - b*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281199 is divided by 400.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 1. Suppose -5*r + 290 = -3*s, -2*r = -x*r + 2*s + 174. Let a = -22 + r. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 - -19 - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1232 = -3*u, 5*z + u = -3*u + 1509. What are the prime factors of z?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1540591, -3081181, -4621771, -6162361, -7702951?\n\"Answer: -1540590*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/20*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05905? (a) -0.4 (b) -0.02 (c) -29 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 15 = 0. Suppose 3*g = 59 - t. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d*t**3*y**2*z + 260*d*t**3*y**2 + 4*d*t**3 - 574*d*t**2*y**3 + 2*t**3*y**3 + 2*y**3*z - 2*y**2*z wrt y?\nAnswer: -3444*d*t**2 + 12*t**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 23*w. Let q(m) be the third derivative of m**5\/60 + 6*m**2. Determine q(g(l)).\nAnswer: 529*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 266 = -261 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:48 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -29*q - 81. Give v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1243820.5 - -43\nAnswer: -1243777.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9068 = -10*i + 6*i. Suppose 19*f - 678 = i. Does 32 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161819390 divided by -4294.\nAnswer: 37685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 501 and 3825237.\nAnswer: 638814579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, -384, 3, 1, -7 in ascending order.\nAnswer: -384, -7, -3, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from qffaffqfaqaqqqffffq.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221377405.\nAnswer: 5, 173, 1411997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/4 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 87*j**2 - 5*j + 2. Let q(k) = -88*k**2 + 8*k - 3. Let z(x) = 3*d(x) + 2*q(x). Let i(o) = 2*o. What is z(i(b))?\nAnswer: 340*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 74 = -3*n. Let c(q) = 12 - n + 20 - 3*q. What are the prime factors of c(-15)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -880 or -886?\nAnswer: -880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tll when three letters picked without replacement from {l: 2, t: 3, y: 1, b: 7, k: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6743962398.\nAnswer: 2, 3, 37, 30378209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2)\/f*f**(-3)*f)**(-1\/31))**(-1\/54))**(-42) assuming f is positive.\nAnswer: f**(35\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.1 - 7. Let t = -0.5 + a. What is the smallest value in -0.5, 0.4, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 1744*t**2\/3 - 2915*t.\nAnswer: t*(t - 1749)*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11276.\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -10*h**2 - 1. Let m(z) = -z**2 + 1. Let u(j) = -g(j) + 6*m(j). Find the first derivative of u(d) wrt d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.6 - -30. Let w = -0.8 - c. Let j = -69\/7 - -9. Which is bigger: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 - -142. Let u = 196 + w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + i + 67. Suppose -w + 2*b = -8, -2*b - 5 = -2*w + 3. Is l(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 0 = -4*x. Let j(c) = -2*c + 2. Calculate j(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6844, -13651, -20458?\n\"Answer: -6807*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/9)\/4*-3. Let l be (-3 - -2)\/((-1)\/j). Let f = l + 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732204359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.254 kilograms to grams.\nAnswer: 524254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 + -388. Let l = q + 116. Let y = 3.4 - 4.4. Sort l, -1\/6, -0.4, y in increasing order.\nAnswer: y, -0.4, -1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340603228.\nAnswer: 2, 7, 17, 23, 53, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - m**3 + 4*m + 1 - 6*m + 0*m**2. What is the remainder when p(-3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29150053 divided by 1714709.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 16. What is the derivative of -1 - h*f**2 + 4*f**2 - 7*f**2 wrt f?\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -1.1 (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 11. Let i be d(8). Suppose -i*k = -5*x - 22, 3*x = 3*k - 0*k - 18. Suppose k*u - 92 = -0*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 14. Let b be f(-4). Let w be 2 - (-6 + b)\/7. Solve -w*p + 3*p = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1450924798 greater than -1450924796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-2)*(-15)\/(-10). Let u(h) = -h + c - 2 - h**2 + 6*h + 2. Let t(z) = 2*z - 6. Let g be t(6). What is u(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -16, 3627, -5 in decreasing order.\nAnswer: 3627, 8, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 13\/4 (c) 3 (d) 403.415 (e) 0.2 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 701, 705, 711, 719, 729?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/4 - t**4\/6 - t**3\/6 - t**2 - 3*t. Is 15 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -5*n**4\/12 - 5*n**3\/3 - 5*n**2\/2 - 3*n. Factor h(c).\nAnswer: -5*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/5 - -1*3\/5. Let i be ((-12)\/(-2) + 64244)*p. Round i to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 - 256. Suppose -j = -2*q + 342. Suppose -4*w - w = 4*k - 312, 3*k + 3*w - q = 0. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 311 and 10?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/2105 and 39\/4210.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 31. Let m(s) = -2*s**3 + s**2 + 3*s + 2. Let g(q) = q**3 - 2*q - 1. Give c*g(j) - 2*m(j).\nAnswer: j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6. Suppose -2*s + k*s = -8. Suppose s*t - 8*t = -8. Solve 3*r - 2 = 3*i + 1, -2*r + 5*i + t = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8246 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a factor of 3996183286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/13 - 65181044*q\/13 - 15041778.\nAnswer: -2*(q + 3)*(q + 32590519)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.86471 millimeters in kilometers?\nAnswer: 0.00008186471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16707, -2\/7, -20, 6 in ascending order.\nAnswer: -20, -2\/7, 6, 16707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -3\/7, -19, -4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y**2 + 120*y - 199. What is b(-10)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqg when three letters picked without replacement from guuuqkzzu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Let x(k) = -8*k**2 - 5. Let r(l) = 9*l**2 + 6. Let u(p) = 5*r(p) + 6*x(p). Calculate u(i(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.91145 - -0.0883. Let t = 15.4 + -2.4. Let y = t - q. What is y rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000833093 rounded to six dps?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -167644 divided by 41911\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/26)\/(21\/42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 952 and 1588412?\nAnswer: 3176824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247384218?\nAnswer: 2, 3, 19, 47, 46171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -4. Suppose -3*w + 7 = -t - 6, -2*w + 10 = -2*t. Let a be 2*(-1)\/q*(212 - w). What is the greatest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 3, l: 4, c: 6}. What is prob of picking 2 c and 2 l?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 7)\/(38\/(-6)). Is 0 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 252635610, 5, -4 in decreasing order.\nAnswer: 252635610, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ececj. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353 - 353 + 21*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 times 133637?\nAnswer: -1296278.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 232479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 145*f**2 + 290*f + 1858. Determine t(-50).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-76)\/(-6) - 6\/(-18). Let b = 13 - d. Suppose b*z + 2*z - 3 = -5*c, -2*c + 7 = -5*z. Which is greater: z or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.935 to 1 dp.\nAnswer: 40.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-23))\/(-4)*(-2)\/(-29)*2?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(75) + 1 + sqrt(75)) + 1*(sqrt(3) + 3)**2 + sqrt(3) + sqrt(18)\/(sqrt(18)\/sqrt(3)).\nAnswer: -7*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 + 23*i - 79. What is the hundreds digit of l(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*o, j = 4*o - 2*j + 2. Let w be (o\/6)\/(2\/(-18)). Solve -w*t - 5 = 5*x, -4*x + 5*t = -2*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -61*q - 2. Let s(f) = -f**3 - 12*f**2 - 32*f + 1. Let k be s(-4). Calculate z(k).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15250744 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2118 = -0*p. List the prime factors of p.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**3 + 33*q**3 - 3*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 1, f: 2, g: 6, l: 6, j: 3}. Give prob of sequence gfj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/2)\/(-2) - (-35)\/10. Suppose n*b = -3*v + 15, -5 = -2*b + 3*b - v. What is the third smallest value in b, 5, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:34 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**7\/420 + u**6\/360 - 23*u**4\/6 - 227*u**3\/3 + 38. Let q(j) be the third derivative of p(j). Differentiate q(h) wrt h.\nAnswer: -6*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 287856.\nAnswer: 1439280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 54, 67?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/(l*((l*l**6*l*l)\/l)\/l)*l**(1\/2)*((l\/l**(-2))\/l)\/l*(l**(-6)*l*l**1*l*l)\/((l\/l**(-3\/7))\/l**1) assuming l is positive.\nAnswer: l**(-181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17642199, -35284404, -52926609, -70568814, -88211019, -105853224?\n\"Answer: -17642205*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 15 = z, -5*z + w = -w + 52. Let l be (6\/z)\/(5\/25). What is the tens digit of (-21)\/(l + 32\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 166*l + 976. Let i be b(6). Put 2, i, -3 in decreasing order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2 - 33\/11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.3 - -1.3. Let n = 63.7 + -59. Let p = n + z. What is p rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25202166 a multiple of 1720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 = 19*y + 731 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*a - 21 + 2, -3*a - 3*v = -21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.38 to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 2*i + 2. Let u be c(2). Let l be 12\/(-6) - (-10)\/u. Determine z so that -9 + 5*z + 0*z**2 + 7*z - l*z**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*1\/2*(62 + -16). Let d = i - -173. Is 288 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 14. Let y = a + -16. What are the prime factors of (-77)\/y + 12\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -78*l**2 - l + 21. Let d(r) = -r**2 + r - 6. Give 4*d(z) + n(z).\nAnswer: -82*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2432 - 2433. Which is the third smallest value? (a) 1\/7 (b) 0.2 (c) -0.3 (d) f (e) 3\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (4 - (-42 - -42))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3476, -3898, -4608, -5606?\n\"Answer: -144*t**2 + 10*t - 3342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 185673 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3331 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4777 times 1.3?\nAnswer: 6210.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7*g + 344. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11002121?\nAnswer: -11002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 1 - (13 + -25 + 14 - 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162990 + -10268738\/63. Let d = -37\/7 - i. Let y = -2 - -4. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 1:29 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 50*j - 69. Solve 4*w = -4*n + 5*w - 24, 3*w = -j*n - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13586\/1305 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*d - 8*d + 16*d)*(-1 + 0 + 3)*(-3*d + 4*d + d) to the form q*d + r + b*d**2 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*p - 3*v, 4*v = 3*p - 4*p - 13. Let c(f) be the second derivative of -f**5\/20 - f**4\/2 - 5*f**3\/6 - 3*f**2 - 8*f + 1. What is c(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344256*q**3 - 136203*q**2 + 1?\nAnswer: 2065536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55884?\nAnswer: 2, 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56.0052 + -1.9948. Which is smaller: -3\/10 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234 (base 10) to base 13.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17374 + 10574. What is c rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 4*c + 120 = 0, -3*d - 5*c - 163 = -112 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-6) + ((-34365)\/(-108))\/79 and 163\/2640?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1587704?\nAnswer: -3\/1587704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -70 in decreasing order.\nAnswer: 0, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 - (216\/(-28))\/(-1). Let v be (3\/((-18)\/d))\/((-30)\/45). Let k(x) = -x**3 - x. Calculate the lowest common multiple of k(v) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:51 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98974959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.45, -1, 0.1, 359, 18 in decreasing order.\nAnswer: 359, 18, 2, 0.45, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20022431 - 1?\nAnswer: 20022430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3\/2 - 7*a**2 + 6*a. What is the remainder when 3 is divided by x(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201131103323 - -10?\nAnswer: -201131103313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/805, 1391, -1, -3.\nAnswer: -3, -1, 9\/805, 1391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2 + 9*f**3 - 2 + 324*f**2 - 319*f**2. Let w(g) be the first derivative of 5*g**4\/4 + g**3 - 140. Suppose 4*s - 7 - 33 = 0. Calculate s*w(d) - 6*t(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 3*a + 2. Let d = 4 + -7. Let o be x(d). Solve 1 = o*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 3*n - 44. Let u be 1\/(-2)*(16 - 14)*1. Is 2923*(n - 2\/u) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 2640872.\nAnswer: 13204360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, w: 1, b: 3}. What is prob of sequence bbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 386.358491 and -0.03.\nAnswer: 386.328491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, 0.5, 5, 23, 4, 6\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/17959 - -3035311\/1077540. Find the common denominator of (-1)\/(42\/(-193)) + -3 and z.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 > -2405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 + o + 1. Let f(b) = -2*b**3 + b**2 - 11*b - 6. Let a(c) = -f(c) - 3*k(c). Let y be 78\/(-15) - 4\/(-20). Determine a(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/(v*v**(-2\/17)))\/(v**(-2)*v**1\/v))\/((v**(-1)\/v**(3\/5))\/(v**(2\/21)*(v*v\/v**7)\/v)) assuming v is positive.\nAnswer: v**(-14614\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52844107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 105 = -3*j + j, 5*p - 70 = -5*j. Suppose 5 = 3*i - p. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0138053 to 4 dps.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 15*c + 2*c + 0*c**2 - 1 - 3*c**2 + c**4 in the form s*c**3 + h*c + q + n*c**2 + d*c**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 = -p + 158. List the prime factors of p.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - n, 5*c - 7 = 3*n. Let d(b) = -9*b - 9*b + 0 - 1 + 4*b. Determine d(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10778 divided by 317?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*h - 351, -y - 4*y + 635 = -5*h. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8062673 centuries in years?\nAnswer: 80.62673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 8. Calculate the lowest common multiple of 24 and o(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*i*(i*i**4*i)\/i)\/i*i)\/i)**26\/((i\/(i*i*i**7*i)*i)\/i*i*i*i**(-1\/3)*i))**(1\/40) assuming i is positive.\nAnswer: i**(113\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39138206 divided by 4?\nAnswer: 19569103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/5557860 and -11\/10.\nAnswer: 5557860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(40\/5 + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*h = -h - 130, -2*h = -5*i + 130. Let j = i - 10. Let l = 18 - j. Solve 7 - 1 = l*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 256\/9?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 x when two letters picked without replacement from pcnnx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in seconds?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*f + 38*f - 19*f)*(-4 - 8 - 2) to the form z + w*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*u**2 - 6 + 6 - 553*u**2 + 1 + 57*u**2 to the form p*u**2 + l + w*u and give p.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Let p be x(3). Suppose 4*r - 25 = -u + 5, 0 = 2*u + p*r - 42. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:02 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(95)*2 - (sqrt(95) + (sqrt(95) - (sqrt(95) + (sqrt(95) - -1*sqrt(95)))*2))))\/(sqrt(500)*-3 - (sqrt(320) - -3*sqrt(320))).\nAnswer: 12*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*sqrt(95)\/sqrt(5)*4*-3)**2.\nAnswer: 3545856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 5824654?\nAnswer: 122317734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4487, 8938, 13349, 17726, 22075, 26402?\nAnswer: 30713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152910 + 305820 - 10807*i - 152910 to the form w + v*i and give v.\nAnswer: -10807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:07 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 72. Sort -2\/3, -13, r, 1.\nAnswer: -13, r, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxggg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*o + 26 = -5*w + 149*o, 2*w - 3*o = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3139 divided by 1182.\nAnswer: 3139\/1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2081*n - 2076*n + 55 = 5*f, 5*f = 7*n + 55 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 472 + -1429\/3. Let n be (-46)\/(-4)*290\/25. Let v = n + -5681\/40. What is the common denominator of s and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(635*o + 1292*o - 920*o) + (0 + 0 + o)*(-3 + 0 + 4).\nAnswer: -2013*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-509 - 2051 - 2217 + 1024 - 586 - 1927)*(-2*r**2 - r**2 + 4*r**2).\nAnswer: -6266*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/4)\/((-175)\/(-280)))\/(6\/(-90))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 176.\nAnswer: 7040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 13 = 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-13 + 6))*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/3, 47\/17, -2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*p - 1 - 5*p + p + p + (-4*p - 3*p + 6*p)*(0 - 2 + 0))*(p + 4*p - 2*p) + (1 + p - 1)*(-4*p + p + 2*p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2. Let w be o(-5). Suppose 3 = -2*f - b - 91, 4*f - 5*b + 188 = w. Let u = 82 + f. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342133 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1496668250 - 0.\nAnswer: 1496668250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 12. Suppose -i + 2 = w. Let k(j) = j + 1. Let z be k(i). Sort -1, -3, z.\nAnswer: z, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dd6cb (base 14) to base 3.\nAnswer: 2000120121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47.26 - -47. Let y = o - 14.74. Let w = y + 14.9999986. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, 50, 4, -43 in decreasing order.\nAnswer: 50, 4, 2, -1, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -54\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.226 - 1.426. Which is the nearest to -5? (a) -0.1 (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/20)\/2)\/(4\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -38*q - 156 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 15*z + 5. What are the prime factors of g(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*g - 5*n + 176, 0 = g + 3*n - 54. Suppose -3*s + 2*z + 48 = -g, -5*s - z = -185. Let b = -26 + s. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:09 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248976 by -1.\nAnswer: 248976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + -6*(-4 + sqrt(704)*-2 + sqrt(704)) + 3).\nAnswer: 29 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 74. What is the highest common factor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**2 + 597179*w**3 + 32*w**2 - 597175*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, 768243 in decreasing order.\nAnswer: 768243, 39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 7:50 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-13)\/(26\/12). Let q be ((-8)\/12)\/(x\/30). Let s = 0.1 + -0.1. Which is the third biggest value? (a) s (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 100 + 41*n**2 + 64 - 40*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -5, -29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 71*i**2 - 17*i + 1245. Determine m(71).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 78535 + -14\nAnswer: 78521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 46 - 116. Let f = 880 - 6158\/7. What is the biggest value in f, 1\/6, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 201\/39 + (-4)\/26. Suppose -h*r + 40 = -10. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*l**2 + 3*l**3 + 5*l**3 + 21*l**2 wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 324 + 116 = 14*j + 579 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6326 + -63151\/10. What is the common denominator of -3 - 2\/(40\/(-142)) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:36 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*l + 22 = 2*c, -21 = 4*c - 5*l. Let w(y) = 3*y - 3. Let p(t) = 1. What is c*w(j) + 3*p(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-8) - 6\/(-2). Let u(i) be the first derivative of -q*i**2 - i + 4 + 6*i**2 - i**3 - i**2. Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901443.5um to meters.\nAnswer: 0.9014435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76741)\/(-87704)*(-10)\/(-21)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 + 0.13. Let a = n - 0.2. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6562 is divided by 126?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1547*w = -1550*w + 3*f + 678, 4*f = -28. Let u(t) = 3*t - 2. Calculate the remainder when w is divided by u(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 232320210?\nAnswer: -232320214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -0*w + k, 12 = w - 3*k. Is 5\/9 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 2343430.13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-5)\/30)\/((-10)\/1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381358?\nAnswer: 2, 47, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5818 + 6283?\nAnswer: 13212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3248)\/(-110) - (-14 + 15). Let a = l + -189\/5. Let j = a - -9. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 - 88 - ((-2 - -6) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1037 divided by -6375?\nAnswer: 61\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 + (-1 - (0 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8373304 divided by 8686.\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257948155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78533 is divided by 5298?\nAnswer: 4361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 501933357 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 2160.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 - 7*k - 1. Let m be u(-7). Let y be 0\/(m - -2 - -1). Let r be ((y\/3)\/(-3))\/2. Let w(j) = -j + 1. Give w(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 264*q**2 - 295*q**2 - 358*q**2. Let s(t) = -5*t**2. What is m(s(d))?\nAnswer: -9725*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 24*j + 39\/2*j**2 - 24*j**3 - 27\/2*j**4 - 6 = 0.\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 24 = 0. Suppose d = q*d - 125. What is the greatest common divisor of d and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87369 or 87297?\nAnswer: 87369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + 28d?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - f + 1. Let o(m) be the first derivative of 10*m**3 - 2*m**2 + 28*m + 22. Let h(x) = 4*j(x) - o(x). Differentiate h(q) with respect to q.\nAnswer: -44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 4, y: 2, n: 2, w: 1, v: 6}. What is prob of picking 1 w and 1 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbbbbbbbbbbbbb. What is prob of sequence bzb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 57*y - 53. What is the hundreds digit of h(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106 - -12) + -2 - (26 + -41)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (2*-3*-1*sqrt(192)*-5)**2).\nAnswer: -1036770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 11:38 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158685 divided by -71?\nAnswer: -2235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-2)\/4 - -1). Suppose 4*c - 9*c = 0. Let p = z - c. Solve p = -v + 5*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22617, 45143, 67583, 89937, 112205?\n\"Answer: -43*u**2 + 22655*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12330160 divided by -770635.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 12. Let i be s(16). Suppose -t + i*t + 44 = 2*g, 4*t = 3*g - 57. List the prime factors of (-2166)\/t - 3\/9*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.7048g in nanograms?\nAnswer: 66704800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 4*i**2 + 7*i - 7. Let o be c(5). Let x = o + -2. Solve -u = -x + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 3*c - 14. Let b be o(-6). What is the greatest common factor of b and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) + (-14 - -12) + 3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2. Suppose i - 3*b + 19 = 0, i + 5 = -5*b + 10. Let v be 30\/12*(-8)\/i. Let r(c) = 0*c**v + 3*c**2 - 2*c**2. Give u(r(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-51) - (-210)\/51. Solve -4*j - 3*x - 1 = 0, -4*j - 11 = -3*x + u*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2. Let n(h) = -h - 1. Let j(l) = 7*n(l) + 6*u(l). Let g(k) = 2*k - 1. Give 9*g(m) + 2*j(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(5\/(-3)) - 54\/10. What are the prime factors of (1 - 58\/n)*(-90)\/(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:30 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/12)*c)**48*(c**32)**(3\/13))**(-1\/16) assuming c is positive.\nAnswer: c**(-349\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9047647 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 + 282. What is the greatest common divisor of 117 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 1. Let c = 0.01754 - -0.48246. What is the second smallest value in c, 3, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/1)\/(1\/2). Suppose b*i = -i + 186. Let k = 98 - i. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46548636.\nAnswer: 2, 3, 1621, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1441, 1443, 1445?\n\"Answer: 2*m + 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56903368 is divided by 2149.\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 352024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 350 = 5*x, 278 = -0*x + 4*x - 2*w. Let d = x + -62. Put 7\/3, d, -0.1 in increasing order.\nAnswer: -0.1, 7\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slmihllhimihsihhsmm. What is prob of sequence msl?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-102) + (35\/6 - 1). Let l(k) be the first derivative of s*k - 1\/2*k**2 - 5. Differentiate l(d) with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f + 1 + 20 + 29 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 2*u, 4*d - 319*u + 314*u = -25. Which is smaller: 394\/77 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 + 15*l**3 + 14*l**3.\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*p - 578*p = -293*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + 14\/(-49). Suppose j = 2*t + 2*q - 48, q + 93 = 5*t - 3. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**2*j**5*n**2 + 40*g**2*j**3 + g**2*j**2*n**2 - 3*g**2*j*n**2 - 2*g*n**2 + 3*j**2*n**2 wrt j.\nAnswer: -180*g**2*j**2*n**2 + 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.04, 1880590?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - 320\/30)\/(-1 + 2)*6. Suppose -b - b + 2454 = 0. Let p(z) = -1233 + b + 7*z + 3*z + z**r. Calculate p(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (-16 + (1 - -11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5150130 + -3?\nAnswer: 5150123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 - 0.279867\nAnswer: -2.679867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -2 + (-4)\/10*15\/(-2). Let f(j) = -18*j - 3. Let c(d) = 19*d + 4. Determine h*c(i) - 3*f(i).\nAnswer: 16*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b = 171*b - 2222 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2061 or -2060?\nAnswer: -2060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6*g\/(g*g**1))\/(g**(-1))**32)\/((g*g**(-1\/4)\/g*g*g)\/g**(2\/7))**(-27) assuming g is positive.\nAnswer: g**(2143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.222 + 0.578. Let s = -0.92 + 0.82. Suppose -4 = -d + 3*d. Which is the closest to s? (a) u (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 2*z + 7*z in the form u + t*z and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 5*t + 75)*(0 + 4 - 2)*(22*t - 25 + 25).\nAnswer: -220*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -457.77 + 0.0993.\nAnswer: -457.6707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17336, -17337, -17338, -17339?\nAnswer: -17340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -25. Suppose 2*m + 2*m - 16 = 0, -2*d + b*m = 4. Suppose 4*j + d*a = 220, j + 43 = 2*j + 4*a. List the prime factors of j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -12, 5, 1 in ascending order.\nAnswer: -12, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (-5 + -3*sqrt(300))*-3.\nAnswer: 10 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.7 - -9.5. Let w = -31.2 + v. Which is the closest to 7\/11? (a) w (b) 0.2 (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*w**4*x + 5*w**4 - 97*w**3 + 4*w**2*x + 345*w**2 + 163*w*x wrt w?\nAnswer: -3192*w*x + 120*w - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.051 * 340.\nAnswer: 17.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -166, -147, -110, -49, 42, 169?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 7*n - 32. What is x(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2 - 2) + 6 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 9. Let l be i(0). What is the remainder when 3 - 29\/l - 2092\/(-18) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*l**4 + 512*l**3 + 17523*l**2?\nAnswer: -1032*l + 3072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5384 to two dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(6\/(-14)*1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*p + 79*p - 650*p + 638*p + 487*p.\nAnswer: 657*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1991937, -1991566, -1990949, -1990086, -1988977?\n\"Answer: 123*t**2 + 2*t - 1992062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 161796 - -53?\nAnswer: 161839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*j**2 + 112*j**2 - 172*j**2 + 442*j**2 + 226*j**2 + 416*j**2.\nAnswer: 915*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001209771888 rounded to five decimal places?\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/108 and 55\/576.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 24*g = -21*g - 4397, -3*m + 2*g + 2623 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1990234.99885 + 1990276. Let d = -41 + q. Round d to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(396) + 2 + -5.\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*t**3 + 692*t**3 - 589*t**3.\nAnswer: -354*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124453 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -37.20193399 and 1397.\nAnswer: 1359.79806601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 8. Let o be f(8). Suppose o*n - 20*n = 0. Let m be (4 - n) + -2 + 3. Solve -3*a = -8*a + 5, -25 = m*u - 5*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 85 + -1 + -2 + 2. Suppose 0 = 5*c - 2*c - b. Suppose -3*n + 24 = -6. Calculate the remainder when c is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1594 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9\/5)\/r*r*r)\/(r\/((r\/(r\/(r\/(r\/(r\/((r**5\/r)\/r))))))\/r)*r) assuming r is positive.\nAnswer: r**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -267472 divided by -292?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190926 is divided by 1411?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g = 0. Suppose g = 3*v - 28 + 25. Determine w so that -v + 3\/2*w - 1\/2*w**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**7\/210 - 2*o**5\/25 - o**4\/10 + 7*o**3\/30 + 3*o**2\/5 + 27*o. Find u such that r(u) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -12. Let u(o) = -30*o**2 - o - 2. Let x be u(-1). Let k = x + 26. Put k, -4, p in decreasing order.\nAnswer: p, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -99, -113, -127?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 482, 479, 486, 509, 554, 627, 734?\n\"Answer: g**3 - g**2 - 7*g + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 91352 = 996152. List the prime factors of m.\nAnswer: 2, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -915\/28 + 129\/4. Let a be (-6)\/33 - (1 + -1). Sort a, 0.5, t, -0.06 in descending order.\nAnswer: 0.5, -0.06, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 + 141. Is 7 a factor of ((-56)\/h)\/(2\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z - 6*z + 15*z + 3*z - z - 3*z - 4*z + 5*z + z - 3*z + 0*z + 5*z + z - 2*z - z + (0 - 3 + 5)*(-2 + 2 + 2*z) - z + z + z + 5*z - 2*z - 5*z - 2 + z + 2.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 - (1 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -42. Let u(l) = -l + 5. Let k be u(3). Solve -3*c - x = 5*d, 0*c + 2*c = -k*d + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -45) + -106 - -33 - (-1 - -1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*s - 15, 393*u - 391*u - 6 = -5*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(132) - sqrt(132)*2)*1 - (sqrt(132) - (sqrt(132) + (sqrt(132) - 3*2*sqrt(132))))))\/((2*sqrt(48) + sqrt(24)\/(sqrt(8)\/sqrt(4)))*4))**2.\nAnswer: 891\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {x: 3, g: 3, q: 3, k: 4, f: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 9*t - 6. What is j(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19243560 rounded to the nearest 10000?\nAnswer: 19240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Suppose -r = t*r + 50. Let u = r + 24. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 2399289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -24 + 3 + (16 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a - 16*a - 4 + 23*a - 79*a**2 + 24*a**2 in the form d + v*a + m*a**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -3*a - 5, -2*a + d = 0. Let x = 11 + 7. Suppose 3*o - 13 = 3*p - 5*p, 2*o - 4*p = -x. What is the greatest common factor of o and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4\/3 - 470338*r**3\/3 - 2351657*r**2\/3 + 3762712*r\/3 + 7525328 = 0.\nAnswer: -470333, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 16, -7.23, 970 in decreasing order.\nAnswer: 970, 16, 0.1, -7.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000001001001000010001101 - 1?\nAnswer: 100000001001001000010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039941 to 4 decimal places.\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1133274334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779910?\nAnswer: 2, 3, 5, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 126620?\nAnswer: 126615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-16)*3)\/(((-891)\/12)\/9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341356635*i**2*z - 3855*i*z + 14099*z + 3 wrt i?\nAnswer: 682713270*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4074 + -3557. Calculate the highest common divisor of o and 1175.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**4\/12 + p**3 - 2*p**2. What is the lowest common multiple of v(7) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwwwwxwxxww. What is prob of sequence wwx?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:13 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*a + 10 = 0, -3*z + a = 5*a - 15. Solve -k = -z*g - 5 + 13, 2*g - 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 184866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 16*k + 18. Let f be i(-15). Suppose -y + 2 = 3*w, -f*y - 1 + 7 = 5*w. Suppose c = -b - 2*c + 98, -y*c = -10. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4 from -132422396888.\nAnswer: -132422396886.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h**15*h)))\/h*h**(2\/3)*((h\/(h*h\/h**15*h))\/h)\/h**(2\/7))**(-1\/13) assuming h is positive.\nAnswer: h**(-596\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0)\/((-1)\/(-1)). Let u = 1.07 - 0.27. Sort 2, p, u in increasing order.\nAnswer: p, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10205 and 99.\nAnswer: -10106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-766*x + 710*x - 2013*x)*(-2 + 0 - 4) as a + d*x and give d.\nAnswer: 12414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-5) + (-9 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**10))**(-5\/19)*g*g**(-4)*g*g\/(g**6\/g*g))**(2\/81) assuming g is positive.\nAnswer: g**(-166\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.02, -5, -3, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a + 11. Let z be n(0). Let j(k) = -k**2 + 6*k + 1 - z*k + 4*k. What is j(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = 4*r - 9*r + 5*w, 4*w = -4*r + 432. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -4. Suppose 2*o - p*v = -v + 107, 5*o - 270 = 5*v. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooobobbooohoo. What is prob of picking 1 o and 1 h?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(242) - sqrt(242)*2))**2 + ((sqrt(10) - (sqrt(10)*4 - sqrt(10)))\/sqrt(5) - (-5 + -1 + sqrt(2))).\nAnswer: -3*sqrt(2) + 151256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, x: 2, h: 1, m: 2}. Give prob of picking 1 m and 3 c.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -21*h + 22*h. Suppose -a - x - h*x = 16, -5*a = 5*x + 20. Solve 0 = -i - a - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*o + 0*o = -41, 2*o + 12 = 4*a. Let g(l) = -l**2 + 5*l + 2. Let k be g(a). Suppose 0*p = -p - 5*i + 17, 29 = p + k*i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23677, 23656, 23621, 23566, 23485, 23372?\nAnswer: 23221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43881607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 + 15*r**2 - 8*r - 16. Let h(f) = -3*f**3 + 15*f**2 - 7*f - 16. Let i(w) = 5*h(w) - 4*z(w). Is i(-15) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1674.3 (b) -0.1 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 0 + -1 - (364 - 362).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -116\/593 at least as big as -2456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 8 = -38 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1139, 2284, 3435, 4592, 5755?\nAnswer: 6924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 4*d**2 + 3*d - 1. Let g be b(2). Let r be 3 + (3 - 0) + g. Factor -1 + 4*w**2 + r*w - w**2 - 5.\nAnswer: 3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44100521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w - 10. Let i be z(12). Let k be (-6)\/12 - (-5)\/2. Solve -2*t + 3*t = -i*x + 12, k*x = -3*t + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkpkkkpkkk. What is prob of sequence pkp?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = z + 1. Let c = 8 + z. Suppose g = -5*h + c, -2*h + 5 = -0*h - g. Solve h*v = 0, 0*v - 2*v = -5*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -27. Let d be (5 - 5)\/1 - 4. Put 4, r, 1, d in increasing order.\nAnswer: d, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4738, -4770, -4802, -4834?\nAnswer: -4866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - (-4)\/14. Let m be (2\/6)\/(7\/(-21))*-3. Suppose m*x + 11 = -j, -3*j - 2*x - 3 = 2. Sort 2, j, k.\nAnswer: k, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-187)\/22 + (-2)\/(-4). Let n = 14 + o. 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: What is 215178 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -696 + 1309. Let n = -612.8788 + g. Let q = 0.13 - n. Round q to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 111*l. Let x(m) = -4*m**2. Calculate b(x(d)).\nAnswer: -444*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1000001*v**2 - 21. Let k be p(5). Suppose 3*n - k = 5*a + 4*n, 4999984 = -a + 4*n. Round a to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-11)\/((-99)\/(-756)). What is the highest common factor of 286 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/5)\/a**(9\/2) assuming a is positive.\nAnswer: a**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and 2504.\nAnswer: 2503.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19 + 1)*(-32)\/(-80). Let j = 0.6 - -0.4. Which is the closest to j? (a) 4 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 7. Let m be a(-5). Let o(x) = -7*x + 2 + x**m + 6*x + 0. What are the prime factors of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*c + 1497 + 1647 = 52*c + 7*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/588)\/(((-510)\/(-119))\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 164 = -8*h - 0*y, -2*h - 4*y = 28. Let a(l) = -15*l - 335. Calculate a(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136\/298893 or 1?\nAnswer: -136\/298893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4956 - 801 + h - 3*h.\nAnswer: -2*h + 4155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**7\/2520 + m**6\/60 - m**5\/12 - 3*m**4\/4 + 25*m. Let x(v) be the third derivative of k(v). Let c be x(12). Does c = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {p: 1, b: 5, v: 1, y: 3, g: 1, k: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024216077?\nAnswer: 3, 341405359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34 and -0.12832737?\nAnswer: 33.87167263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -99*m + 4. Let a(b) = 49*b - 2. Suppose -49*v - 60*v = 178*v + 1435. Calculate v*a(q) - 2*i(q).\nAnswer: -47*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 11*u**2 - 5*u + 2. Let f(l) = -7*l**3 - 23*l**2 + 10*l - 4. Let a = 7 + -3. Let h(t) = a*f(t) + 9*o(t). What is the units digit of h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326 and 64588.\nAnswer: 10527844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -31. Suppose 0 = -3*a + 5*g + 22, -4*g = 14 + 6. What is the tens digit of a - p - -1 - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -21112?\nAnswer: -21103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihciinhi. Give prob of sequence ii.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a + 21109 + 4962 = 0. What is the units digit of -15 + 11 + (3 - 1*a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(70\/(-135)*3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4020787500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137053 > 685262\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + 5*l - c, -2*l + 26 = 5*c. Calculate the highest common factor of l and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/11*h + 12\/11 - 1\/11*h**2 = 0. What is h?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1178443*k**2 + 2*k**3 + 589224*k**2 - 15 + 589219*k**2.\nAnswer: 2*k**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/7 - 216*i\/7 - 2255\/7 = 0?\nAnswer: -205, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 171 = 7. Let k = -47 - n. Let l(x) = x**2 + 5*x - 7. Give l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5465 (base 14) to base 3\nAnswer: 202000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/5 (b) 5\/6 (c) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4269.9 rounded to the nearest ten?\nAnswer: -4270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*s - 14, 2*s - 4 = -5*h - 2. What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46817 * 0.3.\nAnswer: 14045.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-15 - (-618)\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1383.\nAnswer: -5\/1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r - 11 - 8*r - 4*r. What are the prime factors of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/3 - 12*h - 2994. What is b(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59641485 - 22272.\nAnswer: 59619213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2.8 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:20 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -19, -44?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 2*b - 6. Let q be w(-4). Let p be q\/(-23)*(17 + (-1)\/1). Suppose 29*f - p*f + 1023 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2. Let v(x) be the third derivative of x**6\/120 - x**5\/30 + 75*x**2. Give 4*b(n) - 10*v(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + 15 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:07 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5304*q**4*y + 4*q**4 + 14*q**2*y - 2*y - 4 wrt q.\nAnswer: 127296*q*y + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 102, 106?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 - -79. Which is greater: k or 11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cc - -e?\nAnswer: -be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 8:15 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23587 - 5305?\nAnswer: -30003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -36601.317\nAnswer: -18300.6585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:02 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126 - -aa97?\nAnswer: a971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281232.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/((z*z*z\/(z\/(z**12*z))*z*z)\/z))\/z*z*z**(20\/7)\/z assuming z is positive.\nAnswer: z**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by (38 - -48) + (-7)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 21*i + 25. Let z be x(20). Let r be 1\/1 - (-24)\/(-8). Sort z, -4, r, 2.\nAnswer: -4, r, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -5*j - 276. Let l = -1 + 3. Suppose 3*p - 3*x = 66, 0 = -l*p + 5*x - 10*x + 51. Calculate the highest common divisor of p and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 726 + -618. Let r be (1\/(-3))\/(t\/(-972)). Factor -8\/3*k**2 - k + 2\/3 - k**r.\nAnswer: -(k + 1)*(k + 2)*(3*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 38*q - 342. Let h be m(9). Sort -3, h, -39 in decreasing order.\nAnswer: h, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 766 - -403. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 47. Give t(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7568 and 17\/4730.\nAnswer: 37840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 19*k = 15*k + 990, 4*o + 2*k - 1330 = 0. What is the lowest common multiple of 8 and o?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1642048466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-105))\/(((-1265)\/45)\/11).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1240 = -4*x, 3*x - 248 = -5*f + 4*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Suppose -12 - 58 = -q*m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*a - 229 = -224, -5*x + 2*a - 23 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-11)*k\/(k*k**(-7)*k)*k)\/(((k\/(k**(2\/29)\/k*k))\/k*k)\/(k*(k\/(k**7*k*k))\/k*k*k)) assuming k is positive.\nAnswer: k**(350\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, d: 3, h: 2, v: 9, l: 1}. What is prob of sequence kvld?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 15) to base 2.\nAnswer: -11110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, -3, -16, 1 in descending order.\nAnswer: 151, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 23*r + 92. What is g(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + s**2)*(5*s + 0*s + 2*s) + (-25 - 25*s + 25)*(2*s**2 - 4*s**2 + 0*s**2)*(-5 - 2 + 5) as i*s + l*s**2 + w + d*s**3 and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -96789 (base 11) to base 8\nAnswer: -422633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkvvctvfkck. Give prob of picking 1 t, 1 m, 1 k, and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 698, 697, 696, 695, 694, 693?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 2. Let b(h) = -h**3 + 6*h**2 + 2*h - 6. Let q be b(6). Let n = -3053 - -3058. Let v(z) = -2*z - 2. Calculate n*v(l) + q*o(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 13*i**2 + 33*i - 9. Let u be x(-5). Let q = u - -241. Which is the second smallest value? (a) -0.3 (b) 0.4 (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/((-3)\/(-9))*-3. Suppose 223 = c*b + 511. Sort b, -1, 1.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26243*i - 6*i**3 - 26247*i + 52490*i.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a - a**2 - 2*a - 20 - a - 4. Let m be y(-8). Solve -f + 4 - 3 = m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5 = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2490 and 465?\nAnswer: 77190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)\/c)\/(c**1\/c*c*c))**(-28\/5) assuming c is positive.\nAnswer: c**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.81 - -8.81. Is 860 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881\/(-12)*-4 - (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7418, 14849, 22280, 29711, 37142?\n\"Answer: 7431*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376577486 is divided by 222?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -4 - 1)*-13. Let p = f + -6. Factor -p*r - 14*r**3 - 4*r**4 - 8 - 33*r**2 - 6*r**3 + 5*r - 3*r**2.\nAnswer: -4*(r + 1)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*i - 3*u, 4*i + 2*u + 2 = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(612)*2 + sqrt(612) + sqrt(612)))**2 + sqrt(170)\/(sqrt(10)*-2) + -2.\nAnswer: -sqrt(17)\/2 + 352510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 2*d + 4. Let b be w(2). Let n(k) = -3*k**3 - 21*k**2 - 8*k. Does 6 divide n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.023 and -8.2?\nAnswer: 8.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apbb when four letters picked without replacement from {p: 5, i: 1, b: 4, a: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 459 + 907. Is n a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {g: 1, r: 1, a: 1, i: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.32 in 2, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2048 = d, 2*d - 3*i - 1599 - 2546 = 0. What is the remainder when d is divided by 209?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/61? (a) 3\/8 (b) -1\/4 (c) 0.5777 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(-144)*((-10)\/8 + 1 + (-549)\/(-5124)).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by -4.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120652 - -110.\nAnswer: 120762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8)*a)**26*((a**(-47)\/a*a)\/a*a)**20 assuming a is positive.\nAnswer: a**(-3643\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 1. Let q be w(-2). Suppose 0 = -q*k - 5*d + 4*d + 13, -2*d + 12 = 3*k. Find the second derivative of -68*v**2 - 3*v**4 + 68*v**k - 2*v wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + 151?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -332230024 (base 5) to base 7\nAnswer: -15200456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550190604.\nAnswer: 2, 4831, 80221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*p - 73 = 413, -5*p = -5*y + 585. Let a = -132 + y. Let m be (15\/(-6) - -2)*a. Calculate the greatest common divisor of m and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**3 - 4*g**2 + 4*g + 1. Let m(j) = -6*j**3 - 4*j**2 + 4*j + 2. Let z = 14 + -12. Let n(s) = z*t(s) - 3*m(s). Factor n(l).\nAnswer: 4*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11575*g**3*w**2 + 189*g**3 - 922*g**2*w**3 - 2*g**2*w + g*w - 356*g wrt w.\nAnswer: 23150*g**3 - 5532*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1671 + 1823. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {u: 1, q: 1, y: 1, f: 1, w: 2, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 490.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1330 + 0?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 727.\nAnswer: 1","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 {l: 2, s: 2, k: 2, q: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u - u)*((4 - 2 - 4)*(-5*u + 3*u - 9*u) - 19*u + 7*u - 56 + 10*u) - 6*u**2 + 0*u**2 + u**2 + (1 - 1 + u)*(-2*u + u + 0*u) + u**2 + u**2 - 3*u**2.\nAnswer: -47*u**2 + 112*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 54. What is b(0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -12006450199 and -98.\nAnswer: -12006450297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -0.226585?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g. Let v(r) = -r**2 - 3*r + 17. Let d be v(-5). Suppose p + 3 - d = g. Calculate the remainder when 9 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39, 84, 201, 426, 795, 1344?\n\"Answer: 6*w**3 + 3*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -228103 + 1?\nAnswer: -228102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -178, -676, -1506, -2668, -4162, -5988, -8146?\n\"Answer: -166*s**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 128? (a) 0.1 (b) 0.02 (c) 28 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:05 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9054 - -9054.2. What is the closest to -0.1 in 183, 6, t, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 12. Let x = -1089 - -1090. What is the least common multiple of z(-5) and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 28. Factor z*m**2 - 3*m**4 + 3*m**2 + 5*m + m - 6*m**3 + 0*m**4.\nAnswer: -3*m*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1. Let y(x) = 5. Let o(p) = 6*u(p) + y(p). Suppose -5*w - 31 = -6. Let n(l) = -l**2 + l - 5. Give w*o(m) + n(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + 5 + sqrt(7) + (sqrt(7)*-2*-5 - sqrt(7)) + (sqrt(7) - (-1 + sqrt(7))*5 - sqrt(560)\/sqrt(5)))**2.\nAnswer: 60*sqrt(7) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91458 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -728, -725, -722, -719, -716, -713?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9858, -9998, -10124, -10230, -10310, -10358?\nAnswer: -10368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/30 + 19\/(-5). Let a be 3*j\/(24\/(-106)). Suppose 0 = -3*f + a - 5. Calculate the smallest common multiple of f and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r + 4, -r + 4136 = 3*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*w - 171 + 182 = 0, -5*m + 13 = -w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 107*u - 49*u + 58*u)*(-1 + 0 + 2).\nAnswer: 116*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*u**2 - 154*u**2 + 303*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101011001101100111101 - -11100?\nAnswer: 1110101011001101101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22991032.\nAnswer: 2, 2873879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 89 + (-7)\/(105\/(-6))*5. Let r = 134 - v. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4615 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:35 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t**5 + 6*t**2. Let j(u) = 14*u**5 - 7*u**2. Let h(r) = 5*i(r) + 4*j(r). What is the third derivative of h(z) wrt z?\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*j + 715, -4*f + 5*j - 333 = 244. Let m be f\/8*(-9)\/(-27). Let o = -47\/8 - m. Find the common denominator of 31 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {h: 1, m: 1, j: 1, n: 2, a: 1, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 + 144 = 0. Calculate the smallest common multiple of i and (-446)\/(-10) + 3\/(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -15, 7*s = 2*s - 4*w - 10. Suppose -2 = d - 4*c - 0, -s*c = 5*d - 34. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*t - 0*d - 6, 4 = -4*t + 4*d. Suppose t*u = -5 - 27. Let q = -5 - u. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18044419*q**2*r - 129*q - 213039*r wrt q.\nAnswer: -36088838*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5154500\/10 - (1 - 3). Suppose 5394548 = 15*x - a. Round x to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 14. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 30. Let h be k(4). Suppose 2*s - 190 = -2*u + 3*s, s = h. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 - 582*a - 2031. What is v(61)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24853.4987 rounded to the nearest 10?\nAnswer: 24850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzazqfzzf. What is prob of sequence qa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*b**2 - 308*b + 305*b + 7 + 8 - 19 to m*b**2 + g*b + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -468.5 rounded to the nearest 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 31 - (-1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20634*w**5 + 28*w + 92?\nAnswer: 412680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 w when three letters picked without replacement from {y: 3, h: 2, g: 1, u: 5, k: 1, w: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1123*l**2 + 3. Let q be m(-2). Let t = 1505 + q. What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-28) - (-42)\/(-168). Let l = 6.5 + -6. Which is the nearest to 1? (a) -1\/14 (b) -1\/3 (c) l (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a**2 + 0*a)*(-1 - 2 + 1)*(a - a - 2*a)*(2 - 2 - 7).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -29. Suppose -4*j + m = -3*u, -j + 11 = j + 5*u. What is the greatest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3*p + 16 = 0. Suppose -5*u + y + 33 = 0, -8 = -p*y - 0*y. Solve u = i - 4*z, -3*i = -7*i - 5*z + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -2*w**2 + w - 1. Let v(b) = -3*b + 52. Let z be v(17). Calculate p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 - 4*p - 3*p + 10*p + p**2 - 2*p + 5 + 2*p**3 in the form m*p**2 + i*p**3 + b*p**4 + k + z*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 5, -45 in ascending order.\nAnswer: -45, -5, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2 - 2 + (-j - 2*j + j)*(1 - 2 - 1) + j - j + 2*j + (-4 + 3 + 3)*(6*j - 3*j - j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d - 44. Let w be o(-15). Calculate the highest common factor of w and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 577*a**2\/2 + 3431*a\/2 - 2855\/2.\nAnswer: (a - 571)*(a - 5)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(11)*-4)*3 - sqrt(11))*-1 - (-4*3*sqrt(176))**2.\nAnswer: -25344 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100, 390, 874, 1552, 2424, 3490?\n\"Answer: 97*x**2 - x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/55 + 508\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 - -160. Suppose -7*u + 3*u + 2*w - 4 = m, -3 = 3*u - 5*w. Let h = 1 - 0.9. Which is the closest to h? (a) 0 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 7*o**6\/1200 - 4*o**5\/75 + 11*o**4\/60 - 4*o**3\/15 - 2*o**2 + 21*o. Factor n(m).\nAnswer: (m - 2)**2*(7*m - 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + -41.03. Let u = 39.7 + y. Let m = u + 1.3000014. Round m to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 160 = -11*n. Let a be (30\/n)\/(11\/8). Is 2 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*l**4 - 1375294*l**3 - 2104886*l**2 - 41 wrt l?\nAnswer: 1488*l - 8251764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1837\/2 - -921. Which is smaller: i or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**3 + 877*s**2 + 24435*s wrt s?\nAnswer: -24*s + 1754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1353 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41191*t + 13718*t + 13724*t + 13730*t - 194*t**3.\nAnswer: -194*t**3 - 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1542 = 3*p, -2*p - 2*p + 1528 = 4*x. What is the derivative of -384*u - 25 + 18*u**4 + x*u wrt u?\nAnswer: 72*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4146 - -6290. Is 67 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112*-8\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028113 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 + -1 + 1. Let d be (-2)\/17 + (-78863)\/289. Let n = -272 - d. Which is greater: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -33 + (-5 - (0 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.12+1452367\nAnswer: 1452367.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/731?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*y + 4*j**3 + 52*j**2*y - 145*j**2 - 98*j*y + 675*j wrt j?\nAnswer: 12*j*y + 24*j + 104*y - 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 11*x + 2. Let i be p(11). Let v be (72\/(-16))\/(i\/(-4)). Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20191*z**2 + 80756*z - 35. Calculate s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 100. Calculate the remainder when 49 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 + -7.15. Let v = -56\/165 - 2\/33. What is the second biggest value in -3, v, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -2, -6, -10, -14?\n\"Answer: -4*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/3 - -4)*-26*7735500\/9. What is a rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10675, -10662, -10647, -10630, -10611?\n\"Answer: q**2 + 10*q - 10686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 - 3 = -3*s, -5*y = -2*s + 45. Let n(l) = -3*l + 4. Let u(o) = o**3 - 4*o**2 + 2. Let q be u(4). Let x(g) = -16*g + 21. What is q*x(r) + y*n(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - 26) - (-1191 - -1211).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.7 - -16. Let d = g + 0.6999936. What is d rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80, -961, -3390, -8123, -15916?\n\"Answer: -126*u**3 - 18*u**2 + 55*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84.0279 and 0.1.\nAnswer: 8.40279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(77)\/(sqrt(11) + 2*sqrt(275)) + (-4*sqrt(1008) + 5)**2).\nAnswer: -32306 + 10558*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37411 + 67?\nAnswer: 37500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*b + 3*b + 1329, 438 = b + 4*y. Suppose -3*i - 4*g + 433 + 180 = 0, -2*i + b = -4*g. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10202 + -11?\nAnswer: 10131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 295*i - 5497. Let g be u(-20). What is the third biggest value in -4, -2, 30, g, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3181909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 2*h - 44. Let b = -15 + 21. Suppose k + 18 = 4*a, -36 = -h*a - 5*k - b. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41394 is divided by 1964?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 24 = x. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 2*x + 128 - 2*x - 121.\nAnswer: 9*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48978462 to the nearest integer?\nAnswer: 6998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224705464 - -224705467.80000107. Let t = w + -3.8. Round t to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 19 = 5*z, -z + 17 = p + 2*z. Let g = 0 - 13. Let s = 20 + g. What is the remainder when s is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 5, e: 5, s: 2, k: 6}. Give prob of picking 1 e, 1 n, and 1 s.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 843.8 - 844. Which is the biggest value? (a) -1.4 (b) o (c) 4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 325*k**2\/2 - 312*k - 244. What is the first derivative of t(a) wrt a?\nAnswer: 325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**3 + 12*q**3 - 3 - 20*q**3 to u*q + r*q**3 + m*q**2 + y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2511135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -89 - 151. Let j be 185 + (7277\/1045 - 4\/(-110)). What is the highest common factor of b and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 5, i: 1, q: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2542.\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 3)*(-49*o + 5 - 5)*(62 + 27 - 18) in the form v*o + g and give v.\nAnswer: -13916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-9))\/(-5)*243. Let j be 180\/b - 4\/18. Let y be (-1)\/((5\/(-16))\/5). Solve -j*q = t - 3*t + 12, 2*t - y = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -8*x - 20. Suppose f + 44 = 3*f. Let y = x - f. Solve 4*t + y = -4*q, 3*q + 2 + 2 = 2*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22151\/757 or 0.1?\nAnswer: 22151\/757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.2, 0.0679, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 6. Let d be n(8). Let l(h) = -18 - 25*h + d*h + 14*h. Does 22 divide l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10340311 + 43312?\nAnswer: 10434123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -7773.868.\nAnswer: -7772.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 less than or equal to 26552.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 + 2817 = 30*h. Solve 67*i + 2 = h*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137\/196 + 3\/196. What is the nearest to s in -4, 3\/2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/4 - 4*o**3\/3 - o**2\/2 + 3*o + 1. Let i be (-16)\/(-6)*(-6)\/4. What is p(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2*l**3 + 5. Let k(f) be the second derivative of f**4\/3 - f**2\/2 + 1166*f. Give s(k(v)).\nAnswer: 96*v**4 - 48*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16244*10\nAnswer: 162440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + (7 - (-21 - (-37 + (13 - 4))))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = p - 365, -p = 4*p - 25. What is the common denominator of (3\/6)\/(12\/94) and -1 - (7\/(-28) - (-146)\/r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b - 1. Let g be q(3). Let i(l) be the second derivative of -l**5\/20 + l**4\/3 + l**3\/2 + 3*l**2 + 680*l. Give i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7436 and 156.\nAnswer: 22308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*m - 2*t - 13, 4*m - 88 = 5*t. Let h = m + 1. Suppose 0 = 4*u - 3*u - h. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 35594?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bqqqqbbbqbbbbbbbbbbb.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 3*q**2 + 2*q + 2. Let l be h(-3). Let f(c) = 2*c**2 + c - 8. Let d be f(l). Suppose 12*k = 16*k + d. Sort 5, 1, k, -2.\nAnswer: k, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 849, 2\/15, -0.4, -2\/19, 2, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2164 - 2154. Do y and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4206, -8583, -12960, -17337, -21714, -26091?\n\"Answer: -4377*u + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-18)\/(-42)*56\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 5, -1, 6.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 73. Let n(z) = -u - 4 - 11 + 10 - z. Let k(p) = -p**2. What is n(k(f))?\nAnswer: f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125 or -624\/5?\nAnswer: -624\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = -3*a + 2, -2*a = -5*o - 9. Let z(b) = 0*b**a + 6*b**2 - 2*b**2. Let d(k) = 1 - 1 + 2*k. Give z(d(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-3 + 6 - 0))*0. Suppose v + 2146 = b, -3*b - 4*v + 6459 = -c*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6 and -55\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 4. Let r = -40 - -58. Suppose -5*s - r = s. Determine j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*t + 66 - 69, 3*z = 5*t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t - 96. Let m = -9333 - -9323. Determine r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -25 - 3*m - 2*m**4 + 4 - 4*m**4 + 0*m**3 - 15*m**3. Let q(i) = -3*i**4 - 7*i**3 + i**2 - i - 10. Let r(t) = 9*q(t) - 4*z(t). Factor r(l).\nAnswer: -3*(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18303922 divided by 2614846?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0*r**2 + 2*r**2)*(1 - 5 + 0)*(r - 2*r + 8*r).\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l. Suppose -7 = d - 2*s, -6*d + 9*d + s - 14 = l. Solve 0 = -3*n - d - 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 12*b. Let d be c(0). Solve d = 37*o - 41*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -1\/416997?\nAnswer: -1\/416997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81880880 to the power of 1\/2, to the nearest integer?\nAnswer: 9049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 1252, 2770, 4916, 7702?\nAnswer: 11140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0*n + 0*n**4 + 0 + 17\/70*n**7 + 0*n**6 + 0*n**3 + 9\/20*n**5 - 14*n**2. What is the third derivative of y(a) wrt a?\nAnswer: 1224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -72\/13 (b) 4 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 35*t**5\/12 - 5*t**4\/24 - 5*t**3\/3 + 84*t**2. What is the units digit of i(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 - (-16)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/201 in 1, -19, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j**2 + 30*j**2 + 6*j - 16*j**2 - 2. Let a be t(-7). Let f = -4 - -6. Solve 0 = -f*p - 3*w - 6 - 7, -26 = a*p + w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2321*t - 4 - 929*t + 1 + 3.\nAnswer: -3250*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.367953 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.17 - 0.17. Let n = -10.96 + l. Let z = -0.44 + n. What is the third smallest value in -2\/15, z, -1\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/3))\/((q**(-1\/4)\/q)\/q*q*q) assuming q is positive.\nAnswer: q**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(-42))\/(684\/(-14))*(-348)\/36 and -35\/216?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t + 2411 - 2443 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 11*o**7\/105 + 5*o**3\/6 - 2*o**2 + 2*o. Let g(a) be the first derivative of y(a). What is the derivative of g(p) wrt p?\nAnswer: 88*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 10*f - 12. What is the units digit of x(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3114, 6206, 9280, 12336?\n\"Answer: -9*u**2 + 3119*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -28\/9*z + 2\/9*z**2 + 16\/3 = 0.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 + -184. What is the lowest common multiple of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56769023 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48176 + -48180. Suppose 0*j + 4*r = -3*j + 74, 0 = -2*j + 3*r + 38. Put -3, z, j in increasing order.\nAnswer: z, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 78. Let k = 25 + x. Let h = -64\/21 + 10\/3. What is the nearest to 1\/2 in k, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*r**3 - 60030*c - 36685*r**4 wrt r.\nAnswer: -6*c*r**2 - 146740*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 9*m - 12. Let r be u(12). Calculate the greatest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -3 (b) -0.1 (c) 2\/5 (d) -1\/12 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176375867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 - 15890207*g - 95341206 = 0 for g.\nAnswer: -15890201, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1) + (8 - (-1 - -6)). Solve u = h + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137867322 to the power of 1\/2, to the nearest integer?\nAnswer: 11742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u**2 - 4*u + 5. Give g(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(6 - (0 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7657181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 7091520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 1169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.245 times 0.062\nAnswer: 0.01519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toataaaaaa. Give prob of sequence ao.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**3 + r**2 - 1. Let u be h(-1). Let o = u - 4. Suppose 0 = -p - o*s + 159, 0*p + 167 = p + s. Calculate the greatest common factor of p and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 165.\nAnswer: -12, 1, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28528.008 + 28665. Let x = 137 - q. What is the third smallest value in 1, x, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltcl when four letters picked without replacement from ltcllgctg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 36. Let m = c + -14. Sort -0.07, -2\/13, m.\nAnswer: -2\/13, -0.07, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(10 + 11)*(-2)\/20. Which is the nearest to 2\/7? (a) j (b) 3 (c) -2\/5 (d) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y - 63289661 = -101*y - 16298775. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -523 + 756. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/700*-5)\/(-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.377 (b) -0.11 (c) 419 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/((-36)\/(-6)) + (-10)\/(-2). Solve 0*p - 6*p - 18 = t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -2*y**6\/15 - 2*y**5\/5 - y**4\/3 - 35*y + 3. Suppose t(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/7 + 0 - 86\/(-301). What is the nearest to p in -0.5, 0.2, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -28.6 (c) 186 (d) -5 (e) 0.5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2 - 4*u + 7. Let q be w(6). Suppose -2*x - 24 = 22. Let p = 36 + x. Calculate the highest common factor of q and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52354558.\nAnswer: 2, 26177279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-798))\/((724\/(-2353))\/((-2)\/13))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*z - 290, 3*c - 5*z = -54 + 490. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -732, -4980, -15786, -36198, -69264, -118032?\nAnswer: -185550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 7 in increasing order.\nAnswer: -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*t - t - 2*t)*(4*t + t - 3*t) + 5*t**2 - 4*t**2 - 2*t**2)*(3 + 0 + 6) - t**2 + t**2 + 3*t**2.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10802882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 335649 (b) -5\/2 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -250585 - -1?\nAnswer: -250584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6546*b - 6572*b = -286 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 18*c**5\/5 - 218*c**4\/5 - 1206*c**3\/5 + 5114*c**2 - 22500*c + 30800 = 0.\nAnswer: -11, 28\/9, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 1. Let o be g(-3). Suppose 4 = i + i. Let b be ((-40)\/(-36)*-3 - -2)*(-30)\/40. Solve 4*t - o*u - b = 19, 2*t - 14 = i*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9989103?\nAnswer: -9989099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*g**2 + 8*g**2 - 8*g**2)*(-4*g**2 + g**2 + 2*g**2 + 0*g**2 - 3*g**2 + 2*g**2 + (2*g + g - 5*g)*(0 + 0 - 2*g) - 51*g**2 + 149*g**2 - 18*g**2).\nAnswer: 1886*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = x + 5*k, x + 0 - 1 = 3*k. List the prime factors of (x\/(-10))\/((-2)\/(-576)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381436057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 35. Let y be o(9). Round y to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*k + 200 + 74 = 0, 3*w + 3*k = 426. Let i = -697\/5 + w. Suppose 41*d + 102*d = -64*d + 207. Does d = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 870 and 696?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -508.2 + 508. Put 1, a, -0.07 in decreasing order.\nAnswer: 1, -0.07, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 10*c + 42 = -3*c - 4*z, -4*z - 202 = -19*c - 0*z for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200580 divided by -30.\nAnswer: 6686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 51*f + 5*f**2 + 36*f - 4*f**2 - 26*f in the form b + q*f**2 + z*f and give z.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1262 divided by 798.\nAnswer: 631\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*a + 3*a. Suppose 0*z = 3*z + 5*r - 17, 0 = -2*z + r + a. Let m(f) = f**3 - 5*f**2 + f + 4. Give m(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 41. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -187, -736, -1645, -2908, -4519, -6472, -8761, -11380?\n\"Answer: c**3 - 186*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/4)\/((-10)\/(-16)). Let b be (-6)\/(-42)*105\/(-30). Which is greater: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -94. Calculate the remainder when k*(-1 - 2\/(-1)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/16))\/g*g*g**(-24) assuming g is positive.\nAnswer: g**(-369\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8480 divided by 63677?\nAnswer: -8480\/63677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5432*m**3 - 8*m**2 + 19*m - 10 wrt m.\nAnswer: -32592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -258 + 255. Sort 0.4, 5, u, 2\/7 in increasing order.\nAnswer: u, 2\/7, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 13) in base 5?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 + 24\/14. Let z be -1 + (x - -1 - 211). Is z\/(-4) - (-6)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = 27. Suppose -11 = -2*a + 1. Let j = v - a. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1460, 5941, 13462, 24023, 37624, 54265, 73946?\nAnswer: 96667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z + 3\/5*z**5 + 3\/5*z**2 - 3\/5*z**3 + 0 - 3\/5*z**4.\nAnswer: 3*z**2*(z - 1)**2*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -234, -442, -650, -858?\n\"Answer: -208*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -297 + 368825*q**2 - 215*q**4 - 368825*q**2 wrt q?\nAnswer: -860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 967249, 1934475, 2901701?\n\"Answer: 967226*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - -2) - (-4 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**5 - 541*x**4 + 113886*x**3 = 0.\nAnswer: -703, 0, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 178*y**2 - 9*y - 9. Let l(i) = 79*i**2 - 4*i - 4. Let n(j) = -9*l(j) + 4*q(j). Let x(v) = -3562*v**2 + v. What is x(n(u))?\nAnswer: -3562*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 5*l + 44 = -3*f, 8 = 2*l + 2*f for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = -30. Suppose 0 = 4*h + 2*r - 0 - 2, 5*r + g = 3*h. Let v be (-2)\/(-1)*(-2)\/(-7). Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -371 (base 9) to base 12.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 918786.\nAnswer: -1\/918786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100)\/(35\/3 - 13). Solve -19*n - 6*n = c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + f + 10 = 4*f, 0 = -3*t - f + 15. Let u be -4*(22\/(-8) - -2). Let h(n) = n + 2. Calculate the remainder when t is divided by h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 719, 1194, 1669, 2144, 2619?\nAnswer: 3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215*j**2 + 496*j**2 + 19*j**5 - 3*j**4 - 6*j**5 + 709*j**2 wrt j.\nAnswer: 780*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472 = 228*k - 164*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -54) + -11 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2 = -2*h - 0*h, 3*h - 3*b - 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(60)*1)\/((sqrt(132) - -3*sqrt(132))\/sqrt(11)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(76)*1 + sqrt(684)*-3.\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (31 + 49 - 43) + -30\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*o**2 - 61*o**2 - 64*o**2 - 44*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68356*j**4 + 70328*j**2 wrt j?\nAnswer: -1640544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 2:16 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202 - -428. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.024827 rounded to two dps?\nAnswer: -93.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833956171?\nAnswer: 19, 37, 137303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/3)*w)\/(w\/(w\/w**(-2\/15))))\/((w\/(w**(-1)*w))\/w)**(-1\/9) assuming w is positive.\nAnswer: w**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**9*(((((p**(-2\/5)\/p)\/p)\/p)\/p)\/p)**(-1\/7) assuming p is positive.\nAnswer: p**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3*q - 4. Let k be z(-4). Suppose k = -g - g + 428. What is the common denominator of -89\/6 and g\/(-12) - (8 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7142 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224424 + 1?\nAnswer: 224425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29825712 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 8022, -2, 0, 4, 1 in descending order.\nAnswer: 8022, 4, 3, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24695555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*1 - (sqrt(19)*-1 + 2).\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.058 - 30. Let g = -0.052 + t. Let j = g - -0.003. Round j to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54365437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 27 = 5*l, 2*l + 25 = 5*l - 5*q. What is the third derivative of 2*i**2 + 5*i**l + 0*i**2 + 0*i**2 wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28173 and -2994441.8?\nAnswer: 3022614.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + (sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*-1 + sqrt(209))*2)\/(1*sqrt(539)) + 2 + 3)**2.\nAnswer: -78*sqrt(19)\/7 + 8452\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 17*s - 36. Suppose -w - s = 0, -v + 11 = -3*w - 0*w. Solve -v*g + 1 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, -3, 5 in decreasing order.\nAnswer: 5, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -6*c + 5. Let n be c - 1*(-78)\/3. Let k = -38 + 51. Solve k = 2*h - 3*h + 3*v, -5*v + n = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -3 (c) -34 (d) 1\/2 (e) 1\/759 (f) -5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -571*x - 37741. Give w(-67).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22330277 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/142 or 186.2284?\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = w + 88, -5*x - 42 = 2*w - 0*x - 113 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -3. Let t be 0\/(h\/(-3)*1). Suppose 5*j + 17 + 3 = t, -5*j - 505 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 5, 14, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 40.1. Let i = 3.58 - o. Sort i, -2\/7, -0.2 in decreasing order.\nAnswer: -0.2, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l - 2*l**2 - 3*l + 6*l as h*l + p*l**2 + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3 and 55\/5568.\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*m + 4*m. Let t = 0.3 - -0.5. Do m and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*r + 60, -2*r + 1909*f + 81 = 1904*f. What is b in 8\/11*b - 2\/11*b**4 + 0 - 2\/11*b**r + 8\/11*b**2 = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w**3 + 13*w**2 - 3*w. Let m(t) = -5*t**3 + 4*t**2 - t. Let n(p) = -7*m(p) + 2*r(p). Let v be n(1). What are the prime factors of (5\/(-2) - v)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:45 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3726\/889 + -12\/127. What is the fourth smallest value in k, 3, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -39, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 13304355134?\nAnswer: -13304355143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042623378 to six decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-5))\/(2\/(-40)). Let h = p - -11. Suppose 4968456 = 3*t + 4*a + 498468, h*a + 5960009 = 4*t. What is t rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 7 = -5. Let z be l\/8 - 3\/12*-11. Which is the nearest to -2? (a) z (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + (386 - 205 - 87)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145300?\nAnswer: 2, 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (524\/(-5895))\/(1*-5*(-17)\/(1275\/(-18))).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 = -2*v + 4*v, 12 = -3*v. Suppose -18*y - c = -23*y. Solve -2*a - 2*n = -a - 4, -y = -2*a + 2*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + k + 1. Let t(w) = 5*w**3 - 7*w**2 + 8*w + 5. Let d(r) = t(r) - 4*z(r). What is d(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - 2*k**2 - k**2)*(4*k - k - 6*k) + (-k - k + 0*k)*(-4 + 3 + 0)*(-51 - 32*k**2 + 51) in the form p + q*k + m*k**3 + c*k**2 and give m.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334470114 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 242, 5, 3, -1 in ascending order.\nAnswer: -14, -1, 3, 5, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*f*s**2*v - f*s*v - 2*f*s + f*v + 6*s**2 + 40*v - 10 wrt s.\nAnswer: -16*f*s*v - f*v - 2*f + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -7 - -4 - 7 - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*v - 26455 + 5225 = 6378 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (2 - 1). Let f = 2.1 + -0.1. Let q(n) = 106889*n + 748220. Let y be q(-7). What is the closest to c in f, -4, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*o**3 - 205*o**3 - 186*o**3 + 863*o**3.\nAnswer: 152*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 2\/25 (b) -1\/9 (c) 0.3 (d) -1\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152273.\nAnswer: 11, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.79 + -1.79. Which is greater: l or -19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 2*z + 0*z + (-1 + 1 - 1)*(1 - z - 1) - 861*z - 745*z - 130*z.\nAnswer: -1737*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60753284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90855.19cm to micrometers.\nAnswer: 908551900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9))**(-49)\/(y*y**2*y*y\/(y*y**15*y)) assuming y is positive.\nAnswer: y**(206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73825 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/4 + c**4\/8 + 5*c**2. Find the second derivative of v(r) wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.1. Let p = 0.4 - z. Let d = 5.1 + -0.1. Which is the closest to -2\/7? (a) p (b) 1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 23*k - 104. Solve 11*n - 15 = k*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22574.\nAnswer: 2, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -65. Suppose -5*w = -68 + 8. What is the smallest common multiple of w and 1 + (-6)\/2 - i\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2176 + -6529\/3. Let q = -11 + 16. Which is the second biggest value? (a) 0 (b) h (c) q (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*s + 7 + 13 = 0, z = 5*s + 11. Is 5 a factor of 110\/z + (-1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r + 1)*(-83*r - 196*r - 26*r) + 0*r**2 + 0*r**2 - 2*r**2.\nAnswer: 303*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 457, 869, 1273, 1669, 2057?\n\"Answer: -4*n**2 + 424*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**2 - 31*s - 32. Let b(p) = -p**2 - 3*p + 2. Let j(i) = 6*b(i) - v(i). Determine j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -0*r. Suppose r*b + 12 = 7*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2226 by -6.\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/(-21)*(-108)\/(-12)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -61 and 11\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -g + 100. Let z(v) be the first derivative of -7 + 2*v**2 + v + 1\/3*v**3. Determine z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -14. Let u be s\/3 + 8 + -6. Let t(n) = -n**2 + n - 2. Determine t(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -198*t**2 - 993*t - 16. Calculate u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i**(-15)*i)*i**(1\/10) assuming i is positive.\nAnswer: i**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-90)\/(-27))\/10)\/((-8)\/42).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 12*g + 22. Let c be h(10). Let n(r) = 5*r**2 - 3*r - 2. Let z(v) = 6*v**2 - 3*v - 2. Let t(y) = -5*n(y) + 4*z(y). Determine t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, 0, 17, 30, 33, 20, -15, -78?\n\"Answer: -q**3 + 7*q**2 + q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 33*w + 58. Let h be v(-11). What is the highest common factor of h and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -11, 1, -62, 7, -4, 0 in descending order.\nAnswer: 10, 7, 1, 0, -4, -11, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61128 by 566.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 616.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -40*r**2 + 45*r - 45. Let o(g) = -g**2 + g - 1. Let k be (-2)\/6 + (14\/(-6))\/(-1). Let h(v) = k*w(v) - 90*o(v). Let a(t) = 2*t. Give h(a(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-13 + (-3 - -7 - 6). Does 9 divide (-27)\/(v\/8 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 17*o + 30 + 2*o + 5*o + 4*o.\nAnswer: -o + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5149 or 0?\nAnswer: -2\/5149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332864 is divided by 332764.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + u**4 + 2*u**4 + (-4*u**2 - 2*u**2 + 4*u**2)*(9 - 9 - 2*u**2) + (3*u - 5*u + u)*(-u**3 - 8*u**3 + 4*u**3) + (-2 - 1 + 5)*(-2*u**4 + 2 - 2).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*q**2*s**2 - 336*q**2*s + 152*q**2 + q*s**2 + 2*q*s + 2*q + 54*s**2 - 320*s wrt q?\nAnswer: 30*s**2 - 672*s + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 1:11 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 68. Let i = -32.98 + q. Let o = i - -0.28. Round o to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/4 - 2*i**3 + 3*i**2\/2 - 7*i - 2. Let j be s(-7). Let f = 64 - j. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let r = 3 + 0. Let m be 2 - (0 - (-6 + r)). Let s(k) be the second derivative of -k**3\/6 - k. Calculate m*b(v) + 2*s(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c**5 + 27*c + 8*c**5 - 14*c**5 - c**3 - 9*c**5 wrt c.\nAnswer: -300*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**2 + s**3 - 4*s**2)*(2 - 2*s - 2) + 368*s**2 - 6*s**4 - 368*s**2 to the form g*s**3 + m*s + a + r*s**4 + j*s**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v + 18 = 0. What is the smallest common multiple of 4 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 109. List the prime factors of (-21)\/3 - (p - 429).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 454895850 and 10?\nAnswer: 454895850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 2*a**2 - 4*a - 4. Calculate the smallest common multiple of n(-2) and 2944.\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -2. Let s(f) = -5*f**3 + 2*f**2 + 3*f - 4. List the prime factors of s(u).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 8*a - 50. Suppose -2*q + 7 = -5*x, -4*q - 3*x = -x - 50. Suppose -q*k = -15*k + 8. Calculate the greatest common divisor of k and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16588.89 to the nearest ten.\nAnswer: -16590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 8 + 2, -4*s - 5*x = 1198. Let i be s\/(-12) + 6\/(-36). Let p be (24\/10)\/(-1 - (-23)\/i). Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100.872 - 101. Let p = n - 2.872. Which is the second smallest value? (a) -2\/9 (b) p (c) -0.04 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let z(i) = -16*i - 18. Let p(g) = 36*b(g) + 2*z(g). Let a(j) = 5*j. What is p(a(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4 + 20*f**4 + 64*f**3 - 155*f**2 + 43*f**3 + 20 + 65*f**4 - 2*f**3 = 0 for f.\nAnswer: -2, -1\/3, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.182 + 23.218. Let r = z + -23. Put -4, 1\/2, r in decreasing order.\nAnswer: 1\/2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 4287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - -50df?\nAnswer: 5139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -712.7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-4)\/(-25)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195187622 + -3?\nAnswer: -195187625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f + 6*f)*(-1 - 1 + 3)*(2 - 1 + 0) in the form z*f + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:20 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/6)\/(6\/(-8)). Let p = -0.2 - -0.6. Let f = 0.2 + -0.1. Which is the third biggest value? (a) p (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (21 - (16 + -6)) + 8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + -35. Let v = x - 302. Let o = -465\/2 - v. Find the common denominator of o and -87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220\/623 + 6\/89. Let x be (-4)\/(-6)*(-9)\/(-6). Which is greater: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9548, -104 in increasing order.\nAnswer: -9548, -104, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.94 + 0.06. Let p = -37 - -36.7. What is the closest to 3 in -0.1, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let v(y) = 224*y + 53. Let d be v(3). What is the first derivative of 367*l**2 + 38*l**4 - 11 - d*l**w + 358*l**2 wrt l?\nAnswer: 152*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqiq when four letters picked without replacement from {r: 1, i: 4, l: 1, b: 2, q: 2, x: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -h - h + 19, o = h - 2. Suppose -4*i = -d + 1, d + 1 - 2 = -i. Let t(q) = -q**3 + q**2 + 6. Let s be t(i). Solve -s = 3*w + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysm when three letters picked without replacement from {a: 1, m: 2, y: 2, o: 2, s: 3, f: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649*a**3 - 194*a**3 + 0*a**2 + 0*a**2.\nAnswer: -843*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 5787?\nAnswer: 5791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 9. Let v(u) = -u**3 + 6*u**2 + 7*u + 3. Let r be v(7). Let s be (-2 - (-4 + 3))*-53. Let d(h) = s - 26 - 32. Give r*j(w) + 5*d(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4623320 and -127\/5085652.\nAnswer: 50856520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 33*b + 85. Let u be y(32). Let m(h) = -u*h**2 + 165*h**2 + 95*h**2. Let a(i) = i**2. Determine m(a(k)).\nAnswer: 207*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 220, 3, 4443, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-2)\/24). Suppose -c = -9 - b. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-17 - (-7 - -9 - 4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9432 + 9431.9999717. Round y to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 43*d - 51*d. Solve -4*t + 10 = -s - d, 3*s - 3*t = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 11, b: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*g**3 + 18*b**3*g + b**3 - 79*b**2*g**2 + 3*b*g wrt g.\nAnswer: 6*b**3*g - 158*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -179414456 divided by -26338\nAnswer: 6812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 14. Let d be u(0). Suppose -w - 34 = -5*l, 4*w + 28 = 4*l + 3*w. Suppose -l = -4*z + d. Solve h - 11 = 2*a, -4*h = -0*a + 5*a - z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 60*t + 2. Suppose -4*w + 3*w + 2 = 3*c, -c - 3 = 4*w. Let r(j) = j. Let y(l) = c*a(l) - 6*r(l). What is the units digit of y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1590 and 29\/18360.\nAnswer: 973080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -3?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**3 + 6*m**2. Let t(h) = 14*h**3 - 17*h**2. Let j = 73 + -13. Let z = j - 43. Calculate z*b(x) + 6*t(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:06 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 181?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 1. Let n be t(1). Find the first derivative of 3*v - n - 3*v - 2*v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257270251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 52793, 105612, 158441, 211280?\n\"Answer: 5*r**2 + 52804*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 52, -3852.\nAnswer: -3852, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 410 - 410. Solve r + 1\/2*q**2 - 1\/4*q - 1\/4*q**3 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**4\/24 - s**3\/3 - 5*s**2. Let w(y) = 2*y - 3. Let m(c) = 3*n(c) - 2*w(c). Let z(x) = 2*x**2. Determine z(m(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308334 and 118118?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 108*o.\nAnswer: 3*o*(o - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 8*w + 3*w. Let y(a) = a**3 + 20*a**2 + 24. Does 6 divide y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + l - 1. Let c be d(1). Let u = c - -8. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/12 - 1290*t. Let j(h) = 2*h**2 + 17*h - 57*h + 110*h. Give f(j(v)).\nAnswer: 4*v**4 + 280*v**3 + 4900*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7449787?\nAnswer: 7449787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2 = 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 113 - 137 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 + -121. Solve -20 = 4*c + t*k, 2*c + 7*k - 3*k = -10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*t - 45. Let j be 176\/3 - (-10)\/t. Suppose -4*y = -34 - j. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -200734161 - 12*n**3 + n - n**2 + 2*n**2 + 200734157. Let u(k) = -12*k**3 + k**2 + k - 5. Give 5*l(s) - 4*u(s).\nAnswer: -12*s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 29656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.006 - 0.031. Let g = y - -5.037. Let t = -0.1 - 0.9. Which is the third smallest value? (a) -0.2 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 120*y - 1761. Calculate o(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:46 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34952, -1, 47 in decreasing order.\nAnswer: 47, -1, -34952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 52.9. Let j = -0.6 + 1. Let r = 7 - 4. Which is the closest to i? (a) r (b) j (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 670? (a) -0.1642 (b) 2 (c) -4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19639309 a multiple of 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*a - 3*b, -b = -5*a + 420 - 446 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c*c**(-39)))**(-2\/9) assuming c is positive.\nAnswer: c**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.133617 and 0.069.\nAnswer: 1.202617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 349*m + 11. What is the units digit of k(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 11*l**2 + 0*l + 0*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7800385 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-795)\/3816*(-4)\/(-5)*8*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*y - 23981, 58*x - y - 31973 = 54*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8364*q - 164 = 8354*q - 34 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 21*n**2 + 8*n. Let g be r(-5). Let c = g + -454. What is the greatest common divisor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeoojoovovvvo. What is prob of sequence ooe?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00213690518 to 6 dps.\nAnswer: -0.002137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/5))**(2\/91)*(g**(-6)*g)**(-44) assuming g is positive.\nAnswer: g**(100112\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:05 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/3, 314\/10485, -22, -1\/4, -1, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*l**2 - 4115*l**3 + 50*l**2 - 220*l**2.\nAnswer: -4115*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 7*u + 2*w + 65, -23 = -u + 2*w. Suppose u = 3*y - 27. Calculate the remainder when 46 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2178, 9895, 23138, 41913, 66226, 96083, 131490?\n\"Answer: w**3 + 2757*w**2 - 561*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 15*k + 73*k**2 - 10*k - 24*k + 3*k to the form c*k + h + g*k**2 and give g.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = 6, g + o = 7. Let a = 7 - g. Suppose -a*z = -1 - 5. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264672092?\nAnswer: 2, 2801, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 34*l**2 - 96*l - 13. What is d(-13)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2993*m - 2 + 10205*m**3 + 17*m**3 - 1 - 2981*m wrt m.\nAnswer: 61332*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 107*n**4 - 2*n**2 - 38*n**4 + (n - n + 2*n**2)*(-2*n**2 + 2*n**2 + n**2).\nAnswer: -143*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 41*l - 296. Determine r(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1910222 or -1910229?\nAnswer: -1910229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*u = 8, -4*o = -o + 5*u - 6. Let q(p) = 4*p - 83. Let k = 877 - 857. Let j be q(k). Sort o, j, 1, -1.\nAnswer: j, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -13*u + 95. Suppose u = -39*b + 31*b + 208. Suppose -5*j + 45 = -0*j. Calculate the remainder when b is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1) + 20\/(-100). Are -1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - -13. What is the least common multiple of (-5073)\/(-1246) - (-5)\/(-70) and h?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhohhhbdbbhbbshb. Give prob of picking 1 o, 1 h, and 1 b.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = l - 5*o, -2*o = -3*l + 2*o + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54064 times 11\nAnswer: 594704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) - (sqrt(605) - (sqrt(605) + -2))) + 0)*-4)**2*-3.\nAnswer: -29232 + 2112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 - 864*f**2 - 1526*f**2 - 3327*f**2.\nAnswer: -5730*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12807169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27805 by -83.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 27351196.\nAnswer: 8205358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 8, 16, 42, 92, 172?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.28655 to two decimal places.\nAnswer: 18.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 - 2 = 0. Suppose 9 = -w*y - 5*h, 5*y + 2*h - 9 + 0 = 0. Solve s = -y*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26807 and 23408?\nAnswer: 627498256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**2 - 10*a. Let z(i) = -i**2 - i. Let w = 43 - 31. Suppose 2*p - 1 = 3*p. Give p*g(m) + w*z(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 460, -0.15, 0.124 in ascending order.\nAnswer: -0.15, 0.124, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 13*t - 11. Suppose 0 = 2*u - 7*h + 6*h + 5, -u - 16 = 4*h. Let w(b) = b - 1. Determine u*v(o) + 44*w(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*p + 3 = -3, 0 = -5*m - 3*p - 18. Let t be m\/2*(-9)\/(-9) - -71. Which is smaller: 70 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 + -4 + 5. Let l be -6*m\/2 - 5. Let g(x) = 3*x + 2. Let d(t) = 14*t + 9. Let v(s) = l*d(s) + 11*g(s). Differentiate v(b) wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4767 = -3*x - 2*a - 4818, -a + 3 = 0. Let t = -1301 - x. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115570765?\nAnswer: 5, 101, 228853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 10*n - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 90 = 30*c + 10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-65)\/(-40) + -1)*6\/15. Solve 0*q**2 + 1\/2*q - 1\/2*q**3 + i*q**4 - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36045660 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.43585287 - 21.436. Round q to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 97. Let s = l + 4. List the prime factors of (4 + (-16)\/7)*s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/8 - 1\/(-4). Let d be 5 + 3*3\/9. Suppose x*a + d = 24. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142478 and 392.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(9555\/14))\/((-57)\/(-1235)*-5).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32527486 is divided by 123210.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:02 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 207327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 605 or -395?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51415123 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2. Let s(j) = -60*j. Let l(y) = 15*y. Let p(w) = -9*l(w) - 2*s(w). What is p(v(r))?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 63 = 5*x. Suppose 0 = 2*u + x*m - 6920 - 5176, 4*u - 5*m - 24219 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 107.11.\nAnswer: 428.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.234 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*h. Suppose 4*n = 5*l + 844, 0 = 3*n - h*l - 5*l - 628. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3578.00009669 - -3578. Round y to six dps.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/7921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + o**2 + 7*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5611, -5603, -5591, -5575, -5555?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/3)\/((-2)\/(6\/(-21))).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k**5 + 340304*k**4 + 272300*k**3 - 748712*k**2 + 136128*k = 0 for k.\nAnswer: -2, 0, 1\/5, 1, 17016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7737 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5710813 > -5710816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4198*j + 4200*j - 12 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n - 13*n + 40*n + 10)*(-n + 0*n + 2*n + 1)*(-53*n + 4*n**2 + 53*n).\nAnswer: 60*n**4 + 100*n**3 + 40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 n when three letters picked without replacement from nnnccnnccncc?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35746169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 3*d. Let z be y(-4). Find the common denominator of ((-760)\/48)\/((-11)\/3) and (-1002)\/(-120) - 1\/z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**6\/15 + 2*c**5\/5 - c**4 + 4*c**3\/3 - c**2 + 8*c. Factor f(x).\nAnswer: -2*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -63. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 142. Suppose 472 = 4*w + 4*z, -w - z - 248 = -3*w. Suppose g*b + 6 = w. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47803, 43038, 35085, 23938, 9591, -7962, -28727?\nAnswer: -52710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 16*y - 4*y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8169551 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/941930 and -89\/35640.\nAnswer: 305185320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101010110011 (base 2) in base 6?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from 7.2845202.\nAnswer: -10.7154798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 29320*y + 205299. Give d(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -7271.\nAnswer: 508.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.568 + 0.768. What is the third biggest value in -1\/20, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a**5 + 22*a**4 - 22*a**4 + (-2*a**3 + 2*a**3 + 2*a**3)*(1 - 1 + 2*a**2))*(-63 - 258 - 843).\nAnswer: 11640*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 52 = -26. Suppose -78 = 4*v + u. Let a = v - -49. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3165727 is divided by 890.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1451682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317418750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 341104 - 1?\nAnswer: 341103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149956 at most as big as 1149960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 21\/(-9)) + 24\/9. Solve j + 3*r = 6*r - 11, -w*r + 22 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*l**2 + 85249*l - 120*l**2 + 85241*l - 170490*l.\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4047\/34 + 60\/17. Is q less than -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/90 + 33879\/45. Let j be 4\/12*1*q. Let n = -66 + j. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -13 + (-14 - -14 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -131 - -2690353?\nAnswer: 2690222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 18, 185 in decreasing order.\nAnswer: 185, 18, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31394 and 918874.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, t: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -47419 - 47436 + 2*f + 94908. What is s(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/(-1))\/((-1)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.39 and -4046.7.\nAnswer: -4046.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*k + 2601 - 2601)*(-3*k + 0*k - k + (19*k - k + 29*k)*(-5 + 1 + 3)).\nAnswer: 1275*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -108497*g + 12. Let o be r(-4). Round o to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*u + 7 + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2 - -4) + -4 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -819 take away -97005?\nAnswer: 96186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)\/(-14 - (4 + (-15)\/2))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35063.825 - -34579. Let z = j - -482. Round z to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1065 and 55\/19809?\nAnswer: 99045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w + 173*w - 56*w.\nAnswer: 147*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 68?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 11*l**2 + 3419*l**3 + 12938*l**3.\nAnswer: 16357*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/1014 - -3125\/1521. Suppose -d - 4*d = -3*o + 14, o = -3*d. Find the common denominator of i and 2051\/(-168) + d\/(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/8 + 53*l**3\/3 - 117*l**2. Calculate the smallest common multiple of a(-34) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 34 - 100 + 0*k. Let n(x) = 2*x**2. What is n(r(c))?\nAnswer: 8*c**2 - 528*c + 8712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3\/(6\/56). Let o = -14 - f. What is the lowest common multiple of o and (-1*1\/(-1))\/((-42)\/(-420))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 948551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 632 - 617 = 0. Let n(m) be the first derivative of 5\/2*m**2 + 0*m**y + 0*m - 1 + 1\/2*m**4. What is the second derivative of n(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - v + 6. Let m be d(0). Let r(i) = 5*i + 9*i**2 - 3*i + 2 - 15*i**2 + i + i**3. Calculate r(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(4356)*3)\/(sqrt(60)\/(sqrt(180)*2 - sqrt(180))).\nAnswer: -990*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/62 and 111\/12493000.\nAnswer: 12493000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 11. Let i be z(-11). Let r = -3\/136 - -5\/34. Which is the nearest to -1? (a) -1 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 11*w**2 + 7*w + 19. Let v = 40 - 48. What is the tens digit of q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 28 = -4. Let a = 9 - 6. Suppose -d*n - 5*l + 36 = -a*n, -5*l + 77 = 2*n. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1925, -1923, -1911, -1883, -1833?\n\"Answer: v**3 - v**2 - 2*v - 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190455746 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3\/439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 304 = -4*o, -4*o + 156 = 3*a - 72. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 - (-183 - -68) - -205.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 210212441 (base 6) to base 11\nAnswer: 20782a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 29*l**4\/4 + 26*l**3\/3 + 56. What is the third derivative of o(j) wrt j?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 + 55 = -5*p. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 2*o - 3. Let a(h) = -3*h - 10. Let t be a(-4). Let p be n(t). Solve 2*q + f = -10, p*q + f - 2*f + 18 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 136704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(99) + 1 + sqrt(99) - sqrt(99))**2 + (sqrt(99) - (sqrt(99)*1 + sqrt(99))*-6) - (0 + sqrt(99) + sqrt(99) + -5 + 5).\nAnswer: 98 + 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -6*m**4 - 12*m**5 + 2*m**4 + 48*m**3 - 28*m**4 + 109*m**2 + 64*m + 35*m**2 - 12*m**4 = 0.\nAnswer: -4, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*q**3 - 3*q + 4*q + 112*q**3 + 107*q**3.\nAnswer: -9*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**5\/20 - 2*w**3\/3 + 3*w**2\/2 - w. Let v be 147\/24 - 1\/8. Let s be v*(-4 + 13\/3). Calculate n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*u - 4 = 0, -2*d + 3*u = -6*d - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 49\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3 + 0 - p**2 + 5*p - 6*p. Let t = 5 + -9. Let s be i(t). What is s rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 19*f - 169. What is p(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0, -0.4, 1, 116\/123, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121122101112 (base 3) to base 12.\nAnswer: -139705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560379 to the power of 1\/2, to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = 5*h - 3, -10 = 2*l - 4*h. Let q be (572\/(-55))\/(l\/5). Suppose 4*y - 108 = q. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 15*q**3 - 45*q**2 + 45*q - 39. Let x(w) = w**3 - 2*w**2 - 1. Let z(n) = i(n) - 12*x(n). Solve z(s) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 y when four letters picked without replacement from {w: 3, y: 4, o: 2, h: 1, k: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 2*z + 234 = -3*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.006296 (c) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 4*p**2 + 13*p - 23. Let g(l) = -l**2 - 122*l - 3051. Let u be g(-87). Give c(u).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3237)\/325 + 10)\/(2\/(-10)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 269 = -u, -11*k - u - 207 = -8*k. Is k <= -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -8306?\nAnswer: -8309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/2)\/(852\/(-284))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - r - r**3 + 7 + 4*r**2 + 2*r. Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1587*b + 4800. Let p be w(-3). Suppose -4*m - m + 650 = 0. What is the highest common factor of m and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 3:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12750857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y**3 - 3*y**2 + 1. Let z(r) = -55*r**3 + 17*r**2 - 5. Let g(o) = 34*m(o) + 6*z(o). What is the first derivative of g(s) wrt s?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 + 713\/4. Let u be (3 + (-68)\/12)*9. Let y be u\/16 - (-2)\/(-4). What is the second smallest value in g, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -31*w**3 + 2*w + 1. Let h be d(-1). Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119874 to the power of 1\/2, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*d - 513. What is the highest common divisor of d and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*u - 9, -w + 6 = 2*u - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*j + 2327 = 0, 4*b + 1743 = b + 3*j. Let s be 15\/(-35) - b\/7. Suppose 4*k - 7 = 2*f + 295, 3*f = k - s. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.05018 - -21.399\nAnswer: -12.65118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1323 - 51. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 4}. What is prob of picking 2 s and 1 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*q - 7*q + 10, 0 = q - 2. Let k(t) be the second derivative of z*t**2 + 0 - 1\/6*t**4 + 3*t + 1\/15*t**3 + 2\/25*t**5. Factor k(m).\nAnswer: 2*m*(m - 1)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -1\/2*w**2 - 1\/20*w**5 + 0 - 3*w + 1\/6*w**3 + 1\/12*w**4. Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205\/72 + 21\/8. Let a = 9\/16 + -11\/16. Let d = -3.92 - 0.08. Sort q, a, d in decreasing order.\nAnswer: a, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -960*t**3 - 6*t**2 - 2*t. Let s be c(-7). What is s rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8.7. Let c = -486 + 489. Let y be (1 + -4)*16\/(-12). What is the second smallest value in m, y, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28937*a + 25931*a - 67509*a.\nAnswer: -70515*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/67 (b) -18 (c) 24\/17 (d) -7 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -40454.\nAnswer: 32363.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 27*f**2 + 0*f + 1 - f - 3 to x*f**2 + p + k*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121220020 (base 3) in base 11?\nAnswer: 9289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158345, 316697, 475049?\nAnswer: 633401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*v - 227*v = 368. What is the highest common divisor of v and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1599 + 1557 = 0. Suppose 9*z - d + 1377 = 13*z, -1367 = -4*z + d. What is the highest common divisor of k and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2461024.\nAnswer: 2, 76907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -273, -909?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-27))\/(140\/21 - 7). Sort c, 9, 12\/13 in descending order.\nAnswer: 9, 12\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -413. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1476 and 5028?\nAnswer: 618444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 2*z + 56, 0 = -5*l + 5*z + 85. Let w = l + -18. What is the third derivative of 10*f**2 + 10*f**2 - 26*f**2 - 6*f**w wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8290, -8305, -8320, -8329, -8326, -8305, -8260, -8185?\nAnswer: -8074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 398*k**2 + 797*k - 3. Let n(w) = -w**3 - 11*w**2 + w + 1. Let p(u) = -c(u) - 3*n(u). Find the second derivative of p(y) wrt y.\nAnswer: 6*y - 730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -1. Let y(u) be the second derivative of -u**5\/20 - 5*u**3\/6 - 1685*u. What is the tens digit of y(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p - 20. Let q be l(4). Suppose -5*o + 25 = 5*u, -q*o = 5*u - 3*o - 21. Suppose 83 + 1013 = u*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or -6\/113?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097.5 rounded to the nearest ten?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*s - 38*s - 9*s)*(-5*s - 6*s + 5*s) as n*s**2 + u + b*s and give n.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333970 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghrvh. Give prob of sequence vgh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4340403 and 12?\nAnswer: 17361612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1, 0.08, 20\/9, -19, 3?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4703, -10688, -16673, -22658, -28643?\nAnswer: -34628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 407 + -444. Let d be v\/16 - (-56)\/24. Put 1, d, -1 in descending order.\nAnswer: 1, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -323 + 325. What is the remainder when 6 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 21 - 5 - 14 - f. Determine a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0086960327 to 6 dps.\nAnswer: 0.008696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3883605485\/504 + -7705578. Let i = 59\/63 + b. Find the common denominator of i and 37\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2eeb64 (base 16) to base 12\nAnswer: -1043570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:44 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -2*f - 2*b, -2*b - 357 = -5*f - 3*b. What is the remainder when 140 is divided by f?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003487137 rounded to 6 dps?\nAnswer: -0.003487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 6533888*q**2 - 4*q**3 + 6533888*q**2 + 2 - 2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/13 (b) 2\/7 (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 1107216?\nAnswer: 2214432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 - 18*i**2 + 2*i**2 + 3*i + 3*i**2 - 2*i**3 + 5*i**2 - 4 to r*i**2 + v*i + b*i**3 + a and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008564 rounded to five decimal places?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(3\/2)*s)**(-1\/15)*s*s*s\/(s\/(s\/((s*s**(-4\/11)\/s)\/s)))*s**(-10) assuming s is positive.\nAnswer: s**(-631\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/(-25) + (-1)\/5. Suppose -2*l + i = -l. Calculate the remainder when 9 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*4\/2. Suppose 3 = -4*m - t. Which is the closest to m? (a) 2 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 3, s: 10}. What is prob of sequence xxx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4 and -7\/89.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6957 = -0*h - 3*l, -5*l + 6965 = 4*h. Suppose -5*t - t = -h. Suppose -4*s = -t + 102. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3 + 38. Suppose -13*u + 5*u + 4880 = 12*u. What is the remainder when u is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 + 39*k**2 - 360*k - 400 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 17471032.\nAnswer: 1\/8735516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 10 = 7*d. Solve -3*u + d*o - 3*o = 13, 3*o - 15 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)*p*p*p**(1\/4)\/p*p*p*p)\/(p\/(p*p\/(p\/(((p**(-2\/5)*p)\/p)\/p))*p))**(11\/3) assuming p is positive.\nAnswer: p**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26273*m**4 + 664*m + 12727*m**4 + 13166*m**4 wrt m?\nAnswer: -4560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429968 minus -16597?\nAnswer: 1446565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 15376 = -31*b - 14*b. Solve -b*g + 234*g = -112 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120404 (base 5) to base 9\nAnswer: 30517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 125195558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(2816) - -2*sqrt(2816)*2 - ((sqrt(2816) - (sqrt(2816) + 0)) + 4))*-5)*-4)**2.\nAnswer: -294400*sqrt(11) + 28168464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -7 - (0 + 0)) + -2. Solve -2*p + 5*n = -3*p - 13, -l*n - 5 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, -17, 7, 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v - 160. Let x(w) = 4*w**2 - 4*w - 5. Let n be x(-2). Let y = n - v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3146 + (5 - 4). Let x = 818 + o. What is the remainder when ((-6)\/10)\/(-1)*x\/(-15) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -43?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152407267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/12 + s**3\/2 - 7*s**2\/2 + 2*s. Let o be r(-5). Solve 0 = 5*w - 5*z + 25, o*w + z - 9 = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 52*f**2 + 2*f - 105. List the prime factors of i(35).\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8299624 and 13108.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17648*z**3 + 5*z - 906*z**2 - 3*z - 1 - z - 17646*z**3 + 2*z**4 to v*z**3 + b*z**4 + q*z**2 + k*z + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/4 + -2 + (-2)\/(-4). Let p = 2 - 1.5. Let t = 74\/133 + -16\/19. What is the closest to i in t, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*b + 28*b - 54*b)*(3 - 2 - 2)*(0*b - b + 0*b) - 7 + 7*b**2 + 7 - 4*b**2 + b**2 + 2*b**2 + (2*b - 2 + 2)*(b - 2*b - b) + 0*b**2 + 0*b**2 - b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 5*u**2 + 2*u + 2. Let k be i(-4). What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let n = -153.842 + 150.84244. Let i = o - n. Round i to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) - sqrt(20)*-2)*-2)**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-213)\/(-15) + 3\/(-15). Suppose g + y = -y, -5*y - c = -g. Solve -2*r - g*k - 28 = 0, -r + 5*k = 2*r - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4\/5777675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 3*j**5\/5 - 2*j**4 + 51*j**2 - 8270*j + 3443. What is the derivative of u(p) wrt p?\nAnswer: 12*p**3 - 24*p**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1749 - 1125. Suppose 28*r - f = 22*r. What is the smallest common multiple of 18 and r?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*g + 5*g + 23, -g - 13 = -3*x. What is the third derivative of 4*q**4 + 32 - 2*q**x - 4*q**2 + 4*q**4 - 24 wrt q?\nAnswer: 192*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 1. Suppose 28*t - 9 = -37. Let z(q) = -q**2 - q + 1. Give t*z(y) + 4*j(y).\nAnswer: y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 455743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1950 + 2535. Calculate the smallest common multiple of 325 and a.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -347 in 1\/119, 1284, 2?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 383 (c) -3\/2 (d) 556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -99. Suppose -a + 3 + 13 = 4*s, 3*a + 2*s = m. Calculate the remainder when 158\/5*((-220)\/8)\/(-11) is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:27 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1899*i + 1943*i + 1896*i - 5756*i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14955164*h*q - 784857*q - 40 wrt h?\nAnswer: 14955164*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(-3 + (sqrt(272) + 1 - sqrt(17))**2 + -4)*3 + 3.\nAnswer: 144*sqrt(17) + 3531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14067\/11 + 1281. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-892)\/(-3) + -1 + 20\/30. Suppose -27 + w = 15*q. What is the lowest common multiple of q and 34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - (-3 + 9 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -46 (b) -0.044 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w + 1. Let c(u) = 3*u**3 - 3*u**2 + 2. Calculate -c(l) + 2*i(l).\nAnswer: -l**3 + 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 91*y**2 + 73*y + 1873. Give t(92).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -3*u + 718. Let b = 518 - u. Calculate the lowest common multiple of 18 and b.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/385 - (20\/(-110))\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22238 or 22237?\nAnswer: 22237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*b + 103*b = 5. Sort -165, -3, b in increasing order.\nAnswer: -165, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 396*s**2 + 19*s + 60. Let a be t(-5). Let m = 359024 - 248889. Let i = m + a. What is i rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 2, h: 6, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -19*a**2\/2 - 4*a - 22. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -19) + (13 - ((-1 + 0 - -7) + 1))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 - 3.36. Let q = f + 0.06. What is the second biggest value in q, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 386638*j**4 - 27*j**3 + 365401256 wrt j?\nAnswer: 1546552*j**3 - 81*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnnnnnnnnnnnnqnnnnq. What is prob of picking 1 n and 1 q?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142649264 and 8.\nAnswer: 142649264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 38*x - 271. Calculate the remainder when h(-25) is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5803 + -5802.0613. Let n = -0.94 + j. What is n rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 189 + 49 - 13*t + 22 + t. What is the least common multiple of w(16) and 26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:29 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284821221 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(((-2)\/(-8) - (-1533)\/(-2044)) + -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91*g**4 - 175*g**4 + 1589*g**4)*(-7 - 3 - 8 - 3) to l + u*g**4 + p*g**3 + w*g + z*g**2 and give u.\nAnswer: -27783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (0 + -1 + -4). Solve 2*y = -2*o - z - 5, 10 = 5*o - y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6*z = -3*q + 794, 5*z - 538 = -2*q. Suppose 12 = 3*f + f. Suppose -q = -7*b + f*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -15. What is the units digit of (-3)\/(f\/(-944)) - (-5)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -129*q + 124. Let c = -416 + 412. Is 10 a factor of b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/406 - (3\/15 - 1797\/435).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-4)\/(-8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-144)\/(-10))\/(185\/20350). What is the greatest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = 3*d, -k + 0 + 3 = 2*d. Suppose -4*z + 19 = 3*a, -24 = -d*z - z + a. Let v = -29 + 43. Calculate the greatest common factor of v and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -75*l. Let k(n) = 3*n. Let q(u) = -u. Let s(x) = -k(x) - 2*q(x). Determine o(s(z)).\nAnswer: 75*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 6156.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -4)*1*-16. Suppose 0 = -13*q + f*q + 42. Let m = q - -20. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + 5*q + 7. Let o be 0 + 1 - (-6 - -5 - 0). Let n = o - 7. What are the prime factors of g(n)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.9976490019 and 0?\nAnswer: 3.9976490019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -s + 269, -4*s + 882 = -2*z - 208. Suppose -64 = -7*u + s. Suppose r + u = 3*x, -12 = 5*r + 3. Solve -3*o = 2*o + x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.790364 to three decimal places.\nAnswer: -2.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.0015 + 9.9956281. Round a to 4 decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwczcwwzw. What is prob of sequence wzzw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/30)\/(2\/12). What is the remainder when f - (-2 - 21 - -1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -36*v + 0*v**5 + 0*v**2 + 0*v**4 + 0*v**6 + 0 - 11\/2*v**3 + 6\/7*v**7. What is the second derivative of u(a) wrt a?\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46993198661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 - 111. What are the prime factors of y?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89965, -723390, -2443727, -5794432, -11318961, -19560770, -31063315?\nAnswer: -46370052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683.715 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 45*v + 5 = 0. Let s(t) = -2*t**2 - 7 - v + 2 + 5*t. What is s(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 g when three letters picked without replacement from zzvzgsgvzggvgzg.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034864293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 77140 * -0.3\nAnswer: -23142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 12*w - 12. Find the first derivative of -9*y**w + 38*y**3 - 15*y**3 + 5 wrt y.\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9 - 5 + 7*a**3 + 5*a**2 + 9*a - 8*a**3. Suppose 0*j - 4*i = -j, -4*j = -3*i - 26. Calculate the lowest common multiple of j and y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685333.\nAnswer: 13, 129641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 9 = -2*l, 3*l = 6*k - 4*k + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 - 267 = -2*d - 2*n, 3*d + 2*n = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29987? (a) 0.01 (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83258.7 minutes to microseconds.\nAnswer: 4995522000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Let o(r) = 28*r - 5. Let x(a) = 55*a - 11. Let y(u) = -11*o(u) + 5*x(u). Calculate y(i(p)).\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/27408 and 21\/400.\nAnswer: 685200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (168 + 0*f - 114 - f)*(22*f**2 - 112 + 114 - 3*f**2) in the form h*f**2 + c*f + t*f**3 + d and give h.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*y - 138, -q + 86 = 5*y - 3*y. Suppose 42*v + 2 = y*v. Let i(h) = h**3 + h. Let o be i(v). Solve 3*x - 3*m = 6, 2*m + o*m + 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 4\/5 (c) -269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 8*c**2 + 11*c - 12. Suppose 0 = 2*o - 3 - 3. Suppose 0 = -w - 3*t, o*w - 12 = -2*t + 9. List the prime factors of z(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0151999 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-2 - 35\/(-11)). Let q = 20.82 + -21. Let k = -0.02 + q. Which is the third smallest value? (a) 0.5 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -94, -86, -66, -28, 34, 126, 254, 424?\n\"Answer: q**3 + q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2496723 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10010000?\nAnswer: -10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2017*x + 5*x**2 - 3*x**2 + 9*x**3 - x**2 - 1675*x - 2*x**2 to the form u + b*x**3 + m*x**2 + d*x and give d.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 11, 15, 19, 23, 27?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let w be j(-1). Suppose -14*h = -10*h + 2*g - 22, 4*h - g - 19 = 0. Solve -w*y - 8 = -h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6. Suppose 4*a - 5*d - 980 = l, -2*a - d + 236 = -a. What is a rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 34*z**2 - 2*z + 1. Let w be p(1). Let r be (-108)\/51 + (-10)\/(-85). Let b be (5 - 11)\/(r\/1). Calculate the greatest common factor of w and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-15) - 2\/(-9). Let t be (-1 - 0)\/((-1)\/(-5)). What is the closest to -2\/5 in t, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -2\/3, -43812, 2 in ascending order.\nAnswer: -43812, -2\/3, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -511620 divided by -13\nAnswer: 511620\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441*x - 6870*x + 227008 = -1217*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -27*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.2, 2\/7, -19590, -5.9, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2\/49 (c) -3\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - 15. Let y = -6541\/1176 + -46\/147. Find the common denominator of y and (0 + c\/(-6))\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Suppose -2*o = -6*o + 8. Let z(c) be the third derivative of 0 + c**o + 0*c + 1\/8*c**4 + 0*c**3. Calculate z(b(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 159 = 2*w. What are the prime factors of (w - 2) + -2 + 2?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 23, 25, -8, 5, -26, -3 in increasing order.\nAnswer: -26, -8, -3, 5, 9, 23, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.595499734 rounded to one dp?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 176411\/1642 or 106?\nAnswer: 176411\/1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366 divided by -269054.\nAnswer: 183\/134527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggdggggdgggddgdggd?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 126 and 1.1.\nAnswer: 127.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25843*r**3 - 7536 - 69111 + 25841*r**3 + 17442.\nAnswer: -2*r**3 - 59205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:08 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 0.085. Let u = q + 0.055. What is the closest to u in -1, 13, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (63 - 55 - (12 - 5))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-20 + -3 - -14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1527 - 1270672\nAnswer: -1269145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - ((-2*sqrt(176) - sqrt(176)) + 0 - sqrt(176))) + sqrt(176) - sqrt(176)) + 2 - (5 + (sqrt(176)*1 - sqrt(176)) - (2 + sqrt(176) + 0)))**2.\nAnswer: -48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 3438.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3570327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 2*z. Let t(j) = 7*j**2 + 3*j. Determine 3*q(o) - 2*t(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 7*i + 84 = 0. Is (-1712)\/(-3) - i\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -2 - 0\/(-4). Let c be w\/14 + 48\/21. Let n(f) = -3*f + 3. Let d be n(c). Put -2, -1, d in descending order.\nAnswer: -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10)\/(-2) - (-1109 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1520.32 rounded to the nearest 10?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000299377 rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 2)*(10 - 9 + 38*i**2 - 1).\nAnswer: -190*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197675.\nAnswer: 3, 5, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (2 + -6 + 3 - 18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*b, 12*d = 7*d + 2*b + 18. Suppose -4*y - 2 = -30. Calculate the lowest common multiple of d and (-2)\/y - (-708)\/28.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1540*a + 0 + 1530*a + 0 - 3067*a. Let v(r) = 4*r**2 + 6*r + 6. Let j(l) = -l**2 - l - 1. Let d(k) = -6*j(k) - v(k). What is d(n(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*z - 165, 0 = -i - 5. Suppose -2*k = 2*k - z. Find the second derivative of -22*w + 25*w - 3*w**5 + k*w**5 wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*n - 4, -4*c + 4 - 12 = -3*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*j - 9, -4*a + j + 15 = a. Suppose -4*f + 17 + 13 = -2*q, -3*q = a*f + 36. Is q <= -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 21. Suppose -2*d = 1 + 3. Let m(v) = -v - 4. Determine d*x(u) - 11*m(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 4, t: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.299066 to 2 dps.\nAnswer: 23.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5085222 - -2?\nAnswer: 5085224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 3 = 24*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 3:48 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -121 (b) 7.99 (c) -143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -6) + -1 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/5)\/(c*c\/c**(2\/25))*c\/c**(1\/9)*c**(2\/13) assuming c is positive.\nAnswer: c**(-4321\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 26?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2888219 and 8846.\nAnswer: 5776438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (7 - 0)) + (1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 469735, 469720, 469705, 469690, 469675, 469660?\n\"Answer: -15*q + 469750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 426 - 326. Sort -5, m, 5\/2 in decreasing order.\nAnswer: m, 5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 2*z**2 + 4*z - 11. Let r be v(-4). Suppose r*b = -p - 0 + 151, 0 = -3*b + 2*p + 88. Solve 0 = w - 29 + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(245)*-2)**2.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189\/22 + 100\/11. Suppose -24 + 10 = -y + 3*d, -5*y - 2*d = -2. Is c bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 8*k**2 + k - 5. Let m be v(8). Suppose 0 = -m*h + 5*h - 12. Let b(o) = -o - 8. What is the lowest common multiple of h and b(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:11 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71294 - -276.8?\nAnswer: 276.08706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 9:37 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j**2\/5 + 2*j + 4\/5 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11030, 10998, 10914, 10754, 10494, 10110, 9578?\n\"Answer: -4*i**3 - 2*i**2 + 2*i + 11034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34291*d**4 + 263499*d**2 wrt d?\nAnswer: -822984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99712 and 1107328?\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(13 - -2) - (-1 + (-96)\/3). Suppose 0 = -5*z + 15. Find the third derivative of w**3 - w**3 + w**z + 17*w**3 - i*w**2 wrt w.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-16) + 45\/50 + -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -550\/21 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -c + 13, -2*c - 3*b + 20 = -b. Calculate the least common multiple of c and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(68\/1020).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.3, 0.4, -8, -2376, -3, -8\/3, -4?\nAnswer: -2376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 62. What is the second derivative of -7*h**4 + 13*h - 27*h**4 + 6*h**d + 17*h wrt h?\nAnswer: -336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(243)*2 - sqrt(243)) + 5)**2 + 2.\nAnswer: 162*sqrt(3) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*95825.06\nAnswer: -191650.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f = -12*f - 70 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225 - -69. Let b = 332 + f. Calculate the greatest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 1.66742\nAnswer: -3.33484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65114 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: Suppose -22234 = m + 3*o, 22248 = 28*m - 29*m - o. Is m > -22254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 39*a**2 + 3*a + 55. Let j(m) = -m**3 - 38*m**2 + 4*m + 54. Let y(u) = 4*j(u) - 3*p(u). What are the prime factors of y(18)?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28, 5, 2 in decreasing order.\nAnswer: 28, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3131 - 3132. What is the biggest value in 0.3, -4, -1\/3, m, -2.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6270 and 7458.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 353\nAnswer: -1059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Let w(t) = 11*t - 14. What is w(x) - 5*z(x)?\nAnswer: 16*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 73*q**2 + 6*q. Let g(f) be the third derivative of 6*f**5\/5 + 5*f**4\/24 - 69*f**2. Let y(x) = -6*g(x) + 5*n(x). Let l(v) = -2*v. Calculate l(y(s)).\nAnswer: 134*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2432 + -454354?\nAnswer: -460116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b54c1 - 5?\nAnswer: -6b54c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (-4 - -1)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -25*d - 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(2\/9))\/o**(2\/11))**(1\/11)\/((o\/(o*o**0))**19)**2 assuming o is positive.\nAnswer: o**(158\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14691, -14795, -14903, -15015, -15131?\nAnswer: -15251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-11 - (-6 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 98385.71ug?\nAnswer: 98.38571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.17 and 5.65293.\nAnswer: 5.82293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -466\/39. Let c = 93.2 - 93. What is the smallest value in o, c, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-15))\/((-10)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 132.95. Suppose 4*v + 98 = 18. Let r be (-8)\/v + 54\/(-10). Which is the third biggest value? (a) d (b) 3\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -1\/2 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 2\/9, -142984, 0.1.\nAnswer: -142984, -2, 0.1, 2\/9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4633 and -80.15?\nAnswer: 371334.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186711295?\nAnswer: 5, 31, 599, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315288)\/65685*(-3*(-15)\/3)\/((-2)\/1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -27 + 59 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 7490\nAnswer: -44940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 56, 81, 120, 173, 240, 321?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -0. Let i(x) = x**2 - 9*x - 19. Let a be i(11). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-12)*7\/(-63)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let z be g(3). Suppose 3*v + 2*o - 2 = 1, 24 = 5*v - z*o. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 14) in base 12?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*i**3 + 3*i**2 + 150*i**3 - 4*i**2.\nAnswer: 249*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*o - 39*o + 231 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 15)\/((-1)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/140*28 - 2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -15*s - 649. Determine t(-44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + i + i - 20 = 0, 4 = i. Suppose 4*w - 8 = 4*u, 5*w - 4 - 6 = h*u. Suppose p - 34 = -u*p + a, -2*a + 130 = 4*p. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 126 + (-32080)\/280 + (-7 - (-2)\/(-4)*2). Solve 16\/7*b - 2\/7*b**2 - p = 0 for b.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*d - 20. Let v(w) = 2 - 15*w - d*w - 1 + 2*w. What is v(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006781883 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 82668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/5 + 8601*n**4\/5 - 146018*n**3\/5 + 772668*n**2\/5 - 926856*n\/5 - 1854144\/5 = 0 for n.\nAnswer: -1, 6, 8584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.2183337 to 2 dps.\nAnswer: -10.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/21*(-1 + 5\/4).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 7)\/(0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -406*p**3 + 1. Is k(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b + 6*b - r, r = 2*b + 1. Let m(i) = 199*i**3 - i**2 + 2*i - 6 - 56*i**3 + 5 + 0. Is m(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - f - 1. Let q(m) = -6*m**2 - 9*m - 6. Let a(x) = 15*o(x) - 3*q(x). Let c(v) = v**2 + 4*v + 1. Let r(n) = 6*a(n) - 17*c(n). Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06225 - 3529.\nAnswer: -3529.06225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 + 5))\/(26 + (-25)\/600*644)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -19*a**3 - 7*a**2 + 3225*a - 3219. What is r(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 + 22?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 205?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 69.7 and -3642301938.\nAnswer: -3642301868.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 428\/18 - 10\/(-45). Let v = p + -12. Suppose -l - 2 = d - 1, 2*l + 4*d + v = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n + 4*n - 58565 + 58571 + 2*n**3 - 3*n**3 + 11*n**2. Let y be 39\/4 + (-5)\/(-20). Is b(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frt when three letters picked without replacement from {q: 5, r: 4, f: 1, a: 5, t: 4}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c + 13 = 0, c - 2*c = -3. Let t = -6 - f. Differentiate 10 + t*s + 11 - 19 with respect to s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83655701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 + q - 4. Let a be p(4). Let v = 208 + a. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.26 - 0.14. Let b be (0 - -1) + 14\/(-8). What is the third smallest value in c, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 51*m - 16. What is the units digit of i(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 74*t**3 - t**2 + 1. Let z be b(-1). Let s = z - -81. Calculate the greatest common factor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(153)) + 4 - (-3 + -3*sqrt(153)*-5))**2*-6.\nAnswer: -371574 + 19440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*c + 71*c - 38*c - 409*c as r + y*c and give y.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -377 + 390. What is the remainder when 50 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 234.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5265)\/108)\/65*28\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + 100\/16. Suppose n*f = 2*f + 156. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -36 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*j + 22 - 3*j**3 + 2*j**2 - 26*j + 47*j in the form x + i*j**2 + s*j**3 + v*j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5\/3 + 2260*o**4\/3 - 149952*o**3 + 35560448*o**2\/3 - 806862848*o\/3.\nAnswer: -4*o*(o - 176)**3*(o - 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 594\/829735 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 787471 + 30 + (-140)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35204 (base 6) to base 16.\nAnswer: -13b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125.1 - -9.1. Let g = f - -126. Does g = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-5*6 + sqrt(91) + -5*2*sqrt(91))\/((sqrt(77) - -5*sqrt(77))\/sqrt(11) + sqrt(343) + (2*sqrt(343) - sqrt(343))).\nAnswer: -39*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7490693*d + 7490472*d - 23647 = 0 for d.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901542?\nAnswer: 2, 3, 31, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0398239953 to 4 dps.\nAnswer: 0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-924))\/(((-12)\/(-90))\/((-1)\/(-10))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) 0.5 (c) 5 (d) 22\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by (-128)\/44 + (-5)\/55 + 64?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - 7\/(28\/(-8)). Suppose 9*h - 14*h = -u. Suppose -h*m + 15 = m. What is the remainder when 7 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46049356 rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 73 * 0.2\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/60 + 5*r**4\/8 + r**3\/6 + 3*r**2. Suppose 23*m + 145 = -200. Give a(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebo when three letters picked without replacement from kouoeuokzbbeuuueeeku.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 2:32 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 1, w: 3, x: 3, n: 6}. Give prob of picking 1 k and 2 w.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101764807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 3. Let l = k - 1.1. Let z = 3\/2 + -11\/6. Which is the second smallest value? (a) l (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 2. Suppose -5989*b = -5999*b + 270. Let c(n) = 39*n + 27. What is b*w(s) + 2*c(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 2*s + 5*m, -s = -5*s - 4*m + 192. Calculate the remainder when s is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 13 = -2*l + 3, -20 = 4*l - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9485141*g**5 - 87*g**2 + 45*g - 561 wrt g?\nAnswer: -569108460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-33))\/(718\/2154).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362.94 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, n: 1, o: 3, s: 1}. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*m + 2744706 - 835959 + 889708. List the prime factors of m.\nAnswer: 5, 11, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4695)\/(-6)*(-8)\/(-10). Let q = s + 198. Suppose -i + 79 = u - 120, -3*i - q = -4*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.1, -7, 1\/4, -0.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 12 (c) 21481 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 64*z**2 - 17*z + 13. Let y be j(14). Suppose -8*g = 3*i - 10*g - y, -4*i + 4*g = -16428. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-8))\/q*q)\/(q*(q\/q**29)\/q*q) assuming q is positive.\nAnswer: q**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 10*l - 1. Let c be h(-10). Let d be 12*(c - 5\/(-4)). Suppose -18 + 0 = d*u. Sort u, -3, 1 in increasing order.\nAnswer: u, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - d = 72. Is 20 a factor of (3\/d)\/((-2)\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3955750.1 to the nearest ten thousand.\nAnswer: 3960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4*s + 9. What is k(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 2*w + 28. Let c be r(15). Let f = -221 - c. Solve -2*t = t - f, -4*t = 3*m + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372 divided by -5\nAnswer: 372\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-99))\/((-32)\/(-48))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 15*m - 1. Let h be k(17). What is the highest common divisor of h and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -723*c*l - 367*c + 390*l + 31 with respect to c.\nAnswer: -723*l - 367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1517 = 251*u - 2248 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-96 + 75) - (-4 - 56)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4855 - 3311. What is the remainder when n is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76165091?\nAnswer: 19, 4008689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/124621 and -25\/1197.\nAnswer: 1121589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d - 4*x + 124, 5*d + 4*x = 157. Suppose 5*q + 4*j = 126, -4*q - q = -4*j - 94. What is the greatest common factor of d and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 400, 618, 820, 1000, 1152?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 660*s**2 - 7334*s + 763. Determine d(11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0.3. Let n = 2859 - 2858.6. Let p be (-3)\/6 - (-21)\/54. Which is the second biggest value? (a) p (b) n (c) 3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*q = -x + 6, -4*x - 4*q = 0. Let m be 0*((-9)\/6 - -2). Suppose j + 30 = 4*s, m*j + 4 = -2*j. Solve s = 2*c - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - a**3 - 5*a**3 + (-4*a**3 + 4*a**3 - a**3)*(2 - 2 + 2))*(40*a - 63*a + 54*a**2 + 22*a).\nAnswer: -486*a**5 + 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = 2. Suppose -v + d = -3. Suppose 2*z + v*o = 15, -3*o + o - 52 = -5*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21706?\nAnswer: 2, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2635 + 4065 = -55*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhoh when four letters picked without replacement from hhhohhhhhhhhhhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*a - 73. Let u = 15 + 0. Suppose 0 = 5*m - 0 - u, 4*m = -4*i + a. Which is bigger: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Suppose 0 = -l + 4*q - 4, 3*q = -l + 4*q - 16. Let z = l + 24. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6)*1)\/((-920)\/(-414)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -74?\nAnswer: -7\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/(-736)*8)\/((-50)\/96)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12 - t - 2*t - t + 5*t. Give k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3694261, 3694264, 3694267?\nAnswer: 3694270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 200\/32 - 2\/8. Does 14 divide (1 + 2)\/(a\/56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.2 + -195.2. Is 0.1 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (100\/8 + 0)*4. Suppose 4*k = -b + 169 + u, -4*b - k = -816. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261087 (base 11) to base 2.\nAnswer: 1100100011011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/51 + 18\/85. Let g = 5 + -10. What is the biggest value in 5, d, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -91251.708871504?\nAnswer: -91256.708871504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h - 4*g - 252, h = g - 63. Let u = h + -327. What is the units digit of 1\/(-2)*u\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-14))\/(80\/(-280)). Find j, given that -2 + 22*j - 8 + 16 + 26*j**2 + r*j**3 = 0.\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 12565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 l, and 1 m when four letters picked without replacement from {u: 3, m: 2, a: 7, l: 4, y: 1}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2, 1 = 5*n + 3*p - 50. Suppose -51*o + s = -55*o + 38, -5*o = 2*s - 49. What is the smallest common multiple of n and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*a - 49 - 119 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 44. Suppose -4*o - l*o + 2*o = 0. Factor -32\/17*a - 16\/17*a**2 + o - 2\/17*a**3.\nAnswer: -2*a*(a + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -11.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-3)*m)\/((m*m\/(m*(m**(-7\/2)\/m)\/m))\/m))\/(m\/(m\/m**2)*m\/(m\/((m*m*m**(-6))\/m))))\/((m\/(m*m**(-1\/3)))**48)**42 assuming m is positive.\nAnswer: m**(-1351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (20 + -17)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 98. Suppose 4*l + 1255 = n*h, -3*h + 2*l + 2073 = 2*h. Suppose 2*c - 5*d - h = 0, 4*c + 0*d - 886 = -2*d. List the prime factors of c.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10780.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/141 and -127\/30.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 7*o**2 - 2*o**2 + 32. Let s(l) = -14*l**2 + l**2 + 21 + 9*l**2. Let n(g) = 5*d(g) - 8*s(g). Factor n(w).\nAnswer: 2*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 11*s - 10. Let t be c(9). Suppose o = 4*v - t, -2*v = 4*o - 0*v - 22. Suppose -o*l + 55 + 29 = 0. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74192, -74185, -74166, -74129, -74068, -73977?\nAnswer: -73850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312382236 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/91224 and -9\/2534?\nAnswer: 91224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1664827469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 35, 38, 21, -22, -97, -210?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 + 3 - 0 - 2 - (113 - (-140 + 253))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 320*y + 624.\nAnswer: 4*(y + 2)*(y + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxzz when four letters picked without replacement from zzzzzzzzzzzzxzzzzzzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 694 and 11?\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 178 + 178.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1026, -4084, -9168, -16272, -25390, -36516?\nAnswer: -49644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -54*t - 48. Let y(x) = 54*x + 53. What is -6*c(l) - 5*y(l)?\nAnswer: 54*l + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838746764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 2\/3, -2\/59, -3?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 - -310. Let t(p) = p - 8. Give t(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/25)*t**(10\/3)\/t assuming t is positive.\nAnswer: t**(166\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 2*x - 1. Let c(f) = 4*f**2 + 9*f - 3. Give -6*c(j) + 26*l(j).\nAnswer: 2*j**2 - 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 2 - 5 + t**2 + 2 + 2*t. Let c be l(3). Let g be c\/(-18) - 12\/54. Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-1 - 15) - 10. Which is the closest to 3.8? (a) v (b) -3 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/(d*d**(-8)*d))**(-3)\/(d**(-1\/19)*d*d*(d**2\/d)\/d)**29 assuming d is positive.\nAnswer: d**(-1928\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 3. Let q be s(-5). What is the remainder when 2\/(-52)*-4 + 969\/39 is divided by 1\/(1*1\/q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1711, 1709, 1705, 1699, 1691, 1681?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 21*y - 52. Let m be o(18). Suppose -r - 3*j + 39 = r, 36 = 2*r + m*j. Let v = 9 - 2. Solve -4*f + r = -v*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 3*r + 2*r + r - 3*r + 0*r - 4*r - 2*r + 7*r + (0*r + 6*r - 4*r)*(0 - 4 + 3) - 4*r + 4*r + r + 4 - 5*r - 4 - 3*r + 2 - 2.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, -30145 in decreasing order.\nAnswer: 12, -1, -30145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*i**2*n - i**2 - 6*i*n - 127*i wrt n.\nAnswer: -62*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -1\/253 (c) 0.1 (d) -1\/16 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*q = -15 + 33, -4*q - 11 = h. Solve 6*n - h*n = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 15468455?\nAnswer: 2\/3093691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4335 (base 6) to base 13.\nAnswer: 5b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -656, -644, -616, -566, -488?\n\"Answer: g**3 + 2*g**2 - g - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133 and 54.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001809408 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 3*b)*(-4 + 4 - 1)*(-2*b**3 - b**3 + 2*b**3)*(-1 - 3 + 1).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 5*i**2 + 5*i - 3. Let b be v(-6). Let r be -3 - (20 + b + 4). Is 13 a factor of (-3890)\/(-75) + (-4)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxo when three letters picked without replacement from fxfabxfofobbaxaayaab?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18538525 times -5\nAnswer: -92692625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/5 - 7*c**2\/5 - 4*c\/5 + 12\/5 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/5010209?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 + 84*g - 88 = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004514638402 to six dps.\nAnswer: 0.000451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1990*g - 1990*g - 407*g**4)*(8 + 2 + 0).\nAnswer: -4070*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Differentiate -35*u**2 - 9 + 25*u**f + 1 wrt u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6, 1, 5 in descending order.\nAnswer: 7, 5, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 275.45?\nAnswer: -10191.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (0 + (59 + -53 - (1 + 1)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z - 2*w - 11991 = 59*z, -4*z - w = -9598. Let l = -906 + z. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.86 + -1.36. Sort l, -3, 2\/3.\nAnswer: -3, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than 9931\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 48, -2\/23, -4\/7, -1.066?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4062 is divided by 135.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 10) to base 9.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 3*d - 9. Let l(r) = -r**2 + 2*r + 4. Let t(q) = -2*k(q) - 5*l(q). Let h(p) be the first derivative of t(p). Give h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - l**3 + l + (-2*l**2 - l**2 + 4*l**2)*(2*l - 3*l + 0*l) - 3*l**3 + 3*l**3 - l**3 + (4*l**2 + 15*l**2 + 47*l**2)*(-4*l + 5*l + 0*l).\nAnswer: 63*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 44*v - 715. Let q be s(11). Solve -1 = -4*f - p, 4*f + 13 = 4*p - q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.689, -38, 6?\nAnswer: -0.689","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 5208?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178145396 and 897?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = 153 - 11515. Let j = -465 + c. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103333031 - 12221?\nAnswer: -110011312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -28, -40, -50, -58, -64?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 14*c + 9*c = -10, 5*c - 10 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/19 + 7196*k**2\/19 - 7380962*k\/19 + 2331854976\/19 = 0?\nAnswer: 743, 2112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*z**2 + 6314*z + 228*z**2 - 6309*z.\nAnswer: -2*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**4*a)\/(a*a**(-7)*a*a))**(-22)*(a\/(a\/(a*a**(2\/11)\/a))*a\/(a\/((a**(3\/4)*a*a)\/a)))\/(a**(-2\/5)*a**(-5)) assuming a is positive.\nAnswer: a**(-51627\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - 7*x**2 + 12*x - 13. Calculate k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5537 and 10381084?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 28\/3, 0.3, 3185, -16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/19, 192, 1, -6 in increasing order.\nAnswer: -6, 2\/19, 2\/3, 1, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -24\/42719 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 3*v**2 - 2*v - 5. List the prime factors of f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -233759582 and -233759586 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 25*u - 18. Let w be m(-25). Let y = 110 - w. Is y a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 + 16216*i - 16434916 = 0. Calculate i.\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224*r**3 + 9*r**5 - 224*r**3 - 8*r wrt r?\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:39 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*n - 3*i + 8, 0 = n - 4*i - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5732?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 48. Solve -4*d = -3*z - 0*z + 29, -4*d + z = p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2840 and 2840 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 66, 3 in descending order.\nAnswer: 66, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 5:09 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 340 - 100. Suppose 135*g - k = 131*g. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -5 (c) -1 (d) 3\/16 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**3 + 528035*x**2 + 43630540*x + 21683260 = 0. What is x?\nAnswer: -82, -1\/2, 52886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 902231, 902560, 902905, 903272, 903667, 904096, 904565?\nAnswer: 905080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.156, -5, 1\/5, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**5 - 12*l**5 - 2*l**5 + l**5 + l**5 - 3*l**5 + (-3 + 3 - 2*l**2)*(-3 + 3 + l**3) - 2*l**4 - 2*l**5 + 2*l**4.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2047738*b**4\/9 - 30716066*b**3\/9 + 90100412*b**2\/9 + 176*b\/9 = 0.\nAnswer: -2\/1023869, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 779454 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.144 and -26?\nAnswer: -3.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c - 246. Let h be f(-45). Solve 3*s + 0 - 1 = -4*m, h = -4*s + m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2392172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(-12 - (-671)\/66). Let c = -0.01 + 1.01. Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4897 + -2922. Suppose -t = -3*s - 4*z, -s + 669 = 4*z - 0*z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 12:03 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(-x + 0*x + 4*x) + 2 - 7*x + 2 - 1 to n + a*x and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12 - (-184)\/(-192).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251503.3l in millilitres?\nAnswer: 251503300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/7 (b) 1\/2 (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 958 = 250*g + 3982 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -378.22959 and -1.\nAnswer: -379.22959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17880701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 74. Let j = 43 + m. Let t(z) = -5*z - 5. Let k(r) = r + 1. Give j*k(d) + t(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6 + 0*f - 6 - f + 1. Calculate r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2683137 - -3?\nAnswer: -2683134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 1, m: 3, h: 2}. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 6 + 5 = 3*a + 6 + 4 + 3, -12*a - 96 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 5*g**2 - 7*g + 6. Let u be w(6). Let l = u - -74. What is the second derivative of -2*b + 79*b**l - 4*b + b - 108*b**2 wrt b?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16981 or 16970?\nAnswer: 16970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 5*z**2 + 13*z + 32. What is s(-8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -38*w + 3827. List the prime factors of g(-7).\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/50? (a) -26 (b) -1\/17 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14570*j + 17810 wrt j?\nAnswer: 14570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 41265311, -1 in descending order.\nAnswer: 41265311, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 323 = -33. Let k = n + -16. Let t = k + 14. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0, -3\/7, 3309, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = -4*b, -2*b + 10 = -5*u + 3*b. Let c be u + 3 + 0 + 36. Let f = -55 + 140. Calculate the greatest common factor of c and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175564 + 54?\nAnswer: 175628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 2*f + (2 - 3 + 0)*(2 - 2 - f) + 3*f + 10*f - 6*f)*(-22*f + 8*f + 8*f).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.86587544 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**5\/80 - 37*i**4\/48 + 56*i**3\/3 - 441*i**2\/2 - 437*i - 2. Find h such that d(h) = 0.\nAnswer: 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1175 - -1999. Let b = o + -801. Calculate the remainder when 29 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 6. Suppose 4*d - 66 = -3*a + 9*d, 4*a - 65 = -d. Let m(y) be the first derivative of 3*y**2\/2 - 17*y + 2. Determine a*j(u) - 6*m(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**3\/5 - 1688114*m**2\/5 + 6752444*m\/5 - 1350488 = 0.\nAnswer: 2, 1688110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1619, -1643, -1681, -1739, -1823?\nAnswer: -1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 3 - u - u**3 - u**4 + 6*u**3 + 2*u**4 as m*u**2 + o*u**4 + v*u**3 + n*u + g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10714 (base 10) in base 15?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -90, -209, -376, -591?\n\"Answer: -24*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/(950\/15) - (-216649994)\/(-10). What is n rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-6) + 2\/(-6). Let i = 0 + 6. What is the derivative of n + 2*v - 4*v + i*v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64, 13, -90, -245, -452, -711?\n\"Answer: -26*t**2 + 27*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -281607, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -81. Let h = -477 - -469. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**3 + x**3 + 0 - 2 + 4*x**3 to the form c*x**3 + h*x + o*x**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2023 and 280.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 + 200?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**8\/3360 + h**6\/240 + h**4\/4 + h. Let w(j) be the third derivative of p(j). Find the second derivative of w(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-28))\/((-2)\/(-438613)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11573686 a multiple of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**3 - 16*i**2 - 17*i + 79. What is l(-7)?\nAnswer: 1815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576035.\nAnswer: 5, 23, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 + -81. Let d be ((-10)\/6)\/(l\/(-54)). Suppose -22 = d*n + 16. What is n rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 10*v**2 - 3*v + 1. Let x be u(-10). Calculate the greatest common divisor of 124 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 8*g - 1. Let p be a(-6). Let c = p - 7. Suppose -c*r - 8 = -q, -r = -5*q + q + 2. Which is greater: 13\/5 or q?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -211d5f?\nAnswer: 211d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d - 14*d + 8*d + 4*d + d - 1 - 4*d**2. Let h(t) = -8*t**2 + 9*t - 2. Give -5*c(m) + 3*h(m).\nAnswer: -4*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/43))\/(g\/(g**(4\/7)*g*g))*g**3\/(g**2\/g) assuming g is positive.\nAnswer: g**(1390\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 2*i + 3*i + (2 - 1 - 2)*(-2*i - 2*i + 3*i) - 5 + 5 - i + 3*i + i - 6*i + i - i + 5*i - 54*i - 8*i + 12*i in the form a + d*i and give d.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k, -7*k - 31 = -3*y - 2*k. Let c(z) = 2*z + 61. Let s(x) = 3*x + 107. Let w(p) = -5*c(p) + 3*s(p). Let m be w(y). Solve r = -r + m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.126 - -3.126. What is the third biggest value in -2\/85, 2\/11, m, -4?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-5460)\/(-15)*((-17)\/(-20) + 6\/15) and 203.\nAnswer: 13195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 1, r: 2, b: 1}. What is prob of picking 1 u and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882*m = -743*m - 834 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, d: 11}. Give prob of picking 1 f and 3 d.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 17. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i. Let u(x) = 7*x**2 + 3. What is l(u(c))?\nAnswer: 21*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1093.50231 - -0.10231. Let m = o - -1043.57. What is m rounded to zero dps?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 2, f: 3}. What is prob of sequence ffhf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2, -0.3, -2.4, -1.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -435, -653?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -246ab - -40b?\nAnswer: -242a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-3)\/((-15)\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m)**38\/(m**4*m\/m**(-1\/7)) assuming m is positive.\nAnswer: m**(956\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*m**3 - 21\/2 + 21\/2*m**2 + 3\/4*m.\nAnswer: -3*(m - 14)*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-17)*(28\/126)\/((-4)\/9).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 59. Suppose 2*p + o = j, -3*j + 146 = -p + 6*p. Is (-2)\/(-1) + j*7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 16, 41, 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. Let m = l - -2. Let r = -307.6 - -309.6. Which is the nearest to r? (a) -2\/3 (b) m (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1090362 and -36\/5166239.\nAnswer: 216982038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 968\/(-40) - (-21)\/5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.8 from -554.\nAnswer: -546.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -4*r**3\/3 + 5*r**2\/2 + 2*r - 11. Let i(c) = -c**2 + c + 1. Let m(b) = -3*i(b) + w(b). What is m(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.1 times -2702?\nAnswer: -184006.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 69*x**2 + 56*x - 132. What is the lowest common multiple of 27 and h(-68)?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**20*p)\/p)*p**(-4\/3)*p*p*p\/(p\/p**19)*p**(2\/9)*p)**33 assuming p is positive.\nAnswer: p**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -33. Suppose y*v - 2*r - 72 = 0, 8*r - 3*r = 2*v - 69. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -3*j - j + 40, -3*g - 85 = -31*g + 33*g - 5*j for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146, 244, 990, 2092?\n\"Answer: 178*x**2 - 144*x - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 302*c + 912*c - 4 - 410*c)*(3 - 1 + 3) to f*c + a and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7073188 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/3 + 1200*n**3 - 20314*n**2 + 111088*n\/3 - 17915 = 0.\nAnswer: 1, 15, 3583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkewkeqwkekeeke. What is prob of picking 1 z, 1 e, and 2 k?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (33782\/84)\/(-19) + 2*2\/24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - 5*i**5 + 0*i**5 + (2 + i**2 - 2)*(-2*i + 2*i + i)*(-2*i**2 + i - i).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2898 * -11\nAnswer: -31878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12199 + -6110. What are the prime factors of a?\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 215, 307, 379, 425?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t + 5. Let n(q) = 8*q - 6. Let s(i) = 3*d(i) + 4*n(i). Does 5 divide s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32920 times -69?\nAnswer: 2271480","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -1\/40*l**5 + 0 - 1\/12*l**4 - 2*l**2 + 0*l - 1\/6*l**3. Let g(n) be the first derivative of z(n). Differentiate g(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, h: 1, l: 3}. What is prob of picking 1 h and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (1 - 0 - (13 - (12 - 6))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59051, 118336, 177625, 236918, 296215, 355516?\n\"Answer: 2*n**2 + 59279*n - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p**3 + 47*p**3 - 135*p**3 + 47*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*b - 3*t, 5*t = -19*b + 21*b - 35. What is the highest common factor of 940 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 637*d - 8. Let j(u) = 315958*u - 3966. Let f(x) = 1983*h(x) - 4*j(x). Let p(t) = -6*t**2. What is p(f(g))?\nAnswer: -2621526*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -21.9. Let s = -220112306 + 220112307.90000009. Let n = u - s. Round n to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*o = 14 - 6, 3*k + 4*o = 16. Suppose k*r - 627 = -3*y, 0 = -13*y + 8*y - 2*r + 1059. List the prime factors of y.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12651598696 - 47071?\nAnswer: -12651645767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187891824 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-40) - ((-10)\/(-30) - 2418\/(-1170)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108969168, 108969175, 108969182, 108969189, 108969196?\nAnswer: 108969203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - g)*(16*g**2 - 33*g**2 - 10*g**2) + 3*g**3 - 12*g**3 - 3*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 b when three letters picked without replacement from {v: 2, e: 1, b: 4, s: 2, k: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**16*w*w*w\/(w**(-7\/2)*w))\/(w*w*w\/(w*w*(w*w*w**15)\/w)*w*w**(-9)) assuming w is positive.\nAnswer: w**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 146 + 9c?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 - 3. Let a be c(-5). Let f = -76 - a. Factor 0*q**f + 0*q - 1\/6*q**3 + 0.\nAnswer: -q**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0 - 6. Let v be p\/(-4) - (-8 + 6). Let g = -3.68 + 3.28. Which is the second smallest value? (a) 4 (b) v (c) 0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3 (b) -0.4 (c) -3\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1730474.928 seconds?\nAnswer: 2.861235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -2*g, 0 = -2*g - 2*w - 3*w - 16. Let v be 6\/(-4)*8\/g. Solve 0 = -9*i + 4*i, -2*i + 4 = v*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + x**2 + x - 2. Let z be (-1)\/3 - 35\/(-15). Suppose -5*v - b - z = 0, v + 6 = -b - 2*b. Let m be h(v). Is m != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**2 - 13*t - 55. Let x be l(4). Are -3 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 126.14, 0.533?\nAnswer: 126.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -73) + (3085 - 3136).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -90. Suppose -b = -4*x - 13 + 1, 0 = -5*x + 4*b - 15. Is a less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -3*v + 18, 3*n - 5*v = 2. Suppose n*i - 5*i + 5*j = -1457, -4*i = -2*j - 5882. Suppose -i = -26*s + 10*s. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(2\/19)\/(r**(-2\/5)\/r)**(29\/5) assuming r is positive.\nAnswer: r**(3957\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 676 and 40?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*a)*(8*a - 7 + 7) + 2*a**2 + 0*a**2 - 3*a**2 as x*a**2 + g + d*a and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 2\/(-4) + (-19)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 = 4. Suppose 10 = k*x + 5*h, -x - 3*h - 6 = 2*h. What is j in j**4 + j**2 - x*j**2 + 3*j**3 + 0*j**4 - 2*j**4 + j = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y*y)**49\/((y*y**(1\/4))\/(y\/((y**5\/y)\/y))))\/(y\/y**4*((y**0*y*y)\/y)\/y)**42 assuming y is positive.\nAnswer: y**(687\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.8 - 9.8. Which is the biggest value? (a) s (b) 12\/11 (c) -2\/11 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0. Let l = 490 - 751. Let y = 260.9 + l. What is the closest to 2 in f, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/17)\/s)\/s**(-3\/8))\/(s**(-1\/3)\/s**(-6))*(s\/s**1*s)**(5\/16)\/((s**(-5\/3)\/s)\/s**(2\/7)) assuming s is positive.\nAnswer: s**(-5987\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**5\/36 + z**4\/27 - 11*z**3\/54 + z**2\/9 + 75*z. Find r such that y(r) = 0.\nAnswer: -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001041786743 to six decimal places.\nAnswer: 0.001042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -4. Suppose -2*m + 120 = -q + 3*q, -4*q + 182 = 3*m. Let j = -53 + m. What is the nearest to 1\/3 in b, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*o + 3584 = -147*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0 + 0*c - 1\/2*c**3 + c**2 + 1\/20*c**5 - 1\/40*c**6 + 1\/8*c**4. Factor x(d).\nAnswer: -3*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*b + 16 + 89*b - 175*b)*(-14 + 8 - 8)*(0 + 2 - 4).\nAnswer: 28*b + 448","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 + 69 - j**3 - 12*j + 50 wrt j?\nAnswer: -3*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2*(-3)\/69). Let h = y - 2. Let v = 23 - h. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1891406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s - 16 + 27 - 9. Let z be w(3). Let m = z - -21. Solve -3*x = -x - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 less than 461?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/((-81)\/(-270)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 175 + -163 - (-1 + 21)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586417 is divided by 2903.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6*(-12 - (-90)\/27) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p - 42*p**3 + 32*p - 86*p**3.\nAnswer: -128*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*z - 8 = 0, s - 14748 + 7377 = 3*z - 7376 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9880)\/57)\/26*(4\/6 + (-73)\/15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (38 + -20) - -28 - 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58\/117 + -5\/13. Let i = 2.9 + 0.1. What is the smallest value in -1\/2, i, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -19, 35, 159, 377, 713, 1191, 1835?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -t. Suppose 12*b - 4193 = -3*p + 8*b, -p + t*b = -1404. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2696582 meters in nanometers?\nAnswer: 269658200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/((-1)\/2). Let y(h) = h**2 + h - 4. Let p be y(-3). Sort p, w, 0.\nAnswer: 0, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1224)\/459)\/(-1 - (-10)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-24)\/18*3 - (-7 + 7) - -19?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2819 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51 - (-2 - -1))*-5. Let k = 2248\/9 - y. Let x = -586\/7 - -84. Which is the third biggest value? (a) k (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1659*m - 697*m + 498*m - 422*m - 512*m to the form a*m + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = -3*b, 0 = v - 6 + 1. Let r = -13 + b. What is the units digit of r\/(-3) + 300\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 + 1157\/11. Let n = -8\/77 - u. Let o = 27 + -82\/3. Which is the nearest to n? (a) 0.2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/(2\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 3*m**2 - 5*m - 7. Suppose -46 = 4*f - 3*f. Let o = 44 + f. Let x be z(o). Put -5, x, 0 in descending order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 156436200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -451*i**2 + 100*i?\nAnswer: -902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -10\/913, -1\/3.\nAnswer: -1\/3, -10\/913, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = l + 51863400 - 10363402, l + 33199998 = -4*a. What is a rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, 22 in decreasing order.\nAnswer: 22, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jujujjujuujuujujjuu. What is prob of sequence uu?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*z + 349 = -345 + 286. Which is the second biggest value? (a) -12 (b) 4 (c) 1\/8 (d) -2\/9 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/494 (b) -530 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439\/7776 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*x = 997*x + 36 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/8))**22)**(-8)*(u\/(u\/(u\/u**(-2))))**(-3)*u**(-2\/9)*u*u**2 assuming u is positive.\nAnswer: u**(142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h. Let x = -8 - -10. Let j(q) = -2*q**2 + 8*q**2 - 2*q**2 - x*q**2. What is j(w(g))?\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r**3 - 132*r**3 - 107*r**3 + 2*r**2 + 28*r**3 - 3*r**2.\nAnswer: -167*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1573) + (1 + sqrt(1573) + sqrt(1573))**2).\nAnswer: -12586 - 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 155835483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q - 10*q + 33*q - 1 - 6*q as j*q + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 9. Let k be n(-6). Suppose -k*y + 1 = -5. Suppose 5*x = -5*b - y + 47, 0 = 2*b - 6. Solve w = x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27*12\/126)\/((-40)\/(-112)*(-8)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 8*d - 18 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 12*f - 72 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m**2 + 1)*(6*m - 6*m - 3*m**3) + (2*m**3 - 3*m**3 - m**3)*(2*m**2 - 3 + 3).\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -112221020110 (base 3) to base 6\nAnswer: -10144533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10388\/9 + -1329451\/1152. Find the common denominator of -73\/384 and t.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 40 + (1 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 16 = 3*p, 2*g - 11 = -39*p + 42*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.4. Let t = 4 - p. What is t rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 6*m - 3*m - 21*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/5 of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/379829?\nAnswer: 3\/379829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49387024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7274.794 nanometers?\nAnswer: 0.000000007274794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -10221?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/p**(4\/5)))\/p**(-1\/6))\/(p\/(p**(1\/3)\/p)*p\/(p*p**(-2\/7))))\/((p**(-2\/5)\/p)\/p**13)**(12\/19) assuming p is positive.\nAnswer: p**(1891\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*w = -y - 6, 5*y - w = 30. Differentiate 0*v + y - 1 + 3*v - 2 with respect to v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 6*q + 7. Let m be o(-5). Let v be (-9)\/3*(-496)\/12. Let z be (-6)\/(-33) - v\/(-44). Solve -3*l + 12 = -z*y, -m*y + 9 = 3*l - 4*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 + 3)) + 5 + -2 + -27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*h**2 + 48*h**2 + 5362*h - 11354*h - 2244004.\nAnswer: -4*(h + 749)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:27 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 33\/7 (c) 2\/37 (d) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 202.\nAnswer: -27\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22102000 (base 3) to base 14\nAnswer: -233b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 8. Let k(b) = -b**2 + 12*b - 3. Let n be k(11). Let j be (-1)\/(4\/n)*h. Is -17 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 20 - (9 - 3) - -23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00787996439 rounded to four dps?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * 9737.\nAnswer: 42842.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 285118943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*b - 20 = 0, s - 12 = -4*s + 3*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8 + m - 8. Let z(d) = -14*d. Calculate j(z(f)).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + -5 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(117))\/sqrt(9) + -1 - ((sqrt(39) - (sqrt(4719) - 1*sqrt(4719) - sqrt(4719)))\/(3*sqrt(12)\/sqrt(4)))**2.\nAnswer: -209 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 117*a + 472.\nAnswer: -(a - 4)*(a + 472)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592894045 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111579336 by 14949.\nAnswer: -7464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f - 425 = 0. Is 32 a factor of (3\/(-3))\/((-1)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510cd3 (base 15) to base 14.\nAnswer: -7232c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h. Solve -3*v - v + 20 = h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28283 (base 14) to base 12\nAnswer: 49563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -1)*2640\/150. What is the greatest common factor of o and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87312 and 43228.\nAnswer: 8818512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + n)*(2*n**2 - n**2 + 0*n**2) - 47*n**2 + 47*n**2 - 196258*n**3 + 207556*n**3.\nAnswer: 11299*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-198)\/(-924))*(-2)\/(-14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214.99998825 - -215. What is y rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y, -2*i + 6*i = -2*y + 144. Calculate the remainder when 209 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285268 is divided by 581?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.27 + 7.73. Let f = b + -7.9993. Round f to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + 6)*(-155)\/(-10). Do -1322\/21 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b**2 + b. Let h be a(-1). Suppose -h*t + 3*t = -1. What are the prime factors of 4*(t - 6\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1257888, -2515787, -3773686, -5031585?\nAnswer: -6289484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 16.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a + 77. Let j be m(-4). Find q, given that -6*q**2 + q**3 + 98*q**4 + 44*q - j*q**4 - 44*q = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18898 = -9*s + 59263. What are the prime factors of ((-2)\/2)\/((-23)\/s)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2}. Give prob of sequence fq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 45. Find the third derivative of -4*p**2 - p**n + 21*p**3 + 6*p**2 wrt p.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -4. Suppose -13*u + 30 = -w*u. Let g(j) = j**2 - 2*j + 9. What are the prime factors of g(u)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 1097*a**2 + 42000*a + 226687500.\nAnswer: -(a - 403)*(a + 750)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -711 - -0.96194?\nAnswer: -710.03806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 80548?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.16 (b) -2\/7 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.101, 0.5, 1\/8?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 5*a**2 + 2*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + 9. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*h + 17, h + 5*b + 13 = -0*b. Suppose 8 + 0 = -h*y. Let g be (-6)\/y - (-2)\/4. Solve s = t - g, 29 = -s + 4*s + 4*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162066859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**5\/30 + 7*a**4\/12 - 2*a**3 + 17*a**2\/6 - 11*a\/6 - 312. Factor p(q).\nAnswer: -(q - 11)*(q - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 11*u. Let z be p(-6). Suppose s = -z*s + s. Suppose 4*o + h - 756005 = -s*h, -5*o + 944990 = -2*h. Round o to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 274, 556, 838?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1*6 + -1)*-1*-4)**2*1.\nAnswer: 576*sqrt(13) + 67408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 2*f**2 + f - 3. Calculate m(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -17. Find the third derivative of 9*d**2 - s*d**5 + 0*d**5 + 2*d**5 - 5*d**5 wrt d.\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*q**2 - 279752\/9 - 1496\/9*q.\nAnswer: -2*(q + 374)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 16*f - 5. Let z be j(-8). Suppose 0 = -5*c - 22 - 38. Put c, z, 0 in decreasing order.\nAnswer: 0, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 359\/5. Suppose 4*t + 10 = -2*d, 4*t - 11 = 7*d - 2*d. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxccxcxcclcxlcc. What is prob of sequence cl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + c + 22 = 6*c, 2 = c. Suppose 0*z + z - 410 = -5*p, -g*z + 151 = 2*p. Is p a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 183*k**2 - 61576*k + 2128. Calculate v(-173).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 2*x + 18 = 0, 2*r - 30 = -4*x. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 18*s + 3*r = -1, r - 1 = 3*s. Is (s\/3)\/(9\/(765963\/(-11))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 b, and 1 e when three letters picked without replacement from gkgeqebd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 11*f - 2 - 10*f. Let c be (0 + -1)\/2*14. Let x be w(c). What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -192*u + 10. Let o(r) = -5*r - 2. Let v(h) = -5*o(h) - q(h). Let d(g) = -9*g. Give 49*d(i) + 2*v(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18019203231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from vhvvhvhvhhvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3044670206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f. Suppose -5*r = 4*b - 30, 2*b = r + 2*r + 4. Suppose -r*i - 2 = -0*i. List the prime factors of j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67\/189 - 2\/27. Which is the closest to j? (a) -5 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.39 - 66. Let j = -0.41 - z. Sort -4, 6, j in decreasing order.\nAnswer: 6, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*a = -35, -3*d + 2*d + 4*a = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*y - 13. Let u(n) = 4*n - 1. Let f be u(y). Let l = f - 12. Which is the biggest value? (a) -0.1 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 167 = 5*k - 0*z, 4*k - 156 = -4*z. Let w = -59 + k. Let q = 29 + w. Sort 0, -3, q in decreasing order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26036 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -59*h - 6. Let l(q) = -4*q**2 - 3*q. Let w be l(-1). Is y(w) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1036.324 kilograms to milligrams.\nAnswer: 1036324000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80137, 160538, 240939, 321340, 401741?\n\"Answer: 80401*u - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*f*q - 644*b*f + 2*b*q - 3520*f*q + 12*q + 91 wrt q.\nAnswer: -4*b*f + 2*b - 3520*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/4589 + -114633\/422188. Let i = l + 1\/46. Which is the closest to -0.1? (a) 0.4 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 570*y + 8805 = -521*y + 42595 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**2\/3 - 20*a + 136\/3 = 0.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 1)*(-7 + 7 - 5*l)*(2 + 3 - 4).\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 5919 = 23*p. Suppose -o - 5 = 0, -p = -2*y - 3*o + 9570. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 380*f**3 - 3255*f**2 + 8730*f - 7560.\nAnswer: 5*(f - 3)**2*(f - 2)*(f + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/624 and -59\/468.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 729039, 729074, 729109, 729144, 729179, 729214?\n\"Answer: 35*m + 729004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 3. Let y(i) = -42*i + 3. Let m(v) = 15*f(v) - y(v). Let q be m(-3). Solve -7 = -13*d + q*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1070, -1420, -1660, -1742, -1618, -1240, -560, 470?\n\"Answer: 8*d**3 + 7*d**2 - 427*d - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t**2 + 0 - 4*t**4 - 6*t**4 + 13*t**4 + 22*t**2 - 20*t**3 + 4 in the form h + o*t**4 + m*t**3 + u*t**2 + z*t and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, 53, 55, 55?\n\"Answer: -g**2 + 7*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*l = -y + 53, -4*y - 56 = 4*l. Let k = y - -26. Calculate the highest common factor of k and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -42*j - 2 + 71*j + 4 + 0 - 1. Calculate r(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.17 - 5.17. Which is the third smallest value? (a) -0.5 (b) 2\/19 (c) -20 (d) 0.1 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 35 = -5*u, 5*u + 0*u - 3*q = 10. Put -9, 11, u in ascending order.\nAnswer: -9, u, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**2 + 8. Let x be r(3). Calculate the greatest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 n when four letters picked without replacement from yyddddyddjynyndd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 70*r**2 + 11322*r + 92. Determine m(77).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -300\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(192) + sqrt(304) + 2 + sqrt(19)*2*-3*-4 + -2 + ((sqrt(19) - sqrt(171))*6 - sqrt(19) - (-1 + (sqrt(19) - sqrt(171)))) + -2)**2.\nAnswer: -69*sqrt(19)\/2 + 90475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*j**4\/4 - 681*j**3\/4 + 3195*j**2\/2 + 864*j - 648 = 0.\nAnswer: -6, -12\/13, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k - 11. Let z be g(5). Calculate the greatest common divisor of 156 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -752970583 divided by -2.\nAnswer: 752970583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0. Let j be ((-2)\/(-18))\/(6\/(-18)). What is the closest to j in w, -4, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/3, -1\/13, 2\/5, -0.1, 2, 0.5, -623?\nAnswer: -623","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4, 3, -22.8, 7?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4761\/8 > -595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffzffffzffffxfx. What is prob of sequence xffx?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1677 + 1690 + 3580\/(-276)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + c**2 + 0*c**2 - 6*c**2 as t*c**2 + r + u*c and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*u - 3, -20 = -0*u + 4*u. Let t be 11 - (-3)\/3*f. Let y = 0 - t. Let k(b) = 9*b - 3. Let i(z) = -14*z + 5. Calculate y*k(m) - 5*i(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*q - 5524 - 7265 = 377*q for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/9 + (-5)\/15. Let l(v) = -2*v**2 + 4*v. Let h be l(t). Let g = h + 17. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21 + 19)*(-17)\/1.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-3))\/((-231)\/(-462))*(-3)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 10*f**2 + f**2 - 7*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 1. What is g(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4501117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 12:03 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/58168 and 23\/799810.\nAnswer: 3199240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(76) + sqrt(19) + (sqrt(114)\/sqrt(6))**2 + -1.\nAnswer: 3*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w**4 + 9*w**4 + 11*w**4 + 9 + 2*w + 3*w**3 as o*w**4 + v*w**3 + l + h*w**2 + u*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 25*a - 2. Suppose -l = -v + 5*v + a, -v = -3*l + 46. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -0.02841?\nAnswer: -0.37159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-410)\/(-6642)*264\/(-110)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 9. Let w be o(-6). Suppose x = -4*x + 130. Let k be -14*((-8)\/(-14 - -12) + (-26)\/4). Solve 5*u - w*i - k = 0, i = -4*u + 3*i + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8442257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from hohphfhhphdf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 225.333 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 27 = -77. What is the third smallest value in -1, -13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 4583*k**4 - 34*k + 21*k + 4590*k**4 as z + n*k**2 + m*k + s*k**3 + p*k**4 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/4 - (52\/(-8) + 8). Solve -y + 4*q = 6, -2*y + 6*y + p = -q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahmvaoohhaaphm. What is prob of sequence vhhp?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmdmdbqbdddddbddam. Give prob of sequence mam.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:28 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 3*r**5\/20 + r**4\/6 + r**3\/3 - 13*r**2. Let p be c(-2). Let j = 52 - p. Calculate the smallest common multiple of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 5 (c) 1320 (d) -5 (e) 0.1 (f) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 910795 - 887313 = 2752633. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15952 and -20.519158?\nAnswer: 15931.480842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 30*g**2 - 195*g - 65. Let k(o) = -o**2 + o - 1. Let t(x) = -f(x) + 5*k(x). Factor t(n).\nAnswer: -5*(n - 6)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 = 529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 194 + 403)*(-5*x**2 + 4 - 4).\nAnswer: -2645*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11619 and 51189441.\nAnswer: 153568323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) + -3 + 674. Suppose 120 = 2*w + 4*h, -22 = -3*w - 2*h + 122. What is the highest common divisor of w and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16039881 by 11979.\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 45 = -2*t, -2*t = 20*p - 17*p + 31. Let l be 1\/(4\/8*-1). Which is the third smallest value? (a) -3 (b) p (c) l (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -21, -17, -11, -3, 7, 19?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 44728008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65340.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110001111000 (base 2) to base 9.\nAnswer: -60846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5238270 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2205*m**3 - 1531*m wrt m.\nAnswer: 13230*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -s + 7. Let f = -21 - s. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4543 - 14?\nAnswer: -5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -5, 1\/4, -3.59, 2\/7?\nAnswer: -3.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 2*h**2 - 14*h**2 + 0*h**2 + 0*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose -3*a = 2*a - 180. What is the highest common divisor of a and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 6848165*l - 75330420.\nAnswer: 5*(l - 11)*(l + 1369644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = -3*a. Let q(w) = -14 + 26 - 6*w**3 - 19*w + w**3 - 10*w**2 - 2*w**3 + 8*w**3. Is 9 a factor of q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -i + 20, -a + 2 = -2*i - 2. Let g be (0\/a)\/(2*1). Suppose g = -3*p + 49 - 10. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 969.3465 millilitres?\nAnswer: 0.9693465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eek when three letters picked without replacement from {e: 11, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 68. Let u(r) = -r**3 - 3*r**2 + 5*r + 5. Let s be u(y). Let z(n) = 5*n**2 + n - 1. Determine z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.0396l to millilitres.\nAnswer: 50039.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-5\/2)*r*r*r**(2\/5)\/r)\/((r*r**(1\/10))\/r**(-7\/4)))**1)**(-1\/6) assuming r is positive.\nAnswer: r**(-41\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v + 31. Let z be g(-8). Let b(r) = z - 2*r - r + 5*r. Suppose -j = -4*j - 21. Determine b(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8346)\/(-7) + (-104)\/364?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0 + 0*d + 0*d**3 + 0*d**4 - 5*d**2 + 3\/20*d**5. Let m(b) = 1. Let z(c) = -3*c + 5. Let g(r) = 5*m(r) - z(r). Give g(s(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248804 is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 - (-337540)\/2520 - 21\/(-1).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f + 9*f + 145834 + 50768. What are the prime factors of f?\nAnswer: 3, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/12)\/(-5 + 252\/48)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r = 1260 + 212. Calculate the remainder when 272 is divided by r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43221 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*(-3)\/231*-22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 948329433 to the power of 1\/3, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -79. Let f = 33 + -22. Calculate the remainder when o is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) + (0 - -1). Let b = j + 2. Suppose -b*z + 5 = -5. Solve -3*v + 2*v = z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u. Let v(b) = -30*b + 7*b + 13*b + 9*b. Suppose 2*r - 3 = 5*p - 0*p, -3*r = 4*p - 16. Let o(w) = -w. Let c(g) = r*o(g) + v(g). What is c(q(z))?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 11*k + 14. Let b be f(-14). Let x = b + 16. What is the units digit of (18\/x)\/(6\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 2, 2\/15, 6, -44, 1\/4 in decreasing order.\nAnswer: 6, 2, 1\/4, 2\/15, -1\/12, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.498 - 7.679. What is the biggest value in -1, -2\/17, d, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*(-12)\/63.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*d - 8*b**2 - 2*b*d + 4*b + 1287*d + 1 wrt b.\nAnswer: -4*b*d - 16*b - 2*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let q(b) be the second derivative of 0*b**3 + 0 + b + 17\/12*b**4 + 0*b**2. What is s(q(x))?\nAnswer: 289*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 209\/(-1045) - (-16)\/10*2. Suppose -4*n = -r + 74 - 286, -2*n - 4*r = -124. What is the highest common factor of q and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d + 5. Let l(w) = -4*w - 6. Calculate 5*i(f) + 4*l(f).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113.1 + 113.100000288. Round z to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1698*r**3 + 2*r - 4*r - 135*r**3. Let w be o(2). Let l be w\/15*(-18720)\/(-1). What is l rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2300113222 (base 4) to base 14\nAnswer: 14b3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 1148 = -7*b. Find the third derivative of 26*j**3 - 5*j**2 - b*j**3 + 7*j**4 - 7*j**4 - j**4 - 2*j - j wrt j.\nAnswer: -24*j - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1005 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/45 and 38\/177605?\nAnswer: 1598445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1670*u**2 - 6*u - 5 + 836*u**2 + 835*u**2 to the form h + k*u**2 + n*u and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 x when four letters picked without replacement from {b: 3, x: 3, n: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*z - 3, 37*z - 16 = -4*h + 33*z. Solve 0 = u - h*l + 7*l, 3*u = 5*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -32*q - 4. Let d(h) = 847. Let i(y) = 706. Let j(l) = 5*d(l) - 6*i(l). What is 6*j(p) - m(p)?\nAnswer: 32*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/7 - 452*b**3\/7 + 18048*b**2\/7 - 4964*b + 2450 = 0 for b.\nAnswer: 1, 49, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33390 + -49390. Round p to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + h**2 - 5*h + 2*h**2 + 4. Let u be m(-5). Solve -5 = -o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6*y = -2*y - 16, r = -3*y + 14. Let j be (-86)\/(-2) + (-1 - r). Suppose -j = -4*x + 5. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -546 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96.5 - 30.5. Let u = 126.9851 + a. Round u to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**29*c**(-18))**41 assuming c is positive.\nAnswer: c**451","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -173, -208, -269, -362, -493, -668, -893?\n\"Answer: -s**3 - 7*s**2 - 7*s - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:32 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112124996 is divided by 1300?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8450 and 374075?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.5735 and 0.7.\nAnswer: 2.2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 750 and 1650?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36430 is divided by 311?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(15) + (sqrt(15) + sqrt(60) - sqrt(15)))*-1 - sqrt(15)*2*1))\/((2*sqrt(135))\/(sqrt(108) - (sqrt(108) - (2*sqrt(108) + sqrt(108))))).\nAnswer: -75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 20*d + 663. What is q(-24)?\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*sqrt(720))**2 - ((sqrt(720) - (2 + sqrt(720))) + 5)**2.\nAnswer: -25929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699543*n**3 + 349773*n**3 + 349766*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37533 + 245530?\nAnswer: 205775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3)*f**(-1)\/f)\/((f*f\/(f*f*f\/(f**(-2\/23)\/f)))\/f**(-4))*((f**(-1\/5)*f)\/f**(-7))**(2\/3) assuming f is positive.\nAnswer: f**(608\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3448 - -3455. Suppose -3*z + 30 = 3*x, -z - 14 = -4*x - x. Let r be (-7 - -4)\/((-6)\/4) + 2. Solve -3*f + y*f = 4*i, r*i = 2*f + z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n*s**3 + 217*n*s**2 - 93*n + 2*s wrt s.\nAnswer: -18*n*s + 434*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -40?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2.6.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u + 13. Suppose -3*o + 8*f = u*f - 3198, 2*o = f + 2136. Suppose 354 - o = -4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19925 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u - 1. Let v(g) = -3*g - 1. Let x be (2 + 6\/(-3))\/(-1). Let q be v(x). Let i(f) = -f**2 + 3. Give q*i(z) - h(z).\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 1, r: 2, q: 2, z: 6}. Give prob of sequence rqh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, 2, -2, 0.22, -21\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 40 = -5*p. Let m be ((-18)\/p)\/((-5)\/(-120)). Suppose 2*j + 4*j - m = 0. What is the lowest common multiple of 11 and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**5 - 78*g + 110412*g**3 + 29 - 110412*g**3 - 23*g - 520*g**4 wrt g.\nAnswer: -80*g**3 - 6240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 9*p = -20 - 82 - 0, 5*h + 77*p - 12*p = 120 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628959?\nAnswer: 3, 31, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/5 (c) -84 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110 (base 2) to base 3.\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/15 + 9*m**5\/20 - 8*m**4\/3 + 49*m. Find the third derivative of h(i) wrt i.\nAnswer: 48*i + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 1. Let l be h(-9). Let q = l + -33. Let b(o) = 2*o**3 - 2*o**2 + 1. Let n be b(-1). Put q, n, 3 in ascending order.\nAnswer: q, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9299 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/12 + 53*r**3\/6 - 114*r**2 + 5*r - 5. Let w be d(4). Solve 5*s = -w*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/48 and -121\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 145159192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, -0.176, -1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(-1)\/(b\/b**(-2\/3)*b)**(-28\/9))\/((b**(-1)\/((b*b\/b**(-2\/7))\/b))\/(b*b**1)**(9\/8)) assuming b is positive.\nAnswer: b**(50017\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63372.\nAnswer: 2, 3, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + sqrt(360)*-3)*-5 + sqrt(360))\/(sqrt(8) + sqrt(2048)).\nAnswer: 33*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:52 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7)*-2*6)**2 + 2)*3.\nAnswer: -12090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 11*m + 69 = 0. Let f = -2181 + 2250. Is f < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 316*k + 317*k + 256 = 5*a, 5*a + 2*k = 155 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2448 and 149\/166464?\nAnswer: 166464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -43.89017.\nAnswer: -8.778034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/23)\/((-13502)\/(-310546)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) + 4000\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l = 8. Suppose -713 + 707 = -l*v. Solve 2*r + 2*x + 10 = 0, -3*r - v*x = -4*r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-6 - -3) + 4. Let v(j) = j + 13. Let x(g) = 6. Let m = 32 - 27. What is m*x(l) + y*v(l)?\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149907773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1410 and 62\/105.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 120*m**2 - 499*m - 622. Let w(o) = -10*o**3 + 1320*o**2 - 5485*o - 6838. Let u(f) = -23*n(f) + 2*w(f). Let u(a) = 0. Calculate a.\nAnswer: -1, 6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.3 and -31.38?\nAnswer: 134.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:22 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 52 = 36*r + 3*w - 0*w, -332*r = -329*r + 12*w - 45 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9387 and 24?\nAnswer: 75096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and 1734656 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - w. Let y(d) = 4*d**2 + 2*d + 10. Suppose 2*u = 3 - 5. Let g(i) = i**2 - 9*i + 20. Let s be g(7). Let m(t) = s*q(t) + u*y(t). Factor m(j).\nAnswer: 2*(j - 5)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 22. Let b = 46.7 - 30.47. Let y = u - b. Round y to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -21968 = 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -142698, -142717, -142738, -142761, -142786, -142813?\n\"Answer: -u**2 - 16*u - 142681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r. Suppose -a = -2*a + 91. Let z = a - 45. Let j(i) = 27*i - z*i + 30*i. What is q(j(n))?\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 112, 216, 352, 520, 720?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/8 + g**3\/6 + g**2. Let p be s(-1). Let i = p - 2. Solve h - i = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*-2*(-2)\/(-8). Suppose -f + y - l = 6*y, 5*f = 2*y + 66. Suppose -v = -2*v - 2, -4*g = 2*v - f. Solve -2*q = g*p - 5*q - 13, 2*p + 3*q = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 29.908. Let x = 0.09200053 + c. What is x rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15\/4, -3, -2, 3\/5?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 690 = -42*c. Suppose -142 = -5*y + 53. What is the remainder when y is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 5 - (-39 - -55).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 - 6 = 0. Let p be (7\/(-5) + c)*5. Find the first derivative of 2*z - 2 + p - 3*z wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-1))\/((-532)\/(-399))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 73178.0744 to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1)\/((-2)\/2). Suppose o = -i + 57 - 46. Calculate the greatest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.301476 years in millennia?\nAnswer: 0.009301476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5161 + -2925. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002194059 rounded to six decimal places?\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 719 - 201. Let u = y + -517.94. Let f = 1 - 0. Which is the fourth biggest value? (a) f (b) -0.3 (c) 5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 422381, 1689545, 3801483, 6758195, 10559681, 15205941, 20696975?\n\"Answer: 422387*f**2 + 3*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + y**2\/4 + y\/4 - 1\/4.\nAnswer: -(y - 1)**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 54*l**4 + 35*l**2 - 2*l. Let p(a) = -a**2 + a. Let d(r) = 2*p(r) + z(r). Find the third derivative of d(o) wrt o.\nAnswer: 1296*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37442153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3 + 2\/3. Let h be (2 + (-105)\/55)*0. Solve 2*z + z - 5*i = r, h = -5*z + 4*i - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*t + 5*s, -4*t = -4*s - 118 + 94. Let r(a) = 3*a + 0 + 1 + 2*a. Let c be r(-1). Is t >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**5\/5 + 12*n**4\/5 + 111*n**3\/5 + 204*n**2\/5 + 108*n\/5 = 0.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**2\/5 + 15348*i\/5 + 6144 = 0. Calculate i.\nAnswer: -2, 2560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 317.96 - 325. Let d = 4.93 + f. Round d to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 + d - 8. Let u(l) = 2*l - 18. Let x be u(12). What is g(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 31 = -3*k. Suppose 3*l = k*l - 10. Solve -3*y = -4*c - l, -3*y - 5*c - 5 = 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 342*j + 561. What is n(-3)?\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - -95. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*4\/(-40)*(-2)\/(-4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 3*i + 85 + 83 - 248.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76635 and 30446?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1 - -9 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862 = -41*d - 614 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81886 = 10*z - 81936. Let h = 0 - -2. Let d(w) = w - 2 - w + 5*w**h - w**3. Calculate d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 578, 878?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/6)\/3 + (-2247)\/(-14). Let i = h + -148. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*y - 32 = 0, 3 - 8 = -4*g - 5*y. Suppose -8832 + 44832 = g*u. Suppose -u = 23*w - 5*w. Round w to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 14*p**2 - 16*p + 9. Let v be i(15). Is 4491\/v*4\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/26450 and -167\/15870.\nAnswer: 79350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:55 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2620947 bigger than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1550648 = 419*k - 68578497. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (394 + -1522)\/(-19 + -5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*t - 666*t + 256*t + 239*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81070340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14547 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 9 = 5*b, -3*n - 16 = 5*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.054 - -0.146. Is r equal to -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.5 (c) 2\/13 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-798)\/28*34\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 175*s**2 - s + 3. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5305*z**4 + 2*z**3 + 2*z**2 - 342*z - 20?\nAnswer: 127320*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.14 - -0.14. Let y = k - -15. Let v = -0.02418 + 0.52418. Which is the smallest value? (a) y (b) -7 (c) v (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + j - 6*j + (-2 + 2 - 1)*(4*j + 2*j - 4*j) - 658*j - 259*j - 425*j.\nAnswer: -1346*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.405 and 7.\nAnswer: 2.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 3*x + 2. Suppose -28 = -4*h - 12, h - 7 = -n. Let k be z(n). Suppose 2*m + m + 12 = a, m = -k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-16) - 257\/(-4). Let z = l + -43. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16b97 (base 15) to base 11.\nAnswer: -50241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Let f(x) = x + 7. Let n be f(z). Suppose 3*g + 4*c - 2 = 0, -2*g + c + 9 = n*g. Solve -g*k - 5 = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-14)\/(d**(1\/4)*d))\/(d**(-10)\/(d*d**(-6))))**(-19) assuming d is positive.\nAnswer: d**(779\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ujabbbjbajbjbjjtjj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:23 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1506602 divided by -2.\nAnswer: -753301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11904? (a) 0 (b) -2\/25 (c) -3\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:01 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 662 + -646. Let g = 18 + -10. What is the lowest common multiple of o and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-75995174)\/6118)\/(1\/(-7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 53078 and 53078 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-2))\/(-2)*-1. What is the tens digit of (63\/6 + -1)*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 639846 divided by 9\nAnswer: 71094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3786, 16405, 37394, 66717, 104338, 150221, 204330, 266629?\nAnswer: 337082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2222021 (base 3) to base 7\nAnswer: 6214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from pxqqpqxpq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*c - 88, 16*c + 4*p - 2 = 14*c. What is the second biggest value in -8, 0.5, -1\/3, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577310951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5324224542 - 0?\nAnswer: 5324224542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 (base 8) in base 2?\nAnswer: -1000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -36, -4*n + 9*n = 2*u + 357 - 444 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**4\/6 - 6869*r**3\/3 - 13512325*r**2\/6 - 574276386*r + 576530730 = 0?\nAnswer: -12695, -522, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2583 + 2585. Let i(z) = -8*z**2 - 2. Give i(b).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 260\/24 + -2. Suppose -5 = -l - 4*l. Which is the closest to l? (a) x (b) 0.5 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l - 4, -5*x + 5*l = -20. Let f = 16 + x. What is the remainder when 82 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*o - 1423 - 1002, 3*o = -2*f + 1617. Suppose -14*y + f = -9*y. Calculate the highest common divisor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -0.5, -0.07, -2, -30, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 792*u**2 + 52272*u + 1149984 = 0 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-64)\/15)\/((-8691)\/(-130365))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7099099*k**2*t**3 - 31*k**2*t + 20546*k*t**2 + 2*t**3 wrt t?\nAnswer: -42594594*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -297 - -495. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -44.5. Let z = 1418 - 1421. Which is the closest to -2\/3? (a) z (b) -0.3 (c) -5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 4 - 21)*(5*u + u - 5*u)*(3 + 0 - 1).\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40541.\nAnswer: 71, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w\/(w**(-1\/5)\/w))*w)\/w*w*w**2*w)\/(w\/(w*w\/((w*w*w**(-3))\/w*w)*w)*(w*w**(1\/6))\/w) assuming w is positive.\nAnswer: w**(199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 5, 0.1 in ascending order.\nAnswer: -5, 0.1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 1.4. Which is the third smallest value? (a) -1 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 t when four letters picked without replacement from {h: 2, t: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.4 - -74.3. What is m rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 57 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89, 86, 83, 80, 77, 74?\n\"Answer: -3*v + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -326 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2378498, -4757028, -7135558, -9514088, -11892618, -14271148?\n\"Answer: -2378530*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -245 - -345. Let j = -29 + y. Suppose 7*n - 533 = -j. Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*z + 1661, 147*z - 148*z + 321 = -2*u. What is the remainder when z is divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24)*-10*(-32)\/40)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:50 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 4236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 251*a - 3 + 4.\nAnswer: -251*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*p + 28, p = 4*a + 2*p - 22. Solve a + 9 = 7*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33880)\/616*(-2)\/44.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 12*w**2 - 8*w + 36. Let l be g(-11). Let h(j) = 4*j**2 - 12*j + 4. Let n be h(l). Factor 0 + 1\/5*k**5 + 0*k**n + 0*k**2 - 1\/5*k**3 + 0*k.\nAnswer: k**3*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 8*b. Suppose 3*w + b = -3. What is the nearest to -2 in -0.3, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214171849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1008) + 2 + sqrt(1008) + 0)*2.\nAnswer: 8 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18457 + -18456.98. Let p = -596\/7 - -85. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276 + -424. Let p be (q\/(-6))\/((-32)\/(-12)). Let z = 243\/28 - p. Put -2\/13, 2, z in ascending order.\nAnswer: z, -2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676901.9t to milligrams.\nAnswer: 676901900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7796.11528 - 7796. What is y rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2 + 3*c - 3. Suppose 0 = 4*w + f + 32, -2*f - 3 = -w - 11. Let s(o) = -19*o**2 - 8*o + 8. Give w*b(r) - 3*s(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-14)\/(-140))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*c - 11381, 2*d - 5381 = 5*c + 2238. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31766.6l to millilitres.\nAnswer: 31766600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03418772338 to 5 dps.\nAnswer: 0.03419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 24. Let w be (55056\/750)\/(g\/(-10)). Let a = w + -367. Is 0 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2 + (-5106)\/30. Let h = a - -168. Factor h + 2\/5*p**2 + 6\/5*p.\nAnswer: 2*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 1028102 + 1028105 - 36*v**2 + 0*v**3. Give j(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/120 + 3*k**5\/20 - k**4\/24 - k**3 - 2*k**2. List the prime factors of t(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 2 r when four letters picked without replacement from rrllrrkzzlz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 1140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 10:58 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = j - 6, 0*j + 12 = -2*j + 2*z. Let w be -2*(-6)\/j*(-8)\/6. Suppose 0 = 5*x - i - 112, 2*i + w = -0*i. Is 22 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*k = -0*k + 1060, 5*k + 2120 = 4*y. What are the prime factors of y?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -414454, -827167, -1239880?\n\"Answer: -412713*x - 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 703 - 681. Solve o = -2*t + 6*a - 3*a, 2*a = t + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3\/4, -3, -1\/1286, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 + 95 - (0 + 8)) + (1 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 4. Let x = c - 6. What is the second biggest value in x, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of ((-7)\/(-21)*-21)\/(2\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/c**(3\/7))*c))\/c)\/(c*c**44) assuming c is positive.\nAnswer: c**(-332\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 1. Let n be i(-2). Let w(o) = 15*o + 8. Is w(n) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*g + 6085 - 2115, -5*g + 3*m = 4966. Let w be (-1)\/(-2) - 17718\/18. Let z = w - g. Calculate the common denominator of z and -89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1542 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106 - 222)\/(10 + -6).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1289531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2264768513289*y + 15*y**3 - 2264768513289*y.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14871, 14863, 14855?\n\"Answer: -8*w + 14879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85429 = 761*w + 40263 - 41221 for w.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h = 89*h - 41*h + 3*y - 9, 2*h = -5*y + 21 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 1557. Let v(l) = 53790*l - 1. Give z(v(c)).\nAnswer: -107580*c + 1559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-8))\/(119\/952). Solve w*z + 25 = -a, 14*a = -3*z + 17*a - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17*l**2. Let a(r) = 85285*r. Give a(x(u)).\nAnswer: -1449845*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 3. Suppose k = r + 3. Solve -1 = r*h - 3*a, 5*a - 10 - 1 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 176 (b) 15 (c) -2 (d) -2\/561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/20 - 2\/(-8). Let v(d) = -1 + 5*d**2 - 6*d - 4*d**2 + 2*d - 3*d. Let s be v(7). Is i <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-12)*d)\/d)\/(d\/(d**(-4)\/d))*(d**(-3\/7)*d)\/d**(-7) assuming d is positive.\nAnswer: d**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24 - 1 - (3 + -1). Suppose -3*v = -0*v - z. Suppose k + v = 29. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/65 + 71\/195. Let i(w) be the third derivative of 1\/30*w**5 + 3*w**2 + 0 + m*w**3 + 0*w + 0*w**4. Differentiate i(g) with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -4 + -3 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.41 + 15.59. Let w = -36 + a. Let q = w + 21. What is the nearest to q in 2\/11, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m*m*m**5)*m)\/(m**(-6)\/m*m)*((m\/((m\/(m*m\/(m\/(m*m\/m**22*m))*m*m))\/m))\/m)\/(m**(6\/7)*m) assuming m is positive.\nAnswer: m**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 times -0.3?\nAnswer: -128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.04, -9 in ascending order.\nAnswer: -9, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2397 = -2*f - 2415, -4*f - 3*x = 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351504 (base 7) to base 5.\nAnswer: 4004033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -1\/3, -1, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55120240 (base 6) in base 4?\nAnswer: -12101032200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 54 - 226 + 111 to n + j*a**2 + l*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -77, 3, 106, -19.\nAnswer: -77, -19, -2, 2, 3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 divided by -3?\nAnswer: -400\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3498 - -3499. Suppose 0 = -4*m - 8, f - m - 4 = -0*m. Let q be (0 - 1\/5) + 0. What is the closest to 0.2 in x, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*s - 5*y, -y + 5 = 11*s - 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20249 - 40486 - 2*v + 20237 + 16082*v**2 as g*v + y + a*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*b**5 + 1635*b**4 + 43395*b**3 - 61335*b**2 - 14100*b + 30396 = 0. Calculate b.\nAnswer: -149, -34, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-3 - 2) + -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (122\/(-66))\/(17128\/(-42144)). Let y = 6\/2141 - a. Calculate the common denominator of y and 44\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -6.24. Let q = -6 + y. Which is the second smallest value? (a) q (b) -3\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 36. What is the lowest common multiple of m and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 + -162. What is the derivative of 11*r**a - 60 - 2*r + 4*r**2 + 111 wrt r?\nAnswer: 30*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 34226*r**2\/3 - 34229*r\/3 + 1 = 0.\nAnswer: 3\/34226, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3790*p**5 + 286*p**4 - 789*p**2 - 130*p + 1?\nAnswer: -227400*p**2 + 6864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10350 (base 6) to base 4\nAnswer: -112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 39*x**5\/5 + x**4\/3 - 649*x**3\/3 - 724*x. Find the second derivative of c(l) wrt l.\nAnswer: 936*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i*i*i\/((i**(-4\/7)\/i*i*i)\/i))**(-39)\/((i**(-6)\/(i\/(i**(-4)*i)))\/(i*i*i**(2\/3))**(-43)) assuming i is positive.\nAnswer: i**(-3212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let p(n) = -1159*n**2 + 37. Give p(g(c)).\nAnswer: -1159*c**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f + 27. Let d be p(15). Let v be d\/(-54)*(-3 + 0). Let u(c) be the second derivative of c**3\/2 + c**2\/2 + c. What is u(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (2 - 0)) + 8. Suppose u = -h + 29. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644262 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 183, 366, 547, 726?\n\"Answer: -b**2 + 186*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s = 0. Let a = -58 - -63. Solve -2*b + 7*b + 2*n + 7 = s, -4*n = b + a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -653*k*x**3 + 15*k*x**2 + 158248*x**3 + 18*x**2 + 230*x + 216 wrt x?\nAnswer: -3918*k + 949488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 4. Let p(a) = -9*a - 26. Let t(c) = 14*h(c) + 2*p(c). What is t(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 8 - 1 + 3 - 3 to v + t*m + o*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*7\/(-7) - -4. Suppose -v*m = 8*m. Solve 20 = -m*t - 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -426*g - 34. Let j be i(-5). Let h = j - 20989\/10. Find the common denominator of 65\/8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + b = 4*t - 12, -3*t - 4*b = -21. Let y be ((26 + 4)\/t)\/(-2). Do -2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*j - 235*j = -375*j - 407*j - 14130 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 22*m + 126 = 0. What is the remainder when 209 is divided by m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 11. Let b(g) be the first derivative of g**3\/3 + 5. Give b(z(l)).\nAnswer: 4*l**2 + 44*l + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 20. Let l = 44 + n. What is the lowest common multiple of 6 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.64043 (b) -1 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or -28327\/404?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081089231 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8181 take away -0.016?\nAnswer: 8181.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -74050.2053 rounded to the nearest integer?\nAnswer: -74050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5752 or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/5 + (-12)\/30. Suppose -4*w = -t*i - 16, 5*i + 3*w - 28 = -3. Find l such that -2*l + 3*l**4 - 3*l**3 - 5*l**2 + i*l**2 + 5*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6675?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 4 (c) -1\/33 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124084411 divided by 2?\nAnswer: 124084411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 75991740 to the nearest 1000000.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -806 + 881. Calculate the highest common factor of u and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-14))\/((-1914)\/4466)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/30 - n**5\/30 + n**3\/6 + 5*n**2. What is the units digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = a + 186, -3*h + 182 = -a - 0*a. Let v = a - -358. Calculate the smallest common multiple of v and 8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*b)*(3*b**2 - 3*b**2 + b**3) + 26*b**4 - 763*b**3 + 763*b**3 + (b - 3*b + 3*b)*(b**3 + 1 - 1).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31835 - 53\nAnswer: -31888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.6783*-0.02.\nAnswer: -0.493566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 31 = -l - 0*l, -4*b + 73 = -5*l. What is the units digit of (-975)\/(-24) + b\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 34*a. Let t(x) = -3*x - 1. Calculate d(t(z)).\nAnswer: 27*z**2 + 120*z + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/6 + 3*u. Calculate d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20978222 divided by 2.\nAnswer: -10489111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 843337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25192 and 148003.\nAnswer: 1184024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -64 - 53. Suppose 5*l - h*l + 10721 = 3*v, -3*v = -l - 10741. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + s - 1 + 4*s - 3. Let h be t(3). Is 5 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2076389*k - 692141*k - 692160*k - 692137*k.\nAnswer: -49*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6285 - -28112. What is the greatest common factor of 598 and m?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1539500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 7. Let p be r(0). Let i = 140 + p. Suppose 815 = 2*f + w + i, 0 = 4*f - 2*w - 1364. Calculate the greatest common divisor of 31 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c. Let x(v) = 2*v**2 + 4*v + 4. Let w be x(-1). Suppose g - 2 = w*k, 5*k + 2*g = 2*k - 17. What is p(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 2*m**3 - 2*m + (5*m - 3*m + 0*m)*(-m**2 - 2*m + 2*m) - m**3 + 0*m**3 - m**3 - 2*m**3 - m**2 + m**2 + 4*m**3 + 3*m**3 - 4*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100001 - 1110?\nAnswer: -10010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 156839 - 281.0773\nAnswer: 156557.9227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqxa when four letters picked without replacement from {q: 3, c: 10, x: 2, a: 1}.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 c when four letters picked without replacement from cjjjcj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x - 3. Let y(z) be the first derivative of z**4\/4 + 7*z**3\/3 - z**2 + 2*z + 3. Let p be y(-7). Solve x*u + p = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 196. What is the greatest common divisor of q and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -49. Suppose 2*k - 12 = -g*k. Suppose 5*x + 36 = 4*h, 0 = -h + 5*h - k*x - 24. Sort 3, h, -3 in ascending order.\nAnswer: -3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**3 + 0*h**3 - 4*h**3)*(2*h**2 + 0*h**2 + 0*h**2).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 78 = 5*u - 303, -307 = -4*u - m. Let a = -71 + 33. Let r = u + a. Calculate the greatest common divisor of r and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31365134.\nAnswer: 2, 15682567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*c - 4*i, 24*c + 21*c + 5*i - 143 = 32*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -25*d - 3. Is g(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u + 121. Let x be o(11). Suppose -3*w + 2 = -1, x = 2*q - 2*w - 4. Solve -18 = -5*h - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**2 + 18*f**2 + 15*f**2 - f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*2*(1\/10)\/((-1119)\/373).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 37*g**6\/6 - 110*g**3\/3 - 71. What is the third derivative of x(z) wrt z?\nAnswer: 2220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1012)\/42 + 1\/(-3). Let z = f - -24. Let t = 184 - 188. Put z, 0.1, t in increasing order.\nAnswer: t, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -94*r. Let i(q) = 18*q**2 + 5. Determine i(o(g)).\nAnswer: 159048*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**3*x**2 + 17*c*x**2 - 344*c*x - 464201*x**2 wrt c?\nAnswer: 12*c**2*x**2 + 17*x**2 - 344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20763.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/15 (b) 3\/7 (c) 1\/4 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 23. Determine z(25).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -8?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2 + 2*i + 1. Let o be u(0). Let f = 7 - o. 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 h(v) be the second derivative of -5\/3*v**7 + 23\/4*v**4 + 0*v**2 + 0*v**3 + 0*v**6 + 3 - 21*v + 0*v**5. What is the third derivative of h(t) wrt t?\nAnswer: -4200*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**7)\/p)\/p)\/(p\/(p\/p**(-7)))*p**(-1\/9)*p\/(p\/p**5)*(p**(-9)\/p**5)**(5\/6) assuming p is positive.\nAnswer: p**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 - 940*k**2 + 590948*k - 54129204 = 0. What is k?\nAnswer: -549, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 0*r = j + 7, -129*r - 33 = -124*r + 2*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 10:02 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i**(-2\/3)*i)**18\/((i*(i**(-2\/7)\/i)\/i*i)**(-2\/137)*i**2*i**(1\/2)) assuming i is positive.\nAnswer: i**(29721\/1918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 495500 rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, e: 3}. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*r + 4*r + 8 = 0, -c + 5*r + 24 = 0. Suppose 3*d - 4*f = -2*f + 32, 0 = -3*d - c*f + 62. Solve -5*x = 2*h + d, -x + 35 = -6*x + 5*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let v(x) = 7*x**2 + 3*x. Let g(m) = 3*k(m) + v(m). Let w(p) = -8*p + 42*p - 35*p. What is g(w(y))?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5500))\/((sqrt(99)*-1)\/sqrt(9)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -17. Suppose 2*f = 4*p - 86, 4*f + 70 = 3*p + t. Suppose 6*w = 5*w + p. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3006*g - 3078*g + 5767*g + 9510 = 0 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*f - 43, 2*m + f - 53 = -14. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 37. Let q be b(21). Solve -5*g = 2*f + 9, 0*g + 5*f = 5*g - q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6733 - -6735. Solve 446 - 436 = -x*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645.\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 5*q + 8*p, -3060*q + 3065*q + 44 = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1923\/760 + -9\/95. Calculate the common denominator of 314\/12 + (-2)\/3 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16249, -130003, -438755, -1040005, -2031253, -3509999, -5573743, -8319985?\nAnswer: -11846225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*b + 70*b = -11. Suppose -t - 3*l - 10 = 0, -3*t - 26 = 2*t + 3*l. Sort t, b, -3 in descending order.\nAnswer: b, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpppppwpppibpppsii. Give prob of sequence bi.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644.9674nm to millimeters.\nAnswer: 0.0006449674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 30\/77?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -1, 89 in descending order.\nAnswer: 89, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7487 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56) - sqrt(14))*4)\/(sqrt(7) - sqrt(84)\/sqrt(3)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/33*(-6)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*-2 - sqrt(21))\/sqrt(3) + 2*(sqrt(7) + -1*sqrt(7)) + 0.\nAnswer: -17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002806 rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (87\/(-9) + 3)*-6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let a(j) = -2867*j**2 - 110049. Give q(a(s)).\nAnswer: -5734*s**2 - 220098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 544 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v - 2*v + 2*v + 0*v + 1. Give t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 213, -0.1 in increasing order.\nAnswer: -3, -0.1, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 65. Suppose 11 = 5*s - 5*w - 4, -w - 3 = 0. Is t(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 1524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24820 and -121\/2137002?\nAnswer: 21370020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -8 - 16) + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -641872, -641873, -641874, -641875, -641876?\n\"Answer: -z - 641871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-5 + -7 + -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 6 - (-2 - -8 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j - 35. Suppose -3*z + 36 = -0. What is the remainder when z is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/6*(3381\/(-92))\/(-49)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(3)*-6)\/(5*sqrt(20)\/sqrt(10)))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20083260 and 12049956?\nAnswer: 60249780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 + 11*o**4 + 98*o**3 + 74*o**2 - 97*o - 85 = 0 for o.\nAnswer: -5, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 5*m**2 - 3765*m - 5. Let i(h) = h**3 - 2*h**2 + 1882*h + 2. What is -5*i(s) - 2*y(s)?\nAnswer: s**3 - 1880*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17369623 is divided by 5789866.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ard. Give prob of picking 1 d and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3044 = 4*a - 35*y + 31*y, 1515 = 2*a - 3*y. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/6*-2*2\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, j: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, n: 4, v: 2, m: 7, e: 1, u: 1}. What is prob of sequence vvu?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 - 4*y. Suppose 0 = -5*l + 403 - 628. Let c be 24\/156 + l\/39. Let j(r) = r. Determine c*g(x) - 4*j(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 89*h**2 + 841 - 841 to the form b + c*h**2 + i*h and give c.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119770, 239540, 359310, 479080, 598850, 718620?\n\"Answer: 119770*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48564904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/(-120))\/23 - (-13)\/78.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) -23 (c) 0.06 (d) 15 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + 0 + (17 + -23)\/(10\/5). Solve 9*f + 3*f = h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5, 0*r + r = 4*g - 18. Suppose -r*i + 336 = 3*c + 89, -5*i = 20. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/30 - 7*h**2 - 22. Let d(v) = v + 357. Determine d(r(t)).\nAnswer: 2*t**2 + 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -146*m - 1039. Let k be r(-7). Which is the nearest to -1\/4? (a) k (b) -5 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028749049 rounded to six decimal places?\nAnswer: -0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 184248 = 4*o. Suppose 10*p = 13*p - o. Is (p\/(-18))\/(6\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2 (c) -1\/2 (d) -1\/6 (e) 2 (f) -1671.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -109. Let l = -165 - -113. Is n greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - 0.1. Let u = -41.1 - -43.1. What is the smallest value in l, -0.3, u, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 279 = -2*n, -4*n + 2*l - 415 = -7*n. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3\/2, -102, -207822 in decreasing order.\nAnswer: 3\/2, -2\/5, -102, -207822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -44?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*s + 1477918 - 1473947 = 0 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2467a (base 13) to base 3.\nAnswer: -10101221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/140125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/9 + 10*-1. Let m(b) = 4*b + 24. Let r be m(w). Let j(k) = -k**3 + k**2 - 8. What is j(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 5 (c) 2\/17 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -43, 9, -2.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -679?\nAnswer: -679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 78. What is the closest to 0 in -1, 6, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t**2 - 5*t - 1. Let s(n) = 3*n**3 - 12*n**2 - 14*n - 1. Let u(l) = -11*m(l) + 4*s(l). Let p be u(4). Solve 0 = p*y + 1 - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/9 + 195284*u**3\/9 + 4766394194*u**2\/9 - 9534546016*u\/3 + 4767565952 = 0?\nAnswer: -48824, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 30\/67 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -513 + 6663\/13. Which is the closest to 1? (a) k (b) -1\/5 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 40. Determine n(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69032, 71995, 76932, 83843, 92728, 103587?\nAnswer: 116420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-20) + (-43206)\/(-2280) and (-2)\/38*2*-1.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/265*(760\/(-64))\/(-19)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:56 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -2 + 1 + 1. Solve -1 = s + q - 0, -2*s - 5*q - 5 = z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, -2\/9, 4, -0.6, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/20)\/((-1)\/(-10)). Solve 0 = -x - 2*x - 12, 0 = -4*a - q*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 4417836?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.316395 times 13.6?\nAnswer: -4.302972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3334*(-4 - 652\/(-168)). Let h = 397 + f. Which is the nearest to -2? (a) 1 (b) h (c) -1\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49481 is divided by 2573?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.8 + 34. Let o = y - -5. Let z be 6\/(-28)*8\/(-6). Which is the nearest to 1\/3? (a) z (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.03 + -10. Let b = -28.05 + 28.95. Let o = k - b. What is the second biggest value in 4\/5, o, 2\/21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let l(j) = -189*j**3 + j - 5*j**2 + 3*j**2 + 196*j**3. What is l(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10753*i + 1432*i - 3338*i = -8591*i + 1098594 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157366932*t**2 - 312842596*t?\nAnswer: -314733864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 2*j)*(j**2 + j**2 + 3*j**2 + j).\nAnswer: -10*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19350\/39600 + 4*(-3)\/33.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:55 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b2c28 - -2?\nAnswer: b2c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = m - 11. Let x = 77 + m. Let n(i) = i**3 - 7*i**2 + 4*i + 7. Give n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3351?\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 4. Let s(j) = -j**2 + 3. Let l(d) = -3*s(d) - 2*v(d). Let m be l(1). Suppose 4*q = -m*q + 652. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from hpdldtptdtthtdw.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-22)\/(-5841)*-3)\/2. Which is the smallest value? (a) -6\/7 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 27*a**2 + 49*a - 87. Determine x(-27).\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*p + 3 = 0, -5*i + 3*p = -10*i + 37. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8951 divided by 3296?\nAnswer: 8951\/3296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 143251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019525 rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 137*n**2 + 254*n - 216. Does 116 divide w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -336.1 - -335.6174. What is a rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/(f*f**(-1\/3)))\/f)\/f*f*f)\/(f**7\/f))\/(f**(-1))**(-23) assuming f is positive.\nAnswer: f**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -790*r**2 + 131*r?\nAnswer: -1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(0*l - 3*l + 0*l) - 167 - 3*l + 167.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*q - l - 6, 0 = 5*l + 10. Let y = 31 - 17. What is the remainder when y is divided by (10\/q)\/((-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*j**3*l**2 + 8*j**3*l - 3*j**3 - 2*j**2*l**3 - 27*j*l**2 + 188*l wrt l.\nAnswer: -138*j**3 - 12*j**2*l - 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 27*m - 22*m + 1 - 2. Suppose -3*i + 4*q - 162 = 0, i + 37 - 2 = -5*q. Let b = i - -44. Let a(f) = 4*f - 1. Calculate b*a(j) + 5*w(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 843.54 - 835. Let s = o - 8. Round s to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(9\/(-33)*4\/6). Let z(d) = -8 - 6*d - 3 + x. Let f(t) be the first derivative of 4*t**3\/3 - 1. Calculate f(z(v)).\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -4 (c) 32 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 5) to base 13.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*t + 5. Calculate the remainder when 30 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 19*v**2 - 9*v - 424. Let h be u(17). Is h <= 78\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7961087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g = 3*k + 3, 16 = 5*k - 2*g. Suppose 0 = -3*c - 5*h + k*h + 108, 28 = c + 3*h. Solve -2*x - 5*p + 33 = -2, 4*x + 4*p - c = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17819 by 5.\nAnswer: -17819\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15166 and 22.\nAnswer: 166826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*j**3 - 4*j**2 + 7*j**2 - j**2 + 0*j**2.\nAnswer: -50*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5427, -10570, -15711, -20844, -25963, -31062?\nAnswer: -36135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, l: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.1, 2\/5, -2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 less than 0.007492409?\nAnswer: 73.007492409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 + 9*z - 1. Let n be i(7). Let s = n - -2. Calculate the remainder when 44 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 10067*v**7\/42 - 4220*v**3\/3 + 10818*v. What is the second derivative of o(t) wrt t?\nAnswer: 201340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*15\/(-18)*12\/10. Suppose -k*q - x = -5*q + 15, -4*q + 3*x = -25. Let u(m) = -1 + q - 5*m + 15*m - 13*m. Give u(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1126*i**2 + 969 with respect to i.\nAnswer: -2252*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 - 2*o**4 + 14*o**3 - 8*o**2 - 13*o + 10 = 0 for o.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 52\/9. What is the biggest value in p, -0.9, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/18)\/(-2))\/((-19)\/(-57)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1728 + -1724. Solve 20 = 14*w - t*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Let v(a) be the third derivative of -5*a**4\/24 - 23*a**3\/6 - 44*a**2. Calculate the remainder when x is divided by v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -18*f + 234. What is v(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16324 + -51?\nAnswer: 16263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 + 19*a + 18. Let w = 54 + 70. Calculate the remainder when w is divided by l(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-42))**(-10)*t**1\/(t**(4\/25)\/t))**(-40\/9) assuming t is positive.\nAnswer: t**(-84368\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z - z + 0*z)*(-4*z - 2*z**2 + 4*z) - 2*z**3 + z**3 + 4*z**3 + 2*z + 445*z**3 - 441*z**3 + 2*z)*(2*z - z - 3*z).\nAnswer: -10*z**4 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6 = o, -o + 8*m + 15 = 4*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*t - 18, -4*t + 4*n = 7*n + 21. Let j(k) = k - 6. Let s be j(8). Suppose -4*c + 4*m = 20, 0 = -s*m + 1 + 1. Sort c, 5, t in ascending order.\nAnswer: c, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(2930\/(-102))*-3. Let a = m + -44731\/8790. Calculate the common denominator of 67\/4 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose w*l = 12, 0 = 4*i + l - 3*l - 4. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 41*c = -35*c + 39, 4*j - 3*c = -48 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8e6 + 3e?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m**2. Let b(z) = 3*z - 57. Let c be b(20). Let a(t) = -3*t - c*t - t + 0*t. Calculate h(a(y)).\nAnswer: 588*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10*q**3 + 17*q**2 - 21*q + 34. List the prime factors of z(7).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2666*w**4 - 864*w**3 + 864*w**3 + (-3*w**3 - w**3 + 3*w**3)*(-w + 4*w - 4*w) + 2*w**4 + 0*w + 0*w.\nAnswer: -2663*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-39)*30\/(-4). Let t = -1 + 1.1. Which is the closest to t? (a) 1\/4 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 = -3*f. Let y be (-9)\/(-2) - f\/6. Suppose 2*l - y = -2*l. What is the lowest common multiple of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 4, -9 in increasing order.\nAnswer: -9, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-42)*43\/(9675\/(-30)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30*4\/6*1. Let s(z) be the second derivative of -z**3\/6 + 5*z**2 + 5*z. Let n be s(6). What is the highest common divisor of n and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 33*j. Let q(y) = -43*y**2. What is s(q(l))?\nAnswer: -1419*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -442)*(1 + 26\/(-36)). Let b = f + -1747\/18. Find the common denominator of b and 95\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 154 = -4*n - 5*h, 3*n - 128 = -4*h. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118.038 + 2.262. What is k rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -17 - (-3)\/(-9)*(-261 - -171).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l**2 - 7*l + 15*l - 10*l wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3 + 111*g**2 + 390*g - 1200 = 0.\nAnswer: -5, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (-57 - (45 - 150)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15973, 31952, 47931, 63910?\nAnswer: 79889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -151, -219, -325, -463, -627, -811, -1009?\n\"Answer: s**3 - 25*s**2 - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4476 (base 12) to base 9.\nAnswer: 11350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 265\/24 greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 10*o + 6. Calculate f(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 2. Suppose -i + 5*l - 12 - 10 = 0, 0 = -5*i + 2*l - 18. Let f be r(i). Suppose 3*u - 2*u - 8 = f. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -43505?\nAnswer: 434c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*-4*(sqrt(605) + 1))**2*-6.\nAnswer: -523206 - 14256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, v: 2, z: 6}. What is prob of picking 2 z and 2 v?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57701551 to the nearest integer?\nAnswer: 7596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + b**2 + b + 1. Suppose 0 = -4*o + o - 3. Let s be l(o). Suppose -19 = -4*y - p - 0*p, 6 = 3*y - 2*p. Put -4, s, y in descending order.\nAnswer: y, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56646.86 - -56189. What is j rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449255489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeegg. What is prob of picking 1 e and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -4*g + 2, 0 = 3*j. Let k be 8\/(-6) + (-7)\/(-3) + 8. Suppose 30*i = -k*i - 78. Sort -1, -5, i, g.\nAnswer: -5, i, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:31 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmhm when four letters picked without replacement from mhmh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbbbbbwwbbb. Give prob of picking 4 b.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20210103021 (base 4) to base 12.\nAnswer: -903809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13 - 23*u**2 + 26 - 10 - 4. Give w(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 12. Suppose 0 = -29*t + 97 + 135. Suppose 4*x = 0, 3*g + t*x - 3*x - 18 = 0. What is the lowest common multiple of h(0) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -3*g, 0 = -0*g - g + 2*r. Suppose -4*d + 2*j = -40808, 3*d = -0*j - g*j + 30584. What is d rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400395 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6057, -12098, -18139, -24180, -30221, -36262?\nAnswer: -42303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/46, 56\/15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-163)\/7335)\/(-6*8\/(-144))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -200*x**3 + 325 + 209*x**3 - 332. Let n(w) = -9*w**3 + 8. Determine -6*l(v) - 5*n(v).\nAnswer: -9*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/12 - 4*j**2. Let l(u) = -109*u**2 + 38*u**2 + 37*u**2 + 36*u**2. What is l(b(m))?\nAnswer: 50*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:17 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2082 divided by -6\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 963\/(-54) + 795\/954\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6289 - 6291. Let l(c) = c**3 + c**2 - 2. Let r be l(0). Let p be (-27)\/63*d*r\/12. Put 1, 5, p in ascending order.\nAnswer: p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201343274 + 201343271.99999999. Let r = -2 - m. What is r rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -2) + -8 + 1. Let i be (36\/z)\/((-3)\/(-8)). Let d be -35 + 18 - (-2 - 1). Is d > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h + 2. Let m be f(1). Let n(z) = z + 8. Let u be n(m). Suppose 5*j - 5*c + 170 - 425 = u, 3*c = 4*j - 206. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**4 + 0*q + 0 + 0*q**3 + 1\/30*q**5 - 2*q**2. Let d(u) = 16*u**2. What is d(p(s))?\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w + 124. Let l be h(-11). What is the least common multiple of 38 and ((-5)\/(-3) - l\/(-75)) + 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5147\/2 - 7771\/3. Find the common denominator of a and 83\/4*((-14)\/5 - -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -870415*j**2 + 48*j - 1. Let z be v(7). What is z rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 8 (b) 7\/12 (c) -1\/3 (d) -35 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1, 458 in ascending order.\nAnswer: -1, -2\/9, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(152) - -2*sqrt(152)) + sqrt(152)) + (sqrt(152) - 4*1*sqrt(152)))\/(3*sqrt(512)*-1)*3.\nAnswer: 7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(567)*-3 + -5*sqrt(567) + sqrt(567) + -1)**2 - ((sqrt(567) - (sqrt(567) + 4)) + -2 + 5*(-2 + sqrt(567) + sqrt(567) - sqrt(567)))**2.\nAnswer: 1566*sqrt(7) + 13353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let z = m - -2. Solve 2*k - 2 = -z*h, 0*h + 5*h + 7 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13194028 is divided by 5110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -71 and 650264.9.\nAnswer: 650193.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 37 - 11 = -44*p. Let r be 3\/(2*2\/(-4)). Let f be (1\/r)\/(1\/(-6)). Solve -a = -1, -3*q - f*a = 3 - p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 41*d = -45*d + 60, -4*f - 5*d - 120 = 0. Put 1.5, -0.1, 0, f, -5 in descending order.\nAnswer: 1.5, 0, -0.1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 208770?\nAnswer: 7306950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 2 = -41 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q. What is the lowest common multiple of t(-4) and (76\/8 - 2)*(-24)\/(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - -2) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 7*x + 5. Suppose 5*s - 90 = -y - 4*y, -30 = -s + 3*y. Calculate the least common multiple of w(-4) and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8793*d - 217632 = 844*d + 562965 for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -4641.46.\nAnswer: -4641.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18046 - -18055. Suppose 0 = x - 79 - 37. Let b = -44 + x. Calculate the greatest common factor of b and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -624 (b) 1\/6 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224 - -366. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 299.6936 kilometers?\nAnswer: 299693.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2529683.929 rounded to the nearest 10000?\nAnswer: -2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221211110 - 201010220?\nAnswer: 20200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = 4*s, 20 = 5*s - 5. Let k be 50\/6 + u\/12. What is the units digit of (-1 + 2)*k\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -9. Is 17 a factor of (4\/d)\/((-10)\/255)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 + 4*y**2 + y**4 - 58 - 2*y**3 - 4*y**2 to the form k*y**2 + i + z*y**4 + v*y**3 + o*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 19. Suppose -j - 4*j - s + 46 = b, j - 3*s = 22. Suppose -p + j = 6. Solve -p*u + 5 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3882*v + 20663 - 16894 = 30902 + 31097 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*i + 618 - 408. Sort 0, -1, 29, 1, i in decreasing order.\nAnswer: 29, i, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 10, -2, -7222 in descending order.\nAnswer: 18, 10, -2, -7222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c - 2?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 1 = -5*m, -3*m - 2 = -2*w - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.016? (a) -2\/3 (b) 15 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/3, 0.3, 2, 17.1, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2 + 2*a - 1)*(a**2 - 2 + 2)*(-25 + 28*a + 25).\nAnswer: -28*a**4 - 84*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 12:14 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14*c + 2. Let q(z) = 946122*z. Determine q(d(b)).\nAnswer: -13245708*b + 1892244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 15 - 1\/(1\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 0.33. Let y = 87\/4 - 22. Which is the third smallest value? (a) u (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 13) to base 7\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.5. Suppose 12*m - 11*m = 5. Suppose 5*s = -5*q - 5, 5*s - 7*q = -3*q - 14. Which is the biggest value? (a) -1 (b) m (c) i (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.767298 decades in months?\nAnswer: 212.07576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-12))\/5*-6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 665, 688, 711, 734, 757, 780?\n\"Answer: 23*n + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 10*a + 9. Let w(u) = -u + 4. Let m be w(-2). Calculate d(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1735459209769?\nAnswer: -1735459209771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -341*z - 1. Let k(i) = 21*i - 1. Determine 2*h(t) - 4*k(t).\nAnswer: -766*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18872 by 14.\nAnswer: -1348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*-2195.\nAnswer: -118530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9168 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - p**4 + p - 5 - p**4 - 6*p**4 + p**3 - 20 to the form v*p**4 + j*p + n + c*p**2 + m*p**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618879322?\nAnswer: 2, 17, 18202333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159 a factor of 2049998514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/8)\/(132\/(-768)). Let j = n + -10. Which is the fourth biggest value? (a) j (b) -7 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6764394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1604862002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 220*t**5 - 864*t**4 - 64*t**3 + 3520*t**2 - 3264*t - 256 = 0.\nAnswer: -2, -4\/55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 397632304*c**5 - 184452942*c wrt c?\nAnswer: 7952646080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3350.46873898 and -1.\nAnswer: 3349.46873898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8965859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 + 254. Solve -3*t = 2*t - 5*y + k, -3*y = 5*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138158381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20694 divided by 5\nAnswer: 20694\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1009431537*i**3 + 2904996*i**2 - 8*i.\nAnswer: -6056589222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyi when three letters picked without replacement from iyyyyyiyiiy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - z)*(72*z + 118 - 238 + 118).\nAnswer: -72*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h - 3*h - 2)*(-3 + 0 + 5) + 3*h - h + 2*h + ((3 + 0 - 1)*(0 + 4 - 3) + 3 - 11 + 3)*(-21 + 21 + 32*h).\nAnswer: -96*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -784*t + 525*t - 1842*t + 78 - 78 + (2*t + 0*t - 4*t)*(-1 + 3 + 0).\nAnswer: -2105*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, n: 3}. What is prob of sequence nnqn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 3}. What is prob of sequence qqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:20 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 924383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1978, -1, -8 in ascending order.\nAnswer: -1978, -8, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2 = 5*l, 4*y + 5*l - 32 = 3*l. Let x(b) = -4*b + b + 7*b. List the prime factors of x(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160022143 is divided by 40005527.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2699 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 18 - 1) + (-16 - -80)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t + 83*t = 188907. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12681 = -283*z + 5148 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 351 = -9*v. Let g = 168 - v. Suppose -6*x + 52 = -2*x. Calculate the remainder when g is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1085000 or -1085002?\nAnswer: -1085000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/4 - 7*x**3\/3 - x**2\/2 - 5*x - 2. Let o be n(-7). Suppose 0 = -o*b - 0*b + 10. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 10.05. Are 1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107006925 and 1869?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 9 + 0)*(-5 + 2*h + 5)*(-3 - 4 + 4) + (-1 + 3 - 1)*(-2*h - h + 0*h) - 1 + 1 + 2*h + (-4 + 4 + 1)*(-1 - h + 1).\nAnswer: -176*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18976030 + 0?\nAnswer: 18976030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 975, 2195, 3903, 6099?\nAnswer: 8783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/35)\/((-18)\/21). Let f = -168 - -174. Sort f, 0, j, -1 in ascending order.\nAnswer: -1, j, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -621.87 rounded to the nearest ten?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.7303km to centimeters.\nAnswer: 35173030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 2*r**2 + r - 3. Let l be x(-3). Suppose -l = 2*n + 3. Let h(s) = -3*s. List the prime factors of h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -0.6.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10450, -41790, -94018, -167134, -261138?\n\"Answer: -10444*v**2 - 8*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -13. Let a(n) = -6 + 27*n**2 + 2 + 4*n + 23*n**2 + 34*n**2 - 83*n**2. Let y be a(j). Solve -2*c = -c - y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 219*p - 4894. Determine b(-51).\nAnswer: 3674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-310)\/(-9858))\/((-1990)\/2388)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 0) + 113 - (11 - 0)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/24 + 7*v**2. Let k = 17 - 15. Let s(x) = -10*x + 10*x + k*x**2. What is s(q(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**3 - 24445548*z + 35162577 wrt z.\nAnswer: -3*z**2 - 24445548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*z + 8 + 10, 4*z = i - 10. Let v be (z - 2)\/(36\/(-54)). Suppose 4*f - 5*x - 100 = 0, f + 0*f - 3*x = 32. Solve v*p - 2*p - f = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4090 and -1.\nAnswer: 4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(684) - sqrt(19)) + -5 + sqrt(19) - sqrt(19)) - sqrt(19))**2 + sqrt(76)*3.\nAnswer: -44*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -6.2. Let y = -3 - -6. Let l = 3 - y. Which is the second smallest value? (a) i (b) l (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*(l**(-2)\/l)\/l)*l**(6\/5)*(l**(6\/5)\/l)\/(l**1*l) assuming l is positive.\nAnswer: l**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 32. Let o be 3\/t + (-3)\/9. Let n be (o - -3)\/(3\/14). What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12185869?\nAnswer: 157, 77617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15.0979 (b) 4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 17*h + 50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 3*d + 12159 = 0, y - 2442 = 4*d. Suppose 5*c - y - 165 = 5*x, x = 4*c - 2076. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:53 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334732.\nAnswer: 2, 67, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 28*d**2 - 54*d. Let c(x) = -63*x**2 + 109*x. Give 3*c(v) + 7*p(v).\nAnswer: 7*v**2 - 51*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23.7, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5132 + -0.325\nAnswer: -0.8382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 338938099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 925 divide 43166136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, 5, -6.2, 4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19015248 and 679116?\nAnswer: 19015248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (96\/9)\/(1\/(-3)). Let s = 6 + -5. Calculate the least common multiple of 8 and (3\/(-6))\/(s\/a).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 652754993.5+0.7\nAnswer: 652754994.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 345343871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/9 and ((-4433)\/11253)\/(2\/(-6) + 2 + -2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 8, g: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/13, 0.05, 3\/5, 0, 1\/2115 in descending order.\nAnswer: 3\/5, 2\/13, 0.05, 1\/2115, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 7*u**2 - 8*u.\nAnswer: u*(u - 8)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/11 - 3550*p**4\/11 + 783192*p**3\/11 + 3175432*p**2\/11 + 3189664*p\/11 = 0.\nAnswer: -2, 0, 263, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012516 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 11:57 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101899 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10718396 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391568*d**2*i**3 - 2*d**2*i**2 + 236409*d + 177*i**3 - 357*i**2 wrt i?\nAnswer: 2349408*d**2 + 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 395245 or 395238?\nAnswer: 395245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {o: 2, p: 8, u: 3, r: 1, m: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4647?\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 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 m be 5\/(-2)*2 + 9. Suppose -5*k = 3*h - 20, 4*k = -m*h - k + 30. What is the remainder when 227 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182 - -177. Sort 5, f, 3, -2.\nAnswer: f, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4570*q + 684*q**2 - 4570*q + ((q - 2*q + 2*q)*(3 + 0 - 2) + 3 + q - 3)*(q - 2*q + 3*q).\nAnswer: 688*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208052700.\nAnswer: 2, 3, 5, 61, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 14*u + 118. Let p(s) = s**2 + 15*s - 4. Let c be p(-13). What is the hundreds digit of t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 - (-2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 166*s**2 - 11*s - 1834. Determine r(-166).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(14\/6)\/(-7)*(-648)\/90?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -661*k + 870*k - 1298*k in the form n*k + j and give n.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(133\/38).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(17\/51).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 42. Suppose -4*d + 50 = 2*j, -r - 15 = -j - 4*d. What is the greatest common divisor of 136 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2264 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juev when four letters picked without replacement from {e: 2, u: 2, v: 1, j: 1, n: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 29771.93212 to the nearest one hundred.\nAnswer: 29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -168a?\nAnswer: 16a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125530 and 229.\nAnswer: -28746370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 396 - -783. Suppose -o = r - 4*r. Suppose -s = -t + 4*s + 131, 5*s - r = -3*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*x**(1\/5)))\/((x\/x**4*x)\/x)*(x**(1\/3)\/x)**(17\/3))**(-1\/11) assuming x is positive.\nAnswer: x**(-46\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4110?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52714688 = -3*v - n, 4*n = -3*v + 5*n - 52714678. Let x = v + 9971561. What is x rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 2. Let o be z(3). Suppose o = 2*x - 9. Let 0*j - 2*j**4 - 2\/3*j**2 + 2*j**3 + 0 + 2\/3*j**x = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 4*c + 3*u, -4*c + 5*u + 13 = 0. Solve 3*g + 5*i + 9 = -0, 4 = -g - c*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-366)\/(-427) - 973\/1078\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, c: 1}. What is prob of picking 3 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:33 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1802*o + 3593*o + 457 - 1797*o to y*o + v and give v.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (2\/4*-37)\/((-7)\/28)?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 - p**4 + 32386*p**3 - 33210*p**3 - p in the form u*p + x*p**2 + r + a*p**4 + f*p**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20432.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93927254 - -2.\nAnswer: -93927252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 6. Let f(b) = 4*b - 1 - 10 - 1 + 1. What is -3*f(y) - 5*o(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.3593kg in grams?\nAnswer: 284359.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1277 + -1278. Let i(d) = -6 + 505*d - 1228*d - 818*d. Is i(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 - 276. Let g be 1\/4 - j\/(-24). Let n(d) = 3*d**2 + 2*d - 6. Is n(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 18*g - 13*g - 9224, -3*g - x = -5528. What is the remainder when g is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60262 times -35\nAnswer: 2109170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25509 is divided by 6886?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5*u - 3)*(-4 + 3 + 6) + 20*u - 1 - 7*u - 12*u to the form n*u + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 1. Suppose 2*p = -2*o - 2, -p + 6*p + 3*o = -5. Determine w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 4*t - 11*t + 5*t. Let n(k) = 3*k - 10. Let h(q) = -2*q + 6. Let w(r) = 10*h(r) + 6*n(r). Calculate l(w(o)).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/4))\/h**(-4\/9))**(19\/5) assuming h is positive.\nAnswer: h**(95\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99680 by 32.\nAnswer: -3115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = 4*a + 3*f - 46 + 4, 4*a - 41*f - 315 = 0 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -316 + 300. Which is the second smallest value? (a) -5 (b) 3\/2 (c) -3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -953, -9, -414?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n = 5*f + 31, -2*n - 5*f - 21 = 0. Suppose -5*a + 12 = n. Suppose -a*j + 405 = -377. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -56782*d**2 + 20692*d - 16 = 0.\nAnswer: 2\/2581, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-3 - (-7 - (-1 + 1))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 + 8*b - 7. Let k(v) = v**3 + 7*v**2 + v + 5. Let y be k(-8). Let i = y + 73. Determine o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1373 - b - 212 + 455. Let f be z(0). Is (14\/(-6))\/7 - f\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**2\/2 - 6*o + 5. Let y = 14 + -25. Let m be d(y). Solve -2*a + h - m = -0*h, -a - 2*h = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.894 + -0.106. Sort 0.05, -3, y in decreasing order.\nAnswer: 0.05, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 4, z: 3, f: 1, s: 1, d: 5}. What is prob of picking 1 s and 1 k?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.243.\nAnswer: -0.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 not equal to 911\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -398 - 1283*k**4 - 774 - 1046 - 197*k**4 - 718*k**4 wrt k.\nAnswer: -8792*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 22905?\nAnswer: 91620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22379116 rounded to the nearest 10000?\nAnswer: 22380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 1\/300*o**5 + 2\/15*o**3 + 1\/30*o**4 + 0*o + 3*o**2 + 0. Let k(v) = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 69489\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62033752 divided by -4?\nAnswer: -15508438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299 (base 11) to base 14.\nAnswer: 1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2041050.17 take away -11.48?\nAnswer: -2041038.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/21)\/(9\/(-63)). Solve 5 = q*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - -6. Suppose 0*c + 10 = 5*c. Suppose -c*t + m = -2*h, -t + 2*t + 3*h + 9 = 0. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -1\/4, 0.166, 0.4?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*8\/10. Suppose 0 = -6*c + c - l*n + 257, -5*c = -4*n - 251. What is the remainder when 151 is divided by c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m. Let c(y) be the first derivative of -y**4\/3 + 4*y - 6. Let s(d) be the first derivative of c(d). Give s(a(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, -5.\nAnswer: -5, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 10. Let g = p - 14. Suppose 4*k - 1 = i, -2*i = 3*i - 5*k + 20. Which is the closest to g? (a) 0.2 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n + 63*n = 295*n - 3399 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1083 in descending order.\nAnswer: 1083, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -77. Which is bigger: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 2*p + 4. Let g be h(-4). Let k = -2 + 5. Let f = k + g. Which is the third smallest value? (a) f (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 1329\/(-495) + 4\/(-22). Which is the third biggest value? (a) 9 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**2 + 3*p + 9. Let n be q(-4). Which is smaller: -129 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 8) in base 2?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135666690, 135666687, 135666682, 135666675, 135666666?\n\"Answer: -x**2 + 135666691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.357, -1, 2, 3 in increasing order.\nAnswer: -4, -1, -0.357, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -795, -333 in ascending order.\nAnswer: -795, -333, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -1.3. Let y = v + -0.6. Let g = -0.683 - 0.117. Which is the third biggest value? (a) -5 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -4*z + 4*g + 4, 0 = -3*z + 3*g + 24. Is (z\/12)\/(2\/2994) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l*q*u**3 - 5*l*q*u - 32*l + 5*q*u**2 + 2*q wrt u.\nAnswer: -9*l*q*u**2 - 5*l*q + 10*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4924\/1232 - 7 - -3. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -126 - (73 - -38)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, h: 6, p: 8, q: 2}. Give prob of picking 1 q, 2 e, and 1 h.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v - 5*v - 7*v)*(-377*v**2 + 44*v**2 - 256*v**2) to w*v + m*v**3 + n*v**2 + u and give m.\nAnswer: 10602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 727796 - 818770561\/1125. What is the common denominator of r and 107\/2625?\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13463644213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.78? (a) -4 (b) 0.09 (c) -0.05 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)\/((q\/(q*q**0))\/q))\/(q**3\/q)**(3\/29))**(-8\/5) assuming q is positive.\nAnswer: q**(-456\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2054 in -3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -1445, -4802, -11325, -22070, -38093, -60450?\nAnswer: -90197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 331 and 0.14159.\nAnswer: 46.86629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6*j = 11*j + 5, 3*a = 5*j + 10. Solve a*v = -0*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 2*s + 46 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147079?\nAnswer: 19, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 7640.\nAnswer: 53480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 67, 171, 367, 685, 1155, 1807?\n\"Answer: 5*b**3 + b**2 + 4*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*n + 2*n**2 + 3*n**3 + 98*n - 6 - 52*n + 2*n**4 to the form p*n**2 + c*n + f*n**3 + r + b*n**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnsq when four letters picked without replacement from svmrqns.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -459, -463, -469, -477, -487?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, x: 1, b: 2, a: 2, z: 3, n: 2}. What is prob of picking 3 m and 1 n?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -799 - -798.7. What is the smallest value in o, 70, 0, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309\/(-1957)*10\/(40\/4)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w\/(w**(-1\/2)\/w)))*w))\/w*w**(2\/11)*w)\/((w\/(w*w*(w\/(w\/(w\/(w**(-1)*w))))\/w*w))\/w*w)**(4\/5) assuming w is positive.\nAnswer: w**(-79\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 3:16 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (3 - 16 - (3 - 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let u(b) = -149*b. Determine u(x(p)).\nAnswer: -149*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 5*v. Suppose 2*u = 3*u - v. What is the units digit of (-1)\/(-3)*42\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -380?\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 11*o - 5. Let p be t(8). Which is smaller: p or -106?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -722 divided by -19.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4439293628 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 22231?\nAnswer: 22233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1153 + -1021. What is the highest common divisor of g and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Suppose -3*s - 5*n = -30, 0*s + s = -f*n. Solve -q + s = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (340340\/(-11440))\/(140\/8)?\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 9 + -6 + (-4 - -18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 3*z - 20*z**4 + 871 - 873 - 4*z to the form a*z**3 + q*z**4 + j*z + b + s*z**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -29*a + 24*a. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 + 8563 - 15*x**2 + 30*x**2 - 8563.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 + 118.57. Let o = -1.43 - k. Is o less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000939 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5073910 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 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: What is 473 minutes before 11:34 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5))**16*(q*q**7)\/((q*q\/(q**(2\/3)\/q))\/q))**26)**(-34) assuming q is positive.\nAnswer: q**(-173264\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 56*t - 2. Let m(a) = -113*a + 4. What is -13*g(i) - 6*m(i)?\nAnswer: -50*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*((sqrt(363) - (sqrt(363) + (3*sqrt(363)*-3)**2)) + 0) + 2.\nAnswer: 147016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -4. Let j = 0.6 + -0.6. Do j and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/7 - 58*m**3\/7 + 372*m**2\/7 + 432*m\/7 = 0 for m.\nAnswer: -1, 0, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13941 by 41.\nAnswer: -13941\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -510, -2181, -5008, -8997, -14154, -20485, -27996?\n\"Answer: -q**3 - 572*q**2 + 52*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5807 = -4*s + s, 0 = -3*r - 4*s + 8736. Suppose -138*x = -142*x + r. What are the prime factors of x?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*c + 5824 - 6762 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(-1\/9))*k)\/(k\/(k**0*k*k))*k**(-5)\/k*k*k**(-7)*(((k\/k**1)\/k)**23)**(-1\/34) assuming k is positive.\nAnswer: k**(-2513\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -55*q**3 - 19*q**2 - 114*q + 94. Let p(o) = 18*o**3 + 6*o**2 + 36*o - 31. What is 19*p(n) + 6*r(n)?\nAnswer: 12*n**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3052 less than or equal to -3053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/55 - 1697\/220. What is the biggest value in u, 2\/5, 2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10169933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 22, -2, -23, 0 in ascending order.\nAnswer: -23, -2, 0, 5, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1808259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-14)\/105 - (3 + 124\/(-30)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7632\/6*5\/15 - -3. Let n = 427 - u. Solve n = -7*w + 11*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194067 is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p = 57*p + 4. Let m(f) be the first derivative of -f**4\/4 - 3*f**2\/2 - 3*f - 12. What is m(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaa. What is prob of picking 1 j and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 286*x**2 + x + x - 287*x**2 - 3*x**3 in the form z + k*x**2 + b*x + i*x**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/404 and 79\/3636?\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2 - 1 + 4*t + 0 - 11. Let l be d(4). Factor 1\/3*q**l + 4\/3*q + 1.\nAnswer: (q + 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*s = -2*a + 16, 3*a - 5*s = 4. Suppose 0 = 5*q + 4*z - 52, 3*q - q = -a*z + 18. Calculate the smallest common multiple of q and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l - 25. What is the least common multiple of k(-8) and 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 4. Solve -2*k + k = -l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x + 2. Let o be t(2). Let z = o - -51. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60915*x = 60872*x + 344 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = 13 - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010100 - 0?\nAnswer: 100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 31, 70, 123, 190, 271, 366?\n\"Answer: 7*o**2 + 4*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqqycsqq. Give prob of picking 1 y and 1 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60\/7, -1.01, 1\/4, 1?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9411477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1\/(-2)*14. What is the common denominator of (278\/(-10))\/(24\/(-20)) and ((-2)\/v)\/(80\/(-224))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/10440480 and 103\/384.\nAnswer: 41761920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + 0 + (sqrt(3) - (1 + sqrt(3) - sqrt(3)))*-5)**2.\nAnswer: -32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*l - s - 286, 4*s - 311 = -3*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:07 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 20*k**2. Let t(d) = 4*d**2. Let u be 158\/(-14) + 10\/35. Let w(a) = u*t(a) + 2*x(a). Let p(r) = -4*r. Calculate p(w(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s**2 + 3*s + 2. Let i be u(-6). Let j be (2\/1 + -405)\/(-1) - 2. Let o = i - j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24865 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f + 54*f = -6. Let x be (14 + -19)\/((-10)\/f). Let i = -3 - 0. Sort -4, x, i, 5 in increasing order.\nAnswer: -4, i, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 = 4. Let t be (4\/19 - r)*(-6)\/9. Let k = 38 - 38. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2515088 by -4.\nAnswer: -628772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z + 46. Suppose -27 = -5*q - 3*p, -q = -5*q - p + 16. Does 8 divide k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:29 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1516, 3002, 4462, 5884, 7256, 8566, 9802, 10952?\n\"Answer: -2*u**3 - u**2 + 1503*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:18 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.514995198 + -5.515. What is s rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 5*h**2 - 5*h - 2. Let w = -266 + 270. What is x(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 24*j + 48.\nAnswer: 3*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-30)\/35) + 4. Let l = 4.1 - 6. Let h = l - -2. What is the closest to w in h, -1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -3*z**5\/20 + 2*z**3 + 5*z**2 - 9. Let g(s) be the second derivative of i(s). Find the first derivative of g(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-7)\/20)*20\/(-50)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**3 - 16*f**2 + f. Let o(p) = -p**3 - p**2 + p. Calculate -b(q) + 2*o(q).\nAnswer: -6*q**3 + 14*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 942, 937, 932?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1.8, -0.03, -1, 1.1, 0.3, -0.114?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -16, -8, 114, 2, 28 in increasing order.\nAnswer: -16, -8, -2\/11, 2, 28, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {x: 1, r: 7, u: 5, l: 3}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250 - 1149*v**2 + 1250.\nAnswer: -1149*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*r + 74*r + 35*r + 1104 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*y - 3243965 + 3*y**2 + 2*y**2 + 3243960 + (-y**2 + 4*y - 4*y)*(1 + 0 - 3) + (4*y + 3*y - 6*y)*(0 + 0 - 2*y) - 2*y**2 - y**2 + 2*y**2.\nAnswer: 4*y**2 + 60*y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -11 + 1. Let v be -4*1*17\/(-34). Suppose 0 = v*b - 4*w - 14, -10 = -2*b + 5*w + 6. Sort b, 1, z in decreasing order.\nAnswer: z, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7019*o - 8*o**2 + 22 + 7019*o.\nAnswer: -8*o**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 3. Let t(o) = -o**2 - 7*o + 13. Let y be t(v). Let q(i) = 2*i**2 + 6*i + 5. What are the prime factors of q(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -4 - -6) + (7 + -6 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 222\/24 + 2 + (-27)\/12. Suppose s*f = 13*f - 32. Suppose 3*a - 35 = 8*t - 3*t, 0 = -a + 3*t + 17. Solve -f - 7 = a*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = 3. Let g be t - (-15 + 0 + 1). Let i = g - -6. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.197 + -0.16.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2142)\/(-35) + (-24)\/(-30). Suppose 0 = 23*i - o + 16. Solve -m + 10 = -0*l - 2*l, -6 = m + i*l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 23.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4000 = 2*m - 6*m. Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 3*d**7\/35 + 11*d**4\/24 + d**3\/2 - 22*d**2 - 4*d. Find the second derivative of z(l) wrt l.\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.5. Let r = 6 - 4. What is the smallest value in -1, r, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90 + 62 - 58)*(-14 - 29 + 21)*(2 + 2*m - 2) - 1 + m + 1 to the form o + s*m and give s.\nAnswer: -4135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*o + 3 = 0, -u - 2*u - 2*o + 19 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Suppose -2*t + m*t + 40 = 0. Let y be 78\/30 - 4\/t. Solve -v + y*v = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - 2*k**3 - 2*k**3 - 55*k**3 + 9*k**3 - 24*k**3 + (-3*k**2 + 0*k**2 + 2*k**2)*(0*k + 2*k + 0*k).\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(((-1)\/(-5))\/((-10)\/2275)))\/((-146)\/511)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2120033 (base 4) to base 14\nAnswer: 379d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 18*d + 16 + d**3 - 11*d - 8*d - 9*d + 10*d**2. Let c be l(-11). Suppose -c*o + 142 = -8. Solve 3*i = -5*u + o, 5*i - 4 - 21 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 52*t**3 - 20*t**3 - 57*t**3 + 39*t**3 + 2*t**2.\nAnswer: -90*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:35 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**8\/53760 + 5*y**7\/2688 + y**6\/80 + y**5\/5 + y**3\/3 - y**2 - 53*y. Let a(s) be the third derivative of g(s). Factor a(f).\nAnswer: 3*(f + 1)*(f + 24)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6371*r + 63678. Calculate f(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -644, 4, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnhwqhnv. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3571092 to the power of 1\/2, to the nearest integer?\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 222881 + 129*f**2 + 222881 to the form t*f + p + n*f**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/6001226 and -43\/77?\nAnswer: 6001226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 - 13*s. Let l be n(-1). Solve 0 = 3*o + 8*z - 12*z + 5, -l = 4*o - 3*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (3 + -3)\/3. Suppose -2*h + 5 = d - h, g = -2*d + h. What is the least common multiple of 16\/12 + 2828\/84 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607540721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*p + 0 = 6, 15 = 3*p. Suppose b - 6*b - 5*f - 55 = 0, h*f - 8 = 0. Calculate the remainder when 22 is divided by 2\/(-5) - 126\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -187569, -187579, -187589, -187599, -187609?\n\"Answer: -10*r - 187559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from yshsyyss?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rud when three letters picked without replacement from {u: 3, k: 5, r: 4, d: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -166. Suppose -t + 23 - 21 = l, m + 3*t = 66. What is the greatest common divisor of 40 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - ((-4)\/(-18) - 145\/45). Suppose -5*b + 4*q + 17 = o, 4*b + 0*q + q - 1 = 0. Solve -4*t = -3*v - 7, 3*v - b = 2*t - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + (138\/(-15))\/(-1). Which is the biggest value? (a) 5 (b) 1.2 (c) -0.11 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {u: 1, t: 1, y: 5, c: 2}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 205 = -4*c - 169. Let o(d) be the first derivative of 0*d**2 - 10 + 0*d**3 + 0*d + 1\/2*d**c. Factor o(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - c = 149 + 1527, c + 1118 = 2*a. Calculate the greatest common divisor of 62 and a.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 3 (c) 4 (d) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 2*w**2 + 1. Let g be x(-2). Let v = g - -1. Let -1 - 16*s + 10*s - 4*s**2 - v*s - 15 = 0. What is s?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10008060 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-13 - 0) + 4. Let b = 10 + s. Let p be ((-2)\/(b\/(-45)))\/(6\/16). Solve -5 = -p*u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 11. Let n be q(6). Let p(x) = x**2 - 6*x - 7. Let k be p(n). Solve k = 2*g + 3*b - 25, -b = -g - 0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (8 + 8 - (5 - 3 - -4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 3, 2\/3, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 - 2*f**2)*(f - 4*f + 0*f) + (-2*f**2 + f**2 + 0*f**2)*(3 + 3 - 4)*(f - 3*f + f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n - 6. Give y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*a - 40, -103046*x + 4*a = -103050*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 2:07 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*u - 3*j + 58, 0 = 3*u - 2*j - 61. Suppose 0 = -3*w + 2*g + 5 + 26, -4*w - g = -u. Calculate the greatest common factor of w and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u**3\/11 + 375*u**2\/11 + 6784*u\/11 - 60 = 0. Calculate u.\nAnswer: -10, 3\/31, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) + sqrt(76)*-1 + sqrt(76)))\/(sqrt(144) + (sqrt(144)*2 - sqrt(144))).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(4*j - 4*j - 2*j) - 114 + 23 + j - 15.\nAnswer: -5*j - 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.8466 rounded to one dp?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6233 divided by -23\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 5:38 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -64. Calculate the highest common factor of 52 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148535 is divided by 13501?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 332 and 44?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(((-50)\/(-116))\/(-1) - (-336)\/(-4872)). Find v such that -26\/21 + 2\/21*v**r - 8\/7*v = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/10 - -2)*(-189955)\/13562787?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (0 + -5) - (-41 + -5). Solve -z*v + 50*v = 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 22298*z + 3.\nAnswer: -22298*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(192) + sqrt(192) + (sqrt(192) + -2 + 3 - sqrt(192))**2.\nAnswer: 3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1849, -12\/1289, -3, 1\/7, 0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 225466 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:19 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Suppose 1 = 4*h + r*f + 5, -5*f = 20. Differentiate -2 + h + 3*a**3 - 6 wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970490124.\nAnswer: 2, 492622531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 2, y: 1, l: 3, j: 2, r: 6}. Give prob of sequence jye.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1037503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 336. Let i(t) = t - 86. What is -18*i(z) + 4*r(z)?\nAnswer: -2*z + 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4331125 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-21)*o*o*o*o**(-20\/9))**(15\/8) assuming o is positive.\nAnswer: o**(1025\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/6)*s)\/(s**(3\/5)*s)*s**(-1)*s\/s**7)**(-1\/42) assuming s is positive.\nAnswer: s**(29\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - 12 = 0. Find the third derivative of 4*d**2 - k*d**5 - d**5 + 6*d**5 - d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 4:12 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*u + 1 = -4, -5*u + 9 = -4*t. Let v(z) = 2*z**3 - z**2 - 2*z - 1. Let l be v(t). What is the least common multiple of 8 and (-4 - -5)\/l*-16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11236 divided by -11236.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150 - -157. Suppose 858 = b*c + 228. What is the highest common factor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dllpppplii. Give prob of sequence pp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 121 - 264 - 437)*(3*c**2 + 2*c**2 - c - 3*c**2).\nAnswer: -958*c**2 + 479*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3495\/2796)\/(1*1\/12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510 - -537) + (4 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -1 - -1 - 8311. Let y = o - -182901\/22. What is the common denominator of 73\/42 and y?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761000378.\nAnswer: 2, 239, 1592051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-413)\/9 + (-280)\/2520.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 24 = -j + 2*j, 2*o = 3*j + 13. Solve 0 = -o*p + 3 + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-76)*8\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/10)*d**(-2\/3)*d*d*d\/(d**3*d)*d**0*(d\/d**(-2\/3)*d)**(-20)*(d**(1\/4))**(14\/11) assuming d is positive.\nAnswer: d**(-3002\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -93067.\nAnswer: -69\/93067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) -0.9 (c) 55 (d) -0.4 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16 - 250\/(-20)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 623794?\nAnswer: -3\/623794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220180?\nAnswer: 2, 5, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -87990.14 to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 3.6. Which is the third smallest value? (a) -12 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -120, -159, -206, -255, -300, -335, -354?\n\"Answer: d**3 - 10*d**2 - 16*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47079168 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: Calculate the highest common divisor of 24 and 4846665.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*y = -38, 2*y = 289*d - 293*d - 32 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 484?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -210740.7 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 0)*(-1 - -42 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -5 in increasing order.\nAnswer: -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16695383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -383, -5, 3\/2, 2 in increasing order.\nAnswer: -383, -5, -0.4, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 6. Suppose 0 = 10*f - 145 - 25. Let d(b) = 3*b + 17. Let p(v) = f*y(v) - 6*d(v). Let a(s) = -s. Calculate a(p(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2101\/12 + 175. Sort 5, z, 0.4, -3\/11.\nAnswer: -3\/11, z, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16440 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-6120)\/(-165) - 37).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 5, 4, -0.02 in increasing order.\nAnswer: -3\/7, -0.02, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1827*b - 121 = 1838*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 9:08 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**21)**(-1\/29)*(w\/((w**(-29)*w)\/w)*w)\/w**(-2\/61) assuming w is positive.\nAnswer: w**(53616\/1769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.32491ug to nanograms.\nAnswer: 20324.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.151 + -0.121. Let u be (-6)\/46*2\/(-3). What is the closest to 1 in u, s, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1*(sqrt(171) - sqrt(19)) - (sqrt(209) - 1*sqrt(209))\/sqrt(11))*4)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 + 1624*v**3 + 80864*v**2 - 357976*v - 437220 = 0. What is v?\nAnswer: -347, -63, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 698, 2656, 5820, 10130, 15526, 21948?\nAnswer: 29336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 14*w**2 + 13*w + 7. Is i(13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5734010767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -244340?\nAnswer: 244334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 5*o**3 - 4*o**3 + (o**2 + 5*o**2 - 5*o**2)*(0*o + 2*o + 0*o) - o**3 + 0*o + 0*o)*(12*o**2 + 0*o + 0*o).\nAnswer: 36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (36 - 44) + -4 + -2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - 40*b**2 - 2*b - 6. Let d(i) = -i**3 - i - 2. What is 2*d(g) - s(g)?\nAnswer: 2*g**3 + 40*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*d**2 - 11*d**2 + 41*d**2)*(-d + 5*d - 2*d) + (-5*d**3 + 6*d**3 - 3*d**3)*(3 + 4 - 1)*(2 - 4 + 0).\nAnswer: 136*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 27607701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.6829 years in decades?\nAnswer: 53.56829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181464*o**4 - 26347 wrt o?\nAnswer: -725856*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 38*f - 48)*(23*f**3 - 39*f**3 - 40*f**3) + (-10*f**3 + f**4 + 10*f**3)*(-3 + 1 + 4).\nAnswer: -2126*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -44*s - 497. Determine m(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0\/4)*4\/(-1). Suppose 3*c = d*r + 12 + 2, 0 = 2*c - 2*r - 8. Solve -w - c = -0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1212)\/(-20))\/((-5)\/(-25)). Suppose 0 = -7*r + o - 16. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 113. Suppose -4*y = -o + 20. Which is the nearest to 2? (a) y (b) -1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3))\/(1\/(-3)). Let n = -3 - u. Let s be ((-6)\/365)\/((-1396)\/3490). Is s less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5. Let o = 741 - 639. Let k be (231\/(-90))\/11 - 17\/o. What is the nearest to k in f, 9\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = 2*h - 18, 24 = 4*f + 4*h. Let o(l) = 2*l**2 + 4*l + 2. Let q be o(-3). Let m = q - f. Let x(z) = -z**3 + 3*z**2 - 3*z + 1. Calculate x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19338 divided by -3223\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*f = -121*f + 120. Calculate the remainder when f + (-40)\/(-8) + 19 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 4:56 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11980495157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 25*p - 73. Let u be a(22). Let k(r) = 9*r**2 + 7*r + 10. Let i(d) = -5*d**2 - 3*d - 4. Let b(y) = u*i(y) - 4*k(y). Calculate b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1195 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137207446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 - 14*u - 50. Give k(-7).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, r: 2, e: 4}. Give prob of picking 2 e and 1 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9\/b**(4\/3))\/(b\/b**5*(b**(3\/7)*b)\/b*b)*(((b**(-2\/13)\/b)\/b)\/b**(-1\/15))**(10\/9) assuming b is positive.\nAnswer: b**(19457\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52901439, -105802879, -158704323, -211605771, -264507223, -317408679?\n\"Answer: -2*u**2 - 52901434*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 5:08 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppypppjpjpjjy. Give prob of picking 2 p and 1 j.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + 1 + sqrt(80) + 1 + 2)**2.\nAnswer: 8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llgdllgaaugla. What is prob of sequence dg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 3356794.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((4\/1)\/((-2)\/2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30468)\/30*(-1 - 2559) + (5 - 1). Round w to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(-3 + 0 + 4)*(0 - 1 - 1)*(2*q - 4*q + 0*q)*(-39 + 39 + 5*q).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**3\/3 - 21*o. Let y(x) = x**3 - x**2 + 4. Let u be y(0). What is b(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (1 - 0) + 11. Calculate the remainder when g\/42 - 96\/(-7) is divided by ((-24)\/(-14))\/(14\/49).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9950996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus 0.13463954?\nAnswer: 11.86536046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 73*j**2 + 24*j - 619. Is l(54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 1352*a - 1354*a - 37*a**2 + (2 - 2*a - 2)*(a + 6 - 6).\nAnswer: -38*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/35*(-20)\/(-32). Let n = -55.1 - -55. Let p = 0.1 - 0.3. Which is the closest to -0.2? (a) n (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 185*y - 190*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/((-108)\/12))\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let b = g - -8. Suppose -5*n = -0*n - b. Solve -n*o + 1 = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*b - 111*b + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 0*t**2 + 1 - 1\/4*t**3 + 9*t - 1\/16*t**4. Let s(u) be the first derivative of b(u). Factor s(o).\nAnswer: -3*o*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33778623 to the power of 1\/2, to the nearest integer?\nAnswer: 5812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 + 654*k - 276. Let c be y(93). Solve 12*v = c*v - 72 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*k - 1575 - 1573 + 3148.\nAnswer: 337*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 - 6?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 5)*(11 + -12). Let t(j) = -2*j**3 + 14*j**2 + j + 7. Calculate the remainder when t(6) is divided by ((-11)\/((-66)\/(-4)))\/(r\/(-174)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*h + 3, 13*l - 2*h - 12 = 15*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-100)\/30*((-5)\/4 + 2). Let v = 9\/4 + k. Let y = 106 - 532\/5. Put v, y, 1\/7 in descending order.\nAnswer: 1\/7, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166757091 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 115344006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -12*n + 2. Determine p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 58*y**2 + 4*y. Let o(j) = j**2 - j. Determine 3*o(m) + x(m).\nAnswer: m**3 - 55*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2257*r + 3798*r - 18 - 1552*r + 1257*r.\nAnswer: 5760*r - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 183435.9 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-158)\/(-12) - -1 - 4268\/(-1067) and (-44)\/18*15\/(-26).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o**2 + 6*o - 6. Let f be ((-4)\/(-5))\/(4\/(-10)). Let t be 4 + (8\/(-2) - f). Let l(j) = -2*j**2 - j + 1. Give t*i(u) + 11*l(u).\nAnswer: -2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -3*n + 66. Let t = n - 100. Calculate the remainder when 78 is divided by t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 4*f + 15*f - 1186*f**2 - 8*f.\nAnswer: -1186*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvwwvvvwwvvwwwwwvvv. What is prob of sequence wwvv?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2)*-5)\/(-1). Let v(b) = b**3 + 6*b**2 + 8*b + 2. Suppose 0 = -5*x + 14 - 34. Let k be v(x). Solve 4*w + 13 = f*r, -k*r - w = -5*w - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1053 and 5 + 138\/(-27) - (-2040)\/270.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 1234085*f - 14808300.\nAnswer: -5*(f - 246805)*(f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 298 - 4 = 0. Let m = -276 + i. Calculate the smallest common multiple of m and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116600097 - -5707.\nAnswer: -116594390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -552, -856, -1282?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -5\/18*m**3 + 0 - 24*m + 0*m**2 + 5\/36*m**4. Solve f(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1548862 and 52\/995697?\nAnswer: 13939758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 = -r + 2*d, 3*r + 16 = -5*d. Let t be (3 + -21)\/(-3) - r. Suppose -3 + 3 + 3*q + t*q**2 + 0*q = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4781715 or -4781714?\nAnswer: -4781714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 143 + -6 + 6 + -3. Suppose 300 = 11*x - i. What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {l: 2, h: 4, o: 3, k: 6, g: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*o**2 - 1 + (2*o**2 + 0*o + 0*o)*(0 - 1 + 2) - 4 + 3*o**2 + 4 + (2 - 2*o**2 - 2)*(-2 + 3 - 2) + o**2 - 3 + 3.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149.962 + -0.038. Which is smaller: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -7) + -2 + -10. Let h(i) = -6*i + 2. Let c be h(n). Suppose 3*o = 5*o - c. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -133127?\nAnswer: -133122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007882 to 7 decimal places.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 526 in -2, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41a - -352?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.264 in 0.24, -4, 36, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*y + 10983 = -338*y + 4*w, -3*y + 5*w = -32966. Is 10989 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 134\/6 + (-16)\/12. Solve -20 = 13*g + f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -2\/11, -5, 5, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196 or -12627?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + (-10 - -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/((-15)\/5) + 107. What is the greatest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 0. Suppose -2*c - 3*l - 4 = d, 6*c - 4*c - 2*l = 16. Solve c = -2*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 3. Let t = 0 - 3. Let q be t + 6\/9*12. Let c be z(q). Solve -3*p + 2*i - 20 = 0, 2*p = -4*i + 5*i - c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 25 - 30. Let f = 2 + 0. Suppose -b = f - 1. Is b bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 26. Which is the third biggest value? (a) -1\/3 (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6661 by 5037.\nAnswer: -6661\/5037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 + 6 = 0. Let i = 0.09 + 0.01. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:49 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-25)\/(25\/(-6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*z + 30 = 0, 4*z - 7*z = 771*s + z + 3875 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**8))**4)**(-19\/2))**(-50) assuming q is positive.\nAnswer: q**15200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*x - 46*x - 3012 - 585 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 28*u**2 + 46*u + 181. Give p(-29).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffzfffffzffzf. What is prob of sequence zfz?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5945979 or 5945976?\nAnswer: 5945979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22063?\nAnswer: 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 42*c - 96 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 547481 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:18 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46 - -12180?\nAnswer: 121c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121110120 (base 3) to base 4.\nAnswer: 2323203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 6*z**2 + 2*z - 6. What is h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1*(-10)\/2 - -602) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**4*k))**43\/(k\/(k\/k**(-8)*k)*(k**19*k)\/k))**(1\/5) assuming k is positive.\nAnswer: k**(-182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -5 - 6) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3126121989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*m + 23*m**2 + 16*m**2 + 25*m**2 + 9*m**2 - 36*m**2 to r*m**2 + h*m + z and give h.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from sssssvsvsvsvv.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 14 = 5*j, -53*l = -2*j - 249 - 122 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**5 - g**5 + 0*g**5)*(-2 - 3 + 3)*(2 - 3 + 2).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 878908334 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/108 and -47\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123.999783 - -124. What is l rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5834 + -1941. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.029 and -0.09.\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3)*(1561 - (-8)\/(-4)). What are the prime factors of (-36)\/(-90) + -4*l\/(-10)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.2, -23.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 17*z = -2087 + 2136 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x - 73. Let d = 167 - 182. Let i be g(d). Let u(w) = 21*w + 1. Let f be u(1). What is the greatest common divisor of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 - (8 + 0 - 35). Let k be 710 - 5*2\/w*-5. What is the units digit of (0 - k\/(-10))*20\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3 - 26 - 11*l.\nAnswer: -11*l - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose 2*u - 5*u + 18 = v. Let l(g) = -g**2 + 5*g + 8. Calculate l(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.674238mm to centimeters.\nAnswer: 0.2674238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 8*f**2 + 5 - f**2 - 9*f. Let a(z) = -z**2 - 6 + 4 + 3 - z. Give -5*a(c) + i(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/(sqrt(7)*-1) + sqrt(63) + -1*sqrt(252))\/(sqrt(99)\/(-1*sqrt(11)) - -2*sqrt(81)))**2.\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 6*a - 3*a)*(-28*a**3 - 88*a**2 + 88*a**2) as d*a**2 + y + k*a + l*a**4 + q*a**3 and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1009 - 2 - 113 + 1944)*(-3*v**5 - 2*v**5 + 7*v**5).\nAnswer: 5676*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:24 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-1\/17)*(l\/(l\/(l*((l\/((l**1*l)\/l))\/l)\/l)))\/l*l*l\/((l**(-2\/9)*l)\/l)*l)**(3\/10) assuming l is positive.\nAnswer: l**(89\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13062080 (base 9) to base 12.\nAnswer: -2196290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 48 = -3*o, -3*b - b + 3*o = -96. What is the greatest common factor of 216 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 9*u - 7. Let p be n(-10). Let a be -2 - 2\/(-2)*p. Let s be -1 + a - 148000*-50. What is s rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1613048 divided by -9896?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202107.\nAnswer: 3, 67369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 13 + 8 = 0. Suppose 7*t + 1640 = 2*t - 4*h, 4*t - y*h = -1343. Round t to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**3 - 60*w**3 + 32*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/5*3\/(-6)*-9. Suppose 2*k = -3*g + q + 1396, -2*g + 2*k + 980 = 0. Suppose -2*d = -136 - g. Round d to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(1*(-4)\/75*(-48 - -82 - 33))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 8*d**2 - 8*d - 2. Let j = -27 - -15. Let v = -19 - j. What is the units digit of m(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -326, -97, 132, 361?\n\"Answer: 229*j - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2 - 6. Suppose 0 = c*h - b - 13, -4*b - b - 17 = 4*h. Let g(r) = 2*r**2 - 66*r - 72*r - 71*r + 1 + 281*r - 70*r. Give g(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 10*o - 12. Let y be q(10). Let f = y + -47. What are the prime factors of f?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12)\/(v**5*v)*(v**(-5)\/v*v)**22 assuming v is positive.\nAnswer: v**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*i + 16, 0 = -2*n - 7*i + 2*i + 20. Suppose 3*m - 24 = y - 85, n = -4*y - 20. Let x(a) = a**2 + 19*a + 42. List the prime factors of x(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r - 4. Let w = r + 1. Find the third derivative of w*s**6 - s**2 + s**2 - 2*s**2 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 4*h**4 - 120*h**3 + 177*h**2\/2 - 22*h - 28. Let k(y) = 0. What is y?\nAnswer: 1\/4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 - -1424\/7. Let t = -0.285 + 0.385. Let f = -1.5 + 13.5. Which is the second biggest value? (a) f (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6453*k - 10341*k - 13915*k = -209552 + 1153111 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p + 28. Let i = 40\/379 + 37559\/6822. Find the common denominator of (-47)\/3 - (p - 2) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 13. Let p be z(16). Let f be (-10)\/p*((-66)\/15 - -2). Let s = -39 + 63. What is the highest common factor of f and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 4, b: 1, l: 6}. What is prob of sequence ill?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*l = 25, 0*y = 2*y + 4*l - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-8)*q)\/(q*q\/q**(-1\/11))*q**(5\/8)\/q*q**(-25) assuming q is positive.\nAnswer: q**(-2945\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 + 119*o + 1073. What is u(47)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21029.11945 to 0 dps.\nAnswer: 21029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 2, p: 1, b: 4}. Give prob of picking 1 b and 1 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.46 + -37. Let f = 1.14 + g. Round f to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 851*n - 37. Let q(p) = 71*p - 3. Let j(m) = -37*q(m) + 3*u(m). Let c be j(-1). Let w = c - 521\/7. Is 0 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + (7 - 1). Let u(b) = b**3 - 6*b**2 + 2*b - 3. What are the prime factors of u(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.6, 117, 2, 0.3, -5 in ascending order.\nAnswer: -5, -1, 0.3, 0.6, 2, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/90 - 1 - 8255808\/285120?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 108792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, f: 3, n: 2, p: 3}. Give prob of sequence pp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 - 342 - 3*w + 1027 - 346.\nAnswer: -3*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -30. Suppose k - 85 = -g*c, k + 5*c + 298 = 5*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 35*y + 1926. Give q(-52).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008215 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 11*z**2 + 32*z + 413. Give p(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-36))\/(-1) - (-9622)\/(-84). Let d = f - -115. Let l = -4031\/17 - -237. What is the nearest to d in -1, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -20, -1\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 - 17448*x\/7 - 9424620\/7.\nAnswer: -(x + 558)*(x + 16890)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2676, 2668, 2648, 2610, 2548?\n\"Answer: -o**3 - o + 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*(l**5\/l)\/l)\/(l**4\/l**(-6)))\/((((l**(-3\/5)\/l)\/l)\/l**(-6))\/(((((l*l**(-4\/9))\/l)\/l)\/l)\/(l**1\/l))) assuming l is positive.\nAnswer: l**(-623\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 500.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/12 - q. Let j(n) = 21 - 21 + 2*n. What is j(d(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, 2\/5, 6, 2\/157 in ascending order.\nAnswer: -5, -4, 2\/157, 2\/5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttbbbbtbttbbbbbbb. Give prob of sequence tt.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 10:58 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1259626570 to the nearest one hundred thousand.\nAnswer: -1259600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s + 50 = 0. Let c(d) = d**2 + 1. Let l(v) = v**2 + v + 1. Let k be l(-2). What is the lowest common multiple of c(k) and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*p**2 + 5*m**2*p - 2*m**2*t**2 - 76*m*p**2*t**2 - 2*m*p*t - m*t**2 - 2*p**2 wrt p.\nAnswer: 2*m**2 - 152*m*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -115, -474, -1227, -2518, -4491, -7290?\nAnswer: -11059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l = 13*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (158 + -146 + 2 + -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 9*l**2 - 50*l - 27. Let p be v(13). Let z(n) = -494*n**3 - 3*n**2 + 2*n + 4. Is z(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.038 + 0.762. Let i be 11 + 474\/(-21) - -12. Which is the biggest value? (a) t (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/10))**32\/((((f**3*f)\/f)\/f)\/(f\/(((f**(1\/17)\/f*f)\/f)\/f))))**(-46) assuming f is positive.\nAnswer: f**(-16192\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 548 - 464. Calculate the remainder when 2098 is divided by s.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10650 and 882.\nAnswer: 1565550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*a = 19, -13 = -4*t + 3*t - 4*a. Suppose g - 3 = -3*s, -s - 2*g + 1 - t = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 4*s - 7*s + (1 - 1 + 1)*(-s - s + 3*s) + 62*s + 11 - 19*s - 10 in the form r + g*s and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66391*v**3 - 17624*v - 1 wrt v.\nAnswer: 398346*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1005 + -1005. Sort 0.2, -2\/3, -1\/2, q.\nAnswer: -2\/3, -1\/2, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3270751 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -96448 divided by -1\nAnswer: 96448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1751762*n. Let l(u) = 4*u**2. Give l(g(x)).\nAnswer: 12274680418576*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 3. Let u be d(0). Let b be (u\/(-9))\/((-3)\/9). Is 9\/4 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-178)\/(-19758))\/((-1)\/(-10)*90\/(-108))?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(2*14\/4). Which is greater: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1888 times -1.3?\nAnswer: 0.24544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4593+-0.26\nAnswer: -4593.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.1, -190\/7 in descending order.\nAnswer: 1\/2, -0.1, -190\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 448421383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -259, -471, -873, -1525, -2487, -3819, -5581?\nAnswer: -7833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0*u + 33*u + 2*u**2 - 120 - 8*u**2 - 2*u**2 + 6*u**2. Let a be y(8). Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152473748 to the power of 1\/3, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 229 = -4*g, -2*g + 169 = t - 58. What is the remainder when t is divided by 61?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*-6)\/(sqrt(36)\/(sqrt(16)\/sqrt(4))) + 1*(sqrt(1331) + 2 + sqrt(1331) + 3).\nAnswer: 5 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9382950293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 223920 and 273680.\nAnswer: 2463120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1903 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 2*b**2 + 4*b**2)*(-3 + 5 + 2)*(-8*b + 8*b - 2*b**2)*(0 + 1 - 4) - 81*b + 81*b - 7*b**4.\nAnswer: 113*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 9, j: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*a + 205*a = 3*x - 16, -8*a = -4*x + 48 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 + 1 + 2*y**3 - 3*y**3 + 0*y**3. Let m(d) = -d + 1. Let k be m(0). Let q be z(k). Let l(n) = -3*n - 3. What is l(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.137 + -0.037. Let s = -1.1 + x. Let g = -248\/1225 - -6\/49. Which is the fourth biggest value? (a) -2\/19 (b) g (c) -5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -9. Is 5 a factor of f\/(-1 + (-45)\/(-55))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -15. Let s(v) = -3*v**2 - 3*v + 2. Let c be s(-3). Let d be 1*227 - (c + 12). Calculate the greatest common divisor of d and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1263640 and -79\/17059140?\nAnswer: 34118280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30\/13 + 73\/26. Let w be (141\/18)\/(30\/(-9)). Let b = w + 11\/4. Put 4\/5, t, b in ascending order.\nAnswer: b, t, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*m**3 - 371*c**2*m**2 - c**2 + 89*c wrt m?\nAnswer: 6*c**2*m**2 - 742*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-90)*(-4)\/26?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.2 (c) 29\/10 (d) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252094 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/12*-6*(-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12037539?\nAnswer: 3, 139, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, n: 6, v: 4, u: 1}. What is prob of picking 1 v and 1 u?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*k + 127*k = 402. Calculate the remainder when k is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5696429 and 17340.\nAnswer: -5679089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-5)\/1*(-8)\/(-20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1468? (a) 0.5 (b) 2\/11 (c) 4 (d) 4\/3 (e) 18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13579291*x**2 + 8*x - 8*x.\nAnswer: -13579291*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + 2*v)*(0 + 2 - 1) + 2*v + 2*v - 3*v + (3*v + 0*v - v)*(-3 + 1 + 4) + 3*v - 4*v + 0*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84561325889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 10:28 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 639096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -62. Suppose -2*i + 20 = 4*c - 22, 0 = 5*c + 4*i - 60. What is the highest common divisor of c and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13165 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -10*m + 0 + 1\/3*m**3 - 2*m**2. Differentiate k(l) with respect to l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u**(-4)*u)\/u)*u\/(u**(3\/7)*u*u))\/(u**(-3))**(-2\/5))**(-11))**(-4\/23) assuming u is positive.\nAnswer: u**(3652\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -19*j - 75. What are the prime factors of (1 - -117)\/(-3*5\/j)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 - 124. Let r = 15 + h. What is the closest to 14 in r, 3, 1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 14*p + 34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 37. Let n = 0 + 0. Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*3059.\nAnswer: -73416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/84 and 59\/108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9867 - 9868.3054. Round b to two decimal places.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -22441?\nAnswer: 22440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-12)\/(-40) - 1. Let d be 26\/24 - (-6)\/(-8). Suppose 4*x = -f - 3, -4*x = -6*f + 3*f - 9. Which is the closest to z? (a) 0.1 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 10*y**2 + 10*y**2)*((-4 + 1 + 4)*(-2 - 4 + 4) + 0 + 1 + 1 + 1 - 1 + 1 - 6 + 2 - 14).\nAnswer: -51*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/4 + 7549*n**3\/2 - 30193*n**2\/4 + 3774*n = 0. Calculate n.\nAnswer: 0, 1, 15096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2084328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - 7. Suppose a + 0*a = j. Solve 0 = 2*p + 2*p + a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185114 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073.\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 + 273\/(-9). Let q = m - -41. What are the prime factors of (368\/10 - 2)\/(3\/q)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 199 = -4*d, 2*d - 131 = -b - 44. Let s = d - -16. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgglllghlqgqglhgpgq. Give prob of picking 1 q, 1 l, and 1 h.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -85*w**2 + 39*w - 13. Let q(p) = -52*p**2 + 24*p - 8. Let n(g) = -8*b(g) + 13*q(g). Let a(m) = 3*m + 2 - 2. Give a(n(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12373240 by 1220.\nAnswer: -10142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rraar. Give prob of picking 1 a and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6215 and 128379865.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(2*k**5 + 0*k**5 + 0*k**5) - 729233 + 3*k**2 - 219*k**5 + 729233 + k**5 - 3*k + 3*k.\nAnswer: -214*k**5 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - -4. Let m = 24547 + -24546.8. Let c be 2\/9 + (-78)\/108. What is the third biggest value in c, 3, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 13. Let z be (-1)\/(((-4)\/(-20))\/o). Solve 0 = p - 2*q + 12, -2*p - 2*p - 33 = -z*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 495\/(-75) - 8736\/23660?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 6. Let a(x) = -x**2 - 7*x - 6. Suppose -11*c = -9*c + 10. Let z be a(c). Let i be j(z). Solve 0 = h - i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146\/14 - 6\/14 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 24. Let a be v(6). Which is bigger: a or -13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/3 + 115*b**2\/3 - 40*b.\nAnswer: 5*b*(b - 1)*(b + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -463 or -456?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o + 53. Let u be v(-12). Solve 0 = 4*q - 3*q - 3*t + 10, u*q = 3*t - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1)*(13 + -11). Let v be 3\/(4 + -5 + (-7)\/g). Sort v, 5, 1 in descending order.\nAnswer: 5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -34. Let o(v) be the second derivative of v**3\/6 - v**2 - v. Let d be o(5). Put d, 1, b in increasing order.\nAnswer: b, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2639*a - 44. Calculate x(-1).\nAnswer: -2683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167.65017 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 224*w - 12435. What is t(-81)?\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76495368 a multiple of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l + 1. Let m(o) = 63*o - 8. Let a(h) = m(h) + 4*u(h). Let c be 12\/(-9)*(-81)\/(-18). Let x(k) = k + 5 - 16 - 15*k. Calculate c*x(n) + 17*a(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:26 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86808 + -35014. What are the prime factors of v?\nAnswer: 2, 19, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -32510986409?\nAnswer: -32510986408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.8 + 14. Put p, 4, -1 in decreasing order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70.1 and 2147.91.\nAnswer: -150568.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 5*o - 30. What is the least common multiple of j(-6) and 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + u + 10, 4*j - 2*u + 2 = 10. Sort j, -8, 0, 5.\nAnswer: -8, 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.143 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4 + 2*s**3 - 24*s**2 + 8*s + 32 = 0?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -248 + -163. Let v = -410.87 - m. Is v not equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 13.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21427*b**6*s + 27*b**4*s + 14*b**2*s - 107*b**2 + 18*b*s - 2*b + 6 wrt b?\nAnswer: 2571240*b**3*s + 648*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 8. Let b be r(-6). Suppose 0 = -0*d + b*d. Suppose d = -4*z - 12, h = 3*h - 5*z - 23. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 4, w: 2, f: 2, u: 10}. Give prob of picking 3 e and 1 b.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 283202.\nAnswer: -7929656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 1. Let r(f) = f + 2. Let l(t) = 6*o(t) + 3*r(t). Let h(v) be the first derivative of v**2\/2 + 11. Determine l(h(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + 3.6. Let w = -0.031 - 0.269. Sort -2\/19, w, b in increasing order.\nAnswer: w, -2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -52*(6\/(-4) + 1). Solve -4*z + 5*j - h = 0, j = 5*z - 3*z + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u + 19. Let w(v) = -5*v + 6. Determine 2*b(g) - 7*w(g).\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtrtvttye. Give prob of sequence rvtv.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:47 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b - 4*t + 16, -t = 3. Let p be (b\/6 + 3)\/((-1)\/14). What is the second derivative of 21*l - p*l**3 - 26*l + 16*l wrt l?\nAnswer: -84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*m - 1240 = 11*m + 380 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2690 or -45?\nAnswer: -2690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -58, -60, -64, -70, -78, -88?\n\"Answer: -a**2 + 3*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578 + 582 - 1171 + d.\nAnswer: d - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-651) + 165858\/6138\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*p - 39 = 9, 3*c - 10*p - 272 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, 1.26, 2.2, -0.4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = 13*t + 70. Let s = t - 8. Solve s = 4*n + 5*m, n - 2*m + 5*m - 13 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/260*(-15)\/8)\/(-1)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from uiusssusuv?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -165. Let b(i) = 2196*i - 1098*i + v*i**2 - 1099*i. Calculate b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/44)\/((-20)\/80). Let v = -17 - -17.5. Which is the second smallest value? (a) v (b) h (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1032*x + 2 - 981*x + 2396*x to n + u*x and give u.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 807.\nAnswer: 2\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -3. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 27. Let p be f(8). List the prime factors of 597\/7 - (-26)\/p.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 + -109 - -179) + -62.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 - 2*f. Let u be o(2). Suppose r - 12 = -3*r + l, u = 5*l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -4\/5, 5, -5, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1822 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:49 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21231000 (base 5) to base 4.\nAnswer: -223332131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3916*o + 19. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 10.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 43*p**3 + 86 + 61 - 229 - 27*p**3.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5150 + 236?\nAnswer: -4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is the ten thousands digit of 348313724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = i + 2*i + 15, 15 = -5*k - 4*i. Let o(c) = 3*c**2 + 8*c - 3. Let v be o(k). Solve -1\/3*s**3 + 0*s**2 + v*s**4 + 0 + 0*s + 1\/3*s**5 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 16. Solve 0 = -3*q + 2*q - g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509 - -129.1\nAnswer: -379.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**31\/d)\/(d**(-16)*d*d)*(d**(-29)\/d)\/d*d*d**(-24))**(-23\/2) assuming d is positive.\nAnswer: d**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*q + 733*q = 1456*q + 220 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -23, -12, 13, 58, 129, 232?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Let s be j + (-3)\/(0 - -1). Find the second derivative of -a**2 + 4*a - 4 - s + 5 wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -2 (c) -5 (d) 1\/10 (e) -3 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 565*q**2 - 4*q + 7. Let m be t(2). Let p = 3770 - m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:30 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (6 + -3 - 0 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 3*i + 0*i)*(-128*i**2 - 68*i**2 - 54*i**2) to v + j*i + w*i**2 + p*i**3 and give p.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/6*7*(-18)\/(-4725)*15?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = -29*s + 37*s + 2440. Calculate the highest common divisor of 5429 and s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108426730 times 4\nAnswer: 433706920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + 6*(sqrt(187) - 1*sqrt(187))\/sqrt(11)*-5*5)*-4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 p when four letters picked without replacement from npespcpsepceccecep.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzee when four letters picked without replacement from uzhuuzhuuehuuehhhhl?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 p, and 1 d when four letters picked without replacement from ddppppdpndpppnpjnnjp.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 90*o**3 - 4*o**2 + 2*o - 1. Let m be y(3). What is the derivative of m*r - 72 - 2399*r - 50*r**2 wrt r?\nAnswer: -100*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.315? (a) 15 (b) -18 (c) 0.2 (d) 5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1*3\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 5*c**2 - c + 2. Let g(u) be the third derivative of u**5\/12 - 7*u**4\/24 - u**3\/3 - 8*u**2 - 10. Let q be g(2). Calculate x(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*m + 2*m + 2*m)*(-3*m - 12*m + 2*m)*(-m - 2*m + 0*m) to the form v + f*m**2 + i*m**3 + t*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 6. Let r be k(2). Let t(b) = 11*b - 6. Let y(c) = 2*c - 10100 + 3*c + 10097. What is r*t(v) + 9*y(v)?\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 54 - 54)*(5 + 1 - 4) + (2*n + 3*n - 6*n)*(-5 - 3 + 4).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 11) to base 14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1459*r + 15892. What is d(11)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/120 + (16 - 1708\/105)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q**4*x**2 - 4*q**4 + 13*q**3 + 197*q*x**2 - q + 2*x wrt q.\nAnswer: 72*q**2*x**2 - 48*q**2 + 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - m + 12 + 2 = 0, -14 = -4*j + 5*m. Let h be j - (-1 - 3*-1). Let k = 9 - h. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 1, d: 2, m: 1, n: 1, h: 1}. Give prob of sequence hdd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 1, s: 5, v: 1, z: 1, d: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 1086*c + 5 - 7256*c - 12084*c + 2*c + 0*c - 3*c + (-c - 2*c + 4*c)*(-1 + 2 - 3) - 2*c - 3*c + 4*c.\nAnswer: -20430*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25778086387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = -5*p + 6*c + 15, 5*p + 5*c = 75 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7*d - 33. Let z = d - -25. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -39. Let h = -2 + 7. Find the third derivative of -5*b**h + 0*b**5 - 5*b**d + 0*b**2 wrt b.\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29509 + -29579.116. Let o = u + 70. What is o rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -417. Let g = -0.04 - -8.04. Let h = g - 7. What is the closest to h in 1\/4, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24792265\/1512 - 16397. Let w(x) be the third derivative of j*x**8 - 6*x**2 + 1\/945*x**7 + 0 + 0*x**6 + 0*x**4 + 0*x + 0*x**5 + 0*x**3. Factor w(p).\nAnswer: 2*p**4*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:17 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*x - 9979 + 1734, -x + 11028 = 4*d. Calculate the greatest common divisor of 534 and d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**5\/7 - 1266*y**4 + 17694*y**3\/7 + 1266*y**2 - 17700*y\/7 = 0. What is y?\nAnswer: -1, 0, 1, 2, 1475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2353, -4894, -7615, -10510, -13573?\nAnswer: -16798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2605363 (base 9) to base 6.\nAnswer: 50243133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**(-3\/5)*(f**(2\/7))**(-42) assuming f is positive.\nAnswer: f**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igi when three letters picked without replacement from {g: 1, s: 1, j: 3, o: 1, x: 2, i: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -84. Let m be ((-36)\/(-15) - 2) + (-22184)\/(-40). Suppose -6*q = -q - m. Calculate the remainder when q is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**5\/5 + 7*b**4\/12 - 7*b**3\/6 - 7*b**2\/2 - 7*b. Let i(q) = q**3 - 2*q**2 + 2*q + 2. Determine 7*i(c) + 2*k(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - x - 107 = 0, b - 3*x - 25 - 10 = 28 - 80 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54678326 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1294804 and 81613.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2. Let d be j(-1). Suppose d = -2*l + 7*l - 180. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0*f**3 + 31*f - f**3 - 32*f + 8 + 6*f**2. Let l be z(6). Solve -5*w - 19 = -i, -5*i = -5*w - l*i - 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 8. Let t(p) = 9. Let l(c) = c - 12. Let j(z) = 15*l(z) + 20*t(z). What is j(y(q))?\nAnswer: 45*q**2 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**3 - 22*m - m**2 - m**2 - 6*m**3 + 145*m wrt m.\nAnswer: 6*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6 + 595*f**4 + 5998*f**2 - 5.\nAnswer: 120*f**3 + 14280*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45915 + -2.0325\nAnswer: 45912.9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/30 - 213*n**2 - 2. Let k(r) = 1569*r. Calculate m(k(t)).\nAnswer: 4923522*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 + 50. Let c = 97 + g. Which is smaller: c or -9\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_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: Let p = -1.4 + 0.4. What is the closest to -1 in 2, p, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2298*s + 2290*s + 96 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105695 by -6.\nAnswer: -105695\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-38))\/(-1*2\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-20727)*-188)\/(((-12)\/(-105))\/((-6)\/15))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2007\/5 + 401. Let s = 596\/11 - 54. Sort 2\/3, -0.08, x, s in increasing order.\nAnswer: x, -0.08, s, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.162242 to two decimal places.\nAnswer: 22.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a**2 - 4*a - 6. Suppose -5566*j = -5575*j + 36. Let s(g) = 22*g**2 - 9*g - 13. Determine j*s(p) - 9*l(p).\nAnswer: -11*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15.31*2\nAnswer: -30.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 3*s**2 + s**2 + 331*s.\nAnswer: -2*s**2 + 331*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4\/7, 1\/7, 3\/7, 1\/3.\nAnswer: -12, 1\/7, 1\/3, 3\/7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/3)\/t*t)**(-27)\/(t*t*(t\/((t**(1\/3)*t)\/t))\/t)**48)**(-11\/5) assuming t is positive.\nAnswer: t**(1276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 6*s - 13*s as z*s + d and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2605, -16, -2, 5 in increasing order.\nAnswer: -2605, -16, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + -2)*-1. Suppose c = -r - 2*s - 1, 4*s - 7 = -3*r - 2*r. Suppose -a + 4 = -0. Solve -r*x - 3 = p - a*x, -5*p + 2*x = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 - 2*c + 38. Calculate the remainder when f(7) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-217)\/(-124))\/(2\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 3285952?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -283.99657 + 284. What is h rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsm when three letters picked without replacement from isdimm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 30*x + 35. Let s be m(-14). Let i = s - -309. List the prime factors of i.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a*a**(-1)))\/(a*a*a**(-1\/3)\/a*a))**27)**35 assuming a is positive.\nAnswer: a**(-1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*m - 4*m - 48 = 0, -3*i - 26626 + 26557 = 3*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2 + 1377401*z + 37189098 = 0.\nAnswer: -1377374, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/14 and (786\/(-20))\/(36\/10)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 735 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 + 7*k**2 + 0*k**2 + 0*k**2 to m*k + z*k**2 + v and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1570 divided by 157\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007418 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*w**2 + 39*w**2 + 344 + 84*w**2 - 342 + 2*w**4 - 134*w**2 - w**3 - 2*w in the form q*w + o*w**3 + z + j*w**4 + f*w**2 and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00185915504 to 5 dps.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2693*n - 170541 + 60128 = 0 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 + 664*t**2 - 10. Let l(s) = -8*s**3 - 1660*s**2 + 24. Determine 5*l(y) + 12*o(y).\nAnswer: -4*y**3 - 332*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from fkffffkkfffmkf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 + 369*m - 1080 = 0. Calculate m.\nAnswer: 3, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 10*w**2 + 4*w - 8. Let z be l(10). Suppose -u = -111 + z. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*l + 88 = 0, b - 9*l = -6*l + 29. Calculate the remainder when 192 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51309 - -9304. List the prime factors of r.\nAnswer: 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f - 10. Let m(t) = 1. Let z = 1 - 7. Let d(i) = z*m(i) - g(i). Let h be d(3). Do h and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122 (base 3) to base 9.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*l**2*z**3 - 10*l**2 + 2923*l*z - z**3 - 2*z**2 - 3477*z + 132 wrt l.\nAnswer: 10*l*z**3 - 20*l + 2923*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 328, 309, 308, 331, 384?\n\"Answer: x**3 + 3*x**2 - 35*x + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10927\/4 - -2732. Let b be 3 - (96\/17 - 3). Sort -1\/6, b, r in decreasing order.\nAnswer: b, r, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = t + 36, 2*b - 4*b = 3*t - 32. What is the remainder when 19 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 152*d**2 - 536075*d + 1071534.\nAnswer: (d - 659)*(d - 2)*(d + 813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -22. Suppose -2*h - 3*h = 20. Sort h, x, 1, 3 in descending order.\nAnswer: 3, 1, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1374953 by -1.\nAnswer: -1374953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 1 g when three letters picked without replacement from {i: 1, l: 4, h: 3, k: 4, g: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33584260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (104\/(-10) - -5 - -5)*15. Let u be 5 + 5\/15 + y. Which is the third biggest value? (a) 2\/9 (b) 0.5 (c) -5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185896, 371874, 557876, 743914, 930000, 1116146, 1302364?\nAnswer: 1488666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/9*(1 + (-25)\/10). Solve -2*k + 9 = -s*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.86105 rounded to one decimal place?\nAnswer: -28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40b84 (base 12) to base 3\nAnswer: 11022002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - y**2 + 1. Let u be t(-1). Let d be (0 - -44)\/(3 + u). Let c = d - 21. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1\/8, 1.44, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(304) + (sqrt(304) - (0 + sqrt(304))) + sqrt(304) + -1 + sqrt(304))**2 + (-1*(sqrt(304) + -2))**2 + 4).\nAnswer: -120*sqrt(19) + 9148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28820610 divided by 2210.\nAnswer: -13041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6409.8? (a) -48 (b) 2\/9 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*q**2 - 79*q**4 + 2*q - 85*q**4 - 55*q**4 + 214*q**4 to v*q**3 + n*q**4 + g*q**2 + i + m*q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 10.3.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + h**2 - h + 7. Suppose -f - 4 = 0, w + 8 = -5*f - 8. Suppose -w*o + 7*z = 2*z - 15, 15 = -5*z. What is k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.75 at least 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(-2))\/(-7)*-10. Solve -k = -5*j + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-40)*-5)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58314722 divided by 15?\nAnswer: -58314722\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11266 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33533680 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.76354 to 2 dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -136, -358, -962, -2140, -4084?\n\"Answer: -32*f**3 + f**2 - f - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693837515?\nAnswer: 5, 538767503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 take away -987629.79?\nAnswer: 987477.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 18*i**2 + i - 13. Let a be k(18). Suppose -y - 2 = 3*m - 3, a*y = 5. Suppose m = -3*v + 213 + 174. What are the prime factors of v?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 189 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c = 66 + 124 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4366, 4367, 4370, 4375?\n\"Answer: t**2 - 2*t + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q - 3*q + 42. Solve 0 = -2*g - g - q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 1\/3 (c) -16598 (d) -0.1 (e) 3 (f) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*d + 4*d, -2*d = -4*a. Solve -2*m - y + 5 = a, m - y + 1 = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*i + 196 - 533 = 0, -4*q + 4*i + 2885 - 3133 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:14 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3\/7 + 789*c**2\/7 - 3003*c + 137735\/7 = 0.\nAnswer: -815, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - 22914720\/(-227088) - ((-36)\/(-19) + -2).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -7 - (-2 + 2 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -2, -312 in descending order.\nAnswer: 16, -2, -3, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 38*r = 380. What is the smallest common multiple of r and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -110 (b) 11\/2 (c) 43\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69*(-3 - -1 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from bbbdbbdidibzdbbbb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 3 + 2*k**2 - 2*k**2 - k**2 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 90. Let i(t) = t**2 - 5. Let y(w) = 7*w**2 - 25. Let x(l) = -5*i(l) + y(l). Give u(x(d)).\nAnswer: -4*d**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5641 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6aa + -1?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-222)\/(-407) + (-16502572)\/(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-28)*1666\/(-119))\/(3\/((-3)\/(-14)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1)**2 + (sqrt(11) - (sqrt(11) + 5 + sqrt(33)\/sqrt(3))).\nAnswer: 7*sqrt(11) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/779 - -3130\/5453. Suppose 0 + 6\/7*u**2 + 2\/7*u**3 + c*u = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -4)\/(0 + 1) + 2. Suppose -5*o - 52 = -4*y, 0*o - o + 26 = a*y. Suppose -33 = 10*t - y. Which is smaller: t or -12\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (34\/10 + -3)*5. Solve -15 = h*z + 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3783157*n + 48 - 4*n**3 + 3783157*n.\nAnswer: -4*n**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 3*l**2 + 6*l - 6. Let c be r(4). Suppose 0 = -2*f - 4 + 6. Is -1 + 21\/(c + f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 12, 2 in increasing order.\nAnswer: -2, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(486)\/sqrt(3)*-4.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*h**2*x - 3184*h**2 - 10*x wrt x?\nAnswer: 105*h**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-10)\/3*(-18)\/18). Which is the closest to 4\/7? (a) 0.04 (b) 1 (c) y (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 1, h: 3, l: 4, b: 6, d: 2}. Give prob of picking 1 h, 1 v, and 2 b.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 174*a - 4625. Calculate c(21).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482625824 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60140.\nAnswer: 2, 5, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9348*u - 41*u + 12965 - 152570 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -16. What is the common denominator of 2\/l + (-40)\/(-33) and 43\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m = 26*m - 54*m. Suppose -5*g - 2*s + 3092 = m, g + 2*s - 29 = 583. What are the prime factors of g?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from joloojomod.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 267*a + 8. Let q(f) = 4*f**2 - 1203*f - 32. Let x(d) = 9*c(d) + 2*q(d). Suppose 5*p - 4*i + 46 = 0, 4*p = i + 2*i - 36. Give x(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*1*1 + sqrt(228) - sqrt(228))\/(2*sqrt(12)*-5).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -13211?\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254944\/901 + -1279887767\/45050. Let s = f + 28695. Calculate the common denominator of s and 28\/3.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let d(j) = -5*j**2 - 4*j - 3. Let q be d(-1). What is the third biggest value in q, 0.3, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1572, 3902, 9378, 19572, 36056, 60402?\nAnswer: 94182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6809079041?\nAnswer: 29, 31, 197, 38447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 0 = 4*c + 4, -3 = -5*c - 3*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*x - 1 = -0, -3*f - 5*x = -17. What is the remainder when 51 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3, 43915 in increasing order.\nAnswer: 3, 25, 43915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 2, x: 4}. Give prob of sequence xj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 6. Suppose -5 = -o, -4*p - 24 = -o - h*o. Which is the closest to p? (a) 0 (b) -1\/4 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10320725, -20641447, -30962169?\n\"Answer: -10320722*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0396*42.8.\nAnswer: 1.69488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*1\/4*-6. Let i be 4\/u*(-27)\/(-1). What is the highest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46596?\nAnswer: 2, 3, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -698076.4 minus 6414?\nAnswer: -704490.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-480)\/255 - -2)\/(-17 + 16).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**3 + 24*s**2 + 19*s - 79. Let y(r) = r**3 + r**2 - 2. Let f(g) = x(g) - 6*y(g). Does 9 divide f(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 17 (b) -1 (c) 182\/5 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2495 + -2495.0002428. Round d to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-14)*(3 + -10). Let t be a\/18 - (-14)\/(-18). Sort -0.4, t, -2 in decreasing order.\nAnswer: -0.4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00164969215 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 4. Suppose -12 = r + 3*r, -2*l = 2*r + 2. Suppose -4*f = l*k + 10, -6*f - 20 = 5*k - f. Which is the closest to -2? (a) -2 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*b + 35, -2*c - 30*b - 6 = -33*b. Solve 0 = -o - c + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-114)*45\/15.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - w + 1, 7*w - 2*w = 2*j + 11. Solve 0*u = -j*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, h: 1, o: 1, i: 2, a: 1}. Give prob of sequence nai.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -567\/5 - -114. What is the nearest to a in 6, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91157.\nAnswer: 11, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19760 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738619499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -6*t - 220. Calculate the remainder when 403 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -52*m**3\/3 - 15*m**2\/2 + 4*m. Let y be t(-3). Suppose -2*s + 228 = 5*d - 2*d, 4*d = -5*s + y. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/12 + k**3\/6 + 6*k. Find the second derivative of b(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2184886 + -3?\nAnswer: 2184883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(192) - (0 + sqrt(192) - sqrt(192))))**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -924, -5954, -15114, -28404?\n\"Answer: -2065*o**2 + 1165*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -38, 11, 0.2 in ascending order.\nAnswer: -38, -3, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 10960.7 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301548368.\nAnswer: 2, 11, 1713343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 40*u + 68*u = -780 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 12. Suppose -5*s - 29 = 2*k, 3*k = 1 - 7. Calculate l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -427 + 954. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.979 - 11.979. What is the nearest to 1\/4 in 27, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*v - 12 = -286*v + o, -4*o - 3 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752405070 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/12 + 7*s**3\/3 - s**2. Let i be d(7). Factor 2\/7*y**3 + 0 - 4\/7*y**2 + i*y.\nAnswer: 2*y**2*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/171 < 1\/645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m = 68*m - 1885 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + sqrt(275)*-1 - (sqrt(275) - -4*sqrt(275)*-2)*-4)**2.\nAnswer: 231275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s, -4*a + 10 + 1 = -3*s. Are -1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9240848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 12:12 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3016*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -67, 55, 307, 737, 1393, 2323?\nAnswer: 3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5 - 909705*x**4.\nAnswer: -5*x**4*(x + 181941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 26 = 2*v, -3*v = 4*w - 2*w + 7. Put 0, -4, 3, v in descending order.\nAnswer: 3, 0, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-94)\/(-3) + (0 - -4))*3. Let u = n + -47. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26316, -4, -7 in decreasing order.\nAnswer: 26316, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203596 is divided by 128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 5, -487, -1, -14, -5 in increasing order.\nAnswer: -487, -14, -5, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 441 - 13?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1356\/365 - -315\/73. What is the second smallest value in l, 4\/3, 78\/31?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/4 + 5)*37*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396) + 4.\nAnswer: -6*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:15 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79994160 divided by -4.\nAnswer: -19998540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -343064?\nAnswer: -343046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1227620 by -306905.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*u = -15 - 4, 5*w - 29 = 3*u. Suppose v + w*v - 5*c - 40 = 0, 0 = -c - 4. What is the third derivative of -n + n - n**2 + 2*n**v wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(153)\/(-1*sqrt(9)) + 4).\nAnswer: -21 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 78*d. Let r(y) = -4*y. Give r(g(x)).\nAnswer: -312*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -152) + (-111 - -94).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4572, -9140, -13706, -18270, -22832, -27392?\n\"Answer: w**2 - 4571*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745787466.\nAnswer: 2, 3, 23, 37, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) -2 (c) 0.6 (d) -47 (e) 0.01 (f) -0.2 (g) -0.06\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4197*d - 11 - 15823*d - 17 + 29.\nAnswer: -20020*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 30. Let v(m) = -3*m - 800*m**3 + 799*m**3 + 7*m**2 - 3 - 2*m. Determine v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 143*w**2 - 425*w - 693. Let b be j(-140). Solve 10*k = b*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 3*a**2 - 3*a. Let q be n(2). Let m = 8 - -47. Let s = -55 + m. Is q >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90.55 + 88. Let b = -1.9 - s. Let p = -0.17 + b. Round p to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-55)\/25 - 11\/(-5). Let v(q) = s*q**2 + 372*q**3 + 378*q**3 - 5 + 3 + 347*q**3. Is v(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1239*r**2 - 182*r - 4?\nAnswer: -2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*s + 3*s = -26, 2*s + 73 = -3*i. Let x be (49\/i + 3)*(-492)\/(-56). Which is smaller: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -87*y - 2*y**2 - 10*y + 17*y. Let o(l) = 5*l + 3. Let f(d) = -2*d - 1. Let i(v) = 3*f(v) + o(v). Give b(i(r)).\nAnswer: -2*r**2 + 80*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.591 (b) 0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233020, -233020, -233018, -233014, -233008?\nAnswer: -233000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Let t be (-120)\/28 - -4 - (-774)\/14. Calculate the greatest common divisor of u and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 226. Let n be 12\/20*5\/b. Put -4, 8, n, -1\/2 in descending order.\nAnswer: 8, -1\/2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {m: 1, h: 2, z: 1, g: 13}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/14))**16 assuming o is positive.\nAnswer: o**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (2 - -6 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - -2)\/(1896\/1580).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1188 divided by -594\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w - 31. Let k be l(-10). Suppose 3*g + k = q, 5*q + g - 101 - 94 = 0. What is the greatest common divisor of 273 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n + 4. Let t(p) = -5*p + 4. Let g(k) = -3*h(k) + 2*t(k). Let b be g(4). Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18973 and 78.25.\nAnswer: -14.8463725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 17*t**2 + 13*t + 38. Let m = -766 - -775. Calculate the smallest common multiple of m and p(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448143, 896308, 1344473, 1792638, 2240803, 2688968?\nAnswer: 3137133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by 5.\nAnswer: 117\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*t**2 - 301*t**3 + 368*t**3 + 527*t**3 + 4*t**4 - 18*t wrt t.\nAnswer: 96*t + 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162398183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 1 - 2*t - 1 + 3*t**2 - 1 + t**2. Let n be o(3). Differentiate n*s**2 - 3*s**2 - 16 - 3*s**2 with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let l(q) = -3*q + 8. Let k(f) = -1. Let y(n) = 2*k(n) - l(n). What is y(u(g))?\nAnswer: 6*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12945263.\nAnswer: 12945263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 0. Let l(g) be the second derivative of g**3\/6 - 3*g**2\/2 - 2*g. Give l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, j: 2, q: 4}. Give prob of picking 1 j and 2 g.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2*l**2*u - 3*k**2*l**2 - 89*k**2*l + 18161467*k**2*u + 108*l**2 - 6*l wrt u.\nAnswer: 2*k**2*l**2 + 18161467*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 less than or equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8089371 to 2 dps.\nAnswer: -4.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -2*d**7\/147 - 2*d**6\/105 + 6*d**5\/35 + 4*d**4\/21 - 16*d**3\/21 - 6*d. Solve p(h) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 2862?\nAnswer: -59\/2862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 - 4*b - 1. Let c be z(3). Let s = c + 2. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 15*w**2 + 52*w + 14. Let f be m(-5). Solve f*a - 16 = 0, -5*d + a = -4 + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + -1 + 4*sqrt(539) + 1 + -5 + (sqrt(539) - (-2*3*sqrt(539) + sqrt(539))))**2.\nAnswer: -980*sqrt(11) + 53949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -207844200 to the nearest 100000.\nAnswer: -207800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -374.56 smaller than -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 18 + 6 = 0. Solve -i = -z*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, 4, -797, -4, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 3*f**2 - 3*f. Let o be w(-3). Let v be 2\/(-3) + 447\/o. Suppose -q = 4*n - 105, -3*q = -4*n + 2*n + v. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 232, 348?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660148333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66456 divided by -213.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108344371.\nAnswer: 108344371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = 0. Let u = -229\/897 + 7\/69. Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-425)\/(-170)*(-18)\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/185 - 7213\/370. Calculate the common denominator of n and 69\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3804396 is divided by 82692.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 20.96. Let i = -0.23 + 0.33. Which is the second biggest value? (a) p (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = 0, -30*g = -3*p - 28*g + 88063. List the prime factors of p.\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/16380 and 151\/5850.\nAnswer: 81900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q**2 + 10*q - 14*q + 2 + 7*q)*(-3 + 2 - 3) in the form u*q + a*q**2 + t and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2210 + -311401313?\nAnswer: -311404023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/7 (b) 22 (c) 0.1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - ((sqrt(12) - sqrt(84)\/(sqrt(7)*1)) + sqrt(12)) - sqrt(12))\/(sqrt(64)*1).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3663 and -3664 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/113 (b) 2 (c) -5\/3 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8*t = 9*t - 459, t - 687 = -3*w. Let a = 240 - w. Solve -8*k + 4*k - a = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w**4 - 1\/10*w**6 - 1\/252*w**8 + 5*w**2 + 0 - 4\/105*w**7 + 2*w - 4\/45*w**5 + 0*w**3. Solve u(x) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35559755773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 49*w**2 + 66*w - 48. Calculate the remainder when 187 is divided by l(-23).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m)*(3 - 3 + 2) + (-4298*m + 4847*m - 4487*m)*(-3 - 1 + 6).\nAnswer: -7880*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 21 - -99 - (91 - 93) - 1?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 135040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.615 + 0.115. Suppose 2*p + 36 = -p. Let k be 4\/(-2) - p\/5. Which is the closest to k? (a) -2\/13 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44007 - 136*n + 7*n**3 + 44007 - 140*n + 270*n.\nAnswer: 7*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368638 divided by 196.\nAnswer: -184319\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**7\/2940 + q**6\/630 + 2*q**3\/3 - 1. Let h(b) be the third derivative of i(b). Determine o so that h(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -11?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 478693 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1 + (-2 + 3 + 0)*(5 - 1 - 6))*((2*t + 3 - 3)*(-2 + 4 - 1) - 864*t + 235*t - 225*t) in the form s*t + q and give s.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001712362 to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 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: Calculate 1002 divided by -654.\nAnswer: -167\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17337*i**2 - 11285?\nAnswer: -34674*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.41 and -16915.\nAnswer: 6935.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 201\/7 - 6\/(-21). Suppose 3*v + x = s, 4*s + 3*v = 3 + 53. Suppose s*k - 12*k = 530. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152634 is divided by 44315.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, 8, 123, 370, 791, 1428?\n\"Answer: 7*m**3 + 3*m**2 - 33*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -53. Suppose 5*c + 8399995 = -g*m + m, 3359997 = -2*c - 3*m. What is c rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) -10\/7 (c) -1 (d) -8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:55 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43475060 and 15080.\nAnswer: 1130351560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 21?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:28 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906445133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 31840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 317 and 83?\nAnswer: 26311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 7*i - 8. Suppose 3 = -4*z - 21. Give l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voy when three letters picked without replacement from yvqqyoqoyeqvqqvfffy?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -1\/9*u**3 - 4\/3*u - 33 - 5\/6*u**2. Determine o so that i(o) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x + 56*x - 42*x = -3712 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 1. Let z be l(-3). What is the nearest to -1 in 3\/2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -585526 divided by -47\nAnswer: 12458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-1) + 5 + (0 - 7). List the prime factors of (-30277)\/(-68) - 10\/x.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32.487 from -579.7051.\nAnswer: -547.2181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(2 - 4 + 0)*(-2*i**3 + 5*i**3 - 2*i**3).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79460 is divided by 26476.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19570 and 9682.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y - 1. Let x(z) = 2*z - 3. Let p be x(-2). Let k = p + 21. What is the remainder when k is divided by v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 3*6\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = 4*v - 10, 8 = 3*v + 2*p. Suppose -5*z + 17 = -3*n - 5, -n - v = 0. Sort 5\/4, z, 4.\nAnswer: 5\/4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72.43469 millennia?\nAnswer: 869216.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63007 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 7 - 2, 0 = -3*h + r + 89. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**3 - 291*q**2 - 9048*q - 91260 = 0.\nAnswer: -45, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-1)\/(-45 - -44). Suppose 2*w + 25 = -3*l, l = 4*w + 97 - 40. Let f be 1 + (4\/w - 1). Does v = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 3*r + 3. Let f = -17 - -13. What are the prime factors of h(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 89 = -55. Let k be (12\/16)\/((-3)\/h). Suppose -k = -3*d + 6. Solve d*q + 1 = -19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 + b**4\/12 + b**2 - 3*b. Let x be (5 - 5\/1) + (1 - 1). Give r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.14 (c) -0.497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 26 - 90 = 0. What is the highest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 - 25*p + 2. Give c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nso when three letters picked without replacement from ponspsnosnnno?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 13*t - 492. What are the prime factors of t?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 25 + 37*j - 29*j - 28*j. Is 12 a factor of q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -1015, -1\/2, -2, 4072 in ascending order.\nAnswer: -1015, -2, -1\/2, -1\/6, 4072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + z)*(2*z + 3*z - 4*z) - z**2 - z**2 + 4*z**2 + (-1 + 0*z + 2*z - 4*z)*(0*z + 3*z + 2*z) to the form d*z + h + n*z**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2527437.\nAnswer: 3, 11, 19, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*f + 3*f + 238*f**3 - 279*f**3)*(-2*f**2 + f**2 + 0*f**2).\nAnswer: 41*f**5 - 156*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 24057 - 8007. Suppose -u = -5*d - 349. Round d to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + z - z)*(0 - 2 - 1) + 370*z - 91 - 169*z - 198*z)*(2 - 2 + z).\nAnswer: 6*z**2 - 91*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 56, -86, 15, -3, -34, 3 in descending order.\nAnswer: 56, 15, 3, -3, -5, -34, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 2*w - 28)*(3*w + 0*w + 0*w)*(-42 + 10 - 17)*(1 + 2 - 2).\nAnswer: 294*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.084 and -0.2.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214929154?\nAnswer: 2, 11, 199, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10232322113 (base 4) in base 8?\nAnswer: -4567227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1, -2, 1\/6, 0.3, 35284, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -45. Suppose 2*b = -p*w + 21, 0 = 2*b - 5*w + 10 - 1. Solve -2*z - b + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-9))\/((-34)\/(-153))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -18*x**3 - 2132*x**2 + 1198*x + 952 = 0.\nAnswer: -119, -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - 2*x**5 + 0*x**3 + (-34*x + 34*x + 11*x**2)*(15*x**2 + 2*x**3 - 15*x**2).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -138. Suppose 0 = v*n - 154*n + 741. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 848108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-1\/13)*a*a*a\/((a\/(a*a**(-2\/55)*a))\/a*a*a)*a*a*a*a**21*a\/(a*a**(2\/15)) assuming a is positive.\nAnswer: a**(59861\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1 + -2 + sqrt(448))*-6.\nAnswer: -96*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0933 + 0.087. What is p rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 2 (b) -828 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5730314 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 1, v: 1, e: 4, h: 3, r: 2}. Give prob of sequence hnhm.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - 2 - (-41 + (-62 - -39 - -45))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/10602 and -25\/228.\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -352, -775, -1364, -2119?\nAnswer: -3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 1. Let x(c) = -2*c - 2*c - 9 + 2*c - 3. Let f be x(-8). What is b(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*g + 80*g - 94*g as s*g + x and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 10*z**2 - 3*z + 2. Let q be g(10). Suppose 0*u - 5*c + 32 = u, 4*c - 151 = -3*u. Calculate the remainder when u is divided by ((-30)\/8)\/(7\/q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -792, -1586, -2380, -3174, -3968?\nAnswer: -4762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85239 by 861.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:43 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 5*a - 1. Let l(m) = m**2 - 120*m - 127. Let j(t) = 2*l(t) + 4*s(t). Factor j(r).\nAnswer: -2*(r + 1)*(r + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934617698?\nAnswer: 2, 3, 13, 635969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*m**2 - 19*m + 1001?\nAnswer: 10*m - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z. Let g(s) = 56*s**2 - 95*s + 4*s**2 + 95*s. Give g(o(v)).\nAnswer: 1500*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 399 in increasing order.\nAnswer: 0.4, 2, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4282 * 16505\nAnswer: -70674410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/6))**(2\/47))**(-1\/31) assuming o is positive.\nAnswer: o**(-1\/4371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f**(1\/4)))\/f)\/f)\/(f*f*(f\/(f*(f\/f**(-2))\/f))\/f))\/((f*f*f*(f\/f**23)\/f)\/f**(-1\/42)) assuming f is positive.\nAnswer: f**(1573\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -11. Suppose g + a*g = 42. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-276)\/(-105) - 1) + (-16)\/(-28) - 2. Let b(d) be the second derivative of -l*d**5 + 2\/15*d**6 + 0*d**3 + 15*d + 0*d**4 + 0 + 0*d**2. Factor b(g).\nAnswer: 4*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131502 and 217434.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 115\/25 - 12\/(-6) - 7. Let u be (-1 - 1 - 1)*1. Put -2, u, -4, w in ascending order.\nAnswer: -4, u, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*d**6 + 976044*d**3 - d**2 - 5602*d + 1424 wrt d.\nAnswer: -3240*d**3 + 5856264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**8\/210 + s**5\/30 + 2*s**3\/3 - 5. Let w(i) be the third derivative of n(i). Find the second derivative of w(x) wrt x.\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 6*k**2 + 4*k + 1. Let s be g(5). Let w = -3 + 1. Put w, 4, s in increasing order.\nAnswer: s, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/63 bigger than -1355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/578358 and 43\/12916662.\nAnswer: 38749986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3\/3 + 1120*k**2\/3 - 2228*k\/3 + 1112\/3 = 0?\nAnswer: 1, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -28. Solve -q**5 + 4*q**2 - c*q**4 + 8*q**4 - 6*q**4 = 0 for q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(5\/4))\/(f\/(f**(3\/4)*f)*f)*(f**(2\/7))**1*(f\/f**(-7)*f*f*f**8\/f)**(-10) assuming f is positive.\nAnswer: f**(-1174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 2*b**2 + 35*b - 11. Let q(w) = 4*w**3 + 9*w**2 - 141*w + 44. Let r(d) = 9*p(d) + 2*q(d). What is the derivative of r(n) wrt n?\nAnswer: -3*n**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 114 = 75*t + 349 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74379672 to the nearest integer?\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(68) + -4.\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*o - 2140*o**3 - 90*o + 2138*o**3 + 5 - 63*o to h*o + z + n*o**2 + r*o**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1888 and -9\/1180?\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c = -14*c + 926350. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000121595 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = 0, 0*i - 3*i = -5*q - 20. Let x(g) = 9*g**3 - g**2 - 2*g - 1. What is x(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 147*t**2 - 5. Let v(x) = 10049*x**2. Calculate h(v(i)).\nAnswer: 14844412947*i**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 29392?\nAnswer: 29392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 25*x + 16. Let h = -0.3 - 0.2. What is the biggest value in x, h, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 19*i**2 - 16*i + 58. Let c be j(-18). Solve c = 9*l - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*n**3 + 1\/4*n**4 - 1\/4*n**2 + 0 - 5\/4*n.\nAnswer: n*(n - 1)*(n + 1)*(n + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (294\/(-623))\/3*(-12)\/(-14)*(-250)\/1500?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 14, 3\/7, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 4*g**5\/5 + 6*g**3 + 8*g**2 + 2*g + 64. Let m(r) be the second derivative of q(r). Find the first derivative of m(t) wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.743486 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 + 199*h**3 - 195*h**3 + 18*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 25 + 69)*(-1 + 0 + 0)*(1 + p**2 - 2*p + 6 - 3).\nAnswer: -193*p**2 + 386*p - 772","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -82, 1 in decreasing order.\nAnswer: 4, 1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005151 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*y**2 + 230*y**2 + 6*y - 31*y**2 - 2.\nAnswer: 290*y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 70*n - 491. Let w be t(-29). Solve 3*l - o - 13 = 0, w*o - 16 = -4*l + 3*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 89. Calculate the smallest common multiple of d and ((-8)\/(-6))\/((-8)\/(-12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-308)\/(-45) + (2 - 0). Let i = 76\/9 - j. Let b = -67\/2 - -33. What is the nearest to b in 0.5, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209182 is divided by 102158?\nAnswer: 4866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 682. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t - 3. Suppose 23 = -4*j + 3*l, -j - 1 = l - 4. Determine v(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)*a**15)**34*(a**(3\/5)\/((a*a**(-2))\/a))**(-27) assuming a is positive.\nAnswer: a**(15053\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tvtttttvtvttttt?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 70 = -4*a, -2*a = -f - 4*f + 40. Suppose 11 = r - f. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15501511 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342 + 345. Suppose 2405 = f*c - l, 0*l - 4*l = 5*c - 3980. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 44, 62, 76, 86, 92, 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b2 - -119b?\nAnswer: bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 96, 193, 290?\n\"Answer: 97*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123)\/143 + 2074\/22814?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015498569 rounded to six dps?\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**2 - 1 - 5*l + 3*l + 4*l**2)*(12*l**2 + 0*l**2 + 2*l**2).\nAnswer: 154*l**4 - 28*l**3 - 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4 - 3388*h**3 + 60552*h**2 - 362448*h + 724032 = 0. What is h?\nAnswer: 6, 1676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*t - 50*t + t**3 + 3*t**3 - 3*t**3.\nAnswer: t**3 - 440*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, -2\/9, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -173*y - 1120. Give f(-5).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 13.24. Let t = o + -0.14. Suppose -i + 5*q - 5 = 8, 2*i = -4*q + 16. Is t >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2390\/14 + (-2)\/(-7). Suppose 7*j + 110 = -105 + 236. Suppose 0 = j*r + 5*c - b - 169, 3*r + c - 344 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*f = -275, 5*w + 0*f = 5*f + 685. Suppose -w = -4*g + 164. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213985 is divided by 71139?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8ac + -2c2?\nAnswer: 5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(27) + sqrt(3) - (sqrt(27) + sqrt(81)\/sqrt(3))**2.\nAnswer: -113 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6124 + -5819. Calculate the remainder when 498 is divided by i.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*h - 47*p + 42*p, -2*h + 11 = 3*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.97 and 4.\nAnswer: -3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23412344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(sqrt(68) - (1 + sqrt(68))) + -5 + -4*(2 + sqrt(68)) + 0 + sqrt(68) + 2 + sqrt(68) + sqrt(68) + 2)**2.\nAnswer: 52*sqrt(17) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 4*n - 2*n - 3*n**5)*(-3 + 0 + 2)*(2 - 4 - 1).\nAnswer: -9*n**5 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7*b = 3*i + 23, 25 = -3*i - 4*b. Let t be (-77)\/i + (-1 - -1). Suppose -3*f = t - 41. What is the lowest common multiple of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:15 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + z**3 - 2*z**3)*(-2 - 1 - 1)*(-2 + 2 + 2*z).\nAnswer: 8*z**4 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 + -188. Suppose -h + 1 = -n. What is the greatest common factor of h and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11 = -2*k, 8*r + 1 = -k + 3*r. Suppose p = 2*p + k. Is -2 + 1 + p + 26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 376013824 to the nearest 10000.\nAnswer: 376010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(847) + (0 + sqrt(847))**2 + 3).\nAnswer: 33*sqrt(7) + 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 < -514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4766 is divided by 295.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**2 + 271*f - 144*f - 127*f - 22*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, 0.1382?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 3*t, 0 = -h - 4*t - 15 + 24. Suppose -h*i + 2*p + 8195 = 0, -2*i + p + 3297 = 4*p. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d - 658 + 2*d**3 - d**3 + 32*d - 21*d to the form x*d**2 + l*d + m + b*d**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in 0, -1\/12, -3, -1, 2, -2\/6427?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = c - 75, -71 + 147 = -5*s - 2*c + 201 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -17*k**8\/840 - k**6\/45 + 16*k**3\/3 - 10. Let w(r) be the third derivative of j(r). Find the third derivative of w(p) wrt p.\nAnswer: -816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 184*q - 185*q + 1314, -3*b + 5229 = 4*q. Calculate the lowest common multiple of q and 21.\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11238361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-3))\/1 + 4. Let v = 0 + p. Suppose -2 = -0*x + 4*x - 5*j, -v*j + 8 = -x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5331637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.57 - 0.37\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5293*g + 5424*g - 10705*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.1. Let r = j - 0.7. Let g = 460.4 + -460.4. What is the nearest to r in g, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (1 - 8)) + 9 - 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:23 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {h: 3, e: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 - 17*v - 7. What is the remainder when 231 is divided by m(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -9. Let o be -2 - 2\/(-4) - 23\/f. Let m be 2*(-3 - 4) - -2. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/((-66)\/(-660))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546 - 264 - 282 + 23815*x.\nAnswer: 23815*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-151 - -157) + (-3 - 2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.1, -9\/256, 0, 2\/13?\nAnswer: -9\/256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267638.\nAnswer: 2, 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(2057) + 2*(-2*sqrt(2057) - sqrt(2057)) - (4*(2 + sqrt(2057)) - (-5 + sqrt(2057) + -1)))**2.\nAnswer: 2640*sqrt(17) + 296308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, r: 4, m: 3, o: 2, c: 1, j: 3}. Give prob of sequence ojr.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 139*v**2 + 2064*v + 1120. What is n(-13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9280 = -203*q - 8468 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3.9, -3\/211, -6, 1?\nAnswer: -3\/211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 2:00 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 60*r + 249. Let g be o(-4). Solve 8*u + 4*t = 3*u - 3, g = -u + 2*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73521 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 p, and 1 f when four letters picked without replacement from htapaftthpaaat?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.4 + 0.2?\nAnswer: 164.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/8964 and 41\/12?\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5740 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28)\/(-24) + -1 - (-1760900)\/24.\nAnswer: 3, 37, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*s + 3 - 4 = 0, m - s + 4 = 0. Let h = -6 - m. Sort h, -2, 2.\nAnswer: h, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:32 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2 - 5*d - 5 + 0*d**3 - 5*d**2 + 2*d + d**3. What is the remainder when -64*(-2)\/4 - 0 is divided by b(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 149, 150, 151, 152, 153?\n\"Answer: w + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 36*o - 3. Let h be k(-15). Calculate the highest common factor of 143 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4 + 6)\/(-4) - -1)*0. Suppose c*v - 12 = -4*v. Let -24*i**4 - 232*i**2 - 32 - 26*i**3 - 22*i**3 - 144*i - 12*i**4 - 108*i**v = 0. What is i?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190390 and 2065?\nAnswer: 78631070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 15*q**2 + 15*q - 9. Calculate d(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 46 = 3*a + 689, -2*a = -2. What is the units digit of 24067\/g + 2*(-1)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/1341?\nAnswer: -1\/1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -62 + -16 + 101\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3149070\/65 + 1 - 108\/468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -w - 15, 2*l - 20 = 4*w. Let d = l - 5. Find the common denominator of -37\/5 and d + -2 + (-134)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 y when three letters picked without replacement from ydyydydyyddd.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2279*h - 52466. Calculate w(23).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181521*b - 181503*b - 756 = 0 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112221 - -1010020?\nAnswer: 2200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i - 9. Let q be a(-4). Which is bigger: q or 18?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.185 - -1.3.\nAnswer: 3.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -25. Put o, 14, 0.2 in descending order.\nAnswer: 14, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -745*f**4*s + f**4 - 44*f**3 - 6*f**2 + 12210*f*s wrt f.\nAnswer: -17880*f*s + 24*f - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 36*h + 102. Let x be w(41). Suppose k - 202 + 32 = -5*j, -j = -2*k + x. Which is bigger: k or 153?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -842, -1637, -2432, -3227?\n\"Answer: -795*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m**2 + 2692*m - 2707. What is j(206)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9449 - -18?\nAnswer: -9431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 830 and 5865.\nAnswer: 973590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/4, 48, 6\/11 in descending order.\nAnswer: 48, 3, 6\/11, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -228454.234 to the nearest one hundred.\nAnswer: -228500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -445 - -444. Which is bigger: -20\/149 or z?\nAnswer: -20\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 6, 4, 0.2, -3 in descending order.\nAnswer: 6, 4, 2\/7, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2 + 238*x = 0.\nAnswer: 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l + 1033 - 241 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7411 or -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * 168.\nAnswer: -22344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = -26. Let q be (-6*t\/(-9))\/2. Solve -2*p + q - 2*p**2 + 2*p = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 6*p + 26. Let d be (18\/p)\/(15\/(-6)). Sort d, -1, -8\/7 in ascending order.\nAnswer: -8\/7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - 126. What is the common denominator of (-33)\/(-2)*(-2)\/102 and 3 + -2*b\/(-120)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -844 + 844. Let n be ((-3)\/6)\/((-9)\/(-54)). Sort -4, -1, n, c in descending order.\nAnswer: c, -1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26943075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z - 48 = -47*z. Let c be (-2)\/z - 5679996\/16. Round c to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 79.34088ml?\nAnswer: 0.07934088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 20 = 3*z, -11 - 29 = 52*k - 62*k + 4*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omoe when four letters picked without replacement from {m: 6, o: 3, e: 8, l: 1}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470577 is divided by 65?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7641 greater than -7642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7229 or -7230?\nAnswer: -7229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by -3.\nAnswer: -223\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 21*n - 17*n - 26, 4*n = -i + 17. Sort i, -1, 0.43, -2 in descending order.\nAnswer: 0.43, -1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -3)*(-1873)\/(-2). Suppose 43221 + t = 3*w. Round w to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/56*10*5\/(70\/4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2957.00001887 - 2957. What is d rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -87*j**5\/4 + 58461*j**4\/2 - 13208760*j**3 + 2057188752*j**2 - 22702970304*j - 1575510912 = 0.\nAnswer: -2\/29, 12, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24176 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -142, -268, -394, -520, -646?\n\"Answer: -126*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:33 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1738.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1001000101011 (base 2) to base 14\nAnswer: 19a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)\/s)\/((s*((s\/(s**7\/s))\/s)\/s)\/s))**(3\/11) assuming s is positive.\nAnswer: s**(45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 6 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169241788 to the nearest integer?\nAnswer: 13009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*a - 228 = 0, 93*a - 98*a = 5*k - 235. What is the greatest common factor of k and 24020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 3*v - 2*v)*(-3*v + 4*v - 3*v) + 18*v**2 - 9*v**2 + 13*v**2 in the form y*v + w + r*v**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1\/4, -0.01, -2\/11, 0.39, -2\/17, 14\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 52 + 25 - 146*t**3 + 2*t + 2*t**2 - 2*t to the form i*t + j*t**3 + l*t**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77519763 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*t + 285*t - 3439 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 12031?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08367 and -1.\nAnswer: 0.08367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340 + 0?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3549411*r**3 + 86304695*r**2?\nAnswer: -21296466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16776287\/6 + -2805463. Let j = 9394 + w. Find the common denominator of j and (4 + 12)\/((-14)\/(-3)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 + -1722681121256?\nAnswer: -1722681121549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/457 and 3\/1828.\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 444a2 - 112?\nAnswer: 44390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:42 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8017111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ab25 - -2?\nAnswer: -ab23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.96 rounded to 0 decimal places?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, 0.18, 4 in ascending order.\nAnswer: -7\/2, 0.18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -1531?\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 15*y + 18*y - 32*y + 12. What is f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -4.02. Let n(d) = d**2 - 10*d - 11. Let t be n(11). What is the third smallest value in a, -1, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1143077, 1143065, 1143053?\nAnswer: 1143041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c5ad4 + -415?\nAnswer: c56be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 120640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-12) - (0 - (-9)\/6). What is the units digit of (-23 - f)\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1132 and -4496.\nAnswer: -5089472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2860, -5, -42\/89, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**2 - 222*x + 7. Determine r(-25).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 575454565 to the nearest integer?\nAnswer: 23989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*q = -11 - 5, 3*h + 4*q = 43. Sort 1, h, 0, -2 in ascending order.\nAnswer: -2, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-30))\/(6\/4). Let w = 10 + -11. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -7*l**2\/2 + 5*l + 7. Differentiate r(z) wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = -12*x + 123 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 414 + 114 + z + 188 + 112.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-65) + (-3)\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, i: 4, k: 3}. Give prob of sequence kr.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 30. Let f be m(3). Let n be (4*7\/f)\/((-8)\/18). Solve -l = -2, n*l = 5*h + 2*l + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2368854 and 9090?\nAnswer: 11844270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimiavvmevimvime. Give prob of picking 1 v and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144358 times 134?\nAnswer: 19343972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -244\/5 or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*x - x + 14, -4 = -2*x. Let i = 4 + r. Suppose i*g + g = 0. Solve -b + g = 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*d + 963 = -4*d + 315 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/4 - 571499*r\/2 + 326611107001\/4 = 0. Calculate r.\nAnswer: 571499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cizfaaacfzciaffifia. What is prob of sequence zaii?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:37 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/2, -0.1, 4.\nAnswer: -0.1, 2\/5, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -21*z - 37 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 212130?\nAnswer: -211331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/13 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -413067360 divided by -26760\nAnswer: 15436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 - 256 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 40*q**2 + 70*q - 987. Calculate a(-42).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/16)\/u**(7\/3)*(u\/u**(-8\/3))**3 assuming u is positive.\nAnswer: u**(407\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, 81, 264, 511, 816, 1173?\n\"Answer: -v**3 + 41*v**2 - 3*v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiirxqqkqxi. What is prob of picking 2 x, 1 q, and 1 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*p**3 + 45*p**3 - 16*p**3 - 544*p - 253*p**4 - 1908*p wrt p.\nAnswer: -3036*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.4 (c) -10 (d) 20.48 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5034 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 468058152 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + (-21)\/(-9). Suppose -v*w - 3 + 47 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, -0.47, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 40*x**2 - 5*x - 22. Is j(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 129\/86*4501*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least as big as -46604\/3853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/7)\/j**(-1\/4))\/((j**(-2\/3)*j)\/j)**(-6\/23))**(-2) assuming j is positive.\nAnswer: j**(-417\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1221 + -1251 + -5 + 99\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 849, 855, 861, 867, 873, 879?\n\"Answer: 6*t + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u - 2)*(-2*u + 0*u + 4*u)*(-2*u + 3*u - 3*u)*(-5*u + 7*u - 8*u).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l**2 - l - 124. Let o(y) = -39*y. Calculate o(i(z)).\nAnswer: 429*z**2 + 39*z + 4836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.3, -5\/2, -20063 in decreasing order.\nAnswer: 0.3, -0.3, -5\/2, -20063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcg when three letters picked without replacement from cgxaga.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22677\/1588 + 12\/397. Find the common denominator of 91\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/1) + 1. Let l = 5 - k. Let i(w) = -w**3 + 3*w**2 - 4. What is i(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*12\/(-64)*2910\/873?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let s(r) be the third derivative of 0*r**3 + 0 + 13\/24*r**4 + 0*r + 24*r**2. Calculate c(s(v)).\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 41*w = 1494. Let g = -246 + w. Factor -48\/5*m**2 + 16\/5*m + 4*m**g + 0.\nAnswer: 4*m*(m - 2)*(5*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/8)\/(i\/i**(-5))*i**(-3)\/i*i*i**(-3\/10)*(i\/(i\/i**(-3)*i)*i**(7\/3)*i)\/(i**(-7)*i*i**7*i) assuming i is positive.\nAnswer: i**(-1481\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 7*x + 7. Let y be a(-5). What is the common denominator of (-65)\/2*y\/105 and ((-987)\/6)\/(-47)*34\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4629.721 - -4622. Let j = 0.279 - v. What is the third biggest value in j, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 - 6*y**2\/7 - 2*y\/7 + 6\/7.\nAnswer: 2*(y - 3)*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 8*w + 53 = 0, 41*s - 46*s + 2*w = -7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + z - 3*z**3 + 3*z**2 - 2*z**2 + 1 - 9 to t + p*z + j*z**2 + r*z**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43162324547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*o = 1699 - 18289 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1273 = 162. Suppose 0 = -34*p + 33*p + r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -499159, -998328, -1497503, -1996684, -2495871, -2995064, -3494263?\n\"Answer: -3*f**2 - 499160*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Suppose -4*j + 46 = -v*y, 9 = j - 3*y - 6. Let k = -1792 + 1799. Calculate the least common multiple of k and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 4*h + 4*h)*(-7211*h**3 - 57*h + 132*h - 75*h) as d + a*h + c*h**2 + z*h**3 + t*h**4 and give t.\nAnswer: 7211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -1, -145 in ascending order.\nAnswer: -145, -98, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 4*a, a = -0*a - 4*p + 22. Let j(z) = -a*z + 2 - 6 + z**2 + 4*z - z. Give j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45)\/(4\/(-10))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3 - 102*w**2 + 192*w + 800 = 0. What is w?\nAnswer: -2, 4, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704)*3*-2 - (0 + sqrt(704) + 0 + sqrt(704))) + -2 + -4.\nAnswer: -64*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1 + 1 - p - 6 + 8*p. What is the remainder when o(2) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7735*h**2 + 71*h**3 + 113*h**3 - 251*h**3 + 69*h**3 - 534*h**4 wrt h.\nAnswer: -12816*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00145319471 rounded to six dps?\nAnswer: 0.001453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 4)*(-1 + 2 + 1) - 5 + 6 + 2)*(-1 - 2 + 8)*(4*b - 4*b + 2*b).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + 0.11. Let b = -0.05 + q. Sort 2\/11, 4, b in descending order.\nAnswer: 4, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.53 + -22.3625. Round b to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10584 and 413?\nAnswer: 624456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*d + 2*p, 5*p - 13 = 4*d + 64. Let t = -4 - d. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 take away 0.9463?\nAnswer: 211.0537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + q**3)*((-3*q**2 + q**2 + 3*q**2)*(1 - 2 + 2) + (46 + 63 - 60)*(-2*q**2 + q**2 - q**2)).\nAnswer: -97*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -360836071.9 rounded to the nearest 1000000?\nAnswer: -361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 4*u + 0*u**2 + 2*u**2. Let w(b) = -7*b**2. What is y(w(j))?\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f**3 - 148*f**3 + 38*f**3.\nAnswer: -159*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 61*q**2 - 55*q + 728. What is z(30)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 - 8*h + 24. Suppose -185*g = -170*g - 75. Calculate the remainder when c(g) is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76))**2 + (sqrt(76)\/sqrt(4) + 4 + sqrt(19))**2.\nAnswer: 16*sqrt(19) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**4 - 1653*x**2 - 5*x - 4590. Let o(p) = -20*p**4 - 4958*p**2 - 14*p - 13768. Let w(f) = -14*l(f) + 5*o(f). What is the derivative of w(s) wrt s?\nAnswer: -8*s**3 - 3296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85302.17 tonnes in micrograms?\nAnswer: 85302170000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 800 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*f - 3243 = -24915 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1436 - 1436 + 5324*f in the form v*f + x and give v.\nAnswer: 5324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0652364 rounded to 3 decimal places?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 3395858.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -1 - -3)*1. Let q(l) = 2*l - 5. Let o(r) = -r + 1. Let f(c) = p*q(c) + 3*o(c). Is f(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*k - 22, -3*c = -0*c - 4*k - 22. Suppose 390 = 3*i - c*i. Suppose -2*y + i = 3*y. Round y to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 383114 and 16?\nAnswer: 3064912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(132\/(-30) - (1 + -7) - (-14534)\/(-7740)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*v + 112440 = 2903*v + 23844 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5 - 0. Suppose -4*w = -0*w - 5*g - 18, -2*g = -u*w + 31. Suppose -3*x - 2 = w. Is x bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2307341174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 82 + 782 + 3*f**2 + 350 in the form i*f**2 + o + m*f and give o.\nAnswer: 1214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2.5. Let v = 98 - 133.5. Let y = 36 + v. Which is the nearest to -2? (a) o (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1034.61 + -1039. Let d = -3.39 - q. Put -2\/17, d, 0.1 in descending order.\nAnswer: d, 0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 637989*w**2 + 339541*w + 3?\nAnswer: 1275978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let g be (-15)\/(-6)*(19\/5 + -3). Let p(a) = -7*a - g + 17*a - 6*a - 2*a. Calculate h(p(s)).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 4*m - 4. Let z be (-2 - -2) + 6\/2. Suppose 17 = 5*w - z. Let x(c) = c**2 + 2*c + 2 - c - 3 + 2. Determine w*x(t) + k(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -324, -446, -592, -774, -1004, -1294, -1656, -2102?\n\"Answer: -2*o**3 - 108*o - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y - 209*y - 426 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 46959653?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14 (b) 1 (c) 2\/19 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464323.\nAnswer: 311, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.26540099 rounded to 2 decimal places?\nAnswer: 4.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 343*c**3\/3 + 341*c**2\/2 - 2*c - 92. Factor f(l).\nAnswer: (l + 1)*(343*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0*w + 165. Suppose -g - 4*g = -w. What is the remainder when (-430)\/(-14) - (-4)\/14 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219719371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 48*l - 3. Let m(y) = 1105*y - 68. Give -68*j(q) + 3*m(q).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/(1116\/(-48) + (15 - -8)) + 5.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 - 92. Let j(y) = -1 + 75*y + i*y - 229*y + 80*y. Calculate j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.8 - 0.2. Let o = -28.56 - t. Let r = o + 0.55999977. What is r rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3297, -3192, -3089, -2988, -2889, -2792, -2697?\n\"Answer: -o**2 + 108*o - 3404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3405\/1816)\/((-12)\/(-8)))\/((-35)\/6)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(6\/5)*(z\/((z\/z**(-14\/3))\/z*z))\/z*z**(-1\/25)*z*z**19 assuming z is positive.\nAnswer: z**(1237\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + -10 - (2 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - -7 - (-84 + (50 - -23))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2854 not equal to -11.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (7 - 3) - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 1 - 206*i.\nAnswer: -206*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565 divided by -265?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 2*u, -x = x - u - 4. Solve 0 = 3*v + 1 + x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 3 + 25*p**2 + 3 - 18*p**2.\nAnswer: 7*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 106872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61386192 by 144.\nAnswer: 426293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6 - 4 + 157*t + 4 - 153*t - t**2. Let v(y) = 5 + y - y**2 + 3*y - y. Calculate -5*m(j) + 6*v(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*h - 2119 + 2559. Solve 88*x - 85*x - 20 = -2*n, 0 = x + h*n - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:13 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1400 - 1400 + 4036*r.\nAnswer: 4036*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(76) + (-5*(0 + sqrt(76)))**2 + 5*(sqrt(76)*-1 + 1)**2.\nAnswer: -18*sqrt(19) + 2283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -78. Suppose -4*c = -g*c - 630. Which is smaller: -209 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 v, and 1 e when four letters picked without replacement from veovoovvv?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 75*s - 206 + 41.\nAnswer: 75*s - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -97916*n + 97936*n. Suppose 2*k + 4*d + 44 = 0, -1 = -k + 5*d + 5. What is the remainder when 10\/4*k\/(-1) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.081 - 18.019. Let q = w - -18.6. Sort 0.4, q, -0.5 in ascending order.\nAnswer: -0.5, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r + 102*r - 25*r - 11*r.\nAnswer: 37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 - 119. Suppose -f*k - 19 = -503. Are -1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (15 - 3) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1008) + 0 + 4 + sqrt(1008) - 6*sqrt(1008)*-1*1.\nAnswer: 3 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Suppose 408 = -66*c + 100*c. Let a(l) = -10*l - 2. Give c*o(x) + a(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 67 = -221*u + 4833 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -1881*j**4 + 5433*j**3 + 819*j**2 - 537*j - 90 = 0.\nAnswer: -5\/19, -2\/11, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -1\/2*v**2 + 2 + 2*v. Let d = 7 + -5. Determine k(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1016 + -1011 + (0 + -10 - 0) + -1 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376697283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2773 - 3406 + 4*p + 1991.\nAnswer: 4*p - 4188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -56326 + 2\nAnswer: -56324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5) + (0 - (-6)\/180).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 23621.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1466*l**3*o - 4*l**3 - 2*l**2 + 6999*o wrt l.\nAnswer: 4398*l**2*o - 12*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52703 by 6.\nAnswer: -52703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/1260 + 2*c**5\/315 + c**4\/63 - c**2 + 10*c. Suppose h(v) = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15250 by 10274.\nAnswer: 7625\/5137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 1 = 4*z - j, -2*z + 5*j + 26 = 0. Suppose -41 = -6*t + z. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*i + 8 = -186*i. Is i smaller than -13\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffffffffsfffffsssf.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from weoeeyywwewo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*231.\nAnswer: -115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x + 77. Let p(b) = 11*b + 76. Determine -3*j(c) + 2*p(c).\nAnswer: -11*c - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 363.9222 nanoseconds?\nAnswer: 0.0000000001010895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*o + 10*o. Suppose 0 = 2*a - 58 + 22. Calculate the smallest common multiple of a and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -85*b**3 - 3*b**2 - b + 1. Let a be t(-1). Let l = a + -95. Let s be l\/((-99)\/(-6))*-3. Calculate the highest common divisor of 6 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.057613 (b) -20 (c) 11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 12*g = 12, 3*u + 48 - 3 = -157*g + 156*g for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35)\/10)\/(15\/(-30)). Let c(b) = -3*b**2 + 11*b - 1. What is c(l)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 117*f - 2977. Determine v(24).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61600 and 1914528?\nAnswer: 47863200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqd when three letters picked without replacement from {n: 1, k: 1, a: 2, d: 1, q: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245285 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -84, -84, -82, -78, -72?\n\"Answer: t**2 - 3*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*d**3 - 42.\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12109 - 12407. What is the closest to -2\/3 in 2\/7, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 125. Let j = p + 163. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321096 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -42. Let i = s + -15. What is the third biggest value in i, -0.2, -6\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 60 = 50*k + 55*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1652287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 + 2 - -1. Suppose 0 = 4*c + 7*c + 11. Let j = c - s. Put -1, 5, j in descending order.\nAnswer: 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7552.7608+-0.5\nAnswer: 7552.2608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*h = 4*h - 228, 0 = 5*o - 5*h - 315. Let u = 151 - o. List the prime factors of u.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -146.1 and -2.0949945?\nAnswer: 144.0050055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -632 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 + 3. Let u be h(-5). What is the derivative of -657*p**2 + 657*p**2 - 22 + 19*p**u wrt p?\nAnswer: 57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.1 - -0.1. Let j = l + 13.2. What is the smallest value in 1, -0.6, j?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*v + 43 = 39, -3*m + 5*v + 7 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgdq. What is prob of sequence qgd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 247, 486, 725, 964, 1203?\n\"Answer: 239*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191713 - 0.8?\nAnswer: 191712.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrsssssssrrsr. What is prob of picking 4 r?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/48 and -37\/318?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 22. Let l(d) = -d**2 + 21*d - 4*d**4 + d**2. Let c(k) = -k**4 + 4*k. Let r(z) = w*c(z) - 2*l(z). What is the second derivative of r(f) wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 238770 - 238770.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 594016 from -0.66666.\nAnswer: -594016.66666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 0*u**3 + 4*u**3 - 5*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 986 and 4698?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 14 = -3*h, 2*h - 22 = -3*r - 0*r. Suppose q = -4*n + 1 + 7, 0 = 4*n + 5*q + h. Solve 6 = n*j - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28 + -25 - -53) + -15 + 0 - -27) + 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -19. Which is greater: -8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*c + 6, c + 2*j = 7 + 2. Suppose 0*n + n - c = 3*q, 2*q = 0. Solve -2*x + 5 = n*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**5\/3 - 2215*a**4 - 2763901*a**3\/3 - 1148720*a**2 - 688900*a\/3 = 0.\nAnswer: -830, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263.18 - -343.5. Let u = v + 0.68. Let o = u + -84. Sort 0.34, o, -1\/6.\nAnswer: o, -1\/6, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -861748, -1723474, -2585190, -3446896?\n\"Answer: 5*r**2 - 861741*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**2 + 7 + f**3 + 6*f**2 + f**2 to r*f + v + g*f**3 + q*f**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3848041 (base 10) to base 6.\nAnswer: -214251001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378274679 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*p**3\/7 + 44*p**2 + 241*p\/7 + 58\/7 = 0. Calculate p.\nAnswer: -1, -58\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/21 and -71\/2058.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11354031061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*(-198)\/((-22)\/1)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:06 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (9 - 0) + 10 - -22 - -17\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/99 + 10\/55. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:00 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185560.\nAnswer: 2, 5, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 89*x**3 - 266*x**3 + 180*x**3.\nAnswer: 3*x**3 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -1, -223, 7, 3 in decreasing order.\nAnswer: 7, 3, 0.7, -1, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + w + 4*w**4 - w**4 + (-4*w - 2*w**2 + 4*w)*(11*w**2 + 12*w**2 - 14*w**2).\nAnswer: -15*w**4 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/11)*q*q**(1\/19)*q*q**(3\/10)\/(q\/(q**(2\/23)*q)))**(2\/15) assuming q is positive.\nAnswer: q**(44917\/120175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*y**3 + 4*y + 570 wrt y?\nAnswer: -201*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:25 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9925375 - 8?\nAnswer: -9925383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.774 - -0.074. Let w = -1.94 - 0.06. Let y = w - t. What is the second smallest value in y, -4, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/2)\/((-4)\/16*-2). Suppose -b - 67 = 2*c. Let w = c - -60. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8197, 16397, 24597?\nAnswer: 32797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - -0.6. Let n = 0.152 + 17.348. Let o = n + -17.6. Which is the nearest to o? (a) g (b) -7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 337 - 717. What is b rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 12*s**2 - 17*s + 7. What is the common denominator of 1 - (-2 + (-154)\/12) and p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 + 226. What is the remainder when 142 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5771, 5983, 6563, 7697, 9571, 12371?\n\"Answer: 31*n**3 - 2*n**2 + n + 5741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 1\/2, -0.09, -3\/2 in decreasing order.\nAnswer: 1\/2, -1\/16, -0.09, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -22 (c) 1\/7 (d) 0.5 (e) 0.067 (f) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*y**2 + 232314*y - 19899292 wrt y?\nAnswer: 18*y + 232314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from gqgdecddechdgh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -160, 4\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/24 + 5*d**3\/6 + 3*d**2 + 5*d. Let y(k) be the first derivative of z(k). What is the first derivative of y(w) wrt w?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 8*x + 9. Suppose g + g - 16 = 0. What is the units digit of q(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.2, -1, -9 in decreasing order.\nAnswer: 0.2, -2\/7, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -115258, -230445, -345562, -460603, -575562?\n\"Answer: q**3 + 29*q**2 - 115281*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.2211382.\nAnswer: 2.8747966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.10559, -0.2, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 2. Let y be 4*(3\/(-10))\/(-1). Let f = -39\/124 - -2\/31. Which is the nearest to 2\/7? (a) y (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237825181?\nAnswer: 11, 21620471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 - 11 + (1 - 1 - 2)*(-2 + 0 + 1))*(-1 - s + 1).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0.4, -100\/3 in descending order.\nAnswer: 5, 0.4, -5, -100\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 269\/2, -3, -49.265?\nAnswer: 269\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 18280*a + 870205.\nAnswer: -5*(a - 3703)*(a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7194 + 1949. What are the prime factors of w?\nAnswer: 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 2*z**2 - 2*z**2 + (8 - 9*z**2 - 8 + (-3 + 3 - 2*z)*(z - 3*z + 0*z))*(-5 + 4 - 2))*(-4 + 4 + 1).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-130)*115\/897.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 2*m**2 + 2*m - 2. Let o be k(-3). Let p(v) = -v + 11. Let s be p(10). What is the greatest common divisor of o and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 5 in increasing order.\nAnswer: -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -116. Suppose k*a + 19 = 47. Solve 8 = -a*j - 0*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -292 + 292.0229. Round w to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 123.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38992.87t in kilograms?\nAnswer: 38992870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8346.9732 plus 3?\nAnswer: 8349.9732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (-58 + 56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2987 + -2988. Which is the nearest to p? (a) 5 (b) 0.5 (c) 5\/2 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 6c?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuc when three letters picked without replacement from kuyuycyyyykyyykyyyy?\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*a = 35*a + 4094 - 22238 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*w = 7*w + 7, 0 = -5*c - 4*w + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.95 - -1.05. Let l = 2536 + -2536. Which is the closest to -1? (a) l (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 4, 5, -329, 42 in ascending order.\nAnswer: -329, -6, -4, 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 7*i - 2*i = 25, i = 3*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015 + 9*t**3 + 7*t**3 - 1015.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - -73 - (-40 - 0)) + -57 + 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 39 = 6*b. Let n = 19 - b. Put 4, n, 0 in increasing order.\nAnswer: 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3112959*k**2 + 7832162 wrt k?\nAnswer: 6225918*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 3*s**4 - 3*s**4 - s**4 + s**4 - 2*s**4 + (-2*s - s + 4*s)*(2*s**3 - 6*s**3 + 3*s**3).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12851423, 12851434, 12851445, 12851456, 12851467, 12851478?\nAnswer: 12851489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 98 = v, -4*h - v + 4*v = -129. Let q = h - 23. 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: Suppose -12 = -4*p - 0. Suppose p*w + 25 + 81 = 4*t, 3*t + 3*w = 69. Suppose -z - t = -3*s, 2*s + 2*z - 18 + 4 = 0. Solve g = -3*g + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/5 + 468*b**3\/5 + 54756*b**2\/5 = 0. Calculate b.\nAnswer: -234, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*2 - (-40)\/(-30)*3. Let g be ((-9)\/(-3)*-10)\/(-1). Let m(w) = g*w + 29*w - 58*w + a. What is m(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g**2 - g - 9. Let l be u(0). Let w(i) = -i**2 - 12*i. Suppose 6*r - r - 535 = 0. Calculate the remainder when r is divided by w(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, x: 2, d: 4, j: 1}. What is prob of picking 1 x and 1 d?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + h**2 - h - 1591. Let o be w(0). Let d = -659 + o. Let m be (-8320)\/6*d\/4. Round m to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 2*b. What is the third derivative of 0*j**2 - b*j**4 + 5*j**4 - 3*j**2 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 11*x + 6*x - 7*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1319396380 to the nearest integer?\nAnswer: 36323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 21*w + 44. Let u be f(9). Let o = u + -338. Let b = o - -113. What is the greatest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, 166788, 2\/23?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tolr when four letters picked without replacement from ojjltar?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -50*(-2)\/(-28) + (-27)\/(-9). Let d be (-1*(-5)\/(-10))\/(2\/8). Which is greater: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**7\/210 + m**5\/10 - 6*m**2 + 15. Let u(x) be the second derivative of f(x). Find the third derivative of u(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {x: 4, c: 2, m: 1, q: 1, r: 1, l: 11}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 197*l. Let a(y) = -995867*y. Determine a(m(r)).\nAnswer: 995867*r**2 + 196185799*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0280884995 to 6 dps.\nAnswer: 0.028088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3874, 7709, 11536, 15355, 19166, 22969, 26764?\nAnswer: 30551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -208, -1, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1733447 divided by -331\nAnswer: 5237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361656, -361657, -361658, -361659, -361660?\nAnswer: -361661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((1 - 5) + -12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1889*b - 24062. What is q(-12)?\nAnswer: -1394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 2*s + 18*d + 2, 0 = s + 2*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3758 = 7*j + 5062. Find the common denominator of (-3)\/(-7) - 9190\/j and 74\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/36 - 45\/18)*3\/(-2). Which is the closest to -1\/2? (a) l (b) -0.2 (c) -2.9 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 0.2, 3\/11, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -883 >= -1749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 772.847 years?\nAnswer: 0.772847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 8:48 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -238\/9? (a) -1 (b) 2\/3 (c) 165\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 97 = 17. Suppose -s*y + 15*y - 81 = 0. Solve 4*k - y = k + 3*f, -4*f = 3*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + 0.46. Let h = m + 0.1. Let r = -3.1 - -2.8. Sort -4, h, r.\nAnswer: -4, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1036*a**3 + 941*a**3 + 533*a**3)*(-1 + 0 + 3).\nAnswer: 5020*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.72 and 9.71.\nAnswer: 25.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {o: 1, i: 2, b: 5, z: 1, x: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -1\/2*t**2 - 5\/3*t**3 + 0 + 21*t. Let l(g) = g**3 - 3*g**2 - 1. Let f be l(3). Calculate m(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3982, 8461, 12962, 17497, 22078?\n\"Answer: 2*f**3 - f**2 + 4468*f - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2151397, -2151430, -2151491, -2151586, -2151721, -2151902, -2152135?\n\"Answer: -q**3 - 8*q**2 - 2*q - 2151386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*w - 22 = 0, l - 35 = 4*l + w. Let o(s) = 4*s. Let i be o(5). Let n = l + i. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 -9.7 plus 17.5?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2) + -3 + 6. What is the second derivative of 0*f + 3*f**4 - 4*f**4 + f - b*f wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 1 (c) 2 (d) -1 (e) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00068764224 rounded to six decimal places?\nAnswer: -0.000688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*6\/30*(-6)\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((2\/(-24))\/(14\/(-63)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r - 47*r - 65*r + 12*r - 41*r.\nAnswer: -112*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3237 and 53636.\nAnswer: 173619732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -4.5. Let n = 4 + j. Let l = 21 + -21.2. What is the nearest to n in -2, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379862 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.94703 centimeters?\nAnswer: 0.0000494703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -4768?\nAnswer: 19\/4768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 minus -243316635222?\nAnswer: 243316635243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-2*a**2 - 2*a**2 + 3*a**2) + 11*a + 2*a**2 - 11*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 270, 1684, 5364, 12438, 24034, 41280?\n\"Answer: 188*v**3 + 5*v**2 + 83*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -0.1, 8, 2, 4 in decreasing order.\nAnswer: 8, 4, 2, -0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 2*k**2 + k - k. Let s be a(-3). Suppose 55 + s = 2*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 18636 = -d - 18642, 0 = -2*n - 2*d - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**2 + 2210*j - 10. Let u(a) = 3*a**2 + 1106*a - 4. What is -2*g(k) + 5*u(k)?\nAnswer: k**2 + 1110*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - 9) + 6 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/14190 and -23\/16555.\nAnswer: 99330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*i + 25*i - 46*i + (4 - 1 - 1)*(-5*i + 2*i + i))*(-4 + 3 + 3 + (-3 + 2 + 0)*(0 - 1 + 0)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 30 - -18) + (0 - -9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4))\/(i**(-6)*i))**(1\/16) assuming i is positive.\nAnswer: i**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 17. Suppose 5*u = -5*o + 5, -4*o = -5*u - 5*o + 17. Let d be (6\/8)\/(u\/1296). What is the highest common divisor of d and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-52)\/(-20))*15. Let d = g - 1. Solve -25 = -d*b + 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 47. Let r be p(11). What is the common denominator of (3 - 80\/r)\/((-2)\/81) and (12\/(-10))\/(44\/(-125))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 19)\/(1 - 0). Let h be ((-5500)\/v)\/(1\/(-120)). Round h to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.691406 to 1 dp.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = 36*k + 126. What is the closest to 6 in 1\/3, 5, -61, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**8\/168 - l**7\/105 + l**6\/60 + l**5\/30 + 16*l**2. Factor j(v).\nAnswer: -2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1647042 or 1647040?\nAnswer: 1647040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let d(x) be the third derivative of x**6\/180 - 2*x**4\/3 - 9*x**2. Let p(z) be the second derivative of d(z). Determine p(r(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 2*n - 1. Let b be k(2). Let d = 7 - 4. Differentiate -2*w**d + 3*w**b - 1 + 0*w**3 with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 252*o + 52. Factor o*a**2 - 1\/2*a**3 + 1\/2*a**4 - 1\/8*a**5 + 0 + 0*a.\nAnswer: -a**3*(a - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029*s + 2212 = -8078 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000324574 rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 8*g**2 - 7*g**2 - 51 - g**2 - g.\nAnswer: -3*g**3 - g - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26076 (base 9) to base 5.\nAnswer: 1030230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 0*b**2 + b + 5*b + b**2.\nAnswer: b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -4*m**5\/35 - 81*m**4\/7 + 324*m**3 - 16038*m**2\/7 - 5202. Factor w(g).\nAnswer: -4*g*(g - 9)**2*(g + 99)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3089953515 to the nearest integer?\nAnswer: 55587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 50. Suppose 2*g = -3*l + 543, l = -n*g - 3*g + 1351. Let k = g + -150. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3075666 to the nearest integer?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b + 6 = 0. Suppose -3*f + 5 + 13 = 0. Let x(s) = 4*s - s**2 + 5 + 5 + 2 - f. Give x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 3624480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*h**2 + 190*h**2 - 187*h**2 + (-2*h - 2*h + 5*h)*(-h + 4*h - 5*h) to f*h + s + w*h**2 and give w.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000240368 rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a - 36 = 0. Let z(y) be the second derivative of -y**4\/12 - 2*y**3\/3 - y**2\/2 + 2*y. Let n be z(-3). Solve a = -n*t - t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25748453 is divided by 515.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -10152517.\nAnswer: 2\/10152517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 769709103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + 44 + (196 - 202)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - (-382)\/(-4). Let a = -74 - h. Suppose -6*y + a = -5*y. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*h = -4*v + 16, -23 = -3*v - 2*h. Suppose v + 109 = u - a, 4*a - 4 = 0. What are the prime factors of (-3)\/2 - u\/(-2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247372 by 14.\nAnswer: -123686\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7729.988l to millilitres.\nAnswer: 7729988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9\/l)\/(l\/l**(7\/2)))**(-2\/37) assuming l is positive.\nAnswer: l**(-21\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(539) + (sqrt(11)*-3*1)**2).\nAnswer: -495 - 105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010651212036 rounded to 6 dps?\nAnswer: 0.010651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 312*u**2 + 306*u + 427. Determine w(155).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 13. Suppose f + 4*f - 20 = 0. Let p = h - f. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 - 70. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:50 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2133309859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 16*h - 32 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -3514?\nAnswer: 3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 570, 564, 544, 504, 438?\n\"Answer: -m**3 - m**2 + 4*m + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/43, 60, -1\/5, 2 in decreasing order.\nAnswer: 60, 2, 1, 2\/43, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 482*j - 2922. Calculate m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b + 5. Let f(k) = k. Let c(z) = z**2 + 10*z + 17. Let g be c(-8). Give g*w(m) + 3*f(m).\nAnswer: -2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w + 8. Let a(g) = -g**3 - 2*g**2 - 2*g + 1. Let t be a(-3). Suppose -t = -4*k, -x + 2 + 5 = 3*k. Is p(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(5 - 2 - 1)*(-3*a + 5*a + 7*a)*(2*a - 2*a**2 + a**2 + 3*a**2).\nAnswer: -36*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42779 and 7205.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/116 (b) -16\/3 (c) 0.3 (d) -2\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i**2 + 5*i + 2. Let m(v) = 8*v**2 - 5*v - 2. Calculate -4*j(p) - 5*m(p).\nAnswer: -4*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386928?\nAnswer: 2, 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3623106 (base 7) in base 10?\nAnswer: -459675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92292799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Suppose -2*z + 2*q + 16 = 0, 2*z - h*q - 28 = z. Solve -12 = 5*w + z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p\/p**(-27)))\/p))\/p*p\/(p\/(p\/(p\/(p**(-8\/5)*p))*p)) assuming p is positive.\nAnswer: p**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03902 - 0.91282. Let n = -0.0142 + z. Round n to 2 dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -720557451360.\nAnswer: -720557451359.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240461 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + y - 1, -32*c + 5 = -27*c + 5*y. Solve c = -4*h + 5*m - 32, -5*h - 45 = -3*m - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/20)\/(-1*(-24)\/16). What is the third biggest value in a, -113, -0.1, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109*j**3 - j**2 - 120623*j + 100790325.\nAnswer: 327*j**2 - 2*j - 120623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 10, -3*f = 5*k + 28 - 555. Calculate the least common multiple of 6 and f.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*q**4 - 118*k*q**3 - 6*k*q**2 - 19*q**4 - 2*q**3 - 2*q**2 - 1755151 wrt q.\nAnswer: -48*k*q - 708*k - 456*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(((u*u**6)\/u)\/u)*u**(6\/11)*u*u*(u**(-1))**(-35)*(u\/(u**(-3)*u)*(u*(u\/(u*u**(4\/5)))\/u*u)\/u)\/(u**(-2\/5))**(6\/13) assuming u is positive.\nAnswer: u**(5138\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -13271\/25 and -530 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 = -3. Let h(w) = -9*w**3 - 13*w**2 + 11*w + 13. Let u(l) = 5*l**3 + 7*l**2 - 6*l - 7. Let n(d) = -6*h(d) - 11*u(d). Calculate n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*-3)\/sqrt(7).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 6:40 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 50.\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 y when three letters picked without replacement from {y: 5, t: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191979 is divided by 237935?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2441520 divided by -244152\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(2\/(-2))\/(-1). Let c = 1 + i. Solve -2*n + 4 = c, -g - 8*n = -4*n - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180580.9653 to the nearest 10.\nAnswer: 180580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1257201081 and -1035.1.\nAnswer: -1257202116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x - 3*i + 2, -x = 5*i - 31. Let z = x - 3. Let v = -16 - -15. Put v, z, 2 in descending order.\nAnswer: z, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1393927 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*m - 2*m + 7*m)*(2*m + 2 - 2) + 10*m**2 - m**2 - 5*m**2)*(16*m + 111*m + m) to the form d*m**2 + t*m + w*m**3 + h and give w.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21240 + -21216. Let a be 0 + -2 + 0 + 10. What is the greatest common factor of j and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -18*z**4 - 115*z**3 + 865*z**2 + 2052*z + 1076. Let o(f) = -5*f**4 - 38*f**3 + 288*f**2 + 684*f + 359. Let y(h) = 14*o(h) - 4*p(h). Factor y(m).\nAnswer: 2*(m - 19)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4486573148 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 2*l + 2. Suppose -2 = -3*h + 4. Let a(w) = -w**2 + 4*w - 1. Let p be a(h). Let c(s) = -s**3 - s**2 + 3*s + 3. Calculate p*d(f) - 2*c(f).\nAnswer: -f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97359 = -22*v + 494557 + 100266. List the prime factors of v.\nAnswer: 2, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220102221 + -1012?\nAnswer: -1220111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34482?\nAnswer: 2, 3, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (8 - 2) + 0 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + c + 17*c**2 + 12*c + 1 - 13*c to q*c**2 + k + r*c and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2705 (base 15) in base 12?\nAnswer: 49a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d**3 - d**2 + 2*d - 1. Let u be r(1). Let f(l) = 8 + 2*l**2 - u - 3*l**2 - 7 - 11*l. What is the units digit of f(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (3 - 5) - -55. Suppose -1 = -t + 2*f + 13, -3*t + 4*f + 32 = 0. Suppose -p = q - t*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = -18*q - 170 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 5*b**4\/6 - 4*b**3\/3 - 6*b. What is the second derivative of a(f) wrt f?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2. Let c(n) = -12*n**2. Determine c(o(v)).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p - p. Suppose p = -b + 5. Let n(x) = 3*x + 1 - 4*x - 3*x**2 + 5*x**2. What is n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 0*l**3 + 2 + 5*l + 2*l**4 - 3*l**3 to i*l**3 + d*l**4 + j*l + g + n*l**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -56262 divided by 3?\nAnswer: -18754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.336 and 0.22.\nAnswer: 0.07392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248595 and 4095.\nAnswer: 67866435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3041 divided by 1.\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a hour in minutes?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12461 * -64.\nAnswer: -797504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18772601 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459520254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65999 divided by 65999.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -497 - -496. Let u(x) = x**2 + 6*x + 3. Let g be u(-6). Let a(r) = -r + 1 + 7*r + 1 + g. Let k(q) = q + 1. Give f*a(w) + 5*k(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - -1 - (114 - 132).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1\/3, 4, 16, -3 in increasing order.\nAnswer: -3, -1\/3, 4, 16, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 + 4*k - 4. Let s(d) = -15*d**2 + 8*d - 8. Let a be ((-1)\/(-1))\/((-2)\/26). Let y(n) = a*t(n) + 6*s(n). Suppose y(x) = 0. What is x?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332762457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1451, -8322, -19773, -35804, -56415?\n\"Answer: -2290*q**2 - q + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.4604 + -1.5604. Which is the second smallest value? (a) 2\/3 (b) -0.05 (c) 3\/7 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**4 + 8*c**4 + 6*c**4)*(-3 + 3 - 2).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o - 65*o = 176 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1045 divide 364102035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 170954803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -188274.3 to the nearest one thousand.\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/2)\/r)\/r)\/(r*r*r*r**(1\/16)*r) assuming r is positive.\nAnswer: r**(-73\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, w: 7, g: 1}. Give prob of sequence wg.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -42717*g - 42882. Determine c(-1).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-25))\/(1243\/(-565))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/5 + 14*b**4\/5 + 56*b**3\/5 + 16*b**2\/5 - 48*b - 288\/5 = 0.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4.1. Let r be (-2)\/(-7) + (-3)\/35. Which is the second biggest value? (a) m (b) -1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 20397*j**2 - 27*j + 54. Let a(z) = 1569*z**2 - 2*z + 4. What is -27*a(h) + 2*q(h)?\nAnswer: -1569*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -137336?\nAnswer: -54934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.2 - 19. Let f(j) = -j**3 + 5*j**2 - 2*j - 4. Let l be f(4). Which is the smallest value? (a) l (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011101001011 (base 2) to base 11.\nAnswer: 40539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99356?\nAnswer: 2, 59, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1505 divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onv when three letters picked without replacement from nrtvooonotooooonooo?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, 1\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7351182 to the nearest integer?\nAnswer: 2711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 238, 335, 432?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l. Suppose -3*k - 6 = -3*a, -k + 4 = a - 0*k. Let v(g) be the second derivative of 152 - 152 + a*g - g**3. Give n(v(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 22 = 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8a59 (base 14) to base 13\nAnswer: -abc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2*y**3 + 6*f**2*y**2 + f*y**4 - 31*y**4 + 12*y**2 + 11 wrt y?\nAnswer: -12*f**2 + 24*f*y - 744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.08 + -0.08. Let u = -2 + i. Let a = u + -11.0004. What is a rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - 10. Let k be h(-6). What is the third derivative of -11*p**2 + k*p**2 + p**6 + 13*p**6 wrt p?\nAnswer: 1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 11 = a, 7 = 4*a + 2*m + 35 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21953 - -21964.0037. Let o = f + -11. What is o rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 3*d = -56. Suppose -4*u + 2 = 6. Put u, -5, 4, d in descending order.\nAnswer: d, 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 7. Let j = 13 - d. Solve j*q = 2*w, 0*w - 18 = -2*q - 4*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 812\/(-377)*(((-2)\/6)\/(8\/12))\/(-2).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 36 = 4*p, -3*p + 4*p = -4*g + 61. Suppose 412 = -14*s + g*s. Suppose -7*o + 4 + s = 0. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 20*d**2 + 37*d + 11. Determine x(18).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 2*u. Let o(h) = -20*h**2 - 36*h. Let x(a) = -2*o(a) - 36*y(a). Let s(v) = -166*v**2. Determine s(x(r)).\nAnswer: -2656*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 131 = -2*w, 4*d - 5*w + 213 - 46 = 0. Let j = d + 60. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25400373 to the power of 1\/2, to the nearest integer?\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 + 6*q**2 + 6*q + 7. Let x(i) be the second derivative of 1\/12*i**4 + 5*i + 1\/20*i**5 + 1\/2*i**2 + 1\/6*i**3 + 0. Determine l(v) - 6*x(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-26) + 2139\/299. Let w = o + -1. Let a(p) = p + 6. What are the prime factors of a(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3030 and 258055.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 - 144*d. Let l(j) = -10*j. Determine i(l(z)).\nAnswer: -400*z**2 + 1440*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 386516 divided by 26\nAnswer: 14866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*c + 13 - 3, -10 = -2*c - 2*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.67698um in millimeters?\nAnswer: 0.08367698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + b + b - 4*b in the form i + d*b and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**4 + j**2 + 2*j - 1. Let n(v) = -3*v**4 + 136*v**2 + 260*v + 4. Let f(g) = -n(g) - 4*u(g). Find the second derivative of f(z) wrt z.\nAnswer: -12*z**2 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6*d. Let t be d + 0 + (-2)\/(-3). Put t, -1\/4, 2\/5 in increasing order.\nAnswer: -1\/4, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/(-6) + (0 - 5). Let z(b) be the first derivative of -c + 0*b + 1\/3*b**3 + 0*b**2. Let y(w) = -16*w**2. Determine y(z(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8*(v*(v**5*v)\/v)\/v*v*v*(((v**(-2\/5)*v)\/v*v)\/v*v)**50)**(5\/11) assuming v is positive.\nAnswer: v**(225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. Suppose 4*t + 8 = 0, x*k - 20 = 8*t - 6*t. What is the greatest common divisor of k and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 3568*s**3 + s - 8352*s**3 + 4065*s**3.\nAnswer: -719*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1116.13761s?\nAnswer: 0.001845465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 130300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/93 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22962?\nAnswer: 2, 3, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003139092 to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*o - 5*m, -2*m + 9 = 3. Suppose -5*t + 19 = o*g, -g + 0 = 4*t + 9. What is the remainder when 108 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (708\/(-5))\/(12\/(-40)). Suppose t = -2*i + 6*i - 4*u, -587 = -5*i + 4*u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -2, -3\/2, -0.1, -0.076, -1, -1266?\nAnswer: -1266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116173278 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from xqxqxxxxxxxqqq.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**2\/w)\/w)**(-18)*w**0*(w**(1\/2)\/w)\/w)**21 assuming w is positive.\nAnswer: w**(-819\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 19 + 34. Let m = -29 - k. Let n = m - 11. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - 1. Are -22 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6 + 10 + g - 11 + 12. Let v be u(-14). Suppose -3*y + 15 = 4*b - v, 0 = -4*y - 8. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -2, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/60)\/(12\/16)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:04 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s + 217*s = 1573. Put s, 1, -247 in descending order.\nAnswer: s, 1, -247","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(91)\/sqrt(7) + 5 + 5)**2 + (sqrt(13) - (sqrt(13) + sqrt(325) + sqrt(13) + -3) - sqrt(117)\/sqrt(729)).\nAnswer: 161*sqrt(13)\/9 + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/8 - 5\/(0 + -20). Let z = u - -1\/2. Let w = 0.02 + -4.02. Put w, -2, z in descending order.\nAnswer: z, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 390 and 1061634.9.\nAnswer: 1062024.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1095*u**2 + 580*u - 580*u.\nAnswer: 1095*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 4. Let z(y) be the third derivative of -y**6\/120 + y**5\/20 - y**4\/12 + y**2. Let q be z(3). Calculate b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(500)*3 + sqrt(500)))\/sqrt(10))\/(sqrt(250) - (sqrt(250) + sqrt(250) + (sqrt(250) - (sqrt(250) + -2*sqrt(250)))*5)).\nAnswer: 4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80080 divided by -182?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 10*q**2 + 4*q - 2. Give x(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6 - 2 = -a, -3*a = -y + 12. Let r be y + -2 + 2*99. Suppose -2*c + r = -6*c. What is c rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125755 - 66275. Is 18\/42 - (q\/(-14) - 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 rk when two letters picked without replacement from {r: 2, q: 1, e: 5, k: 1, u: 8}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 94 = -5*z + 267, -z + 31 = -2*r. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 1. Suppose 5*d = 4*d + 1. Let c(n) = 4*n**2 - n - 3. Let f(p) = p**3 - 12*p**2 - p + 15. Let l be f(12). What is d*c(j) + l*k(j)?\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 126\/399 - 1218\/1330\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -12. Let w = -33 + 34. Put w, a, 3 in descending order.\nAnswer: 3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**3 - 2*l**2 + 84*l + 5. Let f(m) = -6*m**3 - m**2 + 84*m + 4. Let h(d) = 4*c(d) - 5*f(d). Find the second derivative of h(z) wrt z.\nAnswer: 36*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 4*f**6\/3 + 5*f**3\/3 - 1. What is the third derivative of d(n) wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a**(-39)*(a**33\/a*a)\/a*a*(a\/(a**(-44)*a*a))\/a)**48 assuming a is positive.\nAnswer: a**1296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6308*q*v**2 - q*v + 112*v**4 + 3*v - 151955 wrt v.\nAnswer: -12616*q + 1344*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 13581.\nAnswer: 6790.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 + 13*r**3\/4 + 65*r**2\/4 + 51*r\/4.\nAnswer: -r*(r - 17)*(r + 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4662 and 9102?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-6))\/((-2)\/13323). Let m = 124401\/14 - i. Calculate the common denominator of m and -2 - 3\/((-6)\/(-49)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 7*h + 2. Let i be k(-7). Suppose 3*z - 2*z = i. Let n be (35\/(-10))\/((-2)\/4). Solve -n = s - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 8*g - 1. Give f(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a + 1. Let z be n(3). Suppose 5*b + 5*j = 2*j + z, 2*b + 4*j - 32 = 0. Solve 2*k + p - 2*p - b = 0, 3*k + 3*p - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 + 4. Let a(y) = -4*y**2 + y + 3. What is 4*a(z) - 3*o(z)?\nAnswer: -z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 0.0402?\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001010000111000 (base 2) to base 16.\nAnswer: 29438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389516771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1137731?\nAnswer: 1137734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus -2.95?\nAnswer: -10.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = 0, -4*q + 1165 = 5*y + 1190 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.58 rounded to 0 dps?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1464*s**2*t**3 - 4*s**2*t + 12*s**2 + 2*s*t**2 - 22*s*t - 2*t**4 + 2*t wrt t.\nAnswer: 8784*s**2*t + 4*s - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-26) - 123\/205*(-20)\/4.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k**3 + 23*k**3 + 18*k + 35*k - 12*k**3 as y*k**3 + t*k + r*k**2 + s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 2*a**2 - 2*a - 1. Let s be d(-2). Let t be 0 + 6\/21 - 0. What is the biggest value in s, -0.3, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83.37 - -81.4705. Let q = v - -1.94. What is q rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171159 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + t + 15 = 0, -t = 4*c + 197 - 198 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 - 3*v + 2. Let p be c(1). Let n(x) = x**3 - 5*x**2 + 4*x + 5. Let z be n(p). What is the highest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 + -2778701039?\nAnswer: -2778700297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11132611\/23 or -484028?\nAnswer: -11132611\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000070346807 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/(-8) + (-6)\/(-48). Suppose 1 + 9 = 5*w. What is the second derivative of 3*b + d*b - b + 2*b - 10*b**w wrt b?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b**2 - 17*b - 17. Let r be k(-1). Solve 3*s = -s + r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/1*(-19)\/57. Let o(r) = -10*r**2 - 2*r**2 + 4*r**c. Let n(t) = -2*t**2. Calculate o(n(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*6*-4)\/(sqrt(54)\/(-6*(sqrt(6) + sqrt(150)))).\nAnswer: 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 - 424986 - 424924 + 849910.\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5*d + 25, -4*z - 2*d - 2*d - 12 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 798*i**2 - 41853*i + 41052.\nAnswer: 3*(i - 44)*(i - 1)*(i + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*(3 + 10 + (-6213)\/109).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 x, and 1 i when four letters picked without replacement from xxxxcxcicixxxcxcxcii?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - y + 2*y**2 + 0*y + 18 + 38 to the form h*y + n*y**2 + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*w**5 - 184*w**4 + 49*w - 57.\nAnswer: -760*w**3 - 2208*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -14, -3, 31.\nAnswer: -14, -3, -1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 86. Sort -5\/27, -2\/13, -0.1, d.\nAnswer: -5\/27, -2\/13, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 1176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 + 230*q**2 - 962*q - 1190 = 0. Calculate q.\nAnswer: -119, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2685 is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/3 + 1178*a**3\/3 - 4736*a**2\/3 + 4744*a\/3 = 0 for a.\nAnswer: -593, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209178 is divided by 6736?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3008 and 2444.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*s**3 + 173*a*s**2 + 13*a - 4*s**3 - 1807*s**2 with respect to a.\nAnswer: -2*s**3 + 173*s**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 10, -5*h - 20 = -3*s + 25. Let z be ((-1)\/(-2))\/(h\/12). What is the closest to z in 0.5, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-21 + (17 - -34) - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173.7 - -4.3. Let z = 167.32 - x. Let g = z - -11. Round g to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2140303 (base 6) to base 10.\nAnswer: -106383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 5 (c) 2 (d) -0.1 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -465*f + 851. Let s be b(2). Is -635\/8 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -355.72 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 48. Suppose 0 = 6*f - 3*f + k. Let q be (f\/6 + 2)*-9. Solve 2*i + 0 = w - 1, -i - q = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5672119 = 5671943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4332?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32205 + 4?\nAnswer: 32210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 411 - 411. Suppose -2*y + 9*y - 35 = 0. Suppose -y = -l - 2*x, -x = 3*l - l - 1. What is the second biggest value in -0.1, l, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a + 3. Let n(m) = -8*m**2 + 11*m - 7. Let g(j) = -14*d(j) - 2*n(j). Determine g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 93034637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 3:50 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 4, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at least 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013222301 (base 4) in base 8?\nAnswer: 1075261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-1200)*(-20)\/(-90)*-12?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1.1, -1\/5, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1*(-11)\/2. Is 4\/22 + (-1197)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -726 - 405. What is the greatest common divisor of t and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/6 - -4)\/((-8)\/84). Suppose -5*h = r*z - 3*z - 232, -3*h = -z - 146. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 4872.\nAnswer: 126672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {h: 1, k: 2, d: 2, x: 1, r: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2884 - 2883.7. Put -6, r, 0.1, 1\/4 in descending order.\nAnswer: r, 1\/4, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 175?\nAnswer: 4\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqhhhqh. Give prob of sequence qhh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + 2*a - 12. Is y(-6) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*l = -21. Let k = l - -26. Let j(x) = 7*x - 11*x**2 - 8*x**2 + k*x**2 + 6 - 9*x**2. What is j(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1\/(((-368)\/69)\/16))\/(2\/(-16))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 521349 or 521321?\nAnswer: 521349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-26*(-4)\/(-416))\/(19\/4))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-154)\/(-8) - (-15)\/20. Solve -4*o = -0*o + z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 11924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/108 and -74\/377055?\nAnswer: 1508220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49569 + 49569 - 43*h**2.\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4564 - -1867.\nAnswer: 1869.4564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p = 3*c + 9, 2*c + p - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 39 = z - 4*z, 3*z - 9 = -3*k. Suppose 4*b + 6 + 24 = m, -3*b - 28 = -m. Calculate the remainder when m is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 9*k + 18. Is o(-18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 23*i - 60. Let g be x(6). Suppose -5*p = -1886 + g. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)\/(j*j\/(j*j\/(j\/j**5*j))))**(15\/8)*(j\/j**(1\/8)*j**4*j)\/((j\/(j*j\/(j\/(j\/j**(-5)))))\/j**6) assuming j is positive.\nAnswer: j**(1237\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*b - 6 = -1578*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*q - 1944, 4*o = 3*q + 2*q + 2556. Does 43 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 231737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 9*t + 131. Give h(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24237 + -24233.2. Let b(q) = -q**3 - 4*q**2 + 7*q + 6. Let o be b(-5). Put 4, o, r in descending order.\nAnswer: 4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010011100101111110 (base 2) to base 9\nAnswer: -1560774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqsqqqqqc. What is prob of picking 1 q and 2 c?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981123.\nAnswer: 3, 11, 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45766*j**4 - 2*j + 29547 wrt j?\nAnswer: 549192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -29*f**2. Let s(u) = -46451*u**2 + 10. Calculate s(d(g)).\nAnswer: -39065291*g**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-13)*c*c**22)**31)**(1\/6) assuming c is positive.\nAnswer: c**(155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 33685.71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1403340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 148*j**2 + 450*j + 2177. Let n be d(-145). Let r = -16 + 22. Suppose 18 + r = 2*q. Solve n*x = b - 11, -5*x = b + q - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19934*9\/15*(-25)\/(-30). Let p = -5568 - k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -94. Suppose -4*m + 69 = -w, -4*m = -0*m - 2*w - q. What is the greatest common factor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118062310 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**2 + 4*m**2 - 4*m**2)*(-12*m + m - 12*m) as i*m**3 + x + n*m + c*m**2 and give i.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 11:33 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 23 + 13 - 52 = 0. Solve -k + 10*j - 11*j - t = 0, -2*j + 5 = -k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(300) + -1) + (sqrt(300) - -2*(-2 + sqrt(300)) - sqrt(300)) + -5)**2.\nAnswer: -880*sqrt(3) + 4919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 3872*a + 3. Calculate the smallest common multiple of (-4)\/(-6) - 512\/(-6) and n(0).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 + -172 + -4 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**30\/x*x)\/(x**(-2\/17)\/x*x)*x\/x**(-15)*x**(-2\/53) assuming x is positive.\nAnswer: x**(41518\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 412 = -2*f, 150*x + 5*f + 2075 = 155*x. Calculate the highest common divisor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266034, 1064232, 2394600, 4257138?\nAnswer: 6651846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t*t**20*t))\/(t*t**(2\/13)*t))\/(t**24\/(t\/(t\/t**12)*t)) assuming t is positive.\nAnswer: t**(-470\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 1. Let j be 35\/(-87) + (-6 - 171\/(-27)). Which is the third biggest value? (a) k (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 16?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (39 + -83 + 73)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(-1 + -4 + 0 + sqrt(405)))**2 + 4 + -5.\nAnswer: -702*sqrt(5) + 3813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9407615 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4851300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3 - 3)*(18*h - 12*h + 24*h).\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1017664289*b**2 - 806862395 wrt b?\nAnswer: 2035328578*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 14*r**2 - 30*r - 67. Let j be g(-12). Let w = 1 + 1. Suppose -w*n - 3 + 31 = 0. Solve -n = -4*d - j*i, 10 = 4*d + i + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-2\/11))\/(d\/d**(-1\/33)))\/(d*d*d**(2\/13)*d*d)**18 assuming d is positive.\nAnswer: d**(-31582\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + (-192)\/54 - (-2839)\/(-1224)*-8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12*a. Let c = 43 - 45. Calculate n(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407278+-0.1\nAnswer: -407278.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m + 12. Calculate the least common multiple of c(0) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 13*a**2 + a**4 + 1 - 2*a**3 + 14*a**2 + a**4 + 0 to the form r*a + s + q*a**3 + v*a**4 + u*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -1 - (74 + -82)) + -6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 4*q**2 - 3*q - 1. Let t(j) = -2*j**2 - 6*j + 6. Let f be t(1). Determine s(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -140 and -139 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 369 + -364. Solve 3*u - 13 = 2*u - 2*b, -u = -o*b + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 12 + 9 + -21 + 11 + -27\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + ((-15)\/(105\/(-959)))\/((-602)\/4). Is 1\/3 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14*2\/4)\/(-213). Let q be (-1)\/(-4) - 980761\/80940. Let g = i + q. Find the common denominator of g and -95\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.3. Let x = 0.8 + -0.6. Let i = -0.1 - x. Does s = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22208053987211\/219725 + 101072040. Let y = 3\/1175 + p. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -368472 greater than -368472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1042 divide 47017425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13468, -13477, -13498, -13537, -13600, -13693, -13822, -13993?\nAnswer: -14212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 8.\nAnswer: 59\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3895502\/9 - 1307527\/3. Let x = w + 3013. Calculate the common denominator of x and -4\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 5*q + 40. Let j be l(-8). Suppose 5*f - 2*z - 14 - 12 = 0, f = 4*z + j. Solve 5*d + 6 = h + 27, -f*d = -3*h - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-30)*6 + (-8)\/1. Let g be (4\/w)\/((-32)\/(-168)). Which is the second biggest value? (a) 2 (b) g (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -38.8, 0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 186614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -2\/65, -9, -1\/9, -20?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6284)\/(-9426))\/(12\/(-1)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -556 (c) -5 (d) -0.5 (e) -0.1 (f) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c - 6. Let q be s(-7). Let l(t) = -t**3 - t**2 + t - 306. Let r be l(0). Let n = -126 - r. Calculate the greatest common factor of n and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 44. Let i = -14.005 + p. What is i rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -17. Let x(p) = 5 + 2*p**r - 7 + 2. Let q(g) = -8*g**2. Determine x(q(l)).\nAnswer: 128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nno when three letters picked without replacement from bnnjifbjbonbbbj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -38*p - 798. Let r be k(-21). Which is smaller: r or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-4*w + 6*w - w) - 7*w + 3*w + 2*w + 42*w - 1 + 1.\nAnswer: 41*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 - (-10758225)\/(-25). Is w\/(-126) - 4\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 50 = 5*s, -5*s = 4*k - 19 - 21. Find the second derivative of k - 4*y**5 - y - 10 + 6*y**5 wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 2*o**5\/5 - o**3\/6 + o**2\/2 + 7*o. What is the units digit of k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7 - 1. Factor -4*i**2 - 14*i + 26*i + 8 + 6*i**3 - 4*i**g - 6*i**3 - 12*i**3.\nAnswer: -4*(i - 1)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -369261752?\nAnswer: -369261752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 2)*(-46 + 43 - 174)*(-3*i**2 + 3*i**2 - 2*i**3)*(-2 + 1 + 0) as t*i**2 + o*i + v + u*i**3 and give u.\nAnswer: 1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -3, -96129, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (6 + -1 + -7) - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -241, -273, -305?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*c - 122 = 0, -5*c - 3 - 2 = 0. Suppose 4*p = -6*p + u. Calculate the remainder when 113 is divided by 1\/p*0 + (-95)\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1008933, 2017865, 3026797, 4035729, 5044661?\n\"Answer: 1008932*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -81337 times 3.2?\nAnswer: -260278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -3\/2725873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chfw when four letters picked without replacement from {l: 1, h: 1, f: 2, c: 1, s: 1, w: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/7)\/((x*x\/x**(2\/7)*x)\/x)*x**(-4)\/(x**7\/x*x)*(x\/(x**(-1\/2)\/x))**(-9\/7)\/(((x\/x**(4\/9))\/x)\/(x**(-1\/3)*x)) assuming x is positive.\nAnswer: x**(-1903\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1459712, 1459713, 1459714, 1459715, 1459716, 1459717?\nAnswer: 1459718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - d**2 + 3*d + (3*d - 3*d + 2*d)*(-d + 4*d + 2*d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 4, u: 5, i: 4, h: 1}. Give prob of picking 3 d and 1 u.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14002 = -2035. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4343364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, r: 3}. Give prob of sequence rbrb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/x*x**(1\/4)*(x*x*x**0*x)**(2\/57))\/((x*x*x**(-6)*x**(-1))\/((x*(x\/x**(2\/3))\/x)\/x*x*x*x**(4\/3)\/x)) assuming x is positive.\nAnswer: x**(1487\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -39*d**2 - 4*d + 12. Let g be q(-5). Suppose 3*m - 434 = h, -4*m + g + 206 = -4*h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 416*t**2 - 351*t + 260. Let k(s) = -13*s**2 + 11*s - 8. Let b(m) = -65*k(m) - 2*n(m). Let p(i) = 6*i**2 - 7*i. What is -4*b(l) + 9*p(l)?\nAnswer: 2*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q*q**1\/q)\/q*q*q)**(-6)*(q**(-2\/3)\/q)\/(q**(-4)\/q*q))**(35\/2) assuming q is positive.\nAnswer: q**(-2275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 5, 0.6, 2, 4, 0.5, -4.\nAnswer: -4, -8\/7, 0.5, 0.6, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1387556, 1387554, 1387552, 1387550?\nAnswer: 1387548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 2. List the prime factors of p(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 4 (b) -4\/3 (c) 12 (d) -0.3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**2 + 85*m + 90 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 3586*o**2\/5 - 90161*o\/5 - 411654\/5.\nAnswer: (o - 3611)*(o + 6)*(o + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucxjccxc. Give prob of sequence uxxc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 153, 311, 471, 633, 797, 963, 1131?\n\"Answer: v**2 + 155*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/867 and ((-3)\/(-12))\/((-50490)\/18720).\nAnswer: 9537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 11:29 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 8 = 45*h + 5*o, 4*h + o = -20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 6, 1 in decreasing order.\nAnswer: 6, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36112 and 127215805?\nAnswer: 2257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66513561 or 0.2?\nAnswer: 66513561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*p = 9, -3*p - 6 = -4*i - p. Suppose i*h - 1772395 = 567605. What is h rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1175*q**2 - 362*q - 33. Let h(g) = -235*g**2 - 72*g - 6. Let d(t) = -11*h(t) + 2*i(t). What is the second derivative of d(l) wrt l?\nAnswer: 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491355?\nAnswer: 3, 5, 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:49 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 427095?\nAnswer: -427094.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from wwwwwtwwtytywtyw.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -4\/62889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 3*o**2 + 2*o**2 + (2*o - 2*o - o)*(-3*o + 4*o - 3*o) - 3*o**2 + 3*o**2 - 2*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 271*v + 380 wrt v.\nAnswer: 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k**4 + 18411*k**3 + 12249*k**2 - 42939*k + 12270 = 0. What is k?\nAnswer: -2045, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28327268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -14. Let l = b + 12. What is the highest common divisor of l and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122200100 + -2?\nAnswer: 122200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 + 14\/6. Let o = t + -5. Suppose -2*j = 4*x - 26, 3*x + 2*x + 5*j - 40 = 0. Sort 1, x, o in increasing order.\nAnswer: o, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 4*r**2 - r. Let t be j(-4). Let y be ((-24)\/60)\/(2\/(-2070)). Suppose 0 = -3*i + 5*u + y, -4*i + t*u = -0*u - 560. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 21, 53, 109, 195, 317, 481, 693?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 5*f + 1. Let g be c(5). Let j be g*(-2 + 1)*6. Let u(y) = -2*y - 9. Let s be u(j). Solve -1 = -a - s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = -3*i, 3*f = 2*i + 50 - 63. Solve -86 + 86 = -i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 + 15 = 0. Suppose -14 = -3*x - r. Suppose 3*k + 145 = 2*y - 137, x*k - 564 = -4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 16. Let b be 3\/(-10)*8\/(-60)*5. Which is greater: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + p - 1, 15 = -0*p + 5*p. What is the smallest common multiple of ((-6)\/(-10))\/(v\/(-10)) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/((-142)\/723) + 5 and 39\/8?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/12*((-1494)\/168 - -9).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 112550?\nAnswer: 337650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3 + 5586*o**2 - 7922289*o + 337851404 = 0.\nAnswer: 44, 2771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (128*l - 334*l + 211*l - 110)*(2 + 3 - 3) - 6*l - 15*l + 15*l as m + h*l and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l + 273*l = -176*l + 3384 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373 + -356. Calculate the common denominator of -151\/6 and -7 - ((-9741)\/108)\/f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose 44 = f*n + 2*s - 6*s, 50 = 4*n - s. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = 2*m. What is the second smallest value in m, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 216 = -34. Let z = -86 + r. Solve z*w - 2 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36609, -146422, -329443, -585672, -915109?\n\"Answer: -36604*z**2 - z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -1002003?\nAnswer: 1002031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = m - 54, -2*q - 246 = -4*m + q. Suppose k = 6*k + m. Let i be (6\/8)\/((-3)\/k). Solve -7*j - 4 = -i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1873758*h**3*m*s**2*z + 51222*h**3*m*s**2 + 4*h**3*s*z + 9*h*m*s + 2*h wrt z.\nAnswer: 1873758*h**3*m*s**2 + 4*h**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: da (base 16) to base 6\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Let u = -1 - -6. Which is the closest to 0? (a) -2 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((3\/35)\/((1584\/(-33))\/(-336)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5780147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*k + 8361 = 0, -73*m - 4*k - 12553 = -76*m. What are the prime factors of m?\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -5*a**8\/2352 + 11*a**7\/1470 - a**6\/420 - 33*a**2. Factor k(c).\nAnswer: -c**3*(c - 2)*(5*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5*x + 5, 2*z + 52 = 5*x + 69 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6889 - 3071. What are the prime factors of u?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -103. Let c(y) be the first derivative of -2 + k*y - 2\/15*y**3 - 1\/5*y**2. Factor c(s).\nAnswer: -2*s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/321679?\nAnswer: -2\/321679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 16 (c) 14 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 11101111010101?\nAnswer: 11101111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.975 or -0.383?\nAnswer: -18.975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 17*b**3\/3 + 3*b**2\/2 + 3*b - 11. What are the prime factors of j(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 6:37 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(132)*2 - sqrt(132))*6*-2)\/((5*-1*sqrt(36) + sqrt(36))\/((sqrt(144)\/sqrt(4))\/sqrt(12) + sqrt(3))))**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 268265022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 divided by -9978.\nAnswer: -311\/9978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**3 + c**2 + 5*c + 3. Let p be h(-2). Let o = 38 + -11. Suppose o = 4*y - p. What is the remainder when 51 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 2 - 2. Let q = -21 - -49. Let f be q\/(-49) + (-3)\/7. Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-2 - 8) - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 587.2 + -587.1999993342. What is h rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 2:18 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15498 and 567991368?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 2*p - 13. Determine o(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-65)\/15600 + 4 + (-2148)\/16.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2. Let l(t) be the first derivative of -t**3\/3 + 5. What is l(v(n))?\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Let l be q(5). Let u = 0.4 + 2.6. Let g = -63.07 - -60.07. Which is the nearest to u? (a) 2\/5 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5307?\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + -4.5. Let u = c - -6.2. Suppose 33*s - 8*s = -9*s. What is the closest to s in -0.3, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*d**4\/6 + 52*d**3\/3 - 12*d**2 - 144*d - 72 = 0. What is d?\nAnswer: -2, -6\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 13*v**2 + 23*v + 6. Determine h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x - 18. Let k be i(-8). Let s = 38 - k. Suppose v + 2 - 69 = s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 5:25 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 10 + 2 + 3. Solve 4*g + g - b = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42875\/6 + 1295\/4*j**2 + 1\/12*j**4 - 50225\/12*j - 107\/12*j**3.\nAnswer: (j - 35)**3*(j - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6581964, 6581968, 6581972?\n\"Answer: 4*p + 6581960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 3*k**4\/4 - k**3\/6 - k**2\/2 - k. What is the units digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 164\/48 + -4 - 0. Let p = l - -1\/4. Let z = -172\/3 + 56. What is the nearest to p in z, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. What is the second derivative of 0*j - 3*j - j**k - 5*j**2 + j**2 wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14517932 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b**3\/9 + 451234*b**2\/9 - 90248*b\/3 = 0. What is b?\nAnswer: -45124, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -940, -821, -744, -721, -764, -885, -1096, -1409?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3609940\/3 at least as big as -1203313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.8562 millennia in decades?\nAnswer: 92985.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = -3*z, -116*i + 118*i + z + 6 = 0. Sort 0, 81, i.\nAnswer: i, 0, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -1.1. Which is the closest to 2\/3? (a) 1\/9 (b) -0.01 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 10*y - 11. Let c be i(-11). Suppose t - 8 = -c*t. Let r = 11 - t. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 21. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*d + 5*d - 53, 109 = 4*v - d. Let l be (36\/(-15))\/((-6)\/100). Let g = l - v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1331) + 0)**2 + sqrt(77)\/(sqrt(847) + -1*sqrt(847) + sqrt(847)).\nAnswer: -1209*sqrt(11)\/11 + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3884161 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4 - -2) + -1. Let d be h - (0\/3)\/1. Is (-34)\/(-1) - (d + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*n + 2098 - 487 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 748 and 1564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 - -9 - (124 + -113) - (11 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, -171, -457, -847, -1335, -1915, -2581, -3327?\n\"Answer: g**3 - 61*g**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 891410?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 8*m + 432. Let o be 1 + -1 - (m\/(-21) - 2). Let t = -0.1 + 1.1. Which is the third biggest value? (a) t (b) o (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-840)\/((-3660)\/61) - -1*(-29)\/2. Suppose 5*o + 0*o - 2160 = 0. Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v**4*v)\/v)*v*v**(-7)*v**(1\/8)*v*v\/(v**(9\/2)*v) assuming v is positive.\nAnswer: v**(-107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 2. Suppose 2 = 3*z - 4. Let u(c) = 3*c - 6 + 3*c - 4*c**z + c - 2*c. Let g(m) = -5*m**2 + 6*m - 7. Calculate k*g(p) + 7*u(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3935 or -3933?\nAnswer: -3933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -10264318.596?\nAnswer: 10264319.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}