diff --git "a/data/dm_maths/full_data/8581_11255.jsonl" "b/data/dm_maths/full_data/8581_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/8581_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round -162781316.3 to the nearest 100000.\nAnswer: -162800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1712 = -5*r + 4*p, -2*p + 1281 = 5*r - 443. Suppose 4*j + 0*j = r. What is the remainder when j is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101ba9 (base 12) to base 14.\nAnswer: -67d17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -12*j**2 + 13 + 6*j**3 + 3*j**2 + 3*j**2. What is the second derivative of c(l) wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 35 = -2*i - 3*h, -20 = -4*h. Let z(w) be the first derivative of 2*w**3 + w**2 - 1 + 3\/2*w**i + 2\/5*w**5 + 0*w. Factor z(n).\nAnswer: 2*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1759 + -1767. Let y(a) = -5*a - 16. Let f(u) = -4*u - 17. Let g(d) = -4*f(d) + 3*y(d). Is g(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfv when three letters picked without replacement from ffvfvf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91426.6 tonnes?\nAnswer: 91426600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7412 + 7922. Calculate the remainder when q is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26354?\nAnswer: 2, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*l = 239*l + 4416 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 - 1093*f - 2172. What is v(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15791010 and 3?\nAnswer: 15791013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10210923 is divided by 2552722?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-6) - 24\/36. Suppose -2*x + 5 + m = 2*c, -c + 11 = 3*x. Suppose 2*d = d + 4. Is c equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let h = 52 - 48. Let n = h - i. What is the second smallest value in n, -4\/5, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = -70. Let p(u) = -1 - u**2 - n*u + 5 - 1. Let g be p(-13). Let s(a) = a + 4. Give s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11359*q**2 + 4*q - 24. Let z(o) = 488433*o**2 + 171*o - 1026. Determine 171*s(c) - 4*z(c).\nAnswer: -11343*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, -4, -12512 in ascending order.\nAnswer: -12512, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5\/6 (b) 1 (c) -218889\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 5*t + 2*t**2)*(249*t**2 + 33*t**3 - 249*t**2).\nAnswer: 66*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 10460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1117 by -6712.\nAnswer: 1117\/6712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:40 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.49022444 rounded to three dps?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - f - 5*f)*((3 - 1 - 3)*(-9 - 2 + 1) - 2 - 1 + 2 - 1 + 0 - 1 + (1 - 1 + 1)*(-3 + 0 + 5)) to the form m + d*f and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 - 9*b**2 - 18*b - 34. Let a be c(-2). Sort 33, a, 0, -5, -3 in descending order.\nAnswer: 33, 0, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*z**3 - z - 99*z**3 + 3*z to the form k*z**3 + y*z + h*z**2 + q and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -13, -14, 0, -3 in decreasing order.\nAnswer: 3, 0, -3, -7, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 677*s**3 + s**2 + 3*s + 1. Let m(a) = -692*a**3 - a**2 - 4*a - 1. Calculate -4*m(b) - 5*t(b).\nAnswer: -617*b**3 - b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y**2 + 2. Let l(w) = -2*w**2 - w + 1. Let q(t) = 10*t**2 + 6*t - 6. Let h(f) = 6*l(f) + q(f). Give r(h(j)).\nAnswer: 44*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 14*l = -42. Suppose 0 = 3*t + 2*w - l*w - 32, 16 = -t - 4*w. Solve 5*b + n + 4*n = -10, t*n + 12 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91600 or 91597?\nAnswer: 91600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 3*a - 18, q + 3*a = 6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 25 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-6)\/(-3) + 0. Let i be l*-3*(-11)\/2. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -563\/11. Are 6 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:43 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 0.0266236017.\nAnswer: 0.5266236017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2006084754 - 1?\nAnswer: -2006084755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1865 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212332241 (base 5) to base 16.\nAnswer: -dc434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*n + 2*l, -8*n + l = -5*n + 3. Put n, -2, 4 in decreasing order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 115.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13396 - 13294.61. Let g = -102 + i. Let l = 13.61 + g. Is l smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r - 2*r + 3*r - 23*r.\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23291 - -23296. Solve 3*t + 8 = g, -3*g - 16 = -2*g + s*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9623 and -107414?\nAnswer: 1033644922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 465 = 4*k. Suppose 5 = n, -54 = -4*t - 5*n + k. What is the greatest common divisor of t and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -364061654?\nAnswer: -364061656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 16, p: 4}. What is prob of sequence pppp?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/2 + 2 + 0 + 2473?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -970, -1381, -1494, -1123, -82?\nAnswer: 1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 36*g**2 + 39*g + 61. Let d be o(-37). Let m(i) = -i**3 - 12*i**2 + 13*i + 9. Determine m(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*n**3 + 5*b**3*n**2 + 3*b**3*n - b**2 - 65*b*n - 142*n**3 wrt n.\nAnswer: 12*b**3*n + 10*b**3 - 852*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 294.4 - 294. Put 1, -1\/4, -3, k in decreasing order.\nAnswer: 1, k, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-102))\/(50\/(-45))*(-138 + 18).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13 = -3*z - 2*f, 4*z = 2*f + 14. Suppose -z*w - 2*v + 83 = 0, -3*v = -w + 2 + 11. Solve -t = -6*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/2)*t)\/t)**24*t**(-5)*t**(-4\/3) assuming t is positive.\nAnswer: t**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3156*d + 97. Suppose -5 = -8*x + 9*x. Is a(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 21*r - 3*g - 32 = 0, -3*g - 17 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:17 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -422 + 1265\/3. What is the second biggest value in 245, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/5 + 169776*q\/5 - 237657.\nAnswer: -3*(q - 56585)*(q - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2201010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/232 and -65\/186354?\nAnswer: 745416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/(2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*k - 5*d + 19 + 42, 29*k = 5*d - 41 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-495)\/(-75))\/(2\/(-30)). Let k be (3 - (-91)\/(-65))\/(y\/(-5)). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**2 + 4*l - 124. Let w(r) = 7*r**2 + 3*r - 122. Determine 6*w(t) - 5*x(t).\nAnswer: 2*t**2 - 2*t - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 17 + 43 = 0. Suppose 3*l + 0*l = 3*m - n, -4*m = -3*l - 14. Let z(q) = q**2 + q + 2. Determine z(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*b - 4641*b + 4319*b - 4895*b**2.\nAnswer: -4895*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155 - -155. Which is smaller: -2\/1017 or x?\nAnswer: -2\/1017","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 614?\nAnswer: 614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 255*o - 1. Let s be g(9). Let l = -13711\/6 + s. Find the common denominator of l and 69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 494 and 152.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/1400*10\/(-20)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 2*n**2 - 2*n + 4. Let y = 2 - -1. Give x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1294042 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-6)))**(6\/13)*(t**1)**(-50) assuming t is positive.\nAnswer: t**(-614\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182282753?\nAnswer: 182282753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/171 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q - 123. Let l be h(-36). Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.6151 + -3480127.\nAnswer: -3480113.3849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4 + 333*b**3 + 1926*b**2 + 3804*b + 2520 = 0.\nAnswer: -105, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 648\/(-243)*3\/2*-1*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99*k**4 + 12*k**3 + 656*k**2 + 297 - 177*k - 3*k**5 - 38*k**2 + 978*k + 6*k**3.\nAnswer: -3*(k - 3)*(k + 1)**3*(k + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - 7\/((-14)\/(-4)). Suppose 2*r - 4*r = t*y, 4*y - 6 = r. Let d = 5 + r. Solve 12 = d*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -1 - (-2)\/(-1). Let f be (3 - 3) + 0 + v. Let j be (-1)\/f*4\/4. Are -1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p + 44*p - 3293613 = -2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5\/19, 4, 22, 3, 0.5 in descending order.\nAnswer: 22, 4, 3, 0.5, -5\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 139. Let r(h) = -10*h - 14. Let b be r(-5). Suppose -14*g + 12*g = -b. What is the greatest common divisor of s and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*q*y**4 - 2*k*q - 319*k*y**4 + 46*q*y + 2*y**2 wrt y?\nAnswer: 24*k*q*y - 7656*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(16)\/sqrt(8)*-1.\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 205 - 44 - 21 - 140.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 7*y - 6. Suppose -3*u + 26 = 2*v, -v - 12 = -4*u + 30. Let o = -4 + u. Let j be m(o). Solve j = 3*x + 4 + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 33*y = 28*y + 10, 2*y = -5*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-18))\/(((-2552)\/198)\/(-58))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1729 + 654 = 0. Let s be (l\/(-10))\/((-2)\/4). Is 5 a factor of (-1)\/3 - s\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -33. Suppose -3*s + 2*s + 22 = i. Let u = 84 - s. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 28 - 21*t to a*t + o and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 529794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072042075 rounded to five decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 4102.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**8\/4200 - y**7\/2100 + y**3\/6 - 3*y**2. Let v(d) be the first derivative of n(d). Factor v(a).\nAnswer: 2*a**3*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + v = -19, r = -3*r + 4*v - 4. What is the biggest value in 1\/8, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 205, 0.1, -1\/3 in increasing order.\nAnswer: -1\/3, 0.1, 3\/8, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -446*f**2*x - 2458033*f**2 + 16798*f*x**2 + 7*f with respect to x.\nAnswer: -446*f**2 + 33596*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 g when four letters picked without replacement from {v: 2, i: 4, g: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*u + 7, 0*r + 2*r + 11 = -u. Let c be (-96)\/(-18)*(-390)\/r. Suppose t - c = -4*t. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 12, 247 in ascending order.\nAnswer: 12, 13, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -172103\/482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n. Let y = 1 + n. Suppose -2*q = -3*q + y. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*u**2 + 335*u**2 + 318*u**2 - 306*u**2 + 55*u**3.\nAnswer: 55*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570968613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000046412 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8239 divided by 2?\nAnswer: -8239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25*1\/((-5)\/3). List the prime factors of 623\/1*(8 + (l - -8)).\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588319426 to the power of 1\/2, to the nearest integer?\nAnswer: 39854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 15 - (-25 - (-1 + 2 - 0 - -1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-4)*n*n*n**(-17)\/n assuming n is positive.\nAnswer: n**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1854, -1848, -1842, -1836, -1830, -1824?\n\"Answer: 6*v - 1860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -182. Let x(a) = -2*a**2 - 17*a - 4. Let d be x(z). Calculate the highest common divisor of d and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 1369\/11 + 74\/11*p + 1\/11*p**2 = 0. Calculate p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4\/54 + (-3555)\/(-1215))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h, -1 - 1 = -5*w - 4*h. What is the highest common divisor of 5 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67122, -70852, -80976, -100692, -133198, -181692?\n\"Answer: -533*w**3 + w**2 - 2*w - 66588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5043284557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 948\/(-2212)*(-7)\/6*-44\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 3*k + 341*y - 335*y, -6*k = -3*y + 48 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*j - t = 232*j - 24, 0 = -4*j + 7*t - 11*t + 64 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 213506, 213461, 213344, 213119, 212750, 212201, 211436, 210419?\n\"Answer: -6*h**3 - 3*h + 213515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0735035 rounded to 3 decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = 3*c - 16*j - 12, 4*c - 8 = -4*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(18\/7)\/n))\/n*n**(-1\/14)*(n\/(n**3\/n*n*n*n))\/n**(-2\/97) assuming n is positive.\nAnswer: n**(-7635\/1358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + p - 14 = 3*y, 6170*y - 6169*y = p - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (6 + -1)*44\/55. Sort 5, 3, d, -4 in decreasing order.\nAnswer: 5, d, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 33*l - 165. Let q be d(5). Suppose q*s - 3*s + 2*x = -6, 0 = s + 2*x + 6. Sort -6, -8, 2, s.\nAnswer: -8, -6, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 4. Let y(a) = 3*a - 6. Suppose -5*b = -5*s, -3*s + 4*b + 30 = -5*s. Let r(i) = -i**3 - 5*i**2 - 6*i. Let o be r(-4). What is o*v(n) + s*y(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-56 + 5 + 19).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -1 - (4 - (-3 + 6)). Factor 0*b + 8*b + 640*b**2 - 635*b**p + 0*b**3 - 48 - b**3.\nAnswer: -(b - 4)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -11*j**2 + 0*j**4 + 0*j + 12 + 6\/5*j**5 + 0*j**3. What is the second derivative of u(l) wrt l?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 37. Calculate the remainder when v(8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/3 - r. Let x be (10\/6)\/(1\/3). Let s(q) = x - 2*q - 2 - 3. What is s(y(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/80 and -3\/5198.\nAnswer: 207920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(153) + sqrt(153) + 0 + sqrt(153))*2 - (3*(2*sqrt(153) + sqrt(153)) + 2))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1430270273712 and 7?\nAnswer: 1430270273705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.96 - -0.04. Let l = 0.0867 - 0.0967. What is the nearest to -1 in -4, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417984.\nAnswer: 2, 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {o: 2, z: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18607 (base 9) to base 5.\nAnswer: 403021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(3136\/833)\/32.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.47 and -0.4.\nAnswer: 0.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/19)*x\/(x**(-6)*x))\/((x*x\/(x*x*x**0))\/x*x**(-1)) assuming x is positive.\nAnswer: x**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {w: 8, b: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 806379 - 806241 = z + 2*d, 5*d - 100 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*a + 132 - 108, -3*s = -5*a - 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23868 + -23848. Put -2, a, 135 in increasing order.\nAnswer: -2, a, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 84. Is -3\/20 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(-3 - 4 + 5) + 1 - 2 - 1 + 0 + 3 - 2 + 1 - 1 + 1)*(-4 + 1 + 0)*(715*h**2 + 217336 - 217336).\nAnswer: 4290*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -25*b - 2*b**2 + 25*b. Let i(p) = -18*p. What is i(u(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (3 - 5 - -6 - 5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28438 (base 13) to base 3.\nAnswer: 10211110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 y, and 1 w when four letters picked without replacement from mhmmmymmymhmhhmwyh.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286.9999686 - 287. Round v to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29220 != 29220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 15 = 0, 16*f = 21*f - 4*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 48. Let l = 39 - h. Suppose k + 25 = 3*s, 4*s + 4*k - l = -0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4388 from 844.\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 + 32190*p + 96588 = 0.\nAnswer: -3, 16098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1001111222111 (base 3) to base 16\nAnswer: 890a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/37 (b) 9 (c) 53.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s**5 - 6*s**4 + 6*s**2 + 6. Let i(u) = u**5 + u**4 - u**2 - u - 1. Let p(h) = -6*i(h) - v(h). What is the second derivative of p(m) wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -20*o. Suppose -4*w + 17 = 25. Let f(v) = v**2 + 2*v - 2. Let j(p) = -3*p**2 - 5*p + 5. Let u(c) = w*j(c) - 5*f(c). Determine h(u(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 26550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/7 - 10*a**4 + 860*a**3\/7 - 4500*a**2\/7 + 10530*a\/7 - 9126\/7 = 0. Calculate a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(192) + sqrt(192) - sqrt(192))**2*3 - -3*1*(sqrt(192) - (sqrt(192)*3 - sqrt(192)))**2.\nAnswer: 518976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 6*p + 455. Let d be (-7)\/2*(-216)\/6. Let l = p + d. Solve -4*u + l = -3*m, m - u = 5*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -922 - -942. Let h be (-1)\/((-264)\/(-278) + -1). Let w = x - h. What is the nearest to -1 in w, 0.15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b + 1. Let w(k) = 5*k**3 + 7*k**2 - 7*k - 6. Let a(x) = 6*p(x) + w(x). Let m be a(1). Suppose -y + m = 3. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m - 4. Let a be c(-4). Let r be a\/(-3*1\/3). Let o be 38\/5 + (-4)\/(-10). Solve 2*f - o = -r*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2017 + -2517?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 22 - (27 - 55).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -728 + -34?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97716539 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + t - 2 + (4 - 3 + 1)*(-2*t + 6*t - 5*t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpvt when four letters picked without replacement from {t: 2, p: 1, v: 14}.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 57\/(-24))\/(-5 + (-1640)\/(-320)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.161 - 7.161. What is the closest to 0.004 in 5, -3\/7, 1, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302379401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5 - 14*o + 8*o - 2*o - 2 as p + a*o and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 6*t + 3. Let z be s(6). Suppose 14700008 = -0*a + a - 4*k, a = z*k + 14700006. Round a to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 5*x**3 + 15*x**3)*(5439 - 1231 + 2708 - 665)*(x**2 + 2 - 2).\nAnswer: 100016*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 30259167*j - 30259168.\nAnswer: (j - 1)*(j + 30259168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j = 71*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -288*q**3 - 14*q**2 - 109*q - 8. Is h(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -14, -0.18, -4 in increasing order.\nAnswer: -14, -4, -0.18, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 4*k**3 - 2 + 2*k**3 - 1341*k.\nAnswer: 2*k**3 - 1341*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 415399*-0.095\nAnswer: -39462.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -2\/13, -3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-5*k + 2*k + k) + 0*k + k - 3*k + 0*k + k + 0*k + 7*k + 18*k + 31*k + (3 + 6 - 5)*(k + 4*k - 4*k).\nAnswer: 57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36348862*u**2 + 109046586*u**2 - 36348859*u**2 - 36348864*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let d(a) = -5*a**2 + a. Calculate d(z) + 3*y(z).\nAnswer: -8*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/(-1) + 8\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.3 - -4. Suppose 29*d - 90 = 11*d. Let i be 3 + (4\/(-5))\/(2\/d). What is the third biggest value in i, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*o - 49 = 0, -6 = -7*o + 10*o. Suppose 402 = -x*r + 1437. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-7 - (-40 + (8 - -18)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Let l = 68 - 76. Let d(o) = -4*o**2 - 31*o + 10. Let j be d(l). Let c(z) = j*z + 3*z + 15*z. Calculate q(c(p)).\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.186 + 0.586. Let g = 32 + -23. Let w = g - 9.5. What is the nearest to -0.1 in 3, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 249?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 10\/136291 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 10479 and 1687310\/161 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-6\/5)*g**(-5)\/(g*g*g**(-2\/11)\/g*g) assuming g is positive.\nAnswer: g**(-309\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - h**3 - 4*h + (3 - 3 + 3*h**3)*(0 + 0 + 1) + 5*h**2 - 5*h**2 - 5*h**3 - 9*h**3 + 21 - 15*h**3 - 20.\nAnswer: -27*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 32\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69712 is divided by 34847.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1584) - (sqrt(1584)*4 + -4)))**2.\nAnswer: -7200*sqrt(11) + 356800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107103331 and 1415.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*y - 579 - 4525. Let v be (3\/(-5) + 3)*10. Suppose 0 = 3*p - 21 - v. Calculate the remainder when y is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 928762, 1857529, 2786296?\nAnswer: 3715063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 25*z - 3 = 20*z, 3*z = -k + 6. What is the closest to -0.1 in -3\/8, -758, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277 + -275. Suppose 5*j = x*y + 118, 0 = 2*j - 4*y + 17 - 77. Calculate the remainder when 86 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/61700 and 101\/2.\nAnswer: 61700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13138814 and 6.\nAnswer: 39416442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*h - 4*g - 3, -5*h + 5*g = -65. Calculate the smallest common multiple of h and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 11*f**2 + 64*f + 252. Let r be b(-7). Solve -c - y + 11 - 12 = r, -4*c + 4*y + 36 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3714*a + 16461 = 850*a + 354197 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 1401804.\nAnswer: 7009020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 69*g = -71*g - 8, 16*p - 13*p + 4 = -g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + u**2 + 0*u - u + 1. Let v be n(3). Let o = -63 + 61. Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**3 - 9 + 0*j**2 - 2 - 3*j + 8*j**2. Suppose -5*g = 5*g - 50. Let z(i) = -9*i**3 - 5*i**2 + 2*i + 7. What is g*s(t) + 8*z(t)?\nAnswer: -2*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 8 = 2*y, 2*y - 11 = -6*h + 13*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 61. Let s(v) = -v + 6. Give p(o) - s(o).\nAnswer: 4*o + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-1 + -1) - (-1235)\/1. Suppose -12*q = 10*q + b. Let r = 111 + q. Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 12*k = -54. Solve 0 = -q + 2*c + 1, -2*q + 4*c - 8 = k*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**2 + 8*v - 3. Let q be l(1). Let z(y) = -7*y**3 - 2*y**2 - y - 2. Determine z(q).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52633 (base 10) in base 9?\nAnswer: -80171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*d + 335*d + 67*d + 102*d)*(1 + 1 + 2) to w + i*d and give i.\nAnswer: 1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, d: 1, m: 5}. What is prob of picking 2 m and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6574.888 less than 98?\nAnswer: 6672.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 3:34 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*c = -0*c, -2*c = 5*w + 14. Let k(g) = -716*g + 5. Is k(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9728.6 and -0.04114?\nAnswer: -400.234604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2. Suppose 2 = o + 3. Let d be y(o). Let c be 1*(-1 + 0)\/d. Let p(z) = z**2 + 1. Let l(s) = -4*s**2 - s - 3. Determine c*l(v) + 5*p(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 13. Suppose -5*q - 5*h + 40 = p, -q + 0*h = -4*h + 12. Suppose 0 = -3*y + q*o + 48 + 45, 2*y - 67 = o. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u - 11 + 8*u - 9*u**2 + 22*u**2 - 12*u**2 - 29. Let a be j(-15). Determine b so that 1\/2 - 1\/2*b + 1\/2*b**4 - b**2 - 1\/2*b**a + b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -38, -24, -18, -2 in decreasing order.\nAnswer: -2, -3, -4, -18, -24, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13265.\nAnswer: 5, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 1 r when three letters picked without replacement from brbbssbsrggbgcb?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - 1 - (-7 - (9 - 3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 126, 1, 3, -2, -612 in decreasing order.\nAnswer: 126, 3, 2, 1, -2, -612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:37 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105678 and 24767792?\nAnswer: 668730384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -87. Let s = -32.47 + k. Let l = -0.529933 + s. Round l to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/224435 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = 24. Let f(x) = -x**2 - 6*x - 5. Determine f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 3, -4, -0.31, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c + 0 - c**4 - 6 + 1 + 4. Let q(r) = -r**5 - 5*r**4 + 6*r**3 - 5*r - 5. Let u(t) = -5*o(t) + q(t). Suppose u(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -316 + 47714\/151. Suppose y + 5*s - 25 = 0, -6 = 5*y + 5*s - 31. Which is greater: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/3 - 20*t**2\/3 + 34*t\/3 + 56\/3 = 0?\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*u + 4*b, -13*b = 4*u - 11*b - 50. Solve -12 = 13*s - u*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -749*o + 301. Let n(d) = -4*d. What is v(n(z))?\nAnswer: 2996*z + 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8372217mg in micrograms?\nAnswer: 837.2217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 3*h + 15. Does 29 divide y(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791183.\nAnswer: 349, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 110, 106, 54, -52, -218, -450, -754?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4314238400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 55*q**3\/3 + q**2\/2 - 3*q. Let v be p(1). Suppose 4*c - 253 = v. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/((-24)\/56*-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -290 and 655211.339.\nAnswer: 654921.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 810 = -2*f - 748, -2*g - 21*f = -5 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 103. Calculate the remainder when n is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**8\/336 - h**7\/70 - 21*h**4\/8 - 2*h**2 - 26*h. Find the second derivative of u(l) wrt l.\nAnswer: 20*l**3 - 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 11 = f, -2*f + 5*i - 2 + 32 = 0. Suppose 5*y = -4*z - 8, z - 4*y - 371 = -352. Which is the second smallest value? (a) 0 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 1\/20 (b) -0.0191 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -0.7, -0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 3:56 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b62a8 (base 12) to base 14.\nAnswer: 6cc86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 + 241. Let p = -402 + g. Suppose 5*u - 96 = u + 5*c, -2*u = 5*c - 48. Calculate the greatest common factor of p and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 2*u + 2. Let d be g(0). Factor 0*s - 2\/5*s**d + 2\/5*s**3 + 0.\nAnswer: 2*s**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 1. Let z be a(2). Let o = z + 0. Let u be 2\/(-1)*(-3)\/6. What is the closest to u in o, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2638866*i**3 + 544*i**2 + 10.\nAnswer: 15833196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 228034, 228035, 228036, 228037, 228038, 228039?\n\"Answer: x + 228033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 23*v**2 + 5*v - 119. Let r(w) = -w**2 + 27*w - 49. Let b be r(24). Determine l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -12*f. Suppose 4*j = u - 0*u - 7, -12 = 4*j. Sort f, u, -4.\nAnswer: u, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18*y**2. Let j(o) = 253*o**2 + 24*o + 3. Let w(q) = -6327*q**2 - 608*q - 76. Let m(p) = 76*j(p) + 3*w(p). Calculate m(n(k)).\nAnswer: 80028*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) + (sqrt(117)*2)**2 - (sqrt(13) - (3 + sqrt(13) + -1))) + (sqrt(832) - (sqrt(832) + (sqrt(832) + 1)**2) - (sqrt(39)\/sqrt(3) + -4)).\nAnswer: -357 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhvx when four letters picked without replacement from {x: 7, h: 5, v: 1}.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 208*o + 2 + 203*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -22. Solve -4*w - 3*v + i = -3*w, -v - 1 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*m**2 + 28*m**2 - 130*m**2)*(0*m + m + 4*m).\nAnswer: -850*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (590 - 577) + 2 + -3 + 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -2*l, -l + 4 = l - 4*u. List the prime factors of l*(-4)\/8*-7*9.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 + -27 - -12 - (0 - 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 - 17 = -2*i, 0 = i - 3*h - 12. What is the remainder when 45 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1466\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*j + 21 + 59, 4*k - 336 = 4*j. Sort -5, k, -3 in descending order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54, 74, 426, 1116, 2258, 3966?\n\"Answer: 19*a**3 - 2*a**2 + a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130166659.\nAnswer: 7, 83, 157, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 27. Let y(k) = 2*k**2 + 3*k - 1. Let n(m) = 7*m**2 + 4*m - 9. Let j(r) = n(r) - 3*y(r). Give j(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*b - 46, 3*b - 34 = -3*r + 5*b. Calculate the least common multiple of 1 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d**(-1\/2)*d)*d)\/d)**(3\/10))**(-4\/13))**(-11))**(27\/2) assuming d is positive.\nAnswer: d**(891\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16404*u**2 - 9*u**3 - 16404*u**2 + 14*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -42874 (c) 1\/65 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 22. Suppose s + c + 2 = 0, -2*v + 3*s = -137. Let n(l) = -2*l**2 - 22*l + 8. Let p be n(-11). Calculate the highest common divisor of p and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 - 152. What is the remainder when (-1 - (-71)\/q)*532\/114 is divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 369*g - 8117. Determine w(-159).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 17031?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllwwwlslr. What is prob of picking 1 r and 1 s?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107793.171 + -107517. Let x = a - 276. Let p = x - 0.17100242. Round p to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1429 - -90025213?\nAnswer: 90025212.8571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800540288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 7) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27930?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-12) + 585\/4. Let d = -82 + k. Calculate the remainder when d is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*a**2 + 363*a**2 + 2*a**3 - 136369*a - 116*a**5 + 136373*a - 3*a**4 wrt a?\nAnswer: -6960*a**2 - 72*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 10:11 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -408*y + 4*y - 846 + 6098 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/(-54) - (-21)\/(168\/32).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -39 - 52 + 91 - 7*r. Let b(p) = -4*p**2. Give b(a(g)).\nAnswer: -196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64610.254 + -64667. Let n = -57 - t. Let v = 0.25 + n. Round v to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*m + 33*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1364, 2734, 4104, 5474, 6844?\n\"Answer: 1370*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 6. Let p(b) = 3*b - 17. Let a(v) = -17*g(v) - 6*p(v). Let z be a(-9). Is -22*(612\/(-8))\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/29 (b) 0 (c) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + -6 + 11 + -6 + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28241 (b) -3 (c) -5 (d) -254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30208968 a multiple of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35763127 minus -1.7?\nAnswer: 2.05763127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**6\/30 - o**3 - 2*o. Find the second derivative of c(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259126 is divided by 403.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39056, 78108, 117158, 156206, 195252, 234296, 273338?\nAnswer: 312378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*p**2 + 49*p**2 + 67*p**2 + 5*p)*(-11 + 25 - 14 + 23*p).\nAnswer: -483*p**3 + 115*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -15*b + 9. Let u(v) = 10*v - 6. What is -5*k(q) - 7*u(q)?\nAnswer: 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30*k + 67. Let j be g(-16). Which is greater: -414 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -32*b**2. Let m(r) = -96*r**2. Calculate m(y(h)).\nAnswer: -98304*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55984?\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 456 = -3*z, -z - j - 2*j = -146. Put 3, -3, z in descending order.\nAnswer: z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 65 - 319. Let v be (-372798)\/8 - 8\/a. What is v rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/70 + (-410004)\/(-5). What is b rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22664275 + -13?\nAnswer: 22664262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 0*l + 81 + 2\/3*l**3 + 7\/26*l**4 + 6\/13*l**2. Suppose f(a) = 0. Calculate a.\nAnswer: -1, -6\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/93 and 156122\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3))**(-41) assuming q is positive.\nAnswer: q**123","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 226*b - 36. Let g be r(-2). Let u = g + 1104. Is u a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 25 = 9*d - 2*y, 0 = 2*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 35. Calculate s(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9465560779 to the power of 1\/8, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*j**4)*(-2*j - 5*j + 4*j) - 2*j**3 + 2*j**5 + 2*j**3.\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6234302?\nAnswer: 2, 3117151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4.6, -4, 1, 3\/2 in increasing order.\nAnswer: -4.6, -4, 1, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3392 - -29.4708. Let z = 29.9536 + 0.0464. Let s = z - h. What is s rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.578305 rounded to 0 dps?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25676 - 180707\/7. Let p = l - -139. Sort 5, 0, p in decreasing order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.34462 - -52.\nAnswer: 53.34462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2059220.647 to the nearest 1000.\nAnswer: -2059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/158364 and -89\/24?\nAnswer: 316728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1895 divide 585708961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 9*d + 7. Let f = 57 - 57. Suppose -n + 8 + 0 = f. What is j(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-208))\/((-2)\/12*-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2577 less than -5210?\nAnswer: -2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, 95, 3 in decreasing order.\nAnswer: 95, 14, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 12.84829.\nAnswer: 12.84829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 6305?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16614)\/(-99060))\/(-71)*(-40)\/(-12).\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5308435?\nAnswer: 5, 11, 96517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -8\/7*g - 2320\/7*g**4 + 0 - 620\/7*g**2 - 2932\/7*g**3 = 0.\nAnswer: -1, -1\/4, -2\/145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*q - 4, -6 = 3*u - 4*q - 0*q. Let c(k) = -k**2 + 6*k + 22. Let j be (-37 + 38)*(-1)\/(-1)*9. Let t be c(j). Sort 6, u, t.\nAnswer: t, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45230903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h + 7 = 2*g, 0 = 5*h + 5*g - 40. Let v = 188979 - 188973. Solve -p = -h*p - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 19 = -10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 3)*(3*f + 0*f - 2*f) + 0*f - f + 0*f)*(0 + 4 - 2).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155074 less than 0.1?\nAnswer: -155073.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 153*u**2 + u + 1. Suppose 5*x = -4*t - 9, 3*x = 8*x - 5*t. What is the tens digit of r(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/15 + 928*i**2. Let u(p) = -10*p - 1. What is h(u(j))?\nAnswer: -400*j**2 - 80*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2146, -8632, -19442, -34576, -54034, -77816?\nAnswer: -105922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 8 - (17 + -18 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n + 1. Let a = 69 - 66. Suppose -a*k - 13*k = 16. Give z(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2602, 5214, 7826?\n\"Answer: 2612*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -342.731 times -22.3\nAnswer: 7642.9013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -58*m**3\/3 + 2427*m + 8220. What is the first derivative of i(w) wrt w?\nAnswer: -116*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 281 (b) -1\/5 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 5*g**3\/3 + 2*g - 23. Let i = 0 - -2. Let b(j) = -6*j**2 - 3. Calculate i*b(q) + 3*r(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 28*h**5 + 8632*h**4 - 114632*h**3 - 103008*h**2 + 3620268*h + 1040040 = 0.\nAnswer: -321, -5, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250.9 + -252.9. What is the nearest to -17 in d, 0.06, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, a: 1, e: 2}. Give prob of picking 1 a and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40823, 326285, 1101003, 2609603, 5096711, 8806953, 13984955?\n\"Answer: 40771*c**3 + 2*c**2 + 59*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m**2 - 3*m + 3. Let u(q) = -8*q**2 - 3*q + 4. Calculate -4*g(r) + 3*u(r).\nAnswer: 16*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 318085480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1044103 and -0.806772.\nAnswer: -0.9111823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-401 + 401 - 281*x)*(2 - 1 + 2)*(-2*x**3 + 9*x**3 + x**3) to the form t*x**2 + f*x**4 + z*x + s + u*x**3 and give f.\nAnswer: -6744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1034287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 2*d = -45. Solve 2*r + d = -1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1735 minus 3.39?\nAnswer: -9.5635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/((-96425)\/760)*(-259)\/(-2).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by -26\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - 112212101?\nAnswer: -112211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19110 - -12947. Let k be (x\/(-3))\/(3*(-7)\/4473). Let f = k + 134573. Round f to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 509*y**2*z**3 - 6*y*z**3 + y*z + 8*y wrt y.\nAnswer: 1018*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 12*u + 17. Let r(t) = 3*t**2 - 19*t + 36. Let b(v) = -5*i(v) + 3*r(v). Determine b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 503050300 + -2?\nAnswer: 503050254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2823572 by -705893.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 34922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.92 + -3.08. What is the nearest to 0.1 in -0.3, p, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da (base 14) to base 10.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and 14.3.\nAnswer: 700.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 4196?\nAnswer: 37764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 3*u + 2*a, 52 + 18 = -2*u - 3*a. Let x = u - -43. Suppose 20 = -9*l + x*l. Solve 0 = -l*f + f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -4. Let o = -75 - -42. Let d = 51 + o. What is the smallest common multiple of d and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -193?\nAnswer: -9\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80\/6)\/(-8) + (-550)\/(-6). Calculate the least common multiple of (-48)\/15*(-50)\/4 and ((-52)\/10)\/(((-9)\/s)\/1).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7399*o**2*p - 401*o**2 wrt p.\nAnswer: -7399*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31963 + 0.08037. Which is the closest to -1\/11? (a) v (b) -62 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 7728*f**2 + 2098*f**2.\nAnswer: 9826*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1. Let f(g) = 3*g - 6. Let o(k) = f(k) + 5*h(k). Suppose 0*m - 16 = 4*m + 5*r, -4*m - r = 0. Let p be o(m). Put -4, 4, p in descending order.\nAnswer: 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 6*x - 5. Let v = -11 - -4. Let s be c(v). Solve u + 1 = s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 2 - (-3 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4090, 8180, 12270?\n\"Answer: 4090*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqcccqaq. Give prob of picking 1 q and 2 a.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2133 - 2095. Let x(w) = 11*w**2 - 5*w - 3. Calculate the remainder when x(-3) is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/3, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 2014?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -69. Let l(q) = -2*q + 12*q - 9*q + 10 - x*q - 2*q**2. Let j(n) = 1 + n - 4*n + 2*n. Give -10*j(w) + l(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -15. Let h = z + -5. Let q = h + 7. Put 1, q, 10 in increasing order.\nAnswer: q, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/44 and (-1)\/(-5) - (-513)\/8360.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(1 + 3\/(-12)). Suppose 0 = 2*u + y*u - 25. Suppose -2*q = -5*m + 88, -2*m + q - 3*q = -38. What is the remainder when m is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -110. Suppose -22*g + 23*g = r. Solve -3*a + 5*a - g = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.3, 0.4, 0.2, 0, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -13. Let k be 93\/33 - (-6)\/b. Solve -k + 15 = -3*r, 2*t + 3*r + 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**2*x**3 + 47*k*x**3 + 120*x**3 wrt k.\nAnswer: 8*k*x**3 + 47*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 166*r - 169*r - 14*r**2 + 4*r**3 + 40 - 38 in the form m*r**4 + v*r + b*r**3 + y*r**2 + s and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.652437 to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 132608 (base 9) to base 12\nAnswer: 3a838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 31, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wswswswwwwswwwswssw. Give prob of picking 4 w.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -835926 + -0.3.\nAnswer: -835926.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.047 - 0.253. Let l = 305 + -305. Which is the fourth biggest value? (a) 1\/9 (b) -8 (c) v (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1896 divided by 316?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 293*j - 323*j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*i + 2*f**2 + 2*f - 5835452*i**3 - 223552 with respect to i.\nAnswer: f**2 - 17506356*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15686 + -15554. What is the biggest value in -0.02, 1\/3, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d**2 + d + 9. Let a(k) = 2*k - 13. Let p be a(5). Let x be f(p). Suppose x = -w + 63. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.9183482 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54589864.\nAnswer: 2, 7, 974819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*u**2 - 60*u - 1280*u + 89*u**2 to the form a*u**2 + i*u + b and give i.\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**2. Let q(n) = -5*n**2. Let u(h) = -3*m(h) - 7*q(h). Suppose -3*t + 8 = t. Let s(y) = -y - y**t - y**2 + y. What is s(u(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 21*f = 5*j + 16, f = 2*j + 4. Let w(y) = -2*y**2 - 3*y + 8. What is the lowest common multiple of w(j) and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -49.7. Which is the third biggest value? (a) s (b) -1\/2 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319445251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 21*g + 21 = 0. Suppose -h + 1598 = 4*y - 1673, g*y - 4*h = 2439. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 27.3. Which is the closest to -0.06? (a) o (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -17, -40, -71, -110?\n\"Answer: -4*s**2 - 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 + 782 = -142*r - 77*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 114 = -4*x. What is the highest common divisor of 46 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4 + 12, -4*d + 26 = -3*x. Solve -d = -4*y - 0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185277 divided by 3?\nAnswer: 61759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**4 + 360*k**3 + 4965*k**2 - 12550*k - 17160 = 0.\nAnswer: -52, -22, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.49, 5, 15326, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534 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: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251642900.\nAnswer: 2, 5, 2516429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 371 - 413.9. Let s = w - -4.9. Let a = s + 37.9999939. What is a rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1128\/2176 - (-9)\/48)*1*(-1)\/(-6)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/16 + (-28)\/(-16). Suppose -3*l + k*l - 2455996 = 4*m, 1227996 = -2*m - l. Round m to the nearest 10000.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/1 - (52\/520)\/((-4)\/344)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119466 and 2952?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1008) + 0)*-5)**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1760276569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 5*y**2 + 8*y - 9. Suppose k + 6 = 12. What is z(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1485, -1459, -1395, -1275, -1081, -795, -399, 125?\n\"Answer: 3*b**3 + b**2 + 2*b - 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 divided by -242?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:31 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 20*g = -114 - 56 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 4*c + 0*c)*(2 - 3 + 3) + 33*c - 7*c + 25*c)*(0 + 0 - 1).\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 18 + l - 68 + (-2*l - 1 + 1)*(-4 + 3 - 1) + l - l + 2*l as j + w*l and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6016 divided by 1504\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tftuttfft. What is prob of picking 3 f?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + (-1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11114, -22229, -33342, -44453, -55562?\nAnswer: -66669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48009041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a + 10. Let g be a\/(-3*6\/(-9)). Let i = g + -5. Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - x - 8 - 27 = 0, 559*x - 560*x = -5*a + 171 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/78 and 103\/720.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(-6*sqrt(128)))\/(2*(sqrt(200) + sqrt(200)*2)).\nAnswer: -sqrt(2)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 27*b + 4. Does 28 divide r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*i**2 - 21*i**2 - 10*i**2 - 12*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -45. What is the smallest value in -1\/8, -1, -2\/3, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 8. Suppose -5*a - 4*t + 36 + 11 = 0, -2*t - 22 = -4*a. Let d = u + a. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffvfvfvfvvvff. What is prob of picking 2 f?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*4\/8*(-12)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -0.2, -7, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2. Suppose 5*v = 3*l + 2*l + 15, v - 5*l + 17 = 0. Let y(p) = 3*p - 2*p**2 + 5*p - v*p. What is t(y(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273072035 and 1420?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137528 + 87*x - 68810 - 68718.\nAnswer: 87*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.153 * -4.\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -37) + -16 + (0 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839 = -137*k + 1162 - 357 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25687, 51356, 77009, 102640, 128243?\nAnswer: 153812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2 - (8 - 4)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 29*s**6\/3 + s**4\/2 + 169*s**3\/3 + 74. What is the third derivative of m(h) wrt h?\nAnswer: 3480*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*y + 2363, 4*y + 2517 = 2*p - 2227. What are the prime factors of p?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112\/5 - -89\/10. Find the common denominator of -43\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21\/10, -3\/2, -55, -1\/6, 5, 1\/5, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16310 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/3 + 580*h**3 - 378450*h**2 + 109750500*h - 11935366875 = 0. What is h?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50111, 49714, 49321, 48932, 48547?\nAnswer: 48166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 - 30. Let v = c + 314. Suppose -3*y + 41 + v = 0. What are the prime factors of y?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 20 = 3*v, 6*k - 4*k = 5*v - 10. Factor 6\/5*r**2 + v + 0*r + 2\/5*r**3.\nAnswer: 2*r**2*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 5. Let u be ((-9)\/3)\/3 - -1. Let g be f(u). Let q be (4\/(-21))\/(3 - 105\/45). Put g, q, -2 in descending order.\nAnswer: q, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 10*f - 54. Let q(k) = 1. Let x(m) = m + 12. Let i(b) = 2*b + 13. Let w(j) = 3*i(j) - 4*x(j). What is f*q(z) + 2*w(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278 + 4368. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/8933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 6, -0.7 in ascending order.\nAnswer: -0.7, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 310738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/96*-2)\/((-1738)\/6952)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6149 = 934. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + (195\/(-9))\/(-5). Solve 5*k - j - 24 = -2*j, m*j = -2*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -80327, -160656, -240987, -321320, -401655, -481992?\n\"Answer: -h**2 - 80326*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let d be v(-3). Suppose 3*g = d*f - 282, 0*f + 294 = 3*f + g. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 15. Let d be v(9). Let c(r) = 186*r**3 - r. Let y be c(1). Suppose d*h - y = h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**3 - 2*a**2 + 51. Let g(w) = 3*w**3 - w**2 + 17. Give -8*g(j) + 3*i(j).\nAnswer: 3*j**3 + 2*j**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*g - 9*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t**(-23)\/t)*t))\/t**(-2\/85) assuming t is positive.\nAnswer: t**(-2038\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - 87.7. Let q be (22 - 8268\/371) + (24\/(-63) - -2). Which is the third biggest value? (a) o (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -52.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20628.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**5\/60 - r**3\/2 + 11*r**2 + 31*r + 2. Let a(k) be the first derivative of v(k). What is a(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 6*d**2 - 8*d + 3. Let p be q(-4). Suppose 2*a = p*a - 68. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r - 17*r + 8*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 805 = 157. Differentiate 43 + 192*t + y + 30*t - 55 wrt t.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 995 and 1015895.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*z + 24*z**2 - 20*z**2 - 10 + 205*z - 13*z**2 in the form x*z + m*z**2 + v and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -17929.\nAnswer: -53787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10fa6 + 226?\nAnswer: -10d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 1)*(-3*l - 4*l + 4*l)*(2*l + l + 2*l).\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpqvvvqoveprvevpe. Give prob of picking 1 p and 1 v.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*u + 13. Let r(j) = j + 152080*j**u - 6 + 186864*j**2 - 86443*j**2. Let h be r(2). What is h rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*p = -40, 3*p = x + 2*x - 27. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27739505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8548, -8612, -8716, -8860, -9044, -9268?\nAnswer: -9532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10411003 + 0?\nAnswer: 10411003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2*u**3 + 10.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154583*m + 330181*m + 1328175*m + 539159*m.\nAnswer: 2352098*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146800 and 11.\nAnswer: 1614800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xllx when four letters picked without replacement from {b: 3, x: 4, l: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353080 divided by 88270.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = 25*n - 46*n - 760. Which is smaller: 131 or n?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121\/6 - -20. Let x(a) = a**2 + 8*a + 7. Suppose 28 = 4*s - 8*s. Let n be x(s). Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y + 2. What is j(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140 and 0.4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/4*(-80)\/2. Calculate the highest common divisor of 32 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 1, l: 1, w: 10, b: 6}. Give prob of sequence ew.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11059 - 5b8?\nAnswer: -11655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-124)\/((-8)\/(-2)) + -2. Calculate the remainder when 122 is divided by 22\/s - (-190)\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/2)*p)\/(p\/((p*p**(-4))\/p*p)))\/((p**(-5)*p)\/(p*p\/(p**21*p)*p)) assuming p is positive.\nAnswer: p**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5 + 29. Let g(f) = -8*f**2 - 3*f + 6. Let p be (-28188)\/(-1740) + 4\/5. Let t(a) = -23*a**2 - 9*a + 17. What is k*t(h) + p*g(h)?\nAnswer: 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/2 + 8. What is the closest to 2 in 0.4, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:54 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3\/3 - 3*i**2\/2 - 4*i - 76. Suppose -3*b = -3*o - 30, 4*b + 16 = 2*o + 52. What is the tens digit of r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8881*f**3 + 10*f + 8?\nAnswer: 53286*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0.3, 0.06972?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + l**3)*(-3 + 0 - 12) + (0*l - 7*l**2 + 0*l)*(-4*l + 3*l + 2*l) to the form f*l + x + u*l**2 + z*l**3 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4731191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19839 and 22329378?\nAnswer: 379599426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1332 - 1336. Let m = 0 - 3. Let y = m + 7. Sort y, 0, p.\nAnswer: p, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1999\/7 + -286. Which is the smallest value? (a) 0 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2\/9 (c) -207662 (d) -5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/18)\/(2\/6))\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1206253\/52 - -23199. Calculate the common denominator of (-7)\/5 - -1 - 5432\/(-480) and x.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/18 and -61\/34348?\nAnswer: 309132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -16, -0.4, -2, 1\/14, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-3 + 5 - (sqrt(704) + 1 + 0)) + -5 + sqrt(704) + (sqrt(704) - -2*sqrt(704)) + sqrt(704) + 1 + 3)**2.\nAnswer: 48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122120 - 11?\nAnswer: 122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:37 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80532 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9836 + 9836.4. Sort j, 4, 0.3, 0.03, -5.\nAnswer: -5, 0.03, 0.3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/20 + (-7 - 136\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 432\/23 (b) -0.55 (c) 0.4 (d) 5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -2. Suppose 0 = -4*q - a + 9. Is 2 a factor of 128\/22 - q\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -65333299.\nAnswer: 4\/65333299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13032 and 63?\nAnswer: 91224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m)\/(m\/((m*m**(-9))\/m))*m*m\/(m*(m\/(m**7*m)*m)\/m)*m\/(m**1*m)*m assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaiiuyyyiuiiii. What is prob of sequence uyu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**18\/c**25*(c\/(c\/c**(1\/7)))**(1\/31) assuming c is positive.\nAnswer: c**(-1518\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366905 and 385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3295402252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(((-2)\/3)\/(-1))\/(80*402\/(-15008)).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185 - 184.8. Let x = 0 - -2. Which is the second biggest value? (a) 3 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 589c5?\nAnswer: 589c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79844, -161300, -244370, -329054, -415352, -503264, -592790?\n\"Answer: -807*b**2 - 79035*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.793 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkk. What is prob of sequence rkr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 7 - 8) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**3 + 142*a**2 - 463*a - 13660. Determine r(-36).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:09 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*z**4 - 18*z**3 + 298 wrt z?\nAnswer: -12*z**3 - 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {v: 4, a: 4, k: 2, o: 4}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 1807281253.16?\nAnswer: 1807281253.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b - a + 31, 4*a - 16 = 0. Let x be (b - (3 + 1)) + (3 - 4). Suppose x*c = 3*h + 40, 0 = -5*h - 4*c + c - 57. Is h < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 - -72.\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, -5, -1\/52, 4, -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -94, -309, 2\/3, -0.24?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -11 + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/(-5))\/(8\/72*-9))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -3.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/3 at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = 3. Let q(j) = j - i*j + 4 - 4. Let f(h) = -h. Give f(q(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2917, -11316, -25227, -44650, -69585, -100032, -135991?\nAnswer: -177462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2919600 and 550800.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 66. Let s = 80 + d. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103426 + -55431?\nAnswer: 14665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 2*h. Let n be c(3). Find the second derivative of -4*u + 4*u + 5*u**5 - n*u - 3*u**5 wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**6\/15 - c**5\/10 + 5*c**4\/2 + 3*c**3 - 54*c**2 + 3712*c. Let t(j) = 0. Calculate j.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1208662 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 1 - 10\/2. Let i = n + 1. Let x = 2 - i. Which is the third smallest value? (a) x (b) 1\/4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 - -191. Suppose -4*j + 320 = 5*v - j, -5*v - 4*j = -m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299695 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, -12 in descending order.\nAnswer: 17, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 2129. Let b be a(0). Let d = b + -1113. Suppose d = 3*s + s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**2 - 45172*d*j**3 - d - 24490*j**3 wrt d.\nAnswer: -4*d - 45172*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 > -37614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-3430))\/(20\/(-490))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*q**2 - 4*q + q**3 + 17*q**2 + 12*q + 23*q**2 + 2*q**4 - 3*q**3 to z*q**4 + v*q**3 + f + y*q**2 + l*q and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-2) + 2\/4. Suppose -d*l = -4*l - 40. Solve 0 = -g - 5*o - 30, -l*g + 10 = -5*g - o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:32 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-45))\/((-22)\/55). Let m = -2 - -7\/3. What is the biggest value in -0.2, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-525)\/420)\/(11\/((40\/15)\/((-10)\/15)))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 356381953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40202.3l in millilitres?\nAnswer: 40202300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 750 and 775?\nAnswer: 23250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 20. Suppose 4*d - 2*u = 3*u + 3, 5*u = -d - 18. What is the remainder when (-2)\/d*666\/12 is divided by j(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000232 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110101 - 122?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11767075*s - 54637480 wrt s.\nAnswer: 11767075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22013 (base 6) to base 13\nAnswer: 14c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -72. Let k = 18\/5 + -41\/10. Which is the nearest to 2\/5? (a) k (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 4. Let s be a(4). Suppose -2*g = -s*g + 10. Let r be ((-15)\/(-6) - 3)\/(23\/276). Sort g, r, 2 in decreasing order.\nAnswer: 2, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(200) + -2)**2.\nAnswer: -20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 8. Let m be w(-6). Let s = m - -6. Let a(x) = -2*x**3 - x. Let u be a(-1). Solve s*k - u*l = -15, -6*k - 4*l = -3*k - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 1, d: 1, b: 1, u: 1}. What is prob of sequence bdg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135 and 0.2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2535.971 - -2536. Put f, 2\/13, -1\/2 in increasing order.\nAnswer: -1\/2, f, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 12 = -7. Let y = 18\/19 - 14\/95. Let r be (-3)\/(-84)*(6 + -14). Sort y, 2\/11, m, r in ascending order.\nAnswer: m, r, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 24. Let p(m) be the first derivative of m**4\/4 + 7*m**3\/3 + 5*m**2\/2 + 607. Give p(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*2)\/sqrt(3))\/(sqrt(5) - (2*sqrt(320) - sqrt(320))).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/60*(-3195)\/(-2840)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w + 7*w - 33497. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169100 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.3889m in nanometers?\nAnswer: 855388900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 - 806*x**4 + 4692*x - 168*x + 47*x**4 - 545*x wrt x.\nAnswer: 40*x**3 - 9108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 + 6*m - 2. Let c be x(-5). Suppose l = -5*a + 68, 0*a = l + 2*a - c. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 93, 108, 99, 54, -39, -192, -417?\n\"Answer: -2*k**3 + 6*k**2 + 23*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/(-144)*32\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01291 and 41889.\nAnswer: -540.78699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272239 = -8*f + 7929. Suppose -4*k = 5*l - f, 5*k - 5*l - 3794 = 40016. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-88)\/(-6))\/(40\/(-60)). Suppose -m*t + 13*t + 498 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 3*b + 7, z - 7*b + 14 = 37 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1207 and 4981?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 523 - 49. Suppose -2*k = 4*i - 770, 0 = 3*i - 5*k - o - 110. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**6\/50 - 1089*c**5\/25 - 175692*c**4\/5 - 56689952*c**3\/5 - 2339*c. Let s(m) = 0. What is m?\nAnswer: -484, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -14. Let z = i + 6. Suppose 2*c - 3*l = 1, -z*c - c - l = 15. Sort c, 4, 3 in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -2. Suppose 3*m - 5 = 13. What is the remainder when q is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 744 - 744 + 18*a**2 - 2*a**3 in the form d + i*a + t*a**3 + j*a**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32, 76, 144, 230, 328, 432?\n\"Answer: -s**3 + 18*s**2 - 3*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 m, and 1 g when four letters picked without replacement from {w: 1, x: 2, g: 1, m: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 7112.\nAnswer: 35560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/6)*s\/s**2 assuming s is positive.\nAnswer: s**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4449 + 31898. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -194.1 and -4.\nAnswer: 776.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 296.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-116)\/52)*(-6)\/(-9). Which is the third smallest value? (a) 4\/9 (b) h (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29754*k**3*l**2 - 4*k**2*l + 51*k*l**2 + 3 wrt k.\nAnswer: 178524*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 1, 0.5, 59278?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 30 + 59 - 18 - 9*t to i*t + r and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 320*t**3 - t**2 - 5*t. Let i be b(-5). What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 1) + (1 - -5) + (-1 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35161 (base 10) to base 3\nAnswer: -1210020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*f = 5*y - 235, -2*f = 4*y - 270. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 27*h = -582. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 + -204. Let p be (d - (1 + 0)) + 12 + -1. Solve 0 = 2*x + 4, 8*i - x = 3*i + p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67160694*k**3 + 33*k - 665501?\nAnswer: -402964164*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/105 + 7*m**4\/6 + 104*m**3\/7 - 1643*m**2 - 3. Solve t(n) = 0 for n.\nAnswer: -3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 384723570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1307*u + 218273. What is r(167)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(95))\/sqrt(5))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -399875609*h**3 - 3770*h - 18443?\nAnswer: -2399253654*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*s**2 - 20414471 + 20405768 - 2*s**2 - 51*s with respect to s.\nAnswer: -88*s - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -1)*4)**2.\nAnswer: -256*sqrt(19) + 19472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owdtmytmyytodyo. Give prob of sequence yy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 93*d**2 - 82 + 40 - d**3.\nAnswer: -d**3 - 93*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -0.39 (c) 1\/12 (d) 0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(56)\/sqrt(4))\/sqrt(2) + 1)**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 19*c - 2*v - 16 = 0, 5*v - 22 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 424? (a) 6\/5 (b) -1 (c) 2 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**3 - 3*b**2 - 2*b - b - 4 - 5*b**3. Let r be y(-3). Suppose r*o + 2552 = -548. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 - 631 = 3*f. What is the hundreds digit of (-1 + -4)\/5*f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 97216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -17*j**2. Let x(t) = 25*t**2 - 4*t + 2. Let a(y) = -76*y**2 + 14*y - 7. Let s(o) = 2*a(o) + 7*x(o). What is n(s(r))?\nAnswer: -8993*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 4*t - 5. Let w(r) = -r**3 + 2*r**2 - 4*r + 6. Let k be w(2). Let c be s(k). Suppose u - c = 17. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 240\/(-5)*11\/(-3). Suppose -4*k = -4*s + b, -s + 19 = k - 29. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - 43?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2427250 or -2427197?\nAnswer: -2427197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + g = -20, 3*g + 35 = 5*f + g. What is the greatest common divisor of f and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4130, 0.2, -3\/8 in decreasing order.\nAnswer: 4130, 0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -155 or -5\/1454?\nAnswer: -5\/1454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/70896256 and -121\/2345832.\nAnswer: 638066304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*b + 2*f = 99*b + 15, 4*b - 5*f + 21 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/2992 + -813\/2992. Which is the nearest to -1? (a) -1 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = g + 146, 4*d - 284 = -4*g + 2*g. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*s + 17357, 4*y - 19935 - 3221 = 2*s. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*m**3 - 9*m**2 + 223*m**2 + 5*m**3.\nAnswer: 3*m**3 + 214*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555094 = 14*x + 555192 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**2 + f - 2. Let r = -175 - -177. Give h(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3\/5 (c) -571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 28. Suppose x - d - h - 3 = 0, x - 2*d - 11 = 0. Calculate the highest common factor of x and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -53*o - 1. Let p be l(-1). Suppose -261*d + 5*t = -259*d - 302, -4*d = 5*t - 634. Calculate the highest common divisor of p and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -19) + 13 + -14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c**2 + 19*c - 11. Let d(r) = r**2 + r. Let a(k) = -b(k) + 4*d(k). Let w(v) = -v - 5*v**2 - 7*v + 4 + 3*v. Let l(n) = 6*a(n) - 17*w(n). Give l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s + 1. Let z be 8\/4*(0 - s). Let b(m) = 5*m**2 + 2*m - 1. Let l(p) = 9*p**2 + 5*p - 3. Let o(q) = z*l(q) - 5*b(q). Calculate o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 175, 678, 1705, 3442?\nAnswer: 6075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-33)\/(-198))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 77, 274, 653, 1274, 2197?\nAnswer: 3482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (6 - 2 - 6) - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 173, 171, 169, 167?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097112167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*f - 805*f - 113599 = -40*f - 10326 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 2912411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 1\/2*y**2 - y**3 - 13 + 3*y + 1\/4*y**4. What is w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Solve 2*l = -2*i - 2 - 4, 0 = -g*l + 5*i - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let b(m) = 87*m**2. Calculate g(b(a)).\nAnswer: -261*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -23. Let k = -8 + -1. Is (l\/k)\/((-2)\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + 41769?\nAnswer: 41738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (592\/(-4440)*25\/(-60))\/(2\/9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.5, -8, -11\/5, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202022202020 (base 3) in base 6?\nAnswer: 12324010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3332.5887935064 - -0.7.\nAnswer: 3333.2887935064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*n + 2*m, n + m + 2 = -4*m. Let c(h) = -h**2 - 2*h. Let q be c(-4). Let t(s) = -2*s - 1. What is the remainder when t(q) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s. Let w(n) = -8*n. Let f(j) = 7*g(j) - 6*w(j). Let u(c) = 3*c**2 + 4*c. Calculate -5*f(m) - u(m).\nAnswer: -3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 64651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 16*r - 21 = -34*r - 2*c, 0 = -5*c for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*u - 26, -3*b + 2*u - 2 = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q - 3 - q**3 + 10*q**3 - 4 + 0 - 7*q**2 + 2*q**3. Let o(w) = -5*w**3 + 3*w**2 - 3*w + 3. Give 7*o(m) + 3*y(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 16368*n**2 - 1023*n + 1705. Let q(m) = 287*m**2 - 18*m + 30. Let g(s) = -6*i(s) + 341*q(s). Let x(d) = 4*d - 4*d + 2*d. Determine g(x(u)).\nAnswer: -1364*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 9) in base 11?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(-4*v + 4*v - 2*v**2) - 53*v**2 + 0*v**2 - 9*v**2 - 2*v + 5 to r*v + u*v**2 + w and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 3*o**2 + 3*o - 7. Let l be m(-4). Calculate the remainder when l + (-56)\/(-2 - 2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0 = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14442698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-146300)\/(-6094)) + 147 + -107.\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20868 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (61 - 1) + 2 + 0. Let s be 1 - 0 - (z\/2 - 1). Let k = s - -29. Are k and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t. Let l(j) = 6*j. Let k(n) = 5*a(n) - 6*l(n). Suppose 292 = 2*s + 2*s. Let x(i) = -7*i**2 + 73 - s. Calculate k(x(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 498 + -8?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 9:23 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.306818km in centimeters?\nAnswer: 30681.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2224 and 29746?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25638487 or 25638488?\nAnswer: 25638488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.117.\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266*d - 702*d + 348*d - 641*d - 430*d to the form n + h*d and give h.\nAnswer: -1691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(475) + (3*(-1 + sqrt(475)))**2 + sqrt(475)) + 5*(sqrt(19) - ((-1 + sqrt(684) - sqrt(19) - sqrt(19))**2 + sqrt(19)))*-3.\nAnswer: -440*sqrt(19) + 21711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 4 + 6 - 2*i**3 + 7*i**2 + 24*i - 29*i. Let m(b) = -b**2 + 4. Let q be m(0). What is the lowest common multiple of f(q) and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*j - 5*j**3 + 275*j - 140*j to the form t*j + p*j**2 + a + g*j**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 54\/11, 2\/5, 1\/25 in descending order.\nAnswer: 54\/11, 2\/5, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/6 + 3\/18*-27?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -18*z + 1428. Let a(x) = -10*x + 714. Determine -7*a(m) + 4*q(m).\nAnswer: -2*m + 714","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 5*y - 4. Let c be t(-7). Let b = c + 40. Is (2 - b\/6)*4 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33936 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -1\/242?\nAnswer: -1\/242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(110)\/sqrt(2))\/(sqrt(60)\/(sqrt(24)\/sqrt(2))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 2221210102212101?\nAnswer: -2221210102212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -9*n + 834. Calculate the highest common factor of n and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 8*q - 7. Let g be o(-7). Let c(s) = s**2 - 2*s - 5. Let p be c(5). Is 3 a factor of (-8)\/p*(g + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 64, 68, 72, 76?\n\"Answer: 4*j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1189, -1331, -1545, -1831, -2189, -2619, -3121?\nAnswer: -3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/3 + -2 + 24. Suppose -3 = -4*y + q. Calculate the least common multiple of 0 + -1 + 0 - -9 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.135316 and 0.3?\nAnswer: -0.0405948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:47 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 4 + 3*m**2 - 6*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8 + 1 + 2*y - 9*y + y**2. Let t be w(6). Suppose o - 4 = 5*o. Sort -3, t, o in decreasing order.\nAnswer: t, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 757450 and 97450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, f: 2, e: 1}. What is prob of picking 2 f and 2 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 77*f**4\/6 - 36*f**3 - 233*f + 226. Let p(h) be the first derivative of g(h). What is the second derivative of p(b) wrt b?\nAnswer: 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*l**2\/5 - 34*l + 16\/5 = 0.\nAnswer: -1, 8\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2173*b = -2175*b + 4*a - 28, -5*a + 34 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (1 + -2)) + 2900\/20. Calculate the highest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qfidfiii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 32. Calculate k(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050198.\nAnswer: 2, 3, 101, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17063284.8 * 1.\nAnswer: 17063284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 9*w**2 - 13*w - 6. Let o be q(7). What is the first derivative of -10 + y**2 + y**2 + o - y**2 wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95? (a) -1\/6 (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36 and 49\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -2 + 3)*(-4)\/(-2). Let n be (o\/170)\/((-6)\/(-20)). Are 1 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1416*h + 3*m = -1416*h + 3, 0 = -5*h - 4*m - 5 - 5 - 16 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 216 (b) -2\/11 (c) 5 (d) -2.603\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -13*p**5\/5 - 11*p**4\/12 - 8*p**3\/3 + p**2 - 93*p. List the prime factors of f(-2).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15270202.7 to the nearest one hundred thousand.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 12 + (0 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -96. Let z(d) = -s*d**2 - 15 + 24*d**2 + 15. Let m(f) = -2*f**2. Determine m(z(r)).\nAnswer: -3872*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*m + 202, -4*m - z + 384 = -3*z. Suppose 2*a - m = 5*b + 44, 0 = 5*a - 4*b - 310. Calculate the remainder when a is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t + 102 = 0. Suppose 5*m - 1 = t. Solve -5*j = -n - 7 - 6, n + m = 2*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 87*h = 803 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 30350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802249.\nAnswer: 7, 31, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gaoggogoooo. Give prob of sequence oooa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 5*h**4\/3 - h**3\/6 - 7*h**2\/2 - 6*h. List the prime factors of r(3).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74366706.\nAnswer: 2, 3, 31, 73, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85.9 - -85. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 + 163. Differentiate -14 - 2*f**2 - c*f**2 - 5 + f with respect to f.\nAnswer: -32*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*g**3 + g**3 + 0 + 0 + (g**2 - g**2 - 2*g**2)*(-3*g - 3*g + 5*g) - 5*g**3 - 3*g**3 + 6*g**3 - 17*g**3 + 6*g**3 - 13*g**3.\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1, -191, 34 in decreasing order.\nAnswer: 34, 4, -1, -2, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -2*l, -2*l + k + 6 = 3. Solve l - 1 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 0) + -426 + 387?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 13 = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/12 - d**3\/6 + 5*d**2\/2 - 22*d. Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/246240 and 7\/91200?\nAnswer: 2462400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17060 - -16989. What is the biggest value in t, -10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356054573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)\/(1\/5). Suppose -k = -t + 2. Is (1 - k) + (-64)\/(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 20*m**2 - 2*m - 43. Give r(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5285 - 5280. Solve 3*u - 16 = -n*j, 3*j = 4*j - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.25 + -39.65. Which is the fourth biggest value? (a) -0.2 (b) -5 (c) 76 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25682\/429 - 676\/11. What is the common denominator of l and 64\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/12)\/(270\/216*(-2)\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10959521822 - -3267.4.\nAnswer: 10959525089.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-9646)\/1272))\/((4\/(-78))\/(-1))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/117 - 1909\/1638. Let u(o) = -3*o**2 - o - 1. Let i be u(-1). Calculate the common denominator of (-42)\/33 - i\/(-6) and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -633 divided by 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -2)*8\/24. Factor -d*q + 0 - 2\/3*q**2.\nAnswer: -2*q*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhg when three letters picked without replacement from {g: 5, h: 2, u: 12}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17707 is divided by 311.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2 - 12. Let s be (24\/(-20))\/(2\/(-10)). Let a be (8\/s)\/(2\/(-6)). Put a, c, 0 in decreasing order.\nAnswer: c, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1164 and -137\/12804.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2064320 + -1?\nAnswer: -2064321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r - 1170 = 405 + 45 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 145 - 73 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.2 and -2318470?\nAnswer: 72336264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-27)*((-2970)\/1265)\/(-6)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + j + 2 = 0, 4*b + 4*j + 3 = -5. Let g = 2 + -7. Let c = g + 3. Put -1, b, c in decreasing order.\nAnswer: b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 0.27372217.\nAnswer: 0.72627783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71781 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -20, 24 = 4*s + 5*y - 4*y. Let m = 72 - 66. Suppose m*t + 9 = -9. Put 7, s, t in decreasing order.\nAnswer: 7, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(528) - sqrt(528)*-1)\/sqrt(12)*5 + (sqrt(704) - (sqrt(704) - (sqrt(704) + -1*sqrt(704)*3))))**2.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-200)\/(-10) - (1 - 2). Calculate the highest common divisor of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/5))\/(i\/(i*i\/(i**(-3\/7)\/i))) assuming i is positive.\nAnswer: i**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 12*w. Suppose 0 = 3*u + y + 3*y - 628, w = 4*u - 3*y - 829. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or -250924?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31809 and 2484.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.671 + -3.409. Let k = -1.22 + u. Round k to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 6 + 0*n - 11\/2*n**2. Let i(x) = x**2. What is d(i(t))?\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*j**3*q*v - 124*j**3*q + j**3 + 19*j**2*q*v - 3235*j**2*v wrt j.\nAnswer: 168*q*v - 744*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 6. Let g(s) = -s + 1. Give 4*g(r) + k(r).\nAnswer: -6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1845, 5, 15\/2, 0.18, 0.11 in ascending order.\nAnswer: -5, 0.11, 0.18, 5, 15\/2, 1845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 2*s + 4. Let g be a(-6). Let n be 59\/(-5) - (-4)\/g. Let q = 24 + n. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268948047698*g**2\/15 - 5867312*g\/15 - 32\/15 = 0. Calculate g.\nAnswer: -4\/366707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 2307 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 6*r + 5. Let g be z(-5). Let x be g + 2*(-3)\/6. Suppose -2*v + x = 1. Which is smaller: v or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/665)\/(41997\/265981).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -125581655*x**4 - 72951141?\nAnswer: -502326620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 240*t - 218*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*v - 0 - 4, 5*l - 2*v - 24 = 0. Let w = 13084 + -13081. What is the third smallest value in w, l, -2\/17, -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 279 + -274. Suppose 37*f - 3*f + 2*f**2 - 4*f**2 + 8*f - 96 + j*f**2 = 0. What is f?\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b**3 - 1. Let h be k(1). Suppose -36 + h = -8*z. Solve 2*v - 16 = -r - 3*v, r + z*v = 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*l - 2 - 2, 0 = -2*j + 3*l + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3865*n**2 - 35*n + 8 wrt n?\nAnswer: 7730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 3:11 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 658822+7\nAnswer: 658829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -168, -253?\n\"Answer: -85*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 242.555839 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -6, -1, -18, 0 in decreasing order.\nAnswer: 3, 1, 0, -1, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/12)\/((-1)\/2). Suppose 5*d - 2*c + 8 = 6, 0 = 5*c + 20. Let m(k) = -3*k + 2. Let f(n) = 16*n - 11. Determine d*f(w) + j*m(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 12 - 10. Let f be (4\/(-20))\/((-4)\/40). Solve -f*l + 3*l - z = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24981225 and 62925.\nAnswer: 24981225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 3. Let a be d(0). Suppose 0 = x - 3 - a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-12))\/(35\/(-15)*1). What is the closest to 2\/5 in t, -3\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 85*d - 10*d)*(5503 + 124*d**2 - 5503).\nAnswer: -11284*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19772648 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**8)\/m)\/m**6)\/(m**(-2\/3))**(-26\/9) assuming m is positive.\nAnswer: m**(29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3 + 2 - 6. Let d(f) = f**2 + 3. Determine d(r) + 2*g(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {f: 2, v: 7, q: 6, b: 1, c: 2}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 65 (c) 1\/15 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7263\/4 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09974763346 to four decimal places.\nAnswer: 0.0997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000286943 rounded to five decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*v**3 - 2*v**4 + 6 - 33*v**3 + 394*v**2 - 394*v**2 + 2*v to r*v + z*v**4 + p*v**2 + u*v**3 + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 194?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7748543 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2 + 549929*b + 2296184?\nAnswer: 4*b + 549929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1947 and 85\/227976.\nAnswer: 2507736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -145393580714 take away 610?\nAnswer: -145393581324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2498*h + 2504. Determine y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -73?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 83*f**2 + 62*f + 346. Give n(-5).\nAnswer: 2111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (14 - -1)) + 0. Let g be (-4)\/t + (-349155)\/7. Let d = g + -9121. What is d rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*n + 6. Is 4 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214412 divided by -2\nAnswer: -107206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 68*w - 512. Determine u(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 746999794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400 divided by 2819?\nAnswer: -5400\/2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6300 is divided by 2100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.27+-262.339743\nAnswer: -262.609743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4520 in 0.5, 5, -3\/383, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-5)*3\/9. Let u be 4\/(-4*(-2)\/4). Factor 2\/5*x**4 - a*x**3 + 0 + 2\/5*x - 2\/5*x**u.\nAnswer: 2*x*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10520 = -3*n - 2*o, -n + 3503 = -0*o - 3*o. What are the prime factors of n?\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*g - 2. Is (-3 + 5)*226\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27906 (base 10) to base 16\nAnswer: -6d02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 59 - 56 = 0. Let w be (87 - 2)*12\/t. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 15*w - 42. Let f be g(-12). Let q = f - -86. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/432 and 59\/336?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10998 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 157\/3. Let n = -5459 - -5459.3. Which is the nearest to 2\/13? (a) 0.5 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16 + 10*o - 15*o + 18*o + 2*o**2. What are the prime factors of r(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*q**2 - 58*q**2 - 61*q**2 + 422*q**2 - 66*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*q**3 + 5*q**5 - 10*q**3 + (4*q**4 - q**4 - q**4)*(-q + 0*q + 2*q) + (-2 + q**2 + 2)*(-5*q**2 + 8*q**3 + 5*q**2) + 0*q**5 - q**5 + 0*q**5.\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/7 in 1\/5, 2\/49, 5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/9)\/(1*5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.12 + -20. Let h = p - 0.09. Let c = 2.97 + h. What is the nearest to c in -5, 4\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80702832 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8 and -89\/148.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + sqrt(13) - (sqrt(13) + (sqrt(39)\/sqrt(3) + 5 - sqrt(13))).\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 12\/49 (c) -34 (d) 4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300202211 (base 5) to base 15.\nAnswer: 184271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*r**3 + r**2 - 2*r + 1083 wrt r?\nAnswer: 36*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 4*n + 3*n**2 - 6*n**2 - n**3 - 2*n**2 - 2*n**2 + 2. Calculate p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 98743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5634 = -16*g + 5394 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*z + 282*z - 22 + 11 + 87 + 38 wrt z.\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 22 = 5*a, -62013 = -x - 5*a - 61999 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -1019, -2290, -4069?\nAnswer: -6356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284678331?\nAnswer: 3, 7, 571, 23741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7*((-988680)\/2475)\/(-214)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 653 (b) 3\/22 (c) -1\/6 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y - 68*y + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2 - 10. Suppose x*n - 98 = -32. Let t(q) = -2*q. What is the least common multiple of n and t(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -25, -25, -29?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(4\/11)*d)**(9\/5))**(-23\/5))**(-18\/11) assuming d is positive.\nAnswer: d**(137862\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z + 13*z**2 - 3\/16*z**3 + 9\/160*z**5 + 0 - 1\/80*z**6 + 5\/32*z**4. Solve c(v) = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -4, 5, -0.061, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, t: 10, v: 2}. What is prob of sequence vtv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -41*y**2 - 2. Suppose 4*f - 8 = 0, 2*z + 3*f = 7 + 9. Let t(w) = z*w + 3*w - 4*w + w - 3*w. Give c(t(q)).\nAnswer: -164*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/45*5\/2. Sort c, -6, 2\/3 in decreasing order.\nAnswer: 2\/3, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*((l\/l**(-6))\/l)\/l)**(20\/11) assuming l is positive.\nAnswer: l**(92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 36*b = 33*b - 63, -4*q = 4*b - 92. Suppose 6*m + 2912 = q*m. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5))**(-28)\/(o\/(o*o**(-6))*o*o*o**(3\/4)\/o*o) assuming o is positive.\nAnswer: o**(-287\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6673886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 5, -24423?\nAnswer: -24423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 9*z**2 + 2*z - 13. Let g be n(9). Suppose -g*a + 1297491 = -3202524. Let f be 4 + -4 + 3 - a. What is f rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a + 30. Let q(t) = 5*t + 26. Let g(d) = 6*c(d) - 7*q(d). Let w(r) = -2*r + 1. What is g(w(s))?\nAnswer: -62*s + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 9*u - 10. Let r be o(-10). Suppose r = -5*c + 2 + 3. Solve 0 = -5*q - 2*w + 7*w - 20, w = c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 1, t: 1, p: 2}. What is prob of picking 1 i and 1 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102341909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (1 - 103)\/((-32)\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9\/5)\/(v*v\/(v\/(v\/(v*v**17)*v))*v) assuming v is positive.\nAnswer: v**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z + 2*z. Find the common denominator of (z - 6)*(-13)\/(-16) and (14\/(-80))\/((-312)\/832 + 2\/(-80)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2736))*3 - (sqrt(2736) + -5*sqrt(2736)*1))*-2)**2.\nAnswer: 2016*sqrt(19) + 536292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -222 + -372. Let q = 596 + a. What is the nearest to 0.2 in q, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8289995953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + 15?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 1. Let w(l) = l - 5. Let p(q) = -5*d(q) - w(q). Let k(o) = -2*o**2. Calculate k(p(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 397 + c?\nAnswer: 3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19004546, 19004547, 19004548, 19004549?\n\"Answer: o + 19004545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -702 by -78.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 y, and 1 f when four letters picked without replacement from fyfzztfztftggftffgt?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119.4 + 119.1678. Let i = 0.23 + j. Round i to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -10. Let q(l) = l**3 + 7*l**2 + 2*l - 2. Let w be q(-3). Let z be (-2)\/6 + w\/63. What is the third smallest value in 0, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 + 169733.2198?\nAnswer: 169733.2208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 17 (b) 29 (c) 3 (d) 0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - -1. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -337, -673, -1009, -1345, -1681?\n\"Answer: -336*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-2 + 0))\/((-14)\/56). Let q(o) = -o**3 + 11*o**2 + 11*o + 17. Let t(r) = r + 3. Let f be t(9). Let j be q(f). Sort j, -3, x.\nAnswer: x, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5771900 to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 126892 from -3.5.\nAnswer: -126895.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 25, -2*k = 3*q + 2*q - 110. Suppose 2*r - 14 = q. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -29, -4, -5 in increasing order.\nAnswer: -29, -6, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 484\/16. Let n be (25 - 40)\/((-3)\/(1 - 0)). Suppose -5*s + 30 = -n*c, 2*c + 2 = -s - 4. Solve s*u + 2*h = 16, u + 5*h = -2*u + y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + 2 + (2 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 4*j**2 + j - 1. Suppose -c = -4 - 1. Suppose 20 = -a + 4*p, -c*a - 4 = -2*a + 2*p. Give k(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1045000 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 552264226 to the power of 1\/3, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {y: 2, f: 2, o: 1, b: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let o = 3 + r. Suppose 4*q = -2*i + 20 + 12, 0 = o*q + 2*i - 24. Calculate the greatest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3060 - 3016, -4*z - 3*l + 267 = 0. Calculate the remainder when 137 - 2*(4 - 3) is divided by z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -5. Let i(r) = 0 + r - 4 + 5 - 8. What is the units digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 104862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/17)*l)**(-18)*l\/l**(-31)*l**(-11)\/l assuming l is positive.\nAnswer: l**(-20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961642974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2436366163 - -1096.2460636163. Let b = z + -1096. Round b to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -2?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 3*j - 2*j + 64 - 64 + 21*j + (-j - 3*j + 3*j)*(-1 + 4 - 2) - j - 2*j + j - j - 4*j + 3*j to the form q + v*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -15552400 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 191119, 1528952, 5160227, 12231664, 23889983?\n\"Answer: 191120*c**3 + c**2 - 10*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483 - 307 = 147*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15408.9 or 94\/17?\nAnswer: -15408.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 130\/14 + (-30)\/7 + 4. Let j be 24 + 0 - 54\/s. Calculate the highest common divisor of j and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 105*t. Let g(n) be the third derivative of -n**4\/8 + n**3\/3 - 7*n**2 + 519*n + 2. Give g(k(f)).\nAnswer: -315*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let h = 2 - 2. Suppose h*q + 12 = v - 5*q, -v + q + 8 = 0. Solve -4*k - 13 - v = g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2804 and 55404236.\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) + (-14)\/(-21). Let c = -0.03 - 3.97. What is the third smallest value in c, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {m: 7, c: 1, g: 2, x: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 24*v**2 + 9*v + 18. Determine o(-3).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 411, 3220, 10841, 25680, 50143, 86636, 137565, 205336?\n\"Answer: 401*n**3 + 2*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 294, 2, 1\/7 in decreasing order.\nAnswer: 294, 2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 257428 to the power of 1\/2, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 846348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -656973909*w**2 + 212055570 with respect to w.\nAnswer: -1313947818*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.189 + 0.189. Let h = -58 - i. Which is the smallest value? (a) h (b) 14\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 43. Let z(o) = a*o**2 + 9*o**2 - 6*o**2. Let i(f) = 3*f + 0*f + f - 2*f. Determine z(i(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-2 + 1\/(-1)). Find the common denominator of (8\/220)\/((-12)\/45) and (-134)\/16 - j\/(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3)*(1353 - 1353 - 165*f + (-f + 0*f + 0*f)*(-3 + 0 + 4)).\nAnswer: -664*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 314 + -312. Calculate the lowest common multiple of 102 and a\/((-4)\/(-48)*4).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*w - 13*w + 12*w - 6, 0 = 2*w + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h - 16. Suppose 12 = -6*y + 6. Let o be q(y). Let z(j) = -9*j**2 + j + 2. Let s be z(-2). Is s < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6002 - -6005. Let z(v) be the third derivative of -1\/15*v**5 - 18*v**2 + 0 + 0*v + 1\/6*v**i + 0*v**4. Calculate z(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 16*z - 21. Let h be t(15). Let n(d) = d**2 - 5*d - 9. Does 19 divide n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*i + 11*i**4 - 32 + 32 wrt i.\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127085 or -1040?\nAnswer: -1040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 112. Suppose 9*j - z*j + 88 = 0. Put -4, -2, j, -3 in decreasing order.\nAnswer: j, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {n: 3, d: 3, w: 10, x: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 910 = -47*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175750?\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -62. Let g be n - ((-36)\/(-54))\/(1\/(-9)). Let d(w) = 7*w - 25. Let q be d(g). Solve -i = -q*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-24)\/4 - 27. Let v = 86 + f. Suppose -57 = -9*g + 6*g. What is the remainder when v is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/14 - (-2)\/(-7). Let w = y - 12. Let c(r) = -6*r**3 - r**2 - 6*r. Let x(i) = -5*i**3 - 2*i**2 - 6*i. Let h(j) = -4*c(j) + 5*x(j). Calculate h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/(9\/(-24)). Suppose 15*z = 5*z - 80. Put z, 2, o in descending order.\nAnswer: o, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - y = y - 93, -s = 3*y - 31. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04487 + 87.07513. Round f to zero decimal places.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.23? (a) -0.6 (b) -2 (c) 2 (d) -1.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 44*x - 2. Let f(r) = -15*r + 1. Let q(v) = -3*f(v) - t(v). Let b(o) = -7*o + 4. What is b(z) + 5*q(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1012 and 67985516.\nAnswer: 747840676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 913.0801 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127713074.\nAnswer: 2, 5227, 203531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 4*z + 2. Let h be b(2). Suppose 3*x = -2*q + 12, 0*q - 2*x = q - 7. Find the third derivative of y**4 + q*y**2 - 3*y**4 - 4*y**h wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1885 + 3270. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 7*j**2 - j - 10. Let i(s) = s**3 - 3*s**2 - 3*s + 2. Let g be i(3). Determine u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104.7428ms in weeks?\nAnswer: 0.000001826625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/9 + 10\/(-45). What is the smallest common multiple of 6 and -3*k*(-15)\/(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:08 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/7 + (-424)\/(-53).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(-2*sqrt(10)) - (sqrt(1053) + -2*sqrt(1053) + sqrt(1053))) + (6*(sqrt(13) - -2*sqrt(13)) + 2)**2.\nAnswer: 143*sqrt(13)\/2 + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -410.3 + 410. Which is the third biggest value? (a) 0.3 (b) 0.03 (c) k (d) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/((-18)\/(-14))*(-390)\/(-1800) and -85\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19315\/18 + -9592\/9. Let l be 4\/(-8) + (-16469598)\/(-468). Let m = 35189 - l. Find the common denominator of z and m.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-342 - -349) + (-14 + 14 - (3 + (2 - 2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z = 4. Suppose -2*h = 2*l + 6, -z*h + 4*l + 12 = 3*h. Let w(n) = -n**3 + 6*n**2 + 3. Let t be w(6). Put t, 2, h in descending order.\nAnswer: t, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 10. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 12462*t - 12407*t + 34*t**2 + 2.\nAnswer: 34*t**2 + 55*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*s**4 - 4 - 4*s**3 - 3*s**2 + 54*s**4 + s + 3*s**4 + 2*s**2 in the form p*s + y*s**4 + h*s**3 + v + z*s**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*(167 - 167). Solve 8 = 6*b - 8*b, -3*t + 5*b + 29 = j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -2.6 (b) -1\/4 (c) 2\/5 (d) -1\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77.084 - -0.084. Let h = k + 119. Which is the third smallest value? (a) h (b) -1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 128. Is (310\/(-6))\/(15\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2. Let h(p) = 132*p. What is y(h(b))?\nAnswer: -34848*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 491*o**3 - 2480*o**2.\nAnswer: o**2*(o - 5)*(o + 496)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/1125102 and 49\/14626326.\nAnswer: 14626326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ras when three letters picked without replacement from salrslrllllllhss?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-10)\/(-4)*(-2)\/50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(1008))*-2 - 1*(2 + sqrt(1008) + (sqrt(1008) - (2 + sqrt(1008))))) + -1)**2 + -5.\nAnswer: -120*sqrt(7) + 25196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.8043 weeks in seconds?\nAnswer: 240592040.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3259205304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 392*m**3 - 2388*m**2.\nAnswer: m**2*(m - 398)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000527959 rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -600 by -3.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 9, f: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 4. Let z be h(3). Suppose -4*t = -12, -2*t = 8*c - 4*c + 18. Let b = z + c. Calculate the smallest common multiple of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1342303021 + 340?\nAnswer: 1342303411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 2 - 2 + 0*g - 4*g**2 to r + b*g + p*g**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*p**2 - 44892*h**3 + h**2*p**2 + 1940*p**2 with respect to p.\nAnswer: 4*h**3*p + 2*h**2*p + 3880*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 10 + 25. Suppose -4*k = -4*i - 4, 8 + v = -3*i - 3*k. Sort -5, 1, i in increasing order.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d**3 - 25*d**2 + 25*d**2 - 5*d + 5*d.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 5:14 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 6*l + 19. Calculate x(7).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvivzvvmzvnvvmvvvlvv. Give prob of picking 2 m, 1 v, and 1 i.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-26)*x**(-11) assuming x is positive.\nAnswer: x**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 483492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2639952 divided by 81\nAnswer: 32592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.287675 minutes?\nAnswer: 17260.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (1 + sqrt(448) + -1 - sqrt(448)))**2*1 + (sqrt(28) + -2*sqrt(2800) + sqrt(2800))\/(sqrt(12)\/(sqrt(3) + sqrt(12)\/sqrt(4))) + 4.\nAnswer: -18*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*j + 12, -5*j + 24 = 2*v + 2*v. Suppose -1 = -2*n + 5, -3*t = n - v. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2)*1)\/(50\/60).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/2187963 and -76\/237249.\nAnswer: 19691667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 32. Let h be k(-16). Let a(q) = -1 - 2*q + 0 + h + 2. Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -35*f + 922. Give h(27).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, b: 1, u: 1, a: 1, z: 2, q: 2}. What is prob of picking 1 a, 1 q, and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i**2 - 2. Let t be r(4). Let a = t - -19. What is the common denominator of 362\/(-24) + a\/4 and 95\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(4 + -14) + 8 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2 + 2)*(-4 - a + 4)*(-10 - 1 - 1) + a**2 - 2*a**2 - a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 + 509*t + 71 - 28 + 4*t + 0*t - 6*t + (1 + 0 - 2)*(2*t - t + t) as l*t + o and give l.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three fifths of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-25 + -14)*1*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 73203\/6926?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008019371652 rounded to five dps?\nAnswer: -0.00802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(13) + -3 + -3)**2 - (-5 + (sqrt(208) + -3)**2))*1.\nAnswer: -160 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*z + 2 = -1, -4*b - z + 13 = 0. Let j(o) = 2*o**2 - 4*o**2 - b*o**2 + 4*o**2. Let v(n) = 2*n. Calculate v(j(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - -1b3a?\nAnswer: 1b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31*(2 - 1 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -1895366?\nAnswer: -189534a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {z: 7, r: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2. Let b(x) = -1. Suppose 9 = -3*g + 3*n, -3*g - 2*g + 2*n - 24 = 0. Let y(q) = q + 6. Let z(f) = g*b(f) - y(f). What is o(z(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 6*c + 4. Let l(v) = -4*v + v + 5*v. Let i be l(3). Let h be x(i). Solve -2*f - 5 = s, 3*f + 5 = -2*s - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**7\/840 + t**5\/60 - t**4\/3 + 5*t. Let b(c) be the third derivative of m(c). Differentiate b(z) with respect to z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2136*-0.1082.\nAnswer: -231.1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18)\/(4\/(-8)*(-34)\/(-4)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11163775.\nAnswer: 5, 7, 63793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -296 + 307. Calculate the greatest common factor of 891 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -20, 0.08?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let x(t) = -5 - 1 - 2*t - 3*t. Let v = 60 + -62. Let l(o) = -o - 1. Let u(p) = v*x(p) + 18*l(p). Determine 2*u(a) + 14*w(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2 - 22*j\/3 - 7\/3 = 0?\nAnswer: -7, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6, 3\/4, -0.1, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -13 + 76 + -45.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 0 + 33 + 0 + -9 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.435 * -20271.\nAnswer: 29088.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/421 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468, 466, 464, 462, 460, 458?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*n + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004432292487 to 7 decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270416*l**3 - 206949*l.\nAnswer: 1622496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 - 2*f - 10. Let j be s(-8). Solve 4*h - j = -y + h, -y = -5*h + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782557111?\nAnswer: 3, 701, 1323137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2908293 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 505, 491, 477, 463, 449, 435?\n\"Answer: -14*w + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/24)\/(2\/264). Let u(m) = 10*m**3 + 2*m - 1. Let s = -2 - -3. Let g be u(s). Calculate the greatest common factor of g and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 4*p - p. Let k = p - -47. Solve -2*n + k*n - 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 - (7 - (6 - 2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36982464 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5443568756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295316 rounded to six decimal places?\nAnswer: -0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = 0. What is the second derivative of k - 4*k**5 + k**5 + 0*k + q*k wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029461841 rounded to 7 decimal places?\nAnswer: -0.0002946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*t = 15, -t - 15 = -0*u - 4*u. Let j(o) = 3*o + 7. What are the prime factors of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 30 = 0. Let f = 13\/451 - 969\/902. Calculate the common denominator of f and 214\/(-32) - q\/(-8).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 3*a + 2. Let l(u) = 2 - 4 - 5 + 4 + 3*u. Let x(k) = -3*d(k) - 2*l(k). Solve x(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436 equal to 5432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 21*h - 176. Solve 2*k + 1 = -u, -5*u - 12*k + 1 = -h*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.035 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-23)\/(v\/((v*((v\/v**10)\/v*v*v)\/v)\/v))*v\/(v*v**(-2\/53)*v)*(v*v**0)\/v*v*v*v)**27 assuming v is positive.\nAnswer: v**(-44307\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00160247975 to five dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose 0 = -d + 5 - 2, 22 = q*r + 4*d. Let g = 9 - r. Sort -4, g, 1.\nAnswer: -4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 10. Let f be (0\/5)\/(-2*d). Solve -n - 5 = -f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9574548714 rounded to two dps?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 391267000 to the nearest 1000000.\nAnswer: 391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -88, -129, -170?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*p**2 - 124 + 124 - 58*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/89 (b) 4 (c) 5\/3 (d) -3 (e) -17 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 11121 (base 3) to base 10\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -42*n + 15 - 63*n + n**2 + 146*n - 60*n. What is w(13)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 4\/(-8))*34. Let s = p - 11. Which is smaller: s or 27\/5?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(4\/2 - 5). Let k = g - -2. Let j be ((-168)\/k)\/(5\/(-25)). Calculate the greatest common divisor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -32.4. What is the nearest to -2 in n, 1, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23378617\/474 + 49322. Calculate the common denominator of -65\/48 and o.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70842 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: Let h be 33\/(-36) - (-6)\/9. Let o = -37.29 + -1.71. Let w = 43 + o. Which is the closest to -0.2? (a) h (b) w (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 44*w - 10299. Calculate j(50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*-1*3\/(-2). Let p(q) = q**3 + 8*q**2 + 10*q + 8. Let v be p(c). Suppose 0*b = -2*b + v. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 26 + 10*l**3 - 18.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5241*v + 556*v - 4243*v = 410688 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -184*k - 47660. Let g be p(-259). Suppose 2*s - 24 = 4*l, 2*l + s - 5*s + 24 = 0. Let b be (6\/4)\/((-3)\/l). Put g, b, -3, -14 in descending order.\nAnswer: b, -3, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -19. Let g = -11 + x. What is the derivative of -g*u - 6*u + 0*u + 2 - 12 wrt u?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6, 0*s = -4*w + 5*s + 81. Let m(p) = 3*p**3 - 7*p**2 - 18*p + 39. What is the remainder when m(4) is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f. Let j(s) = 2*s**2 - 3*s. Suppose -10*b = -4*b - 36. Let w(u) = u**2 - 2*u. Let y(v) = b*w(v) - 4*j(v). What is a(y(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m + 2*m - 3*m)*(2*m**2 + 0*m**2 - m**2) + (-5 + 2*m + 5)*(214*m**2 + 253*m**2 - 338*m**2))*(6*m**2 - 3 + 3).\nAnswer: 1542*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 11:44 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t**3 - 3*t**2 + 7*t + 2. Let q(s) = -4*s**3 + s**2 - 2*s - 1. What is 2*h(i) + 7*q(i)?\nAnswer: -4*i**3 + i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69786\/25 or 2792?\nAnswer: 2792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.5 (c) -3 (d) 4 (e) 18 (f) -723 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3628837 is divided by 3628784.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -24. Let j(q) = -q - p + 12. Let y(w) = 7*w**2. Give y(j(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 70*m**3 + 10*m**2 - 4*m - 5. Let a(q) = -71*q**3 - 8*q**2 + 3*q + 3. Determine -4*a(s) - 3*h(s).\nAnswer: 74*s**3 + 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 379*i**2 + 445*i - 22367. Give u(-188).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + f - 2*f + (3*f - f + 2*f)*(-7 + 3 + 1) - 4 + 4 - 3*f to y + z*f and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 405 + -399. Suppose 0 = 5*n - u - 82, -2*n - 3*n = 3*u - 74. Calculate the remainder when x - 3 - (-21 + -2) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 5 (b) -5 (c) 3\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 188 + 77. Let k = -51 - f. What is the derivative of 3*v - 3*v - k*v**3 - 58 + 46 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6982.\nAnswer: 2, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-12))\/(1\/4). Suppose 2*u + 4*z - 10 = -0*u, 20 = -4*u + 2*z. Let d = u + 8. Solve -a*q + 5 = -d*h, -2*h - 18 + 47 = 5*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552197 is divided by 1291?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j**2 - 19060*j - 57273. Calculate c(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63654 - 4?\nAnswer: 63650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*r - 1960 = 24*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**4*t*t*t)*(t**5\/t)\/t)**29)**11)**(-28\/5) assuming t is positive.\nAnswer: t**(26796\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.6 - 13.9. Let t = -0.5 - 0.1. Let r = j + t. Which is the smallest value? (a) 6 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 3*k**2 - 2*k + 1. Let p be b(-2). Let m(d) be the first derivative of -2\/3*d**3 + p + 0*d + 0*d**2. Let z(t) = 2*t**2. Give m(z(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g**3 + 9*g**3 - 10*g**3 + 62*g - 62*g - 27*g**3 + (-2*g + 2*g + g)*(2*g**2 + g**2 + 0*g**2) as x*g**3 + v*g + c + h*g**2 and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32760804, -32760803, -32760802, -32760801?\n\"Answer: t - 32760805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 1.22909.\nAnswer: -1.32909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53666563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1102*z - 8931. Give o(-8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199\/42 + -32\/7. What is the closest to 1 in p, 0, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/2180571?\nAnswer: 1\/2180571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9865*m + 16013 wrt m?\nAnswer: -9865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c*t**4 - 6645027*c*t**3 - 18*c*t**2 + 2896484*c + 1 wrt t?\nAnswer: 144*c*t - 39870162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 16\/6 - (-91)\/(-3). Let m = -452\/15 - h. What is the smallest value in 0.3, 5, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*g - 169*g - 172*g + 24*g**2.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Suppose 0 = 3*s + s - 8. Let o(t) = -2 - 6*t - 4 + s. Give -4*m(y) - o(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 53. Let m = p + -3. Solve 4*y = 2*y + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103342*0.3.\nAnswer: 31002.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**4 + 10*m**3 - 5392*m**2 + 31248*m - 26 wrt m.\nAnswer: -108*m**2 + 60*m - 10784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v = 24*v. Let l(w) = -w**2 + 6*w - 4. Let u be l(4). Sort v, 1, u.\nAnswer: v, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let m(u) = 4203*u + 1330. Calculate m(b(g)).\nAnswer: -8406*g + 1330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08411 + -0.01589. Which is the closest to -3\/11? (a) x (b) -1 (c) -0.3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*u + 30, 45 = 4*a + 3*u - 4*u. What are the prime factors of a + 0 - (2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-23)*v*v*v\/(v**(33\/2)*v*v)*v\/(v\/(v\/(v*v*v\/(v**(-32)*v)*v)))*v**4)**(-19) assuming v is positive.\nAnswer: v**(817\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 + -69*8\/(-168). Let i(t) = 146*t - 300*t + 161*t + 7*t**2 - t**p. What is i(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 9*d**2 + 17*d + 22. Let x be a(-7). Let h(r) = 16*r - 1. Let q be h(x). Suppose n = -2*n + 12. Solve -g = n*g + q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -450. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3296106, 3296101, 3296096, 3296091, 3296086, 3296081?\n\"Answer: -5*y + 3296111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66947*c**2 - 53691*c wrt c?\nAnswer: -133894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = d - 3*g, 2*d + 2*d - 34 = -5*g. Is -1\/677 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*n**4 - n + 110 wrt n.\nAnswer: -684*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4928 and 288.\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6)*(-1 - 2). Let c = -2 + n. What is the second derivative of -4*w + 2*w**c + 4*w - 2*w wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 17*p**2 + 57*p - 430. Does 9 divide r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, 11, 2\/3, 25, -0.2 in descending order.\nAnswer: 25, 11, 2\/3, 2\/9, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**7\/35 - 2*d**5\/15 + 7*d**2\/2 + 7. Let c(z) be the second derivative of t(z). Find the third derivative of c(a) wrt a.\nAnswer: 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.0673 (b) 1\/5 (c) -5 (d) 2\/27 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 divided by 567?\nAnswer: 562\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 3*k + 10. Let y be g(0). Suppose w + y = -4. Sort 1, -4, w in decreasing order.\nAnswer: 1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k - 4011 = 67*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 18*r + 3. Does 4 divide t(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 39*u - 235. Determine t(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43026156 to the nearest integer?\nAnswer: 6559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-49 + 8 + 12 - -6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60540 and 3390?\nAnswer: 6841020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4290)\/(-11440))\/(378\/(-96)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-9))\/((-1)\/(-3)) - 4. Is l bigger than -19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 - 206. Let f be (-1 - s) + 4 + (-40)\/5. Sort 5, 4, 54, f in ascending order.\nAnswer: f, 4, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7215119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 37. Let n be b(40). What is the closest to 0 in n, -1\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -647*o**5\/4 + 2301*o**3\/2 + 6778*o. What is the second derivative of s(k) wrt k?\nAnswer: -19410*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027785323 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 0 = r + q*o - 114, 5*r - 3*o = 4*r + 79. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*l + 0)*(0 - 1 + 2) - 9028*l - 1350*l + 1865*l - 11464*l - 1518*l + 2*l - 5*l + 4*l to d + u*l and give u.\nAnswer: -21496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 603a2 (base 14) to base 13\nAnswer: 81328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10733 + 16294. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34941 + 207379 = 5*v - 92152. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.364714 kilograms?\nAnswer: 364714000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-969)\/39 + -2 + (-4)\/26. Let q(g) = -58*g - 81. What is the thousands digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 10*l**2 + 26. Calculate t(-9).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*y - 8*y. Suppose -y*n = -0*n. Suppose n = -l + 7. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 665 and 357.\nAnswer: 33915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*i - 21, 223*a - 9 = -i + 221*a. Factor 4\/3*m - 10\/3*m**2 + 0 - 14\/3*m**i.\nAnswer: -2*m*(m + 1)*(7*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -60*f - 231. Let i be n(-4). Solve -1 + i = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/(-28))\/11*(-4 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8229717 and 29070?\nAnswer: 82297170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -149*b + 2. Let f(u) be the second derivative of 0 - 200*u + 0*u**2 + 1\/3*u**3. Determine z(f(i)).\nAnswer: -298*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -382 divided by 32\nAnswer: -191\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(6*6\/(-48)))\/(220\/(-6)). What is the smallest value in g, 2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39684.3 take away 1.714?\nAnswer: -39686.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116720?\nAnswer: 2, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9006 - 8990. Solve -c + k = 6, 2*k = 5*c + 5 + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9\/7 (b) -28.08 (c) 2\/7 (d) 3\/4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let v(p) be the third derivative of -7*p**4\/2 + p**3\/6 + 308*p**2. Calculate u(v(n)).\nAnswer: -14112*n**2 + 336*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4*-2)\/(99\/132).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + a = 9*j + 127037, 2*j - a - 63523 = 0. What is j rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:07 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.104 - 0.896. What is the closest to -4 in 1, 0.1, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - u - u + (-3*u + 2*u + 3*u)*(3 - 3 - 1) - u - 11 + 11 to the form w*u + p and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -1498334\nAnswer: 119866.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by 25?\nAnswer: -94\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -b - 5*v, -3*b + v + 8 = 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128.9 or 0.12?\nAnswer: -128.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2907 or 2905?\nAnswer: 2905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -0.5 (c) 48 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -11\/2*u**2 - 3*u + 7\/3*u**3 + 1\/4*u**4 - 48. Calculate z(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = 0. Differentiate -6*i + z*i + 2*i - 2 + i wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*w - 45*w + 21*w = 480285. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1507 smaller than -1502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 0*i**2 - i**2 + i**2 - 2*i + 2*i + (-4*i + i + i)*(-16*i + 21*i - 24*i) - 2*i + 2*i - 2*i**2 + (-3*i - 3 + 3)*(5*i + i - 5*i).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(320)*1)**2 - (-5 + -1*sqrt(320)) - (sqrt(320) - 2*(sqrt(320) - 2*sqrt(320)) - ((sqrt(320) + 2 - sqrt(320)) + 2 + sqrt(320)))**2.\nAnswer: -971 + 136*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136671.\nAnswer: 17, 66863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 60 = -4*r. Let u(f) = -f**2 - 13*f - 16. What are the prime factors of u(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 41*b**6\/30 + b**5\/60 - 5*b**4\/24 + b**3\/2 - 19*b**2. Suppose -4*w + 2*g = -0*g - 8, -5*g = -2*w + 12. Does 12 divide u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3655793113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437405 is divided by 287478.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -12333322312?\nAnswer: 12333322322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5243*f + 398474. Determine l(76).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let d be u(8). Let x be (d + 3)\/(-1) - 2. Let c = 2 + x. Sort 1, -1, c in decreasing order.\nAnswer: c, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486 and 25768944.\nAnswer: 695761488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 0.6. Let t = -29 + 31. Let o be -4*(t + 76\/(-40)). Put -4, o, c in descending order.\nAnswer: c, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = j + 5*p + 5, -2*j + p + 10 = 0. Let o = -5 - j. List the prime factors of o\/(-48) + (-682)\/(-12).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2057) + -1 - (2*sqrt(2057)*-3 + sqrt(2057)))**2 + -2*(sqrt(272) + sqrt(17) + -3 + sqrt(425)*1).\nAnswer: -174*sqrt(17) + 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.22 and -49.\nAnswer: -49.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-12 + 2 - -4) + -5 + 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 7, b: 2}. What is prob of picking 2 b, 1 h, and 1 c?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-3))\/((-7)\/(-126)). Let p = 238 - f. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.508 - 18.418. Let x = a + 18. What is x rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*z - 125*z + 7 + 30*z)*(-z**4 - 2*z**4 + z**4 - 2 + 2 - z**4 + (-z - 2*z**2 + z)*(-6*z**2 + z**2 + 4*z**2)).\nAnswer: 47*z**5 - 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/6 + 4*y + 1. Let x(v) = 3 - 3 - 2*v**2. Calculate f(x(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 12 = 3*s + 4*l, -2*l = s - 6. What is the second derivative of 0*v**4 + 32073*v**5 + 43*v**2 - 7*v - 9 + s*v**4 - 32071*v**5 wrt v?\nAnswer: 40*v**3 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8*c - c - 4 + 0 - 2*c - 13*c.\nAnswer: -24*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 520665054 a multiple of 949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2745443 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13901854 rounded to 5 dps?\nAnswer: 0.13902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {j: 1, b: 1, a: 2, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 3*b**2 + 0*b**2)*(-4 + 4 + b) + b**3 - 19*b**3 - 3*b**3 as m*b**2 + x*b**3 + a + d*b and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2 - 1840*i + 169280 = 0.\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12549 + 12552. Factor -15\/4*k**x + 9*k**2 - 9\/2 + 33\/4*k.\nAnswer: -3*(k - 3)*(k + 1)*(5*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.1 - 28. Which is the third biggest value? (a) -3 (b) -2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**5\/70 - v**4\/7 - 3*v**3\/7 - 3*v + 11. Let d(h) be the first derivative of l(h). Factor d(x).\nAnswer: -2*x*(x + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457815489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -4) + 212 + -138?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3079920 and 615.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i + 24. Let k be 28\/6 - 8\/i. Let d be ((-264)\/15)\/(-8) - 3\/15. Solve 19 = h + u + d*u, -2*u = -4*h + k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-5))\/(4*(-1)\/10). Suppose 3*k - r = -0. Suppose -4*o = k*j + 12, 5*j + 4 - 24 = 0. Let x(y) = y**2 + 5*y - 5. Calculate x(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24812 - -35139. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 15*i - 119. Determine p(19).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*p - 449 = 0, 4*p - 12 = 7*p. Calculate the remainder when 10598 is divided by q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36333970 divided by -5?\nAnswer: 7266794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = -n - 174, -3*n - 12 = 0. Suppose p - s = -2*q - 3*p, -5*p + 10 = 0. Let b(v) = 5*v - 39. Calculate the remainder when b(15) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eneneee. Give prob of picking 2 n and 2 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u + 3. Suppose 0*g + 300 = -3*g + 5*f, -5*g + 3*f - 500 = 0. Let p = g - -96. Let o(b) = 3*b + 1. Determine p*q(v) + 9*o(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*o - 196*o = 17 + 783 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003016 to 5 dps.\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 373, 0, -0.3, -4\/7, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 443060992 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1887 - 0.0423. Let v = w + 0.031. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/561094 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -55. What is the common denominator of (4\/c)\/(-4 + (-1448)\/(-342)) and -47\/11?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -673, -2632, -5871, -10390, -16189, -23268?\n\"Answer: -640*q**2 - 39*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1010001110110001011001 (base 2) to base 10\nAnswer: -2681945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15480)\/1075*1140\/(-288).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39340 = -5*b - 70*y + 65*y, -3*y - 15756 = -2*b. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c**3 - 8*c**2 - 734*c - 8. Let a(t) = -4*t**3 - 3*t**2 - 244*t - 3. Calculate 8*a(x) - 3*w(x).\nAnswer: -2*x**3 + 250*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001005 to six decimal places.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63483 and 22.\nAnswer: 1396626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334 divided by -247.\nAnswer: 334\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -1. Let g = 0.2 + a. Let r = -0.5 - 3.5. What is the smallest value in 0, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 138, 409, 914, 1725, 2914, 4553, 6714?\nAnswer: 9469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1017 - 5084\/5. Put a, 2.6, -0.05, -0.4 in increasing order.\nAnswer: -0.4, -0.05, a, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499959 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100073088 a multiple of 1643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/11 in -4, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 478302.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-15)*(-18)\/(-4). Suppose 2*b = -2*g + 2, -4*b + n*g + 14 = -25. Solve -j + b = -3*q - 4, -q = -4*j + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329686 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 2*m - 32. Determine l(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/(-27) + 51287\/9.\nAnswer: 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 minutes before 10:05 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9271 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7 - 3. Let c = 0 - r. Let q = 1 + -1. What is the biggest value in c, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.03 (b) 4\/9 (c) -2\/59 (d) 2\/3 (e) 2.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/18 and 2\/(-3) - (-370)\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 161*l**3\/3 + 897*l**2\/2 - 2275. Find the second derivative of u(h) wrt h.\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141660 divided by 6?\nAnswer: 23610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + -0.02. Let q = -193 - -192.9. Let s be 24\/(-135) + 4\/10. What is the smallest value in o, s, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 87.50243 nanograms?\nAnswer: 0.00000000008750243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l**3 + 18*l**2 + 4*l - 2. Let k(j) = -68*j**3 + 55*j**2 + 14*j - 7. Determine 2*k(h) - 7*s(h).\nAnswer: 18*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*w - 0 - 24, j + 12 = 5*w. Suppose 0 = 4*p - 6 + 2. Let z(d) = 21*d**2 + 2*d - 1. Calculate the remainder when z(p) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2*u + 2\/3*u**3 + 2*u**2 + 139. Determine n, given that q(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 10. Let v be p(6). Suppose -3*d + 12 = t, -t = -0*t + 4*d - 15. Let r = v + t. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7325 is divided by 1255?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/5)\/r*r)\/r)\/(r*r**6*r))**(1\/14) assuming r is positive.\nAnswer: r**(-43\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*o = 1, -4*d - 3*o - 2 - 2 = 0. Let w be ((-2 - -5) + 2)*d. Let j = w + 6. Which is the smallest value? (a) -0.1 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 58898?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 l when four letters picked without replacement from lnlrrlnlnlrlr?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -25. Let l(s) = 81*s + 1472. Calculate the smallest common multiple of (-3)\/((9\/m)\/1) and l(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let s(q) = q**3 - 98*q**2 - 1072*q + 82. What is s(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10055234.37 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**2\/19 + 5187412*m\/19 + 2223174\/19.\nAnswer: 2*(m + 370529)*(7*m + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*z)*(3*z - 4*z - z) - 15*z**2 - 1 + 9*z**2 + 2 in the form u*z**2 + p*z + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(87*s**2 - 92*s**2 - 99*s**2) - 2*s**2 - s**2 + s**2 to q*s + v*s**2 + y and give v.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/358616 and 115\/12.\nAnswer: 1075848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.85 + 1.35. Let h be (-1)\/(27\/6) + 0. Which is the biggest value? (a) h (b) t (c) -2\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*l - 82*l + 45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m = -3*t + 60, -70 = -2*t - 4*m. Suppose -7*g = -2*g + 35. Let y = g + t. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-48))\/((-6)\/360). Let d be 4 - o\/10 - (-3)\/6. Solve 5*i - 2*p = -d*i - 1, 5*i = -3*p - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5071.\nAnswer: 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13921 + 13924. Which is the second smallest value? (a) 2\/25 (b) -4.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) - -4*sqrt(112)) - (-1 + (sqrt(28)*-6)**2).\nAnswer: -1005 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 48, 46, 34, 6, -44, -122, -234?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*z = -2588*z + 119280 for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + v. Let k be g(-1). Is (-2)\/(k + (-14)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g. Let p(j) = 22806593*j. What is r(p(q))?\nAnswer: 68419779*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*m - 660 = 109*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0*g - 9 = -3*z, -2*z = 5*g - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 1. Let m be f(5). Let a(y) = -11*y + 58. Let h be a(5). Suppose -6 = -2*u, -5*u = 4*s - u - 32. Put h, m, s, 0 in ascending order.\nAnswer: m, 0, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*s**2 + 3742*s**2 + 31*s**3 - 30*s**3 - 1364*s**2.\nAnswer: s**3 + 3728*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*a + 8 = 0, 2 = -b + 4*a + 7. Is (-1*b)\/((-8)\/23528) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 80 = 4*l + 56, 0 = m - 5*l + 12. Solve m*h + 20 - 23 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*h = -14958 + 18935 + 19645. Solve 0 = 147*b - 54*b - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(72) + -1)*-1*-5)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -25. Let r be 3\/((-36)\/4)*x. Suppose 3 = -r*a - 47. Is a less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k. Suppose k = 3*s - 10 - 8. Let r = 4 + s. Calculate the remainder when 29 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39878606.\nAnswer: 2, 19, 1049437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-2))\/((-4)\/2). Suppose 52 = w - v*w. Suppose -o + w = 3*o. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.03827, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24712601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 544 + -302. Let w = s - 242. Solve -2*n = w, -2*q + q + 5*n = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152474417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12) + 70\/(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 8*u + 12. Let m be o(-9). Let c be (2\/m)\/(1\/69). Suppose c = 2*j - 2. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -4, -1, 82 in ascending order.\nAnswer: -4, -1, 1, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8682254033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*g - 1128*g + 63*g + 3 + 409*g - 3.\nAnswer: -307*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 95*k**2 - 14*k + 12. Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869877799.\nAnswer: 7, 124268257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 9. Let h(s) = -2*s + 2. Let v(r) = r**2 + 3*r - 3. Let b(w) = i*h(w) + 4*v(w). Let y(a) = -a**2. Give y(b(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 969 + -667. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 8) to base 12.\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*136\/6. Let d = -5 + 27. Suppose -3*y + d = 4*s, -s - 2*s + m = 4*y. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 2 + 2 + (1 + 0*o - 3*o + 5*o)*(-o + 3*o + o).\nAnswer: 7*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*x + 168901*a + 297259*x wrt a.\nAnswer: -2*x + 168901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10394 is divided by 206?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27881 and 862106.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n*u**4 + 8*n - 2*u**4 - 143*u**3 - 2 wrt u.\nAnswer: -20*n*u**3 - 8*u**3 - 429*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, b: 2}. What is prob of picking 2 f and 2 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - 101 - -62 - 46?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380800 divided by 8?\nAnswer: -172600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(5\/2)*t*t*t\/((t\/t**(-5))\/t))\/(t**(-17\/5)*t*t\/(t*t*t**(-2\/43))) assuming t is positive.\nAnswer: t**(2087\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-30) - (-168)\/(-15). Let j = v - -6. Let i(y) = y**2 + 4*y - 1. What is i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 h when three letters picked without replacement from {x: 1, h: 3, y: 1, i: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 5, r: 3, i: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 49 = -34. Solve 0 = o*z - 0 - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185.682 + -186. Let w = p + 3.818. Which is smaller: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1. Let g(u) be the second derivative of -5*u + 7\/2*u**2 + 1\/3*u**3 + 0. Calculate g(y) + 6*z(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -588*u - 1803 wrt u?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiie when four letters picked without replacement from {i: 3, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1 + -4)*-6. What is the greatest common factor of d and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/330 and 77\/900.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276049623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 602708\nAnswer: -60270.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 989.8314 nanometers?\nAnswer: 0.0000000009898314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174532 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 2618674 = -2618555 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-24) + 10\/15. Let i = 265\/27 - 88\/9. Is i less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -139160, -278333, -417520, -556727, -695960, -835225?\n\"Answer: -m**3 - m**2 - 139163*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 7*s**3\/6 + s**2\/2 + 4*s + 6. Let r(z) = 25*z + 4. Let b(j) = 6*n(j) - r(j). Let o(y) = -6*y. Calculate b(o(c)).\nAnswer: -102*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a + 7*a - 6*a)*(a + 0*a + 3*a) - 2*a**2 + 17 - 4*a + 8*a - 7*a to the form h + k*a + n*a**2 and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.96 + 7. Let b = -0.0400078 + n. Round b to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 3*m**2 - 15 - 1.\nAnswer: 3*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 - 6*w - 3. Let x(p) = -7*p**3 - p**2 + 11*p + 6. What is -5*b(r) - 2*x(r)?\nAnswer: -r**3 + 2*r**2 + 8*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186 + 1679\/9. Suppose 0 = 3*c + 4*y + 5, 2*y = c - y - 7. Which is greater: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, f: 4}. What is prob of picking 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/27)*r*r*r\/(r\/r**15) assuming r is positive.\nAnswer: r**(458\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/7))**2*p**(1\/24)\/(p*p\/(p*p**(-3\/13))))**27 assuming p is positive.\nAnswer: p**(-6525\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -919*d - 5. Let t(h) = 3*h**2. Give n(t(u)).\nAnswer: -2757*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1202 - 2131040201?\nAnswer: -2131041403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.5 + 0.5. Let m = 10.5 + l. Sort -0.3, 4\/5, -0.5, m in ascending order.\nAnswer: -0.5, -0.3, m, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*q**2 - 249*q**2 - 868*q**2 - 713*q**2.\nAnswer: -2048*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2247, -4173, -5453, -5763, -4779, -2177, 2367, 9177?\n\"Answer: 54*m**3 - m**2 - 2301*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 8*d + 3. Let k be 126\/140*(-2)\/(-3)*10. What is n(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41636, 83490, 125592, 168068, 211044?\nAnswer: 254646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23859 = 3*w + 3*p, -24*w + 25*w - 5*p = 7959. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14605685 is divided by 63228?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 20*q**2 - 19*q - 25. What is s(21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + 5 = 0. Let s be (w\/2)\/((-3)\/168). Let j = 4 - s. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 348*f + 10. Is d(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1530 by 6.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3 = 4*l, 18 = -3*f + l - 0*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 11*r**2 + 2*r**2 - 849*r + 0 + 11*r**2.\nAnswer: 2*r**2 - 849*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -389, -561, -791, -1073, -1401?\nAnswer: -1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31988 - -51623. What is the common denominator of 32\/15 and (-3)\/39 + n\/(-5850)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(3\/(-2))*868\/8. Sort l, 5, -1 in descending order.\nAnswer: l, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 708660394 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 27 - 16 = 0. What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 + -5 - 104) + -16.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 131 in descending order.\nAnswer: 131, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62195 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 49*p**2 - 326*p + 286. Calculate o(6).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 4*m - 367 = o, 2*o - m - 152 = 0. Let p(y) = -y. Let r be p(-5). Suppose 8*u - 3*u - 2*s = o, r*s = -u - 12. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -1 (b) -214.8 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b + 112. What is o(25)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d*d\/((d**(-29\/2)\/d)\/d))\/d)*d)\/(d*d\/d**43) assuming d is positive.\nAnswer: d**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*s - 14 = 0, s + 0*s = 1. Suppose -y + 5*i = -29, -3 = 4*y + 5*i + 6. Find the third derivative of -j*c**2 - 8*c**4 + 3 + c**y - 3 wrt c.\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128577 (base 13) to base 4\nAnswer: -1231013112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 + 6*k**3 + k**3 + 0*k**4 - 901*k**2 + 902*k**2 - 11*k as u*k + o*k**4 + n*k**3 + g*k**2 + t and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 19 = -m, -a - 21 = -m - 5*a. Suppose 22 = 5*n - v, 5*n - m - 3 = -2*v. Factor 0 + 0*b**3 + 9\/5*b**2 - 3\/5*b**n - 6\/5*b.\nAnswer: -3*b*(b - 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6451 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 54 - -34 - -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004375 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*q**2*v**2 + 2*q*v**2 - 177*q wrt q?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 71, 89?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 905550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(19)*5)*3)**2*4 + (-2 + sqrt(76)\/sqrt(4) + 1)**2.\nAnswer: -2*sqrt(19) + 24644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17)*2 - sqrt(17) - sqrt(17))**2 + (sqrt(17) + sqrt(17)*3)*3.\nAnswer: 16 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4 = j. Let l be (7 - 9)*(-9)\/j. Let o be (6 - 4)*(-12)\/(-9)*-3. Is o > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.8 minus -1.047?\nAnswer: -50.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t**3 - 9*t - 224. Let v(h) = 18*h**3 + 20*h + 450. Give 7*a(c) + 3*v(c).\nAnswer: -2*c**3 - 3*c - 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300916554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/275184 and -41\/104.\nAnswer: 275184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146 + 96. Let s = l - -83. Let n = s - -15. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/3)\/8*2\/4\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 7:48 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 10, 0.3, 4.\nAnswer: -1\/4, 0, 0.3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-16) + (-36704)\/(-28416)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 805 = 4*y, -3*y - 30*f + 599 = -34*f. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -479511600 divided by -5?\nAnswer: 95902320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15123243\/170 - -88960. Find the common denominator of 29\/153 and b.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -324 + 1137*j**2 - 382*j**2 + 324 as r + v*j + m*j**2 and give m.\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**2 + 145*z - 26. Let s be m(24). Suppose 2*i = -2*t + t - 3, 5 = -4*t - i. Put 2, s, t, 184 in ascending order.\nAnswer: s, t, 2, 184","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-48)\/21)\/(10\/(-43085))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*b**2 - 12 + 200*b**2 + 45 - 33 - 46*b**2.\nAnswer: 39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680\/(-2604)*6\/80*14\/(-4)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*w + 309603 = 4*w, -515994 = 5*u + 2*w. What is u rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + -2)*4 - (sqrt(3) + (sqrt(162)\/sqrt(6) - sqrt(3)) + sqrt(96)\/sqrt(2)))**2.\nAnswer: -208*sqrt(3) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7 and -2.2.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3103, -12435, -27979, -49729, -77679?\n\"Answer: p**3 - 3112*p**2 - 3*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 35*i**2 - 5*i + 2911. Let q be p(37). Which is the closest to q? (a) -2 (b) 4 (c) -5\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14021*j - 133 = 14024*j - 2*b, 4*b + 153 = j - 4*j + 32 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 31. Let g = 7 + t. Let k(p) = 2*p - 1. What is k(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2737803*x**3 - 4466*x**2 + 25*x - 6 wrt x?\nAnswer: -16426818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 12*j. Let a be y(1). Suppose 0 = 3*n - w - 22, 3*n + 4*w - 12 = 5. Differentiate a*x**3 + n - x - 2*x**3 + x wrt x.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 2. Let b be (0 - -1)*1 - -7. Let y = -87 + 97. Let r = b - y. Calculate p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 92696?\nAnswer: 92696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 14 = 3*t, -11*b + t - 8 = -6*b. Let j be ((-22)\/12)\/(2\/3). Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*p + 27*p - 12. Calculate the common denominator of 1222\/252 + p\/(-18) and 61\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11624, -19642, -27660, -35678?\nAnswer: -43696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 144\/156*(-52)\/(-40)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + x = -x - 2248, 4*x = -5*m - 2816. Round m to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/11, 2\/5, 1\/5, -3536, 29, -4, 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:40 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16714046411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 52\/5 of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p + 381. Let h be n(-29). Sort h, 5, -16, 1 in decreasing order.\nAnswer: 5, h, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*s = -73 + 406, -3*s = 2*i - 207. Let m = -427 + 607. What is the highest common divisor of i and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-496)\/40 - -9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 + 180*b + 145. Let u(k) = 9*k**2 + 181*k + 152. Let q(h) = 4*a(h) - 5*u(h). Determine n, given that q(n) = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 11 = 21. Let n be (-9)\/(y\/((-20)\/3)). What is the first derivative of -4 - 15 - 31*o**4 + 2 + n*o**4 wrt o?\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2 - 265532*k + 132764.\nAnswer: 4*(k - 33191)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9*o = -91. Which is the nearest to -1? (a) o (b) -0.6 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 245*s + 2 - 7*s**2 - 256*s.\nAnswer: -7*s**2 - 11*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2688445090?\nAnswer: 2, 5, 19, 683, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6342*t + 2. Let g(j) = 3*j**2 + 12. Give g(m(w)).\nAnswer: 120662892*w**2 - 76104*w + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.671361 and 5.7?\nAnswer: 6.371361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.9562*0.0277\nAnswer: 0.02648674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.622437 months?\nAnswer: 0.80186975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/18929, -29, -13\/2, 0.2 in descending order.\nAnswer: 0.2, -3\/18929, -13\/2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192330954?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**3 - 2*a**2 + 3*a - 20. Let p(z) = 4*z**3 - z**2 + 3*z - 14. Let l(y) = 3*p(y) - 2*r(y). Give l(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.216085 and -16.\nAnswer: -3.45736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2863*q - 649*q + 178135 = -120385 for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 212 + 91 = -71 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19555\/8 + 2444. Let y = -2.6 - 0.4. Put q, y, 0.3 in decreasing order.\nAnswer: 0.3, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5 - (-606)\/210) + -3. Sort 1\/6, -0.4, 5, s in descending order.\nAnswer: 5, s, 1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from iazppaaaazwp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 k when four letters picked without replacement from {g: 8, k: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 f, and 1 t when four letters picked without replacement from gggffggttgj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (0 + (-1 - 2)). Let c = 1 - o. Let q(i) = 1 + 4*i**2 + c - 2. Let b(w) = -2*w**2. Calculate q(b(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303463845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2142 (b) 0.09 (c) 0.5 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 54 + 8 - i**2.\nAnswer: i**2 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, l: 1, g: 1, u: 8, c: 1, r: 2}. What is prob of picking 1 g and 1 r?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 10. Let u(s) = s + 1. Let g(j) = i(j) - 3*u(j). Let m be g(0). Let z = m + -5. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3\/4*t - 147\/2 - 3\/4*t**3 + 147\/2*t**2 = 0?\nAnswer: -1, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 2180*f - 75200. Determine g(-34).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974892 is divided by 296?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 - 2*a - 3. Suppose u = 5*u + 16. Let w be l(u). Solve -w*z + 15 = -0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2353 and 543?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = 0. Solve x = -2*s - 0*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60483.1kg to grams.\nAnswer: 60483100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = i + 5, -5*r + 25 = 2*i + 8. Find the third derivative of -138*a**4 + 4*a - 19*a**2 - 475683*a**r + 475683*a**3 wrt a.\nAnswer: -3312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**2 - 8*p**2 - p**3)*(268 - 103*p - 137 - 130).\nAnswer: 206*p**4 + 822*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50*3\/(45\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:31 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at most as big as -2.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 453117312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.12606785\nAnswer: 0.05042714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189718, -758883, -1707492, -3035545, -4743042, -6829983, -9296368?\nAnswer: -12142197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-36 + -18) - 26\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c + 8*c + 4*c + 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t**3 - 16*t**2 + 26*t + 4. What is z(2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003848147 to six dps.\nAnswer: 0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 0.4, -0.4, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*q + 2*o, -3*q + o + 23 = -1. Let b(t) = t**3 + 5*t**2 + 3*t - 4. Let i be b(-3). Determine j, given that j - i*j - 4*j - q - 2*j**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t + 15. Let l(h) = 4*h + 8. Let s(z) = -5*l(z) + 3*x(z). Let j(a) = -a - 3. Let u(o) = -3*o - 12. Let w(b) = 2*j(b) - u(b). Give 4*s(p) - 3*w(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 8 = -3*b + 6, 30 = 5*l - 5*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/4 + n**3\/3 - 95. Let q(v) = v**3 + 3*v**2. Give -q(f) + 2*u(f).\nAnswer: -3*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13719.174 months to decades.\nAnswer: 114.32645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(684)*-4 - 2*sqrt(684)*-6*3.\nAnswer: 4 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -209.46. Let h = w + 1.44. Let m be (-2)\/(-7) - (-3 - -3). Which is the second biggest value? (a) -2\/19 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75 and 769.\nAnswer: -57675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -733*t + 727*t = -24. Suppose 191 + 241 = t*x. What is the greatest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1023, 1022, 1021, 1020?\n\"Answer: -n + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {w: 11, i: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-1530)\/204*3151\/(-345)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12806391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-6 + 0 + 4)*(-10 + 10*w + 16*w - 23*w).\nAnswer: 12*w - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 + 2)) + (585 - 585)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 11) to base 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - 4 + 4)*(4*g - 12 + 0 + 16).\nAnswer: -16*g**4 - 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5730294, -5730263, -5730234, -5730207, -5730182, -5730159, -5730138?\n\"Answer: -k**2 + 34*k - 5730327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 3. Let b(q) = -q**2 - 3*q + 3. Let y be b(-3). Suppose -l + 2*l = y, -4*l + 22 = 2*s. Let m(v) = -9*v + 5. Give s*g(h) + 3*m(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/133830 and -107\/1203840.\nAnswer: 1790110080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(480\/84) + (0 - 1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.3. Let w = k - 1. Let v = w - -0.9999992. What is v rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/14 - (342\/(-42) + 5). Let o(v) be the second derivative of -v + 0 - 1\/2*v**2 - 1\/6*v**u. Let x(t) = -2*t - 2. Determine 5*o(s) - 2*x(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 6*f**2 + 4*f - 1. Calculate the smallest common multiple of o(4) and 9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -10. Let k = -472 - -227. Let t = k - -244. What is the second smallest value in 0.5, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18229*r**4 - r + 8*r**2 - 18196*r**4 + 8 - 10*r**2 + r**3 as f*r**2 + n + k*r**3 + c*r + x*r**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -99463798 from 5.\nAnswer: 99463803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543517244?\nAnswer: 2, 3, 17, 2522087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26 from 7064.\nAnswer: 7038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -107. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/(-330))\/(((-18)\/(-888))\/(6\/4))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10740259 to the nearest integer?\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, and 1 s when three letters picked without replacement from tqhyhthtqks?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191\/642 + -14\/107. Solve -z - 1\/2*j**2 + 2\/3*j = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddhddddhdddddd. What is prob of picking 3 d?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 468, 460, 448, 432, 412?\n\"Answer: -2*r**2 - 2*r + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333545 divided by 66709.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 + 2 = 0, -3*f = -w + 38. Let i(m) = -6*m + 6. Let r be i(4). Let x = f - r. Calculate the highest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c**3 - 2*c**2 - 35*c - 291. What are the prime factors of r(-6)?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - -2.8. Let f(d) = -2*d**3 - 4*d**2 - 2*d + 1. Let z be f(-2). Sort 1, i, z in descending order.\nAnswer: z, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, t: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (-1 + sqrt(200))*-2)**2.\nAnswer: -40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by 812.\nAnswer: 99\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*r + r = 8, 34*s + 76 = -36*r + 38*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/13)*f**(-1\/7))\/((f*(f\/(f\/(f*f**(12\/11))))\/f*f)\/f*(f\/(f*(f\/(f*f**8*f))\/f*f*f*f))\/f))**(-13\/4) assuming f is positive.\nAnswer: f**(4275\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - -1 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/2 - -2) + -3. Let o be ((-4)\/14)\/((-2)\/14). Let z(h) = 3*h - 45. Let p be z(16). Put o, p, u in decreasing order.\nAnswer: p, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 = 0, 9*y - 4*y + 3995 = 5*m. List the prime factors of m.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1290*d + 424*d + 638*d - 10*d**3 - 2*d**2 in the form o*d**3 + i + w*d**2 + t*d and give t.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbzzxzoxzszszbzxz. What is prob of sequence zbbs?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)\/a*a**(-2\/5))\/((a*a**14)\/(((a*a\/(a\/a**(8\/3)))\/a)\/a)) assuming a is positive.\nAnswer: a**(-1592\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5792411 and 2369.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 2. Let i = v + -11. Which is the closest to 1\/4? (a) 0.5 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011011000 (base 2) to base 8\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 16*v + 25. Let h be k(-8). Solve -h + 86 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9614631 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/40)\/((-27)\/36)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22875 = 37*f - 102149 - 30135. What are the prime factors of f?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/10)*x*x\/(x*x**(9\/7)))**(2\/19) assuming x is positive.\nAnswer: x**(-41\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8444238?\nAnswer: 2, 3, 11, 97, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3 - 2 = -4*g, 3*g = 413432*b - 413439*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzzldjldjzljk. What is prob of sequence dd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l + 3. Let h(g) = 25*g - 8. Let j(x) = 4*h(x) + 11*p(x). Let i be -5*4\/(-20)*-1. Let z(n) = 12*n + 4. Calculate i*z(r) + 4*j(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -36*p**3 - 2*p - 1. Let t be k(-1). Let l = 37 - t. Suppose l = -0*x - 2*x + 4. Solve x*j - 3 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 13179960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300213103120 + 3?\nAnswer: -300213103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1138 - 48. Suppose -d + 2*g + 396 + 144 = 0, -a = -2*d - g. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.8315603 months?\nAnswer: 0.00152630025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 2. Let w be g(-3). Suppose 2*x = -5*n + 29 + 56, -4*n + 68 = 3*x. Is n at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 221*q**2 + 44*q + 22. Is a(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 139 (c) 733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1680)\/(-2)*19\/((-1330)\/(-56)). Is 14 a factor of 855936\/x + (2\/(-7))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sbbzqibqsjbzsbqzbbb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -803348\/5 < -160670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/2 (b) -5946\/11 (c) 3.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 + 3*w - 1. Let h be z(6). Suppose 2*g = -3 + h. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12230545669 less than 5?\nAnswer: 12230545674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*h = -10, -2*s - h + 13 = -4*s. Sort 4, 0, s.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-1)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 135*s**2 - 21*s - 34. Let c(q) = -136*q**2 + 21*q + 29. Let f(d) = 7*c(d) + 6*w(d). Find the second derivative of f(y) wrt y.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 5. Let m(k) = 15. Let z(j) = -2 - 4 - 1. Let c(f) = -6*m(f) - 13*z(f). Let u(s) = -9*c(s) - 2*w(s). Differentiate u(a) with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63839 rounded to two decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 (base 7) in base 15?\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 6*g - 2*g + 6 - 2*g. What is i(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/6 - 3)*6. Let l(b) = 2*b + 3. Give l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 143*k + 822. Give i(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (11 + 5)\/(-8) + (-1 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 1. Suppose 0 = 4*n - 9*n + 15. Let y be 4 - 1 - n\/1*-1. Let t be i(y). Which is bigger: t or -9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 33. Suppose -26 - 2 = -4*k. Calculate the smallest common multiple of k and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6537.0017206 - -6537. What is x rounded to five decimal places?\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/(-510) - (4\/(-3))\/(-4). Let t = -2 - -1.9. Are m and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**6\/480 + q**5\/80 - q**4\/32 + q**3\/24 + 13*q**2\/2 + 8*q. Let w(i) be the first derivative of l(i). Factor w(m).\nAnswer: -(m - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -18 + (7 - (9 - 10)) - (-54 - 6)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 7382 + 7409 = 4*o, o - 5*c - 62 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 9*t**5 - 699*t**4 + 13455*t**3 + 4563*t**2 = 0?\nAnswer: -1\/3, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 877, 883, 883, 871, 841, 787, 703, 583?\n\"Answer: -y**3 + 3*y**2 + 4*y + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 46 = -5*p, -4*m - 3*p + 35 + 149 = 0. Let d = 71 - m. Let y(g) = -g - 3. Let x be y(-3). Solve 0 = -5*j - i + 25, x = -5*j - 9*i + 4*i + d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953197 is divided by 413.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 68, 1, 15, 7 in descending order.\nAnswer: 68, 15, 7, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4200 + 761 - 5533 = 3271*v + 841 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104\/5, 5, 0 in descending order.\nAnswer: 104\/5, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6713\/685 + (-24)\/(1 - -2)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -4*t - 1684. Let n be (t\/105 + 3)\/(24\/(-80)). Which is the third biggest value? (a) 0.4 (b) -0.2 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.8 - -28. Let b = s + 3. Let t be (-1 + -1 + 2)\/(-2). What is the nearest to t in 0, b, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/341 and -56\/99?\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/7 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 8*g - 15. Let c be u(-9). Let d = 28 + c. Solve 19 = 3*q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, -16, 1\/3, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 486\/11, 5, -3\/4 in decreasing order.\nAnswer: 486\/11, 5, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8652*t. Let r(z) = 13*z**2 - 1. Calculate d(r(y)).\nAnswer: -112476*y**2 + 8652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249.4934 microseconds in minutes?\nAnswer: 0.00002082489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away -23.4?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 40?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 950730 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 3*q**2 - 2*q - 26. Is v(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -0.4, 0, -2, -5, -165\/71, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -25. Suppose -5 = -n*q - 3. Round q to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 18*j + 42 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 889 (b) 1 (c) -1\/7 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 5, g: 3, b: 2}. What is prob of picking 3 g and 1 y?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 177*u + 1545. Calculate o(-7).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v - 8*v + v**3)*(-135*v - 69*v + 43*v) to the form c*v**4 + m*v**2 + a + i*v + x*v**3 and give c.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 2*z - 6, -26*z = -23*z - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/t)**(1\/21)\/((t*t\/(t**(-2)*t))\/(t\/(t\/((t*t*t*t*t**(-1\/3)*t)\/t)))))**(-31) assuming t is positive.\nAnswer: t**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -11052.\nAnswer: 1\/1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76216401, 76216402, 76216403, 76216404, 76216405, 76216406?\n\"Answer: j + 76216400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 6607*g**2 + 3*g - 6456*g**2 - 2*g + 3.\nAnswer: -13063*g**2 + 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 92.4 (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 4)\/(4\/(-8)). What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 47 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-688)\/1032)\/((-13)\/(-18)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 13*c**3\/6 - 3*c - 6. Let p(r) be the first derivative of v(r). Let y(f) = f. Give p(y(a)).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 11:51 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 182. Let b = c + 165.9999933. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 323*v**2 - 3*v + 28. Let a(s) = s**3 + s**2 - s + 7. Give 4*a(h) - j(h).\nAnswer: 5*h**3 - 319*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7931 and 10491271?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 13*o + 18. Let l = 50 + -38. List the prime factors of h(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 3, -1 in decreasing order.\nAnswer: 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*a + 454*a + 10 = 0, -4 = 3*g - 4*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = h - 330, 4*h - 172 = -2*p - 0*h. Suppose 0 = 6*g - p - 326. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-47 - (-45 - -13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and -0.245.\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 21. Let b = -5 + y. Determine d so that 0 + 0*d + 0*d**2 + 2\/7*d**5 + 4\/7*d**b - 6\/7*d**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 129*(3 + 64\/(-24)). What is the greatest common factor of 387 and y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxvvxxvqxx. What is prob of sequence qxx?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d - 2. Let t(f) = -f**2 - 93*f + 41. Let m(w) = 8*q(w) + t(w). Determine m(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Let h = d + -2. Let f be h\/(-1 + 3\/2). Solve 0 = -f*x + 3*z + 6, 2*x + 8*z = 3*z + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/24*5\/(-15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 3, s: 4, w: 1}. What is prob of picking 2 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(12)\/sqrt(4) - sqrt(18)\/sqrt(6)*3) + (sqrt(81)\/sqrt(3)*-4)\/(-4*sqrt(36)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(468)*-1 + -4)**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6 = u. What is the units digit of (3\/2)\/(u\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 46. Solve -2*w + w = -5*b + r, 4*b - 20 = -2*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -121. Let k = 2 + 1. Suppose 0 = -k*c - y + 99. Calculate the greatest common factor of c and 240.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2447 + -2450. Which is the fourth smallest value? (a) -3\/8 (b) i (c) 45 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(72) - sqrt(72)*1 - sqrt(72))\/sqrt(8)) + -4.\nAnswer: -4 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 16*c**2. Let j = -9983 - -9982. Give i(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42443513 (base 6) to base 9.\nAnswer: 2314830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (((-14)\/(-4))\/(-7) + 1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c - 2*u + 33 = 0, -u = -3. Let a = 57 + c. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79591*m**4 - 28092 wrt m.\nAnswer: -318364*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 222663, 27.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4)*-4 + 2. Suppose 126 = q*c + 4*b, -3*c = -2*b - 200 + 74. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x**3 + x**2 + 7*x + 35. Let p be f(-4). Let n = -13 - p. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-37))\/c**2*c**(-16)\/((c\/(c*c\/(c*c**34)))\/c) assuming c is positive.\nAnswer: c**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 925\/175 - 5*1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*h - 240, -432 = -0*n - 4*n + 2*h. Is 1\/2 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6611, 12809, 19009, 25211?\nAnswer: 31415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5311*v**2 + 282*v + 282. Let q(j) = 94*j**2 + 5*j + 5. Let m = 6062 - 6067. What is m*b(g) + 282*q(g)?\nAnswer: -47*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -321*j - 5771. Calculate o(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 602. Let r(y) = -2*y - 302. What is 3*h(v) - 7*r(v)?\nAnswer: -v + 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4 - 0. Let o = 1 - y. Let s(v) = v**3 - 3*v**2 + 3*v. What is s(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2. Let c(x) = -3169691*x. Determine c(j(z)).\nAnswer: 6339382*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59582, 59461, 59340, 59219, 59098?\nAnswer: 58977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -16*u + 72. Let d be 6\/(-3) + 1 - 5. Let z = -6 - d. Solve z = j - 3*j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {h: 3, w: 2, b: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let z(t) = -3*t**3 + 0 - 2*t**b - 3*t - 1 + 0*t**3 + 2*t**3. Give z(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 11 + (9 - 1 - 14) + -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(272) + sqrt(833) + 0.\nAnswer: 1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 = 3*v. What is the common denominator of 627\/63 - (-2)\/v and 19\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4239 (b) 1\/3 (c) 3\/11 (d) -2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -t - 4945 + 4928, 2*s + 22 = -2*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 - 53 + 56*g**2)*(-2*g + 4*g + 3*g) in the form f + j*g**2 + y*g**3 + c*g and give y.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 82*v = -137 - 271. Solve -19*m + 6 = -3*a - 17*m, 3*a - 3*m = -v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 27568?\nAnswer: 27568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/60 + 46*u**2. Let z(d) be the second derivative of 13*d**4\/12 + d. Give v(z(y)).\nAnswer: 169*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppquppqnp. What is prob of sequence qn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/15 (b) 0 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3354 - -5865. Suppose -4*k = -85 - b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000274311 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307 - -297. Let b be 2*(325\/q)\/(-13). Solve -10 = 5*s + g, 4*g - 4 = -b*s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2675\/16068 + 1\/5356. Let c(d) be the second derivative of 26*d + l*d**4 + 5*d**2 - 2*d**3 + 0. Solve c(a) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**3\/3 - 1916333*w**2\/3 + 10731296*w\/3 + 1533044 = 0.\nAnswer: -2\/5, 6, 383261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/167988 and 79\/88892.\nAnswer: 3733197324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-12)))\/a**(2\/11)*(a**2\/a)**16 assuming a is positive.\nAnswer: a**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 25*j**8\/336 + 17*j**5\/60 - 159*j**4\/4 + 16*j**2 - 3*j. What is the second derivative of y(g) wrt g?\nAnswer: 500*g**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96303, 96251, 96121, 95877, 95483, 94903, 94101?\nAnswer: 93041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 + -85. Let t(k) = -k**2 + 10*k - 9. Let n be t(10). Let d = u + n. Solve 30 = 5*a - 5*l, -3*a - 4*l - d + 11 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s. Let r = 18 + -16. Let h(o) be the first derivative of -4 - 220*o + 220*o + 2*o**r. What is m(h(l))?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 7 - 2 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 15. Let o be 2\/(-3 + g\/3). Which is bigger: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 - (4 + (2 - 0))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134*m**2*q**3*x**2 - 20*m**2*q*x**2 + 3*m*q*x**2 - 3*q**3*x**2 - 10*q**3*x + 4*q**2*x**2 wrt m.\nAnswer: 268*q**3*x**2 - 40*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*1\/2)\/1. Let b = 5.268 + -5.268. What is the second biggest value in d, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*g - 46*g + 45. Calculate the least common multiple of 30 and g - 10\/(-5) - (2 + -55).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 2*s + 3*s**4)*(2 - 2 + 1)*(3 - 2 + 2).\nAnswer: 9*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/27*-6*2\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5565442382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 64376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)*-3)\/sqrt(3).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136296514.\nAnswer: 2, 17, 251, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3. Let c be (-3 + 3)\/(1\/b). Suppose k + c*k + 58 = 4*g, 4*g = 4*k + 64. Solve -3*x + 2*p = x - g, -3*p + 24 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 5}. What is prob of sequence aha?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*v - 1018, u - 5*v = -6*v + 262. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from cbqibbibbkqbqiqqqi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let y(q) = -q**2 - q. Let m be y(1). Suppose 394*c - 1006*c = 630*c - 4968. Put u, m, c, 0 in decreasing order.\nAnswer: c, u, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -26. Suppose a*t - 356 = 6*t. Let c = -193 + t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -0.5, -19, -0.2, -272?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:03 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-310)\/(-15)*(-3)\/(-2). Find the second derivative of 14*n + 10*n**4 - 18*n**4 - 28*n - h*n + 3*n**2 wrt n.\nAnswer: -96*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/(65\/182)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 45 - 88 + 44*y to the form d + o*y and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 0.5 (c) -2 (d) 0.9 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -44)\/(-64) + (-55)\/252.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*v**4 + 3326*v**3 + 1577*v**2 + 1029150185 wrt v.\nAnswer: -28*v**3 + 9978*v**2 + 3154*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/16)\/((i\/((i**(-2)*i)\/i))\/i*i)*(i\/(i*i**(-4\/11)\/i*i))\/(i\/(i*i**15\/i)*i) assuming i is positive.\nAnswer: i**(1835\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163\/312 - 13\/24. Let u = -109\/260 - p. Which is the nearest to 0.3? (a) u (b) -8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -25. Suppose -2*u + 4 = 10, 2*u - 153869994 = q*v. Round v to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*a - 1, g + 10*a - 5*a - 10 = 0. Suppose -g*j + 6343 = -4*c - 2010, -2*c = -j + 1667. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-63))\/((-77032)\/9632 - -8). Which is greater: f or 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72767 is divided by 1119.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -5. Let d = 106 + 34. Calculate the highest common divisor of z and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)*r)\/((r\/(r*(r**1\/r)\/r*r))\/r*r))**0*(r**1)**(15\/2)*((r**0*r)\/r*r)**27 assuming r is positive.\nAnswer: r**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6312?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2 - 2*x**2 - 1 - 7*x**2 - x**2. Let q(a) = 4*a**2 + 1401*a - 1401*a. Calculate u(q(g)).\nAnswer: -160*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**3 + 6 + 8*l**3 + 3*l**3 to the form i + o*l + a*l**3 + d*l**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*y + x - 14, -14 = y - 3*x. Let d be (y - 7)*4\/(-6). What is the nearest to 0.2 in d, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 25157*n - 2*n**2 - 25175*n - 10 + 2*n**2.\nAnswer: -2*n**3 - 18*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8118757 + -6.8118822. Let s = 5 + q. What is s rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -0.692. What is w rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g)\/g**(-2\/11))**12\/(((g\/(g**(2\/3)\/g))\/g)**11)**(-1\/22) assuming g is positive.\nAnswer: g**(-4597\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - g = -750. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:24 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2192 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 921.28803 and -574.\nAnswer: 347.28803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.8. Let p = -45.6 + 4.1. Let q = p + 41. What is the closest to 1\/4 in v, 2, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(2\/7))**(2\/63))**(10\/3) assuming l is positive.\nAnswer: l**(320\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34264273 rounded to the nearest ten thousand?\nAnswer: -34260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 4) + 58\/16. Let h = -121 - -602\/5. Sort z, h, -4.\nAnswer: -4, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 39 - 2)*(30*j + 1 + 1 - 7*j + 2*j - 4*j + j + (2*j + j - 2*j)*(0 - 3 + 5)).\nAnswer: 1536*j + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 32745.4817 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361749 is divided by 2061.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 31*x**2 + 6*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 14*r**3 - 25*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (0 - 0)) + 1. What is the units digit of ((0 - -6) + 2)\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-42)*2628\/1752.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026565 to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28*k + 83. Determine w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(640)*-1).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -693 + 2910. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**(-49)*(r*r*(r*r**(-1)*r)\/r)**(-1\/3) assuming r is positive.\nAnswer: r**(-151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48650 + -24712. List the prime factors of j.\nAnswer: 2, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 87*x**4 + 39. Let z = 64 + -77. Let y(b) = -43*b**4 - 20. Let u(h) = z*y(h) - 6*c(h). What is the derivative of u(k) wrt k?\nAnswer: 148*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189119243, -378238485, -567357727?\nAnswer: -756476969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/21 + (-1)\/(-7*(-4)\/112*-2). What is k in o*k**2 - 6\/7*k + 4\/7 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -518, -548, -588, -638, -698, -768?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m**2 + 2 + 0*m**2 - m + 2*m + 4*m**3. Let s be y(2). Suppose x = -3*x + s. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 2*i - 654 = 0, -i - 271 = -18*s + 39 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3554*c + 120602. Calculate v(-34).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 4*b - 58, -176*r + 49*b - 97*b + 49*b - 868 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - 0.07. Let z be (-4)\/9 - 2\/(-3). Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3229, -2753, -2273, -1789, -1301, -809?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -3 + (2 - -1). Differentiate -2*f**d - 3*f**2 + 2 + 2*f**2 with respect to f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/5, -1\/4, -4\/5, -1.\nAnswer: -2, -1, -4\/5, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13 - 39 = -2*w, -3*h + 4*w = -50. Let j = 23 - h. Let r = j + 8. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101620.46 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -722, -717, -710, -701, -690, -677, -662?\n\"Answer: k**2 + 2*k - 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314 at least as big as -17\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5706, -6417, -7170, -7965, -8802, -9681?\n\"Answer: -21*p**2 - 648*p - 5037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 372?\nAnswer: 3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1*(-2 + 1). Solve 2*s + q = s + 1, j = -4*q - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 11, -1, -1164, 4, 0 in decreasing order.\nAnswer: 11, 4, 0, -1, -20, -1164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - (49 + (22 - 75))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-7 - 5)) + 8 + -43.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 4. Let f = 34 + p. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -889 - -988. Calculate the remainder when a is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/188 and -123\/940.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 + 0.01. Let t = y - 0.33. Let p = 8\/15 - 61\/30. Sort p, -3, t in ascending order.\nAnswer: -3, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. What is the closest to 0.2 in o, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7782 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 114 + 207\/(65205\/(-39510))\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7618549*d**4 - 1221724*d wrt d?\nAnswer: 91422588*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 0 - -2 - (-201 + 195)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273706346.693 + 0.3?\nAnswer: 1273706346.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2 - 53*u + 4. Let z(l) = 6 + 9*l**2 + 6*l - 28*l - 21*l - 11*l. Let r(y) = -3*n(y) + 2*z(y). Find the second derivative of r(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -2. Let y be -1 + (4\/(-3))\/(-2). Sort p, 5, y in decreasing order.\nAnswer: 5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 56 = 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098128 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25416 + -25409. Suppose -6*u + 1317 = -3*u. What is the lowest common multiple of u and j?\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 19*h**2 - 25*h + 29. Determine n(-11).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 6*x + 3654. Does 24 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(256\/16)\/4*-13\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 501596659 or 501596658?\nAnswer: 501596659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.376217 and -0.040864.\nAnswer: 0.335353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609978411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-2)\/(-164)*-2). Suppose -y*g + 46*g = 2600. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + l + 11, 3*u + 5*l = -9. Suppose -u*o + 5*c - 12 = 0, -4 + 10 = 3*c. Let k = 47 + o. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -39. Is 2 + 1 + (-2910)\/((-3)\/n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418301 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2\/3 + 69445*v\/3 - 4922280 = 0. What is v?\nAnswer: 216, 13673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a88 + -2274?\nAnswer: -5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-61)\/(61\/15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n + 4. Let s(j) be the third derivative of -13*j**4\/24 - 3*j**3\/2 + 2*j**2. Let v(l) = -5*i(l) - 2*s(l). Is 11 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151645194.\nAnswer: 2, 3, 19, 443407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44246 is divided by 1115.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.974875683 rounded to 4 dps?\nAnswer: -0.9749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:13 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -32?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 1\/3*n**3 + 0*n**2 + 4 - 4*n. List the prime factors of g(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236649 and 23541.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -21. Suppose -s*r - 16 = 4*c - 0*c, -r - 10 = 4*c. Let i be (-125)\/(-30) + r\/12. Let t(g) = -g**3 + 3*g**2 + 6*g - 3. Calculate t(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 196*v**3 + 4*v**2 - 4*v + 270. Let w(x) = x**3 - x**2 + x + 2. Let s(l) = c(l) + 4*w(l). What is the derivative of s(a) wrt a?\nAnswer: 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/48452280 and 7\/25080.\nAnswer: 532975080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -250*i**3*t**3 + 40908*i**3 + 2327*t**3 - 2*t**2 + t + 557 wrt i?\nAnswer: -750*i**2*t**3 + 122724*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654 divided by -2907.\nAnswer: 218\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*g - 472 = 281, 0 = 5*n + 4*g + 930. Let o be n - (-1)\/1 - (-4 + 1). Let v = 377 + o. List the prime factors of v.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let s(x) = -x**2. Let j be s(0). Suppose j - 4 = 4*i + 3*o, -5 = 5*i - 5*o. Which is the closest to i? (a) v (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46834 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389629 is divided by 64938.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69700 divided by -34850.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2 - 7*v**3 + 4*v - 11*v - 3*v**3 + 7*v**2 + 4*v**3 - 5. Suppose -4*u = 14*u + 54. Let m(g) = g**3 - g**2 + g + 1. Give u*w(t) - 21*m(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9*a - 36 = 0. Sort a, -1, -5\/2 in descending order.\nAnswer: -1, -5\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-90)\/(-25))*-5. Suppose -c*t - 4*t = -532. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 395970356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u)**(-8))**(1\/55)\/((u\/((u*u**(1\/3))\/u))**(-2\/73)*(u**(1\/5)*u*u)\/(u\/(u**(2\/7)\/u))) assuming u is positive.\nAnswer: u**(-51677\/84315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aafaaf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5*n - 22 = 4*g, -2*g = 10. Which is bigger: n or 36.9?\nAnswer: 36.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38c (base 15) to base 7.\nAnswer: -2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = 29*c + 70, 3*t = c + 61 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 364 + -363. Let v(f) = f**3 + 3*f**2 - 4*f + 5. Let m be v(-4). Put 2, 0, m, p in descending order.\nAnswer: m, 2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011010011101110 (base 2) in base 6?\nAnswer: -5112354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**5 + 27*m**4 + 67*m**3 + 53*m**2 - 5*m - 20. Let s(p) = p**3 - p**2 + p + 4. Let k(t) = b(t) + 5*s(t). Determine x, given that k(x) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997 = 13*t + 1049 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n - 1066 = -63*n. Suppose -2*k - 47 = -5*c - 0*k, -2*k + n = 3*c. Solve c*p = 9*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**3*u**2 + 2*q**3 - 14893411*q**2*u**2 - 250130344*q**2*u wrt u?\nAnswer: 8*q**3 - 29786822*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (13*1)\/(2\/(-22)*11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*o - 10 = 0, -8 - 2 = -5*c + o. Solve c*j + 6 = -d - 1, -3 = -3*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 3*u**2 + 2*u - 3. What is t(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u = -83*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 77\/39?\nAnswer: 77\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {w: 1, f: 1, i: 1, g: 2, j: 2, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117555865, 235111722, 352667579, 470223436, 587779293, 705335150?\nAnswer: 822891007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, k: 8}. What is prob of sequence ffk?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 + -0.14. Let l = 55\/6 + -251\/30. Let r be 1*(5 + 2 + -2). What is the third biggest value in o, r, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 3*t + 4*t)*(-24 - 17 + 27)*(-1 + 2*t + 1)*(-16*t**2 + 32*t**2 - 18*t**2 - 1) as v*t**2 + x*t + y + r*t**3 + u*t**4 and give v.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + 3*(-1*sqrt(891) + -1)).\nAnswer: -108*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1018.8542 or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -167\/3, 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 15*p + 40. Give l(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*k + 8 = -476*k. Let d be ((1 - 1)\/(-6))\/k - -45. Calculate the highest common factor of 45 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:54 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/38 and 97\/626.\nAnswer: 11894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 2 = 0. Suppose b*z - 3*i + 9 = 0, z + 0*i = -5*i + 28. Differentiate -6 + 4*h**z - 3*h**3 - 2 wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 25 - 5 = 0. Solve -h - 2*h = 9, y*h = -r - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 + 2*f**2 + f**2)*(-150 + 70 + 1183*f - 282*f + 80).\nAnswer: -3604*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n + 0*n)*(-n**4 - 3*n**2 + n**2 + 0*n**2).\nAnswer: -n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32633, -130619, -293927, -522557, -816509, -1175783?\nAnswer: -1600379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 131523, 131506, 131467, 131400, 131299, 131158?\n\"Answer: -r**3 - 5*r**2 + 5*r + 131524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:52 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxzjzuzuuzuujxjjuzw. What is prob of picking 1 w and 2 z?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.95 - -577.05. Let t = -589.99854 + w. What is t rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*p - 20 + 46 - 16 - 10 to the form k*p + l and give k.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 334136590*c**2 - 668273174*c - 334136586.\nAnswer: -2*(c + 1)**2*(c + 167068293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 6. Let x be q(-4). Calculate the highest common divisor of 44 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 948524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 5*y**2 - 7*y + 5. Let a be p(2). Sort a, -1, -2, -5.\nAnswer: -5, -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 78 - (42 + 33).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyymijiijny. Give prob of picking 1 n and 3 i.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38246 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 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: Let b = -4 + 8. Solve b*l = 4*t, -18 = -t - 5*l - 0*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-5 + 279\/45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1082196, -2164384, -3246586, -4328808, -5411056, -6493336?\n\"Answer: -c**3 - c**2 - 1082178*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -15, -4, -2 in increasing order.\nAnswer: -15, -4, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((248\/(-24) + 11)\/(-36))\/(3\/(-12))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2.18\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 2*r**2 - r + 2. Let z be o(3). Let k = z - 3. Suppose -22 = -6*y + k*y. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -7)\/((-2)\/(-7)). Let v(o) = -o**2 + 9*o - 9. What is the units digit of v(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 - 78 = -8*k. Let x = -23 + k. What is the remainder when 24 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcddrcc. Give prob of sequence rd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89331.07t in milligrams?\nAnswer: 89331070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -4.2 (c) 3\/67 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = p, -4*p + 14 = 3*q. Suppose -4*z + 44 = -4*k, -1 + p = -k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1 - 8. Suppose -548 = -d*l + 1552. Round l to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11809*0.082.\nAnswer: 968.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(358 + 4*u - 82 + 16 - 82)*(5 - 5 + 2*u**3).\nAnswer: -8*u**4 - 420*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*t - 47, -3*d + 4*t = -t - 40. Let y = -5 + d. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m - 3. Let i be s(4). What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - (-2 + -6 + 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 48 = 29*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16670 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:22 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:43 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -21*n**3 - 1303*n**2 + 47*n - 2. Let r be i(-62). Is -6764 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 118 * -0.2.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -316066, -1264273, -2844618, -5057101, -7901722?\n\"Answer: -316069*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 94 + 197 = 3. Solve 3*p + 2*z - 17 = 0, r*p + 4*z = 21*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8278101 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 17. Let z(h) = 2*h**2 - 2*h + 2. Let b(g) = p(g) - 3*z(g). Let y(f) = 4 - 3*f**2 + f**2 + f + 0*f. Determine -3*b(c) + 8*y(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 4:46 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dck when three letters picked without replacement from dkcfp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*2\/(4\/1). Suppose 2*r = -b*w + 69, -4*w - r = 2*r - 58. Suppose 5*n = w - 3. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 - 128 = 5*w. Let q = -13 + 9. Put q, w, -12 in descending order.\nAnswer: w, q, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1. Let j(z) = 4*z + 4. Let r(f) = -4*c(f) - j(f). Let k(x) be the second derivative of -x**3\/2 - 2*x + 5. Give k(r(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l + 5504 = 5179. Solve -6 = 2*p, -12*t + 5*p = -7*t - l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(833))*6*1)**2 + 2.\nAnswer: -504*sqrt(17) + 30026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/14 - (-2340)\/(-315)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6135, 48998, 165347, 391926, 765479, 1322750?\nAnswer: 2100483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 36*q - 56*q - 107 + 27. Let b be c(-4). Is b greater than or equal to 4\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2414 + -32?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/5)\/(7\/(-35)) - 1. Let d(m) = 26 + 19 + 20 - m - j. Determine d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (66\/4)\/((-12)\/(-32)). Let i = 75 - s. Let b(x) = -4*x + 23. Calculate the remainder when i is divided by b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - j - 2. Calculate f(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727856357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -48*j**2 - 6*j - 6. Let l(w) = -w**2 + w + 1. Give f(z) + 6*l(z).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 10. Does 15 divide (f + 2)\/((-1)\/(-43))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17628749.867 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/24 and 47\/520.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 217 - -1?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m**2 - 336*m + 784 = 0. Calculate m.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 36321\/29 = 1252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, -1, 11\/3, 47.8?\nAnswer: 47.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/6 + (-2)\/(-6). Let s(i) = -2*i**2 - 146*i - 14. Let j(y) = -y**2 - 60*y - 8. Let q(n) = 5*j(n) - 2*s(n). Determine q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnsjsinjfs. Give prob of picking 1 n and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -13 (c) -0.5 (d) 30209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 < 8724118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -0.2 (c) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3993 rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27507 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-11))\/(c\/c**(-14)))\/(c**(-9)*c\/(c*c**10)*c))**39 assuming c is positive.\nAnswer: c**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 37*u - 123. Determine d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223427644.\nAnswer: 2, 17, 37, 433, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, s: 9, m: 2, i: 4}. What is prob of sequence smse?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -q - 3*q. Let h = 0.1 - 2.1. Let z = 0 + h. Which is the second smallest value? (a) q (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*i**4*q - 2*i**3*q + 2*i*q - 3564*q wrt i.\nAnswer: 88*i**3*q - 6*i**2*q + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12\/37, 0.3, 5, 0.2 in descending order.\nAnswer: 5, 0.3, 0.2, 0, -12\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*j**3*l*w**2 - j**3 + j**2*l*w**2 - 53*j**2*w**2 wrt l.\nAnswer: 29*j**3*w**2 + j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 924.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4 - 0)\/(4\/(-16)). Solve 2*w - 10 = -2*x, -3*x + y*w + 6 = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {w: 1, p: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 8770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.4 - -8.6. Suppose 4*z - 4 = -2*m, -4*m + 1 = 4*z - 7. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 7*j - 8. Suppose 2*b - b - 6 = 0. Let f be t(b). What is the third smallest value in 2\/5, f, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/6 + 4537*j**3\/3 - 6921683*j**2\/2 + 409872580*j\/3 - 4080657800\/3.\nAnswer: -(j - 4517)**2*(j - 20)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 7. Determine p(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - 308\/(-49). Suppose -21 = -3*l - c. Suppose 80 = l*j - 4*a, -4*j + 3*a - 16 = -5*j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**5 - 2076*u**4 - 3*u**3 - 115*u**2 + 16*u + 2?\nAnswer: 120*u**2 - 49824*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -191, -403, -695, -1061?\n\"Answer: k**3 - 49*k**2 + 14*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from {x: 5, o: 2, y: 1, l: 8, v: 3, k: 1}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -20, 1, -31 in descending order.\nAnswer: 1, 0, -6, -20, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3273240*d + 9864463 wrt d.\nAnswer: -3273240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*y - 5129, -t - 5*y + 0*y = 1311. Let s = t - -15413\/12. Find the common denominator of -99\/14 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*n)*(4 + 5 + 7*n - 8)*(0*n - 4*n + 6*n) in the form q*n**2 + g*n**3 + s*n + o and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/3)\/4)\/((-4)\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2880))\/((sqrt(4) - 3*sqrt(4))*5))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5265, -4991, -4731, -4491, -4277?\n\"Answer: -i**3 - i**2 + 284*i - 5547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5bfb (base 16) to base 6\nAnswer: 301003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13135 + -0.23135. Sort -0.05, -1\/8, 1\/4, a, -2 in decreasing order.\nAnswer: 1\/4, -0.05, a, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17760 and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 9 - 19 = 0. Suppose v = 2*h, h = 2*u + u - 116. Suppose l - 23 = -3*q + u, -5*q = -3*l + 130. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11687 - -31563. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 308154 - 982330 = -57*b. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6 - ((-18 - -18) + (12 - -3))) - -46\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*r + 19 = 7, 0 = a - 4*r - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r**2 - 3)*(8 + 2*r + 2*r - 5*r).\nAnswer: -r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -160, -327, -642, -1153, -1908, -2955?\nAnswer: -4342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3623 - -0.087.\nAnswer: -3622.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - 4541?\nAnswer: -4519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 3120?\nAnswer: -3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*c - 182\/3 - 1\/6*c**2.\nAnswer: -(c + 14)*(c + 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231808 and 110471?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 19*l**5\/5 + 7*l**3\/3 + 7. What is the third derivative of r(v) wrt v?\nAnswer: 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*c**4\/7 - 620*c**3\/7 - 576*c**2\/7 + 1296*c\/7.\nAnswer: -4*c*(c - 1)*(5*c + 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*q - 6, -s = -3*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h - 4*h - 8*h + h**2 + 0*h + 4. Let k be w(4). Find the second derivative of -x**4 + 7*x**k - 4*x**4 + 4*x wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 12.64?\nAnswer: -63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 15) to base 10\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 - -194. Suppose -5*c - 23488 = -d, -r*d + 29834 + 40588 = -c. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -27956*o - 810726. Calculate s(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3035 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/105)\/((-16)\/(-50)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4116 divided by -196\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 6 + 18. What is the remainder when (6 + 0)*(-4 + 22\/3) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**8\/168 + g**5\/4 - 6*g**2 - 16. Let u(r) be the second derivative of q(r). What is the third derivative of u(w) wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 3*r**2 + 2*r - 4. Let u be t(-2). Solve -3*n + n = -4*w + 4, 0 = -4*w - 2*n + u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 4*t + 4 + 2*t + 0*t - t**2. Let m be y(-4). Which is greater: m or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 8*a**2 - 3. Let r be h(-9). Suppose r = -3*y + 123. What is the greatest common factor of y and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 + 574*g**2 - 574*g**2 + 0*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(588) + (sqrt(588) + (sqrt(588) - 1*sqrt(588)) + sqrt(588) + sqrt(588) + sqrt(588) - sqrt(588)) + sqrt(588) - sqrt(588))\/sqrt(6).\nAnswer: -1 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16745*i + 49430. Let g(v) = 10047*v - 29658. Let d(r) = 17*g(r) + 10*s(r). Differentiate d(c) wrt c.\nAnswer: 3349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzxxxxzxzzz. Give prob of sequence zxz.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 38634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*f - 105*f - 1136. Let i = -141 + f. Put -2, i, -1 in descending order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10621 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/3 (b) -5 (c) -3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100584361.\nAnswer: 100584361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10535 is divided by 192?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-154)\/35)\/((-4)\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -26. Calculate the greatest common factor of 196 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 866 - 842 = -10*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than or equal to 0.0533353343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4 (c) -264 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8918 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.2, 27\/4, 54, 0.4?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -65*r + 59*r. Let l(h) = -12*h**2 - 2*h + 1. Calculate l(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from ggovdhm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*x - 18, g - 22 = 4*x - 9. Let u = 6 - g. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (2\/(-5))\/((-4)\/140). Sort 5, l, -4 in increasing order.\nAnswer: l, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 8 = -64. Suppose 4*r = x - 159, -2*x + p*x - 696 = 4*r. Suppose -7*m + x + 206 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*r - 250 = 0, -3*n + 2*r + 174 - 25 = 0. Let h = n + -51. Solve -3*o + 20 = 5*f, -h*f + 4*o + 4 = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/120 - 19*v**6\/480 - v**5\/16 - v**4\/96 + v**3\/12 - 6*v**2. Solve q(f) = 0 for f.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/2534820 and 1\/360.\nAnswer: 15208920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145010?\nAnswer: 2, 5, 17, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0*s + 9 = -3*s, 0 = 2*s + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36493\/15 - -2433. Let y = 60\/17 - 369\/119. Let p = -3.94 + -0.06. Put p, y, f in increasing order.\nAnswer: p, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 190 = 0. Suppose -2*w = -5*a + 97 + 18, -4*a + g = -w. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 31. Let l be (1\/p)\/(16\/(-96)). What is the remainder when 7 is divided by 0 + 13\/3 - (-1)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 5*n**4\/8 - 3*n**3 + 3*n**2 + 8*n. What is s in w(s) = 0?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30248736 and 30248736.\nAnswer: 30248736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15520892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -20*q**2 + 80*q - 10. What is g(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, o: 3}. What is prob of sequence ppp?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y - 15*y - 689*y**2 - 690*y**2 + 1378*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1862)*-1 - 4*sqrt(608))\/((sqrt(504) - (sqrt(504)*-2 + sqrt(504)))\/((sqrt(7)*-2 + sqrt(7))*3)).\nAnswer: 23*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 17 + 8*h + 2*h - 5 + 5 + (0 - 2*h + 0)*(-1 + 2 - 2) + 2*h + 3*h - 4*h in the form j + g*h and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88367)\/2149960 - (-6)\/(-177)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-14)\/3)\/2*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 57.9, -11, -0.5 in increasing order.\nAnswer: -11, -0.5, -0.1, 57.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81062 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 53*z + 26*z + 1 - 5*z**2 - 9*z - 201 = 0.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -886 divided by -25.\nAnswer: 886\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:32 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 + 257*y + 2374. Calculate i(-53).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z + 5. Let m(n) = 10*n - 7. Let f(v) = 5*m(v) + 7*q(v). Let c(t) be the first derivative of t**3\/3 - 30. Give c(f(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 - 449 = 4*l. Let d = l + 279. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2929*0.2.\nAnswer: -0.05858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b - 13*b)*(5*b - 5*b - 12 + 2*b**3).\nAnswer: -28*b**4 + 168*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/2151 and -9\/1195.\nAnswer: 10755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**2 + 7*c - 12. Let f(v) = v**2 - v. Let p(l) = -14*f(l) - 2*g(l). What is the derivative of p(o) wrt o?\nAnswer: -68*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*o + 4*o + 12, 32 = 4*n - 4*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145\/(-10) + 12 + (-67)\/(-14))\/(82\/2296).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*14*(-13)\/(-17472).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -571, -576, -585, -598, -615?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1.4, -329, -2\/55, 2\/9, -5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*t**2 + 4*t**3 - 7883*t**4 + 7854*t**4 - t**3 wrt t.\nAnswer: -696*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33044, -66102, -99136, -132140, -165108, -198034, -230912, -263736?\n\"Answer: t**3 + 6*t**2 - 33083*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 + (52 - 36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, a: 1, f: 1, e: 6, x: 1, r: 3}. What is prob of sequence afkr?\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u. Suppose u*v - 3 = v. Let q(x) = -4*x**3 + x**2 + 4*x - 1. Let k(w) = 3*w**3 - w**2 - 3*w + 1. Let p(g) = v*k(g) - 2*q(g). Factor p(f).\nAnswer: -(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 42 = -38. Suppose 4\/3*t**2 - 4\/3*t**3 + 2\/3 + 2*t - 2\/3*t**h - 2*t**4 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6 = -3*y, -3*d + 1 - 7 = -3*y. Suppose 0 = 3*j - 3*o - 6, 0*j - y*o = j + 4. Solve 0 = -4*r - 5*u + 12, 4*r - u - 13 + 1 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -500051 + 10202?\nAnswer: -445445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -1 + 0*u - u**2 + 0*u**4 - 1\/6*u**6 + 0*u**3 + 0*u**5. Find the second derivative of r(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + 1*sqrt(68) + sqrt(1377) + 0 + 5 + 2)**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 12*m**2 - 10*m - 12. Let s be o(-13). Let q be (-2)\/(-6) + s\/(-9) - 1. Let j = 4 + -1. Put q, j, 2, -1 in descending order.\nAnswer: q, j, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (23\/(-3))\/((-407)\/132 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 89 - 29 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.486, 8, -2\/3, 0.09, 2, 2\/15, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 22*o**2 + 1 - 9 + 0 in the form z + r*o + t*o**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367526 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 1144*s**2 + 2287*s**2 - 1165*s**2.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -31 (b) -5 (c) -0.5 (d) -0.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1318 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*n**2 - 388*n**2 + 710*n**2 - 162*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49090793472 + 0.68?\nAnswer: 49090793472.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 5*l - 4*l)*(l**2 + 2*l**2 + l**2).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 335922, 671845, 1007768, 1343691, 1679614, 2015537?\n\"Answer: 335923*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-24) + (468\/(-32))\/(-3). Solve r*d = 4*d + 5*y - 23, 4*d - y = -16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 4*v - 7*v)*(2 + 1 - 4)*(-3 + 2 - 1)*(-1 - 2 + 0).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-10) + (-12)\/(-30)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3)*l*(l**(7\/3)*l)\/l*l*l)\/(l**1)**(18\/7))**(-49) assuming l is positive.\nAnswer: l**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 q when four letters picked without replacement from bbqbqbqbbbqbqqqbqbq.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72371338 - 32125016. Let s = y - 40246297.9999938. Let n = s - 24. What is n rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 - -103. Let v(y) = -y**2 + 4. Let u = 22 - 27. Let h(d) = 2*d**2 - 9. Let q(m) = u*v(m) - 2*h(m). Calculate q(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526404837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24481.2 + -24481. What is the fifth smallest value in 16, q, -2, -7, -1\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*c**2*s + a**3*c*s - 4*a**3*c + 81*a**2*c**2 - 30*a*c**2*s + 2*c*s - 263*c wrt c?\nAnswer: 4*a**3*s + 162*a**2 - 60*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1610*n + 26319 = -50096 - 14360 - 28365 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, 581 in descending order.\nAnswer: 581, 34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + 1 - (-46 + -5 + 78)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 8*s**2 + s - 3. Let o be d(8). Let j = o + -3. Solve -7*n + j*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 2*u**2 + 2*u**2 + (4*u**2 - 2*u**2 + 2*u**2)*(4*u**2 - 3*u**2 - 3*u**2).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 0.0540519?\nAnswer: 8.9459481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -5 - (2 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 266581282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 5 - (6 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5440 + -5442. Do 190 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 7:05 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686591701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -50. Let k = t + -35. Differentiate -3 + 3*s**4 + 4 - k*s**4 - 6*s**4 wrt s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p - 56. Let t be 8\/(16\/21)*(-12)\/(-9). What are the prime factors of w(t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (168 - 2008 + 191 - 1602 + 418 - 2643)*(5*c - c - c) to the form a + h*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9) - (-4)\/(-72)*(-664 - 4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.433 rounded to 1 dp?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -8. Is 1\/(1*r\/(-51)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 587419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1700)*1)**2 - (1*(sqrt(17) - sqrt(17)*-1)**2 + ((2*sqrt(170))\/sqrt(10))**2 + sqrt(17) + sqrt(17)).\nAnswer: -2*sqrt(17) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2695\/7546)\/(4\/(-42)*5))\/((-1)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22363 + 22357. Let u(z) = z**3 + 3*z**2 - 18*z - 1. Give u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -83*g - 827. Let q be k(-10). Let d = 4 - 0. Let w = 8 - d. Solve -q*v - 3*b + 10 = -2*b, 4*v - 40 = w*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/1140*2*1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - d + 44. Let j be f(6). Solve j*n - 6*n + 20 = 2*a, 2*a - 4*n = -20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94436.39 - 86.\nAnswer: -94522.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 127*v + 40 + 61*v + 62*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -12*a + 10112. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 64869*f - 5578719. What is m(86)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591697?\nAnswer: 1591697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38725, 154855, 348413, 619405, 967837, 1393715?\n\"Answer: l**3 + 38708*l**2 - l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/68*-17*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -46. Let h(n) = -n**3 + 12*n**2 + 2. Let a be h(m). Solve -12 - 2*f**3 + 4*f + 4*f**a + f**2 - 2*f + 2*f = 0 for f.\nAnswer: -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*x + 110*x + 86*x = -17751 for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/8)*u*u)\/(u*(u*u**(-13)*u)\/u*u))\/(u**15*u*u**(1\/9)\/u*u) assuming u is positive.\nAnswer: u**(-215\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260) - -1*sqrt(1260))\/(-1*(sqrt(28)\/sqrt(4) + sqrt(7))) + sqrt(15)\/(sqrt(3) - sqrt(3)*-1) + -3 + sqrt(720) + sqrt(720) + sqrt(720))**2.\nAnswer: -183*sqrt(5) + 18641\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/7 (c) -171.2 (d) -39\/16 (e) 2\/7 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 3\/2, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 13*m + 3*m)*(-2 - 1 + 4) - 25 + 25 + 9*m - 3*m - 3*m + 5*m + (1 + m - 1)*(0 + 2 - 4) to the form r*m + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-16))\/(1214037\/1177248).\nAnswer: 108\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + -4. Let h = y - -15. Find the second derivative of -14*o - 4*o**2 - 4*o**2 - 6*o**h wrt o.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174702 is divided by 3712.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25212*j + 25199*j - 50413*j - j**3.\nAnswer: -j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 + 7*d + 5. Let x be z(-7). Suppose -7 = 2*p + x. Let r be (0 + 1)\/((-3)\/p). Solve 0 = -3*y - 2*j - 2*j - 2, 0 = -r*y + j - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43937 = 25*x - 191737. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238513911?\nAnswer: 3, 263, 302299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 47 = 3*g. Let y = -627 + 347. Let f = y + 380. Calculate the remainder when f is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*c = -1, -4*c + 9*c - 17 = -i. Suppose -2 = i*w - 14. Which is smaller: w or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5235773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-110)\/12))\/((170\/15)\/34)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v + 69*v = 275*v - 145 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, b: 4, c: 4}. What is prob of sequence cb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54407\/14 + 7773\/2. Sort 45, s, -39.\nAnswer: -39, s, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1759355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0154 - -0.2346. What is the third biggest value in -3\/5, -1\/6, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10180 > -10182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/5 (b) -5 (c) -4 (d) -866 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -845, -6084, -15701, -29696, -48069, -70820?\n\"Answer: -2189*s**2 + 1328*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9927?\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. What is the smallest common multiple of r and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -920 + 919.8. Let k(y) = -4*y**2 + y + 1. Let t be k(-1). What is the third smallest value in -6, -5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Let z(h) = 5*h + j + h - 4 - 4*h. Determine z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.49713593034372 + 0.1?\nAnswer: 5.59713593034372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 1547*u**2 - 3350*u + 439. Differentiate y(f) wrt f.\nAnswer: 3094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1701 and 56?\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16 - 93\/(-3))\/(2\/4). Which is greater: m or 28?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44496?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-226.069191\nAnswer: -90.4276764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.8 + -16. Let c = 1.8 - s. Let p(n) = n**2 + n - 3. Let y be p(0). Sort c, 1, y.\nAnswer: y, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8899 + -8900.3. What is the third biggest value in x, -0.017, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lclllcclcllc.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 6*r - 3. Suppose -5 = 3*j + 5*z, j + 4*j = 5*z + 45. What is c(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - 2*z)*(-22 - 89 + 8).\nAnswer: 206*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153013941?\nAnswer: 3, 629687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 + 196. Let x = -6 + 37\/6. Factor -x*a + 1\/6*a**l - 1\/3.\nAnswer: (a - 2)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*2\/1 - (-42 - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**9\/3024 - i**7\/420 + i**5\/120 + i**3 + 7*i**2. Let l(b) be the first derivative of v(b). Factor l(w).\nAnswer: w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685422084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460075?\nAnswer: 5, 7, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/4*5\/30*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/3 + 3356*q**3\/3 + 175255*q**2\/3 + 215796*q = 0.\nAnswer: -3303, -49, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let k = -289 + 286. Sort o, k, -4, 5 in ascending order.\nAnswer: -4, k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 b when four letters picked without replacement from btbbttbttt?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 - 2951\/2724.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**22\/(y\/y**(1\/26)*y)*y**(2\/21)*y*y*y**(1\/4)*y assuming y is positive.\nAnswer: y**(25535\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -651431 by -703.\nAnswer: 651431\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. List the prime factors of -14*2\/(-4) - r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/11626833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.4, 0, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5 - 16. Suppose 3*s + 3*c - d*c + 14 = 0, 21 = 3*s + 3*c. What are the prime factors of (25\/s + -6)\/((-1)\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 8*u - 2. Let l be v(-6). Suppose 0 = -5*g + 439*d - 441*d + 878, 2*d = -2. What is the greatest common divisor of l and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - 2*r**3 + 0*r**3 + 5*r**3 - 4*r**3 - 2*r**3 + (1 - 6 + 3)*(-3*r**3 + 0*r + 0*r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3 + 0\/(-3). Let j be ((-2)\/3)\/(t\/(-54)). Let r(k) = 67*k - 20. Is r(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w - 5. Let i = 0 + 5. Let m be p(i). Suppose 0 = -3*z + 9 + m. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 + 3*s - 6. Let t be (-3 + -3)*(-1 - 0). Let u be -5 - 0\/(t\/(-2)). Give w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -38\/7 (b) -2\/21 (c) 0 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99982 and 3622.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4295116823 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26956 by -46.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14408880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n - 16 = 0. Let u = n + 1. Let z(i) = -i. Let a(r) = -8*r - 4. Let q(x) = -a(x) + 5*z(x). Calculate q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126314275?\nAnswer: 5, 23, 219677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18427723 divided by 1697\nAnswer: 10859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(((-330)\/(-33))\/330).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 78\/858 - (-186)\/11\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 54 = -3*x, -2*x + 220 = 5*w + 185 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + 1 + 3 + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(2*q + 0 + 0) + 2*q + 4 - 4 + 177908*q + 85 + 106 - 177918*q.\nAnswer: -4*q + 191","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 768093 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*q**3 + 0 + 165*q**3 + 5*q + 3 - 44*q**3 + q**2 - 1 - q**4 to the form w*q**4 + b*q + j*q**2 + r + z*q**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:45 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212fee (base 16) to base 10.\nAnswer: 2174958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/14, -0.04, 9\/2, 2\/5, 1\/7 in descending order.\nAnswer: 9\/2, 2\/5, 3\/14, 1\/7, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - 2a0a?\nAnswer: -29a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/266706 and -11\/8531?\nAnswer: 5067414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*g, -5*x + 2*x - 4*g + 13 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -457030.92 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) 97\/2 (c) 3100 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23692938.\nAnswer: 2, 3, 859, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y - 1. Let k(o) be the third derivative of -o**5\/3 + 5*o**4\/6 - 3*o**3 + 12*o**2 - 39. What is -2*k(d) + 36*r(d)?\nAnswer: 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 * -475.04.\nAnswer: -60805.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 453935 and 59.\nAnswer: 26782165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46.17 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 280*l**3 - 45*l**2 + 4*l - 19. Let v(g) = 279*g**3 - 54*g**2 + 5*g - 19. Let k(a) = 5*p(a) - 4*v(a). What is the third derivative of k(n) wrt n?\nAnswer: 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*b = 303*b - 50*b + 15875 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5078911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150\/7 - 40\/7*i - 2\/7*i**2 = 0 for i.\nAnswer: -15, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 530.1854 hours?\nAnswer: 31811.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeezugzhggg. What is prob of picking 1 h, 1 g, 1 z, and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*l - 427578 = -421770 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1416*i + 1032 wrt i?\nAnswer: 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15*3\/((-18)\/(-4)))\/(-2). Let w be (68\/x)\/(4\/(-170)). Suppose -2*k + 224 = -4*d, 4*d + w = 3*k + 2*k. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**3 - i**2. Let a be r(-1). Let q = -16 - a. Let m(c) = -10*c - 1. List the prime factors of m(q).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 14*i - 22. Suppose -2*x - b = -7*x - 11, 5*b = 5. Let f be h(x). Sort 4, 0, f, -33 in increasing order.\nAnswer: -33, 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 15*t + 5. Determine k(-20).\nAnswer: 2305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h - 3. Suppose -5*j - q = -6*q - 420, 364 = 4*j + 3*q. Calculate the remainder when g(-6) is divided by (15\/4)\/(33\/j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292983 = 44*x + 1879. What are the prime factors of x?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 67410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 148.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*u + 0*u + u)*(-1 + 1 - 1) + 3*u - u + 0*u + u + 504 - 500 + 3*u)*(-33 + 2*u - 2 - 7) in the form z*u + b + v*u**2 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 108815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 - 2*c**2)*(4*c**3 + 3*c**3 + 2*c**3).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose 0 = -i - k*i + 12, -5*d + 25 = 5*i. What are the prime factors of (-117)\/6*d\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -762 - -766. What is the second derivative of 7*m + 12*m + 10*m - 32*m - 147*m**4 - 3 + 37*m**p wrt m?\nAnswer: -1320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 170\/51*(-7962)\/(-5). Let t = 11425 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143363 is divided by 831?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/97 - 91\/291. What is the closest to -1 in 3, d, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - w + 0*w - 18 = 0, o = -4*w + 13. Suppose a + o*h = 0, -11 - 6 = -3*a + 2*h. Let b = a - 3. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -28.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05978 - -46044353\nAnswer: 46044353.05978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3)*1*21. Let t be (-2)\/(0 - -2) - -1. What is the remainder when (t - -1 - 2) + j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11*64\/(-13728)*-8).\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 33024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/16 (b) -10194 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 298605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c. Let h(o) = -4*o - 79. Let w be h(-20). Which is bigger: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4933, 9866, 14799?\n\"Answer: 4933*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 (base 16) in base 11?\nAnswer: 69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - p**2 + p. Let r = -25 + 26. Let u be z(r). Let b(q) = 0*q**2 + 5*q - q**3 + u - 7*q + 6*q**2. Calculate b(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/110)\/(3\/85)*8\/(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0726 + 228.4226. Let p = 40.45 - w. What is p rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 230 = -215. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v - 13. Let j be q(8). Let n be (0 + -126)*10\/20. Let z = j + n. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21243759 a multiple of 7092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a0 (base 11) in base 7?\nAnswer: -11302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:31 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = -1031 - 212 + 5 - 322 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*3 - (-96426)\/7524 - (-2)\/(-4)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let r be 2 + 0*3\/(-6). Suppose -r*i - 2*p = 0, 5*p + 14 - 4 = 0. Let h(y) = -2*y**2 - 6*y**i + 7*y**2. What is h(f(d))?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 11*k. Let i(m) be the second derivative of -m - 1\/2*m**3 + k + 3\/2*m**2. What is the first derivative of i(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 6:52 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14593048 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (30\/(-144) + -12))\/((14000\/(-64))\/(-25))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 1. Let l be q(1). Let c(k) = k**3 + 6*k**2 - k + 38. Let v be c(-7). Sort v, 1, 5, l in decreasing order.\nAnswer: 5, l, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = 3*r, -6*r + r = 3*x - 8. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 68 = 299*o - 321*o, 3*n - 21 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/3))*(z**3\/z)\/z*z*(z\/(z**(-1\/3)\/z))\/((z**(2\/13)\/z)\/z))\/(z**(-2\/5)*z**8)**42 assuming z is positive.\nAnswer: z**(-61169\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)*i\/i**(-2))**17 assuming i is positive.\nAnswer: i**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-45))\/(2\/((-18)\/(-3))). Let g be 830 + (-45)\/10 + 6\/v. Calculate the greatest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193 or 4450\/23?\nAnswer: 4450\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from cjjjjcjjjcccj.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let i = z + 2. What is the smallest value in -1\/5, i, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**4\/6 + 20*z**3\/3 - 5*z**2\/2 - 8*z. Let x be y(20). Let g be 450\/9*(-2)\/x. Solve -5*t + g = 5*f, 0 = 2*f + 2*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 26. Suppose -2*v + a = -11, -n*v + 4*a + 7 = -28. Suppose v*t - 88 = -13. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qntfqqnftqqtnqnttnq. What is prob of sequence nqn?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19411 - -20636. Does 49 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653884810*c - 1307769599*c + 653884787*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2459 * 9283.\nAnswer: -22826897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -167, 4\/3, 2, 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.6 - 9.6. Is 0.66 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000210216 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 - 335. Let a = 392 + j. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -1 - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -16*t**3 + 11*t**2 + 26*t + 5. Let s(q) = 3*q**3 - 2*q**2 - 5*q - 1. What is -2*k(f) - 11*s(f)?\nAnswer: -f**3 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + (4 - 7 - -43) + -3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 145095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*r = -6*x + 56, 52 = 3*x + r. Suppose 7*c = x*c - 4200. Round c to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822930 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -41 and 2623556.\nAnswer: 2623515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-4) + (-18)\/120)\/((-384)\/(-1600)). What is the nearest to -75 in -4, -3, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 8*s + 5. Let a be y(-7). Let i be (a - 20\/(-12))\/(-1). Which is smaller: 0.4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3402\/(-36) - -51) + 44)*-76.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*l - 2 = -14, -3*q + 5*l = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l + 4. Suppose -172*f - 3*u = -170*f - 9, -u = 3*f + 4. Let d(i) = -4*i - 2 - i + 4. Determine f*p(k) + 7*d(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*o + o - 148, 5*o - 82 = -3*u. Find the second derivative of -2 + 2*y + u*y - 1 + 40*y**2 + 1 wrt y.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/1*((-2)\/35)\/(1035\/170775).\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i + 15. What is t(-9)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/2 + 24475995*r - 599074331240025\/2 = 0. What is r?\nAnswer: 24475995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -9 - -2 - (100 - 84)) + 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331564, 663246, 994928, 1326610, 1658292, 1989974?\nAnswer: 2321656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(363) - (sqrt(363)*2 + sqrt(363) - sqrt(363))**2)*-2 + (sqrt(363) - sqrt(363)*-1)**2*-3 - -4*(-3*sqrt(363)*3)**2).\nAnswer: -22*sqrt(3) + 116155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49241, -49295, -49351, -49409, -49469, -49531, -49595?\n\"Answer: -i**2 - 51*i - 49189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.09, 0.504, -4\/7, -1, 0.1, -2\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/3 (b) 7912171 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -140. Suppose 3*i + k*w = -12, 0 = -3*i - 39*w + 34*w - 10. Let o = -10677\/20 + 534. Which is the second smallest value? (a) o (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -170, -198, -226, -254?\n\"Answer: -28*f - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83132.93 decades in months?\nAnswer: 9975951.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 5:17 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/237? (a) -3 (b) 3\/4 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -262 + 2*a + 7*a**3 - 24*a**3 + 161 - 53*a**3 wrt a?\nAnswer: -210*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -3 + -2 + 41. What is the greatest common factor of m and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2167 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/10 + 4\/(-10). Let i = 196 + -199. Let r be 1 + l*i\/(-3). Solve r = x - 2*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 4 - 1 - (4 - 12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjvjjnjxxvjjjjvjzm. Give prob of picking 1 z and 2 j.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 136503?\nAnswer: -136497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164622 is divided by 1697?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 17 + -17 + (-170)\/(-4)*6?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 748.3 + -748. Which is the second biggest value? (a) m (b) 7 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f + 34. Calculate r(-18).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1404.4999992553 - 1404.5. What is t rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z. Let t(a) = 6306*a - 760. Let m(d) = -3153*d + 434. Let w(c) = -7*m(c) - 4*t(c). What is w(x(i))?\nAnswer: 9459*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 30*m + 109. Let w be t(33). Let n = w - 8. Solve -2*s = 4*y - 14, 8*y = n*s + 3*y + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 32. Let y be k(-20). Let p(f) = f + 11. Determine p(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 91, 75, 43, -11?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 50 = -15*u. What is the closest to -2\/7 in u, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*s + 4 = 0, -3*h + h + 5*s = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 0.2, 135, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144689671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*y + 4 = 0, -5*y = -6*f + f + 10. Let o be (f - -1)\/((-1)\/(-2)). Let k(w) = -w**3 - 6*w**2 + 5*w - 10. Let t be k(-7). Solve -o = -3*n + t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 5. Let p be 7\/t - (-14)\/(-6). Let j = 24 - p. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y*y*y**0*y**(-7)*y*y*y**(-3\/2)*y assuming y is positive.\nAnswer: y**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 438, 878, 1318?\n\"Answer: 440*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (23 + -7 - 25)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 - 35*b**2 + 50*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27866 + -28008. Sort f, 1, 0.05.\nAnswer: f, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 + 2*f**2 + 5*f**2. Let q(v) = v. What is q(n(h))?\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0785? (a) 46\/9 (b) -1\/9 (c) -2 (d) -4 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123494?\nAnswer: 2, 7, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 86 times 2506\nAnswer: 215516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -15*t - 12. Let s(d) = 5*d + 4. Suppose 2*p + 4*y = 16, 543*p + 2*y = 547*p + 38. Calculate p*a(r) - 17*s(r).\nAnswer: 5*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s - 3. Calculate w(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243744778.\nAnswer: 2, 121872389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 451?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n - 1. Let t be (1\/(0 + -1))\/1. Let h be f(t). Differentiate h*p - p + 0 - 5*p + 3 wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 50.69089 milligrams?\nAnswer: 50690.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47965918*a**3 + 65060586.\nAnswer: -143897754*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 547*k**5\/5 + 472*k**3\/3 + 600. Find the third derivative of o(d) wrt d.\nAnswer: 13128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109526*i**4 - 2*i**2 + 53308 wrt i.\nAnswer: 2628624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 46 - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.053 <= 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6943.\nAnswer: 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363204343, 726408687, 1089613031, 1452817375?\nAnswer: 1816021719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x + 459. Give t(-44).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.581028 millilitres?\nAnswer: 0.000581028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691420 divided by 8682?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/(-24) - 14\/(-7). Sort 4, -1, j.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99836981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = 2*z - 12*j + 5, 0 = 5*z - 5*j + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 2558, 6419, 11836, 18815, 27362?\nAnswer: 37483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8442*y**2 - 4334*y**2 - 4103*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95825132*r**4 + 72064453*r**2 wrt r.\nAnswer: -2299803168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*w**2 - 2 + w**3 - 8*w**2 - 64*w**2.\nAnswer: w**3 + 37*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + 0.4. Let b = v + -1.4. Let x = b + 0.3000005. What is x rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 1721 + 4*q**2 + 5423 - 6*q**2 + 2*q**2 in the form l*q**2 + m + k*q and give m.\nAnswer: 3702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10910\/(-15))\/(-2) - (-1)\/3. Suppose -3*n - 3*l = -l - 556, -2*n + b = 3*l. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -26. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(418)\/(4*sqrt(11)))\/(sqrt(200) + -3*sqrt(200)).\nAnswer: -sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -88. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*w + 17 = -w, -4*w + 24 = 4*d. Suppose i = 2 + d. Let x be i\/6 + 1 + -3. What is the third biggest value in x, 1, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + -3 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - p - 5, 3*p - 5 + 0 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97410*v - 97410*v - 3*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3 + (-5)\/(-1)). Suppose -2*q + 10 - 4 = n. Suppose 2\/3*u**q + 0*u - 2\/3*u**2 + 0 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72991 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - (-90 - -17 - 63)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 154, 312, 472, 634?\n\"Answer: k**2 + 155*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 41*c + 4. Let h be o(3). Suppose -5*t = -3*n - 384, 0 = 2*t + 2*n - h - 33. Suppose -4*f - 5*k + t = -83, 32 = f + 4*k. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 21*u - 36. Let j be l(17). Suppose -y = 5*m - 189, 4*m + 139 + j = y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and (-13 + (-330806)\/(-25256))*4\/(-6)?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*z**2 + 1353*z - 662*z - 689*z + 2 to g*z + r + c*z**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18707*0.3.\nAnswer: -5612.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 50 = 5*c, -2*a - 2 = 8. Let b(z) = c*z - 13*z - 27*z - 4 - 13*z**2 - z**3 - 3*z. What are the prime factors of b(-10)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 107*p + 16. Let i be a(12). Suppose 7*y - i = 1024. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, l: 5}. What is prob of picking 3 k?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8*q**(-11) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 - -10.8. Let i = w - 16. Let n = i + 6.5. What is the closest to -0.1 in n, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 47965615\nAnswer: -4\/47965615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/18 and (2\/5502)\/(4*33\/1309).\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7697454178 rounded to the nearest one hundred thousand?\nAnswer: 7697500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53829 or 53907?\nAnswer: 53829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*d = -734, 0*y + 738 = y + 2*d. Calculate the highest common factor of 128 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221137 to the nearest 1000.\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72930570\/11 or 6630052?\nAnswer: 72930570\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-24))**(-3\/10)\/(((f\/(f\/(f\/(f\/f**(-35)))))\/f)\/f)**14)**(3\/29) assuming f is positive.\nAnswer: f**(7878\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**2 - 18*i**2 + 79*i**2 - 20*i**2 - 27*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**3 - 11*k**2 - 16*k + 3. Let q(j) = 2*j**3 + 4*j**2 - 1. Determine -3*q(w) - s(w).\nAnswer: -14*w**3 - w**2 + 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -2*d, -d + 3*s + 1 = 2. Suppose u = -3 + 1. Let z be 2\/4*(-6)\/(-1). Sort d, u, z in increasing order.\nAnswer: u, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 + 4*r + 1. Give l(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*u + 2 = 0, f - 5*f + 4*u = -12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152497323 and 18711.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77\/27 or -4?\nAnswer: -77\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -932*a**3 + a - 18253 wrt a.\nAnswer: -2796*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*h - o, 444*o = 2*h + 441*o - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Which is bigger: s or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 2*u**5\/5 + u**4 - 10*u. Factor j(x).\nAnswer: 4*x**2*(2*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p + 4*k, 4*p + 11*k = 6*k + 18. Let z = -78 - -55. Let o = -22 - z. Is o <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78518053 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -0.0026?\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((3 - 5)*(-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 11*v - 98 = -8*v + 24*v, 4*x - 5*v = 92 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.4 (c) -14 (d) 5 (e) 3\/11 (f) 106\/61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -132. Which is the nearest to -132? (a) 0 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172*a**2 + 57*a + 1004.\nAnswer: 344*a + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92853045 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 242\/(-11) + 13 - -21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let f(v) = 5738768*v**2. Determine p(f(a)).\nAnswer: -32933458157824*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 3*q - 0 + 3, 2*q + 12 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g**3 - 10*g**3 - 25*g**2 + 12*g**3 + 89*g**2.\nAnswer: 52*g**3 + 64*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s - 54*w = -59*s - 56*w + 57, -59*s + 654 = 5*w for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-42) + 2 + 34\/(-14). Let u(o) = -o**2 + 8*o - 6. Let l be u(7). Sort l, m, 0.3.\nAnswer: m, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9*3)\/((2576\/(-32))\/(-23))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwww. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m**5 + 0*m**4 + 7*m**5 - 3*m**4 + (14*m**4 + 0*m**4 - 2*m**4)*(3*m - 3*m - m).\nAnswer: -14*m**5 - 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14819942, -14819944, -14819948, -14819954, -14819962?\n\"Answer: -o**2 + o - 14819942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 - -3a?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -19. Solve -5*j - 4*g = 13, -w*j + 3*g = -6*j - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659872, -659906, -659964, -660046, -660152?\nAnswer: -660282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/30*(-24)\/3*45\/21?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 148, 499, 1190, 2335, 4048, 6443?\n\"Answer: 19*m**3 - m**2 - 5*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669728 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 77*x**2 + 156*x - 152. Let o be g(-79). Put -1\/3, o, 0 in increasing order.\nAnswer: -1\/3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b - 4*b + 63*b**3 + b.\nAnswer: 63*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 21. Give o(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(56\/(-7))*(9\/13)\/(90\/12).\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + h - 24 = 0, 4*m + 10 - 42 = 2*h. Let u = m + -6. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:03 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234462022.\nAnswer: 2, 71, 457, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*o - 1928*o + 626*o + 631*o.\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 - 4*z - 2. Let j be w(-4). Suppose 69*y = 80*y + 121. Let p = j - y. What is the lowest common multiple of 33 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/17))\/i**(-11))**20 assuming i is positive.\nAnswer: i**(4120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = 0. Suppose u = -4*f + 2*f + 92. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228152\/75 - 3042. Sort h, 2, -2\/5 in descending order.\nAnswer: 2, h, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 17*j**2 - 9*j + 10. Let l be w(8). What is the third derivative of -35*s**3 + 15 + 3*s**4 + 80 + s**l - 1 wrt s?\nAnswer: 72*s - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from ctathvb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64061, 128133, 192205, 256277, 320349, 384421?\nAnswer: 448493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 84, 88, 92?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -292600 (base 12) in base 13?\nAnswer: -1b157b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 171282599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(495\/(-319)) - (3 - 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c + 122 = -46 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -13.7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3 - k**2 + 0 + 0*k + 6*k. Let f be o(5). Let m be (-5)\/2*8\/(-5). Is f less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -7, -2, 15, 50, 109, 198, 323?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52 - ((-19)\/5 - (-4)\/5). Let w = i - 40. Calculate the least common multiple of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k\/(k\/(k\/k**0))*k)))\/k)\/((k*k**(1\/3))\/k*k*k))**(-31)\/((k**(-2\/5))**(-16)*k*k**(-5\/3)*(k\/k**(-1\/2))\/k) assuming k is positive.\nAnswer: k**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 + 7*i + 5. Let r be n(-5). Let v(k) = 2*k. Let x(s) = -4*s + 1. Let w(b) = r*v(b) - 2*x(b). What is the units digit of w(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 7) + -11 - (-1 + (1 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 20) + 12 - -2 - -12 - (-2 + -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*n**3 + 218*n**3 - 58*n**3 - 81*n**3 + 2 - 8670*n**4 to d*n**3 + k + s*n**4 + z*n**2 + b*n and give s.\nAnswer: -8670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 607 - 605. What is the first derivative of 27*x - 154 - 9*x**m - 28*x + 82*x**2 wrt x?\nAnswer: 146*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 + 3*f\/2 - 3.\nAnswer: 3*(f - 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.1 and 13273?\nAnswer: 13285.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2835, 22460, 75685, 179310, 350135, 604960?\n\"Answer: 2800*s**3 + 25*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 2904*r**3 - 5796*r**2.\nAnswer: -3*r**2*(r + 2)*(r + 966)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 23*r**2 + 20*r + 108. Calculate t(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 177*h - 1668. Calculate z(9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2812*l**2 + 69 + 468*l**2 - 67 + 1013*l**2 in the form f*l + s + a*l**2 and give a.\nAnswer: 4293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65117 + 65119. Factor 32\/9*r - 256\/9 - 1\/9*r**o.\nAnswer: -(r - 16)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 433.448 litres?\nAnswer: 433448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 6*r**3 + 37*r**2\/3 + 132*r + 484\/3.\nAnswer: (r - 11)**2*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 30*d**2 + d + 29. Give p(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -2. Let x be (-6)\/18*0*1\/(-2). Let y = -0.01 + -1.99. Sort v, x, y in ascending order.\nAnswer: y, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/11)*(q*(q*q**(-2\/7))\/q*q)\/q)\/(((q*q**2)\/q)\/q*q*q*q*q*q*q**5\/q*q))\/((q**(-3)*q**(-5\/3))\/(q**(-2\/5))**(27\/5)) assuming q is positive.\nAnswer: q**(-40199\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/100800 + s**7\/6300 + s**6\/1200 - 2*s**5\/15 - 3*s**2. Let c(p) be the third derivative of o(p). Factor c(y).\nAnswer: (y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*i + 15*i + 0*i)*(-2*i + i + 2*i)*(2*i**3 - 5*i**3 + 2*i**3).\nAnswer: -45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**6\/120 + j**5\/30 - j**4\/24 + j**3\/3 + 2*j**2 - 1. Let f(y) be the second derivative of m(y). Calculate f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 479 + 59. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1053 = 3*c + 1722. What is the common denominator of (0 - 4) + c\/(-450) and -32\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91865688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 16*y**2 + 23*y - 17. Let u be b(17). Calculate the highest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (3 - 11)) + -4 + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/38? (a) -5 (b) -14 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 37. Suppose q*h = -8*h + 480. What is the least common multiple of h and 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + t + 2. Let i(g) = 8*g**2 - 17*g - 18. Let a(z) = 36*h(z) + 4*i(z). Determine l so that a(l) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-1470)\/336 - (3 + 0 + -3)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5076 - 6806.\nAnswer: -11882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/108*45\/20.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = -k - 150, -4*k = 0. Calculate the remainder when g is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7037, 6839, 6641, 6443, 6245?\n\"Answer: -198*p + 7235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and -79\/628?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Suppose 2 = z + z - u, q*z + 5*u = 26. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + g = g. Put -4, g, 1, -2 in increasing order.\nAnswer: -4, -2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(98) + 0)**2.\nAnswer: -14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -0.6, 0.5, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*h**2 - 10*h + 2 - 3 + 44*h**2 + 13*h - 135*h**3 + 2 as a*h + b + v*h**2 + o*h**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57477 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/20 - u**4\/12 - u**3\/6 + 114*u. Let i(m) = -2*m**3 + 3*m**2 + 3*m. What is -i(s) - 3*r(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14242?\nAnswer: 2, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**3 - 7*n**2 - 21*n - 19. Let d(b) be the first derivative of l(b). Differentiate d(g) wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*i - 305 - 16, 3*i = 3*v + 915. Let b = v + -152. Let c = -208 - b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0 + 0*a - 1\/7*a**4 - 10\/21*a**3 + 142*a**2 - 1\/105*a**5. Let q(g) = 0. Calculate g.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1648 = 3*f - 5*o, 4*o = 3*f - 183 - 1463. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:51 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 11*x - 3*x - 18*x - x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**3 - 27*d**2 + 68*d - 243878 with respect to d.\nAnswer: 9*d**2 - 54*d + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.63 + 0.23. Let x = f + 1.5. Which is the nearest to 2\/5? (a) x (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 6*u**2 - 2*u + 1. Find the common denominator of -7\/9 and l(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.2 (c) 18.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4 = 0, 2*x = 309*c - 301*c + 44 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6420 - 29. Suppose c = -4*o - 3*x, -4*o = -3*x + 5*x + 6394. Round o to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -112*t - 887. Determine m(-10).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/298375*589 + 8\/(-140)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 240 = -5*b, 4*b + m - 225 = -b. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 180?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*c + 717*c + 2349 = 1343*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Let n be (-188)\/(-28) + g\/14. Let j(i) = -i**2 + 6*i + 14. Let m be j(7). Calculate the highest common divisor of n and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/30 - 317*w**4\/24 + 877*w**3\/6 + 398*w**2. Differentiate k(c) wrt c.\nAnswer: -4*c - 317","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s**2 + 4\/3*s**3 - 224*s + 1472\/3 = 0 for s.\nAnswer: -23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 31*m - 78*m + 16525 = 23977 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in 6853, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 4, m: 3, e: 2}. Give prob of picking 1 q and 1 r.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) 5 (c) -3.5749\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19474.\nAnswer: 2, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**7\/420 + d**6\/180 + d**5\/60 - d**4\/12 - 4*d**3\/3 + 2. Let x(g) be the third derivative of u(g). Factor x(n).\nAnswer: -2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240 divided by -20?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Suppose 3*d - 12 = -4*w, 0*d + 12 = 4*w + b*d. Solve -w*j - 10 = -2*v - 30, -3*v - 5*j + 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d*d**(2\/55)*d assuming d is positive.\nAnswer: d**(-108\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-4)\/(-122) + (-91)\/14*(-63)\/(-20862))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - d + 1. Let t(g) = 18711*g**2 - 10206*g + 10206. Determine t(m) - 10206*w(m).\nAnswer: -1701*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 482632577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 - 2*m + 1. Let d be g(1). Suppose -3*w - 3*l = -39 + 9, -3*w + 3*l = -18. Let v = d + w. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 10*h - 11*h - 33*h - 9*h + 87*h - 12*h.\nAnswer: -6*h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + -101. Let r = i - 10. Which is smaller: 1\/19 or r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-56 - -67) - 33.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28923082 - 7055370.\nAnswer: -35978452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - l**2 - 6*l - 6. What is the remainder when q(5) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + k**2 + 9 + 0 - 3 + 9*k**3 to the form c + d*k**2 + w*k + x*k**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5134.058 to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 0, 4, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4818 less than 0.2?\nAnswer: -4817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 7*j**2 - 20*j + 4. Let t be r(3). Let k be 10\/(-1 - (-19)\/17). Calculate the greatest common divisor of k and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5601 and 14936?\nAnswer: 44808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjzjjr. Give prob of sequence rz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3527.6 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -142?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -16\nAnswer: 21\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-12)*-3 - -7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkknnkkkkkkkkkkknkkk. Give prob of picking 1 k and 2 n.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2*(-8 + 260\/32). What is the nearest to -3\/2 in -3, -1\/4, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 8*i - 32. Suppose 5 = 2*s - s, -i*o = -4*s. Solve -6 = -o*t + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2553, 0.2, -0.04, 0.5, -159 in descending order.\nAnswer: 2553, 0.5, 0.2, -0.04, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 11*b**3\/6 - 12*b. Let l(s) be the first derivative of -2*s**3\/3 + 123. Give l(v(k)).\nAnswer: -242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202304 (base 5) to base 7.\nAnswer: 25116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154802 or -154804?\nAnswer: -154804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -902155*-7.\nAnswer: 6315085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0.4 (c) -1\/17 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6474 - 6472. Solve 0 = -r + 4*g - 8*g, 5 = b*r + 3*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**2 - 16*h - 132. Does 17 divide w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*c = -16, 7*c - 3 = 3*i + 4*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*b**4 - 2*b**3 + 2805*b**2 + 2182251*b.\nAnswer: 1164*b**2 - 12*b + 5610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/4, 12522, -0.2.\nAnswer: -0.2, 29\/4, 12522","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1062, 0, 1, 5, 4 in increasing order.\nAnswer: -1062, 0, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2dce3 (base 16) to base 15\nAnswer: 3a8ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9)*(s\/(s*s*s*s**8))\/s)\/(s**(-2\/19)\/s**(2\/19)))\/(s**(-7)*s**(-14))**(-35) assuming s is positive.\nAnswer: s**(-14341\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 5, l: 2, e: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 535145.\nAnswer: 535145.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-12)*21*10?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-217)\/1085)\/(-1*1\/(-1)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 + 99 = 0. Let d = 28 - i. Let j = d - 6. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 2*t - 20 + 20 + 3*t in the form b*t**2 + m + r*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 876\/(-9344)*(-1)\/(3\/2)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -5. Let m(f) = -4*f + 0 + 1 + 0. Does 2 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 346\/7. Let p = -1587\/2 + 17453\/22. Which is the fourth biggest value? (a) p (b) -0.3 (c) z (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20303130 + -301?\nAnswer: 20302223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*s - 21. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 + 77 = 15*i - 67. Solve 18*g - i = -2*f + 21*g, 0 = -3*f - 2*g + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y + 1. Let f(z) = -z**2 - 2. Let o(n) = 8*n - 25. Let l be o(3). What is l*f(x) - j(x)?\nAnswer: 2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2753*-5.\nAnswer: 13765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.200903 times -0.3?\nAnswer: -0.0602709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*h. Suppose 4*g - 123 = -h*a + a, -2*g = -2*a - 74. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.57 - -123.57. Let i = v - 121.1. Is i greater than or equal to 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -10*i + 0*i**2 + 2\/3*i**4 + 0 + 0*i**3. Let v(o) = 2*o**2. Give v(w(a)).\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1904 and -127\/2142.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 2447092.\nAnswer: 12235460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501.9857 decades to months.\nAnswer: 60238.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -23005706 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2015 - 2015 + t**2 - 19*t**2 + 16*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzoipipzpppii. Give prob of picking 1 i, 1 p, and 1 o.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 4*j**2 - 6*j + 3. Let a(p) = p**3 - 25*p**2 + 28*p - 101. Let o be a(24). Give b(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*q**2 + 3)*(3*q - q**2 - 3*q) + 11*q**3 + 16*q**4 - 2*q**2 - 11*q**3.\nAnswer: 14*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 72 = 6*o. Let h(d) = -4*d**2 + 4*d - 1. Let j(m) = -17*m**2 + 17*m - 4. Give o*h(n) + 2*j(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1072? (a) 2\/5 (b) 3\/5 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0409942 nanoseconds in seconds?\nAnswer: 0.0000000000409942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3789 and 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/8 + 25*a\/8 + 21\/2 = 0.\nAnswer: -21, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 15}. What is prob of picking 3 t?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 - -0.02. Let w = -0.02 + 0.42. Let r = i - w. What is r rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129461*b**5 - 329590*b.\nAnswer: 2589220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10365853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -14. Suppose -1 - o = 5*k. Let b be k*((-38)\/(-14) + -3). What is the closest to 0.1 in b, 2\/15, -3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 3*u**3 - 5*u**2 - 2*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 1)*(-2)\/(-2). Suppose -3*s = -a + g + 10, -5*s - 4*a - 16 = 0. Sort s, -2, -3 in ascending order.\nAnswer: s, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54489, 54177, 53867, 53559, 53253, 52949, 52647?\n\"Answer: b**2 - 315*b + 54803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -14*c**2 + 9*c - 12 - 3*c**2 + 8*c**2 + c**3. Let v be m(8). What is the third biggest value in -1, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2823 - -1?\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 82*s**2 + 41 - 193*s + 38 + 219*s. Calculate the remainder when t(-3) is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/54*(-80)\/96*4\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svos when four letters picked without replacement from ovesssteeosvosvsvose.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327701353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 3911541?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-60))\/((-44)\/66). Let w = 0.7 - 0.2. Which is the closest to -0.1? (a) g (b) 3\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 2506*y**3 + 2*y**2 - y**2 + 2505*y**3 to c + q*y**2 + u*y**3 + m*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 12 = -14*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*m**2*z**3 - 1047*m**2*z - 5*m**2 + 23863*m wrt z?\nAnswer: -288*m**2*z**2 - 1047*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/25)*h)\/(h**4\/h*h))\/(h\/((h**(-5\/13)*h)\/h*h)*h\/(h**(-13)\/h)))**(-3\/4) assuming h is positive.\nAnswer: h**(18003\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/2*36\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*c + 24 - 7 + 43*c - 5 to the form w*c + p and give w.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -12 + 10, 2*i - 3*a - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i, -5*i + 6 = 2*o - 2. What is the smallest common multiple of o and (16\/(-40))\/((-4)\/70)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*24\/224*(48\/18 - 4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389128 is divided by 73.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 48709*u**3 + 48693*u**3 + 26)*(-2*u**2 + 0*u**2 + u**2).\nAnswer: 16*u**5 - 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {v: 1, g: 4, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37360, 149385, 336092, 597481?\n\"Answer: 37341*b**2 + 2*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 95617746*a - 1523792225020086.\nAnswer: -3*(a - 31872582)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -251936*s**4 - 290073 wrt s.\nAnswer: -1007744*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 4*k = -4*w - 84 + 8, -8879*k - 44 = -w - 8883*k for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 12:51 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - 2*(sqrt(30) + sqrt(30)*-3) - sqrt(120)\/(sqrt(24)\/sqrt(6)))\/((sqrt(48) + sqrt(48)*2)\/sqrt(8) + (sqrt(72)\/sqrt(3))\/sqrt(4)) + -4.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {r: 4, p: 3, u: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145033, 145017, 144965, 144859, 144681, 144413, 144037, 143535?\n\"Answer: -3*u**3 + 5*u + 145031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.8916ug to kilograms.\nAnswer: 0.0000005918916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -997 - -1778. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let h(v) = -v + 7. Let b be h(4). Suppose 0 = w*q - 5*g, b*g = 4*g - 2. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 16, z + 3469 = 3*h - 0*z. Suppose -h = -11*r - 121. Let k = 104 - r. Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -9, -21, -33, -45, -57?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-5) + (-1)\/(-5). Suppose -4*q = h + 2. Let k = 0 + 1. Which is the biggest value? (a) k (b) 3\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - -0.3. Let g = -17 - -17.12. Let o = p - g. Put 1\/3, o, -2 in decreasing order.\nAnswer: 1\/3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a + -66?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4129822851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (54\/(-30))\/((-15)\/25). Let q(c) be the second derivative of 0 - 1\/10*c**5 - 1\/3*c**4 + 0*c**b + 2*c + 0*c**2. Factor q(m).\nAnswer: -2*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l + 3*l - 3*l. Solve -2*z + 3*h = l, -5*h = -2*z + 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is 284 (base 9) in base 10?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6916 - 8442 = -587*f + 9296 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let d be p(-3). Suppose -d*i = 2*i - 48. Let v(s) = s**3 + s**2 + 133*s - 414. What is the remainder when v(3) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 38*c**2 + 85*c + 183. What is z(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/((q\/(q*q**43\/q))\/q))\/q)\/q*q*q**(1\/4)\/q)\/(q*q**45*q**(-37)) assuming q is positive.\nAnswer: q**(137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2389122834+11\nAnswer: -2389122823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8 - 2*z + 0*z + z**2 + z. Let g = 9 - 9. Give b(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301147*k + 601721*k - 300574*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 16*y**2 - 7*y - 12. Let f be (42 + -10)*((-6)\/4 + 1). What are the prime factors of o(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i**2)*(24 - 24 - 6*i**2) - 14*i**4 + 6*i**4 + 7*i**4 + 91*i**3.\nAnswer: 11*i**4 + 91*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14466166 by 7233083.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -38*c + 453. Give v(7).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-16))\/3*28. Solve 0 = -3*q + 3*a, -4*q + h*q = -5*a + 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n + 0*n**3 + 0*n**2 - 1\/5*n**4 + 1 - 2\/25*n**5. Factor o(b).\nAnswer: -2*b**3*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83 and 14857?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = -152. Let l = z - 17. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrdl when four letters picked without replacement from rxrrrlxlxyd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beeqeebeeeqbbezjb. What is prob of sequence bjz?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1521 at least -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2\/4 + 369*o\/4 + 373 = 0.\nAnswer: -4, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257014 = -12585*m - 234396 + 25765 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 48. Suppose 0 = -x - 3, 5*n + 2*x = 4*x + 46. What is the units digit of 94\/n + 3\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 657 + 665 - 1406*x - 1322 in the form w*x + b and give w.\nAnswer: -1406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 263 - 261. Let n(g) = -76 + 36 - g**c + 51. Let z(s) = -2*s**2. What is n(z(u))?\nAnswer: -4*u**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4750954 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**3 - 18448*g**2 - 222004*g + 240448 = 0.\nAnswer: -13, 1, 4624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 0\/((-6)\/(-2)). Let x = 6 - c. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - 0) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhqn when four letters picked without replacement from nnqyh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = 5*p. Let v be (p + 8 + -3)*2\/6. Solve -4*i - v = 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -17206536?\nAnswer: 34413072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**3 + 3*z**2 - 5*z**4 + 43*z + 41*z - 1 + 40*z - 126*z in the form u*z + r*z**3 + k*z**4 + q + s*z**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36841765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*o**3 - 10*o**2 - 35*o + 10 = 0. What is o?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 1, 0 in increasing order.\nAnswer: 0, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6161 a factor of 46392330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 276800403 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/27)\/((-6)\/747). Let q = a + -29. Let n = 4.3 + -0.3. Sort 2, q, n.\nAnswer: q, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*-3*((sqrt(448) - (sqrt(448) + 0))**2 + -2 + 3 + -1 + sqrt(448) + sqrt(448) + sqrt(448)) + 1)*-4.\nAnswer: -24 + 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397445?\nAnswer: 5, 29, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/157296 and 19\/616.\nAnswer: 12111792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**9)\/(j**(5\/7)*j))**4 assuming j is positive.\nAnswer: j**(-272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 80 - 128*x + 17 + 121*x. Let a be i(13). Solve 0 = -a*p + p + 3*s, 0 = 5*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 144.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301202130 (base 4) in base 3?\nAnswer: -1212021010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3\/4, 54, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/8 - (-44)\/8. Solve -p*s = -h - 1, -3*h = s - 2*s + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5284 - -5341. Calculate the remainder when 643 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/((-1288)\/602))\/(7\/(-28)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5201084 and 103\/252.\nAnswer: 46809756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113921959 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 58*m - 347067 = 0. List the prime factors of m.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + k - 1, 3*d - k - 2 = -3. Let o be d - 4\/2 - -7. Suppose 4 = -2*n, -b + 2*n = 7*n + 4. Sort 3, b, o.\nAnswer: 3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/8011 + 7506327\/40055. Let x = a - 188. Put x, 2\/15, -7, 0 in descending order.\nAnswer: 2\/15, 0, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16152 take away 75059.5641?\nAnswer: -75059.40258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 265 and 10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 u when three letters picked without replacement from xugmxggggggggggppupg.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, l: 2, j: 2, w: 3}. Give prob of picking 2 e and 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2\/2 - 15311501*y\/4 + 3827875\/2 = 0?\nAnswer: 1\/2, 7655750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*n + 32, -m + 12*n - 13*n = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 4. Let l be x(-8). Let c = 73\/3 - 25. Put 0.5, l, c in descending order.\nAnswer: 0.5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -391*j - 140*j + 34*j - 262*j + 74*j to the form y*j + n and give y.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4076 or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 94. Calculate the remainder when d is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5168, -41327, -139484, -330641, -645800, -1115963, -1772132, -2645309?\nAnswer: -3766496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f. Let l(w) = -10*w**2 - 54*w - 3. What is a(l(s))?\nAnswer: 70*s**2 + 378*s + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23990229 a multiple of 933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -45003 divided by 397.\nAnswer: -45003\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 + c**2 - 9*c - 9. Calculate u(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7391643 centimeters?\nAnswer: 7391643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5235*u**3 + 10*u**2 + 54*u - 25675555.\nAnswer: -15705*u**2 + 20*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 17*p - 91. Give m(17).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -406*r + 27. Let p(c) = -814*c + 53. Let q(w) = -6*p(w) + 11*x(w). Is q(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 24631213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 673688621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5 - (-167 + 140)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425206 and 1155814?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103569013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-253)\/4 + ((-1260)\/756 - ((-100)\/(-48) - 3))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -24*i**2. Let v(b) = -b**2. Let a = 115 - 116. Let d(f) = a*t(f) - 4*v(f). Let l(u) = 2*u. Determine l(d(y)).\nAnswer: 56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 122 + -281?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 12. Suppose 0 = 4*w - j, 0 = o - 0*w + w - 7. Solve -o*x + 6 = -2*g, 4*g - 20 = -x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n**(-2\/15))\/n))\/n)\/n)\/n**(1\/14)*((n**(-4\/7)\/n)\/n)**(1\/16) assuming n is positive.\nAnswer: n**(-923\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 = 49*l - 104*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 3*g**2 + 6*g - 5. Let z(r) = 6*r - r + 80*r**2 - 77*r**2. Let c be z(-5). Let n = c + -55. Calculate x(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - -1 - (-15 - (-23 - -6))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 26040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3+-0.298926\nAnswer: 2.701074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/18*5796\/16744.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5756, -11506, -17298, -23150, -29080, -35106, -41246?\nAnswer: -47518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10940, -10967, -11012, -11075?\n\"Answer: -9*l**2 - 10931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 25*g**2 - 19*g + 31. Let z(s) = -8*s**2 + 6*s - 10. Let b(r) = 2*o(r) + 7*z(r). Let u be b(4). What is the units digit of -1 - (0 + u + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1090 divided by 3762\nAnswer: -545\/1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q - 62 + 62 to the form i + g*q and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**4 + 2*i**3 - 2*i - 4. Let b(t) = -1 - 3*t - 8*t**3 + t**4 - 5 + 10*t**3. Let n(y) = 2*b(y) - 3*d(y). Determine q so that n(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 8*k - 2*k)*(-1 + 1 + 2*k).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(1088)) + 4 + sqrt(1088) + -2.\nAnswer: 5 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/3)\/(40\/(-120)). What is the nearest to 0.1 in -2, -58, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, w: 3}. Give prob of sequence iii.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:26 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70*l**2 - 6*l + 4510 wrt l.\nAnswer: -140*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152619983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 277.73 + -279. Let r = 4.73 - q. Which is the closest to 0.1? (a) 5 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 35.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -133*k - 3730. Determine b(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -51230*r - 153686. What is o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 39419?\nAnswer: -5\/39419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202, -208, -228, -268, -334, -432?\n\"Answer: -q**3 - q**2 + 4*q - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692*d - 570 = -882*d. Solve -b + 4*k - 28 = -5*b, d*b - 4*k = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 17. Suppose -2*c = c + 5*j - 15, c + r*j - 12 = 0. Suppose c*t = 5*t - 935. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15 = 7*d. Suppose 0 = -d*c + c - 42. Is (c\/(-2))\/(2\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**36\/d**(-17) assuming d is positive.\nAnswer: d**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*u - 54 = -178*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/5 (b) -2\/11 (c) -4 (d) 0.11293 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-2\/7)*x))**13*(x*x**(1\/2))**(-2\/23)*(x**(-2\/5))**4\/(x**7\/(x**(-2\/7)*x*x*x)) assuming x is positive.\nAnswer: x**(-22783\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 81215*g - 81216.\nAnswer: (g - 1)*(g + 81216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 + 410 = 23*l. Which is greater: 43 or l?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 46 = -2*w, 2*i + 5*w = 19 - 8. Suppose -4*q = 6*m - m, 0 = -2*m - 2*q. Suppose m*p + 3*p = 108. What is the greatest common divisor of p and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913175599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/2*1 - (18 - 19). Let j(s) = 2*s**2 - 3*s. Let g(v) = 2*v**2 - 3*v. Let q(h) = 6*g(h) - 5*j(h). Let l(b) = 2*b**2 - 2*b. What is x*q(r) - 3*l(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + q - 4. Suppose -u + 29 = -0*u. Suppose 4*f - u = 19. What is the lowest common multiple of f and x(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m - 144. Let j be k(-25). Solve -j = 9*c + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6. Suppose 0 = -3*j + 7*j + 4*l - 32, 4*j - 28 = -3*l. Suppose k = -j*y + 12. Solve 0*s - 2*s - 8 = 0, -y*z = 4*s + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 266 and 7980?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-23)\/(-2) + -9). Let m(g) be the first derivative of g**2 + 17\/2*g**4 + 0*g - s + 2*g**6 - 34\/5*g**5 - 14\/3*g**3. Solve m(x) = 0.\nAnswer: 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 0*r**2 + 0 + 35*r + 0*r**3 - 1\/2*r**4. Let i(f) be the first derivative of -13*f**3\/3 + 11. What is b(i(c))?\nAnswer: -1014*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001619 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/20 - 304*r**4\/3 + 370877*r**3\/6 - 368449*r**2 + r + 2098. Factor o(w).\nAnswer: (w - 607)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -8*r + 220. Let b = -16 + r. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**0)\/l)\/l)**(-17)*l\/((l*l\/l**2)\/l)*l*l**(-3\/2))\/((l*l*l**(-5))\/(l\/(l**(-8)*l))*l**(-3\/7)\/(l**5\/l*l)) assuming l is positive.\nAnswer: l**(489\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssos. What is prob of picking 2 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/87 and 40\/52659?\nAnswer: 1527111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 22395.86477 to the nearest one hundred.\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 249 + 81 = 0. Calculate the remainder when 91 is divided by b\/36 + 429\/9.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-13) - (-28317430)\/949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23436\/19 + 1234. Which is the closest to -2? (a) -0.2 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 4*o + 1. Let c(j) = j - 3. Let x be c(10). Let z = -2 + x. Calculate d(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 - 19*a + 245. Give i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/((-5)\/(-555)*1). Let g(s) = -51*s - o*s**2 + 22*s + 29*s. Let w(k) = k. Calculate w(g(z)).\nAnswer: -37*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - -11. Let z be 7*(-2 - (-100)\/y). Suppose -4*c + 5*j - j = -16, 3*c = -3*j + z. Solve c*a - 3 + 0 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:20 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 + -4?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -345, -3224, 1?\nAnswer: -3224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4619*j + 4586*j - 330 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -58. Let r = j - -25.2. Which is the smallest value? (a) 0.1 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {a: 5, o: 5, w: 8}.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 8840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25\/2 + 23\/4*x + 1\/4*x**2 = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {j: 2, e: 3, x: 8, b: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11517289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 346351550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18268, 18082, 17772, 17338?\nAnswer: 16780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1376.13697 minus 7.5?\nAnswer: -1383.63697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*v + 459*v + 4237*v**2 - 4237*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108303976?\nAnswer: 2, 11, 1230727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, g: 1, s: 2, w: 1, x: 5, b: 1}. What is prob of picking 1 d, 1 g, and 1 s?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, q: 4}. What is prob of sequence ff?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 5*z - 2*z)*(z**3 + z**3 + 0*z**3) - 4*z**4 + 4*z**4 + 2*z**4 + (3*z**3 + 3*z**3 - 4*z**3)*(6*z - 2*z - z).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(143)*1)\/sqrt(11).\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 51*g - 55. Let o(u) = -u**2 + 17*u + 18. Let k(h) = -21*o(h) - 6*v(h). Find r, given that k(r) = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*t + 48. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-9)\/(-10))*(-22)\/44. Let a = y + 37\/99. Is a > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148828 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-78)*-2 + (-92)\/(-598).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w**3 + 2*w**2 - 1. Let t be r(-1). Let i(n) = -11*n - 5. Let m be i(t). Let d = 109 - m. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7067 (base 12) to base 4.\nAnswer: -2332033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*p + 261*p = 107*p - 957 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 422 - 67 = 0. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.318413 litres in millilitres?\nAnswer: 2318.413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1426292 and 490.\nAnswer: 7131460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6 - o - 5*o + 2*o. Let c(b) be the first derivative of b**2\/2 + 2*b + 11. Determine -7*c(s) - 2*h(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -1.5. Which is the second smallest value? (a) o (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 3, t: 4, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 1. Let x be u(1). Let s be (1 + -7)*4\/(-3). Let z = s + x. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -2\/139 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6596 + 13193 + b - 6600)*(b - 5*b + b).\nAnswer: -3*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5219, 5217, 5215?\n\"Answer: -2*c + 5221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 200809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56369291*s*u**3 + 1100311466*s - 6*u**4 wrt u?\nAnswer: 169107873*s*u**2 - 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -2, 10.2, 398, 14?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 24 = 6*q. Suppose -2*v = -7*v + u + 3492, 2*v = q*u + 1406. Let g be v\/10 - 1\/(-5). What is the highest common divisor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-26)*12\/15)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b07a (base 15) to base 9.\nAnswer: 56067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 509, 759, 1001, 1229?\nAnswer: 1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/49 and 15\/31.\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5*10\/25)\/((-28)\/(-13518)). Let j = 961 - g. Is -4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (4 + sqrt(405)*3 + sqrt(405)))*-5)**2 - (sqrt(15)\/(sqrt(3)*1) + (sqrt(5) - (sqrt(5) - (1 + sqrt(720))))).\nAnswer: 5387*sqrt(5) + 91524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(15\/147)*38780\/3878.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 381456 and 5184.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + w = -3 + 17, -2*w = -5*l + 2. Suppose -4*q - 3*u + 38 = 0, -2*u = 2*q + 2*u - 24. Solve -3*o + q = -l*x - 12, 4*x = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**3 + 3*x**2 - x + 7. Calculate c(3).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/12 + f**3\/6 - f**2 + 2*f - 7. Give k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428, 5660, 12694, 22530, 35168, 50608, 68850?\nAnswer: 89894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2089822*q**2*y - 2*q*y - 47355*q + 3 wrt q.\nAnswer: -4179644*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + 125. Let j = a + -291. Sort 6\/203, -1\/5, j in descending order.\nAnswer: 6\/203, j, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mboqlmemboqemlqeeqe. Give prob of picking 1 q and 1 b.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 268268 = 3*g, 50*k - 55*k + 670703 = -2*g. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*q + 4*c, -5*q + 10 = -0*q + 5*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 685920127 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/12365393 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8606 + 44?\nAnswer: -8572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 802.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*v**2 + 121*v**2 + 60*v**2 + (5 + 0 - 3)*(-v**2 - 1 + 1).\nAnswer: 130*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/852341 and -85\/219903978.\nAnswer: 219903978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -19*n - 3. Let w be k(-3). What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2464901*t**4 + t**2 - 33080469*t wrt t.\nAnswer: 29578812*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 - i**5 + 4*i**5 + (0*i**5 + 2*i**5 + 0*i**5)*(-2 + 3 + 2) + 0*i**5 - 4*i**5 + 5*i**5 + 2*i**5 - i**5 - 2*i**5 + 0*i**2 + 0*i**2 + i**5.\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12) + 3\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/5)*l\/(l*l\/(l*l**(1\/6)*l)*l))**2 assuming l is positive.\nAnswer: l**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -166?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.256 + 61.806. Let o = 60 - a. Let q = 0.44884 - o. Round q to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/30 - 7*i**4\/12 + 7*i**3\/6 - 3*i**2. Is y(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(130) - sqrt(130)*-1*-2)*3)\/((sqrt(3840)*-2)\/(sqrt(600) + (sqrt(600) - sqrt(600)*2) + sqrt(600))))**2.\nAnswer: 73125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651734, -1303449, -1955164, -2606879, -3258594?\nAnswer: -3910309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/r**(-2\/15))\/r)\/(r**(-3\/8)*r))\/(r\/r**(3\/8)*r**(2\/5)\/r))\/((r**(2\/7))**(-29)\/(r\/(r\/r**(2\/3))*r\/((r\/r**(-1))\/r*r))) assuming r is positive.\nAnswer: r**(1181\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -648\/5*r**2 - 5 - 3*r - 24\/5*r**3 - 1\/15*r**4. Determine v so that w(v) = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -85. Let h = o - -17.3. What is the closest to 1 in h, 5, 2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*h = 18*h + 3558998. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127004841 to the power of 1\/2, to the nearest integer?\nAnswer: 11270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 - 1\/20*h**5 + 0*h**2 + 3*h + 1\/4*h**4 + 0*h**3. What is the third derivative of k(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2 - 0. Suppose -19 = -x*i - h, 2*h = -4*i - 2*h + 44. Let a be ((-20)\/65)\/(75\/(-1950)). Solve 0 = -4*l - 2*j + a, -2*l = -5*j - i - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 441071?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 377171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 - 0.02. What is the nearest to r in 1\/2, -2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y - 2*l - 17960, 2*y = 4*l + 7168. What is the second derivative of 3*v - 3615 - 62*v**2 + y + 3*v**2 wrt v?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.19985 seconds to nanoseconds.\nAnswer: 26199850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110101 (base 2) in base 9?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -21*i - 90, 26 - 17 = 45*r - 3*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 44*d + 484.\nAnswer: (d - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4 and -274.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 - 11*l**2 - 11*l + 22. Let u be f(-12). Suppose -6*h + u = -194. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7230 + -7028. Solve -10*a - x = -282 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 110120?\nAnswer: 102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9396014 to the nearest integer?\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072*c - 1061*c - 1063*c + 4247*c - 1067*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4 + 2*x + 3 - x + 3*x**3 + 4*x**2. Suppose 7*g - 9*g + 1 = w, 8 = 2*w - 2*g. What is the remainder when j(w) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 217\/(-56) + (-2)\/16. Suppose 4*i - 5*z = -13, -4 = 4*i - 3*z + 7. Which is greater: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Suppose d + 4 = -2*m, 4*d + 4*m + 4 + 0 = 0. Let y(s) = 2*s - 6*s + d*s. Calculate y(t(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545427099 to the power of 1\/3, to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*i)*(1 - 7 - 4)*(0*i**2 + i**2 + i**2).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 101 - 2*g + 3*g + 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-4)*(-7320)\/1281?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 - 645?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272645525.\nAnswer: 5, 263, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78052943 a multiple of 1049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2157834 take away -0.01?\nAnswer: -2157833.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2297312ml?\nAnswer: 0.0002297312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 2. Let q = -11 - -5. Let n be b(q). Let -n + 8 - 3*i**2 = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977742333.\nAnswer: 3, 4023631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/((t*t*t\/(t\/(t*t*t**(-3)\/t)))\/t))\/t*t)**(-5\/19))**(-12\/13)\/((t\/t**(-4\/7)*t*t*t*t\/t**9)\/(t**(-1\/6)*t**8)) assuming t is positive.\nAnswer: t**(126911\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14045378353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 35 = -171. Let i = -26 + h. Let y be (-9)\/21 + 354\/i. Calculate the greatest common divisor of 88 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.185858265 to five dps.\nAnswer: -0.18586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101286.31 rounded to the nearest 100?\nAnswer: 101300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122.06 - -121. Let j = h + -0.08. What is j rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -588.8 + 592.8. Which is the second biggest value? (a) 3\/2 (b) s (c) -1\/11 (d) -116 (e) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 7) to base 15.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - q**2 + q + 3. Let d be u(0). Suppose 0 = -d*g + l + 7, 2*g + 4*l + 15 = 1. Solve -n - g = -5*j, 2*n + 1 + 1 = -5*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 5, -4*v = -2*k - 18. Suppose w = -v + 4, 3*j + w = 647. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240424918 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 3. Let x be o(-6). Is (x - 6)\/(-3)*293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 81019*s**3 + 405074*s**2 + 324056*s.\nAnswer: s*(s + 1)*(s + 4)*(s + 81014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 8:09 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*r**3 + 586079*r**2\/4 - 145053810*r - 980100.\nAnswer: -(r - 1980)**2*(148*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*y = -16, -2 = 5*z - 3*y - 21. Suppose z*k = 5*k + 1242. Calculate the remainder when 67 is divided by k\/36*-2*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(8\/10)*((-22374)\/(-228712))\/((-30)\/32)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 16 - 18 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Suppose -q + 2*q = -c + 3, -3*c + 44 = -w*q. Suppose -3*i - 35 = -c*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 33, 3\/5, 0.01, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/4 - 3*r - 7. Let j be q(-2). Solve -5*z + 10 = -4*s, 4*z - 16 = j*s + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -7061?\nAnswer: 7057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 18*b + 72. Let i(w) = -20*w - 88. Let s be i(-5). Determine x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -102 + -193?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3419 - -6692. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129, 246, 439, 708, 1053?\n\"Answer: 38*m**2 + 3*m + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*n = 49, 4*n = -5*v - n + 95. Let o = v + 7. Suppose 0*c + o = 6*c. Solve x - 8 = c*j, -x = 4*x - 2*j + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -395 (base 14) to base 3\nAnswer: -222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133)\/(sqrt(14)\/sqrt(2)) + 4) - (1*sqrt(209)*4)\/(sqrt(44)\/sqrt(4)*-2 + sqrt(11)))**2.\nAnswer: 168*sqrt(19) + 1075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2 - 8*h**3 + h - 1 + 3 + 7*h**3 - h**2. Let y(v) = 2*v**3 + v**2 - 7*v + 2. Suppose 0 = -z + 5*b + 1, -8*b = -7*b. Determine z*a(r) + y(r).\nAnswer: r**3 - 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/208)\/((-2)\/64).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 + 2. Let y be -1 + -1 - (-60)\/6. Suppose 4*h = h - 2*z - y, h + 5*z = -20. Let v be k(h). Solve -7*t - 5 = -v*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 338 + -337.6. Put -2\/33, z, 13 in decreasing order.\nAnswer: 13, z, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(400))\/(sqrt(648)*-2)*-3)**2 + 1.\nAnswer: -5*sqrt(2)\/3 + 61\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 - 3*c**4 - c**4)*(2*c + c - c) + (-2*c**2 + 3*c**2 - 2*c**4 - 5*c**2)*(-189*c - 1738 + 1738).\nAnswer: 376*c**5 + 756*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*i - 80 = -129*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5104 and -43\/56144?\nAnswer: 56144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-3 - -2) - (0 - (-3 + 6))) + 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(121)*-1)\/(-3*sqrt(44)) + (sqrt(891) + (0 + sqrt(891) + -3)**2)*4.\nAnswer: -359*sqrt(11)\/2 + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-40)\/u)\/u**17*(u**(-2)*u)\/u*u*u**(9\/8)*u assuming u is positive.\nAnswer: u**(-455\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -63*m**3 - m**2 + 129*m + 129. What is v(-1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/214718643 and 109\/12.\nAnswer: 858874572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 2*l - 5. Let d be a(-4). Let h(y) = -y**2 + 0*y**3 - 9*y**2 + y**d - 6*y + 6*y**2 + 5. Let n be -1 + (-1)\/(1\/(-6)). Give h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -67, -194, -435, -826, -1403, -2202, -3259?\n\"Answer: -6*g**3 - 3*g**2 + 2*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005502 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68388 and 762276.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6059)\/(-657) + 96\/(-432).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3968*h - 3972*h + 16, 3*b = 2*h - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-14) - (11 + 387\/(-63)). Which is the second smallest value? (a) z (b) -6.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3 + 3090*x. Let t(b) = 278*b**2. Determine c(t(q)).\nAnswer: 1668*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -4.9. Let x = 4.8 + s. Let o = 2 + -1.5. Which is the second smallest value? (a) -0.3 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from llii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 143314550 (base 7) in base 16?\nAnswer: 90721a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9 - 32 - 24*m + 9 + 2 + 2. Let n be r(-1). Solve -4*b + 4*x + 2 + n = 0, 0 = -2*b - 2*x - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*a + 1, -3*c - 21 = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, n: 11}. What is prob of picking 4 n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12894 + 18381. Is 93 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/27*12375\/22000?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmtqqxtxqx. Give prob of sequence mm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 501*a**2 - 4*a + 5. Let g(v) = 999*v**2 - 9*v + 11. What is 3*g(j) - 7*i(j)?\nAnswer: -510*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*z + j - 8, 0 = 4*z - 3*j + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 4 (c) 0.1 (d) -1042438 (e) 3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -292469, -292468, -292467, -292466, -292465?\n\"Answer: k - 292470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgjrrojkjgggrj. Give prob of picking 3 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 h, and 1 o when four letters picked without replacement from yhohyhywhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54*n**2 - 63 + 63)*(n**2 - 2*n**2 + 2*n**2)*(0 + 26 - 2)*(-5 + 3 + 1) as j*n**3 + p + d*n**4 + i*n**2 + k*n and give d.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 + 879856*p\/9 + 96768322592\/9 = 0. What is p?\nAnswer: -219964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1122, 3, -5, -3, 4, 21.\nAnswer: -1122, -5, -3, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001123 to seven decimal places.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/15 + (-56)\/(-12). Let n be -6 + (5 - 1) + j + 0. Solve -4*y = 2*m - 2, -21 = 5*m - n*y - 0*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 66245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 144022*j + 2 - 145078*j - 2 in the form u + i*j and give i.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*m + 3*j - 24, -38 = -5*m - 3*j. Let q be -2 + 1 - (-30)\/m. Suppose q*l = -l - 15000000. What is l rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 4*x + 1. Let c be o(2). Calculate the common denominator of -81\/4 and ((-24)\/2820)\/(-2*c\/120).\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 + 39*h**4 - 57*h**3 - 663*h**2 + 1356*h - 672 = 0 for h.\nAnswer: -4, 1, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 36*h**2 - 38*h. Let d be x(19). Suppose d = 3*s + 3, 2*u + 5*s - 1 = 2. Solve -3*w = g + 6, 2*w = 6*w + u*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -7 + 1\/2*l**2 - 2*l. What is s(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1063792967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 451430 - 2533?\nAnswer: 444453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teet when four letters picked without replacement from etteeee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22950 - -22932. Which is the biggest value? (a) z (b) 1\/3 (c) -3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97a + 171?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)\/(2\/(-2)). Let n = -2390\/33 + -68\/3. Let o = -95 - n. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/25 and -107\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 50. Let x be h(7). Let f(o) = -9*o**3. Give f(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13155004*b**2*y**3 - 13277*b*y**3 - 161*b*y wrt b?\nAnswer: 26310008*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 527.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -803688, -803681, -803670, -803655, -803636, -803613, -803586?\nAnswer: -803555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(152)*4)\/(-2*sqrt(200)) - (-4*-6*-4*sqrt(95)\/sqrt(5))**2).\nAnswer: -175108 - 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 18*h**2 - 5*h - 145. Let i be n(3). Let o be (-3)\/4 - (-5)\/(-20). Let w = o + 5. What is the highest common divisor of w and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3211 - 44134014?\nAnswer: -44141225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3816, -4501, -5186?\n\"Answer: -685*i - 3131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13894101 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 3024 = -40*v. Is v less than -376\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**18*x*x**2*((x\/(((x*x**(1\/4))\/x)\/x))\/x*x)\/x**5 assuming x is positive.\nAnswer: x**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673 + 445 = 38*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16711 and 19601?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-4) + 2\/1. Solve h = -n*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 26 = -4*h. Let f be -3 - -2 - 3*h\/(-12). Let o be (-1)\/2 + 4\/6. Is o greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 4, m: 1}. Give prob of sequence iimi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -1\/3*m**4 - 44*m**2 + 1\/6*m**6 + 0*m**5 + 0*m + 0*m**3 + 0. What is the second derivative of x(q) wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a millisecond in microseconds?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9063 + 5?\nAnswer: 9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -67\/40*v**6 + 1\/6*v**3 + 0 + v**2 - 1\/60*v**5 + 0*v + 1\/24*v**4. Let g be l(-1). Round g to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -u - 5*l + l, -20 = 5*l. Let s be (-2)\/((2\/u)\/1). Let m = 1.5 + -0.5. What is the smallest value in m, 4, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 931.4 - -3129\nAnswer: 4060.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701577790.\nAnswer: 2, 5, 419, 167441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - ((-1 - -2) + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -335, -386, -437?\n\"Answer: -51*v - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/2)*q**3)\/(q**(-2\/25)*q*q*q*q**4) assuming q is positive.\nAnswer: q**(-121\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 129*m**2. Let h(y) be the first derivative of -27*y**2\/2 - 3620. Calculate p(h(z)).\nAnswer: 94041*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 273 times 0.4\nAnswer: 109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-6)\/(-4)))\/((544\/12)\/(-8))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, v: 3, x: 4, r: 2, u: 1, z: 2}. What is prob of sequence urrv?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/3528 and 157\/1176.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -721 (b) -0.5 (c) 538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 - 1. Let g(z) = 2*z**3 - 15*z**2 - 2*z + 51. Give -g(s) + 6*v(s).\nAnswer: -2*s**3 - 3*s**2 + 2*s - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + b**2 + 346. Let p be t(0). Let d = p + -184. Calculate the highest common divisor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g + g**3 - 29*g - 29*g - 2*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 64 + 13*d + 31.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -2. Let s be 1\/2 + 9\/m. Let a = 0 + s. Which is smaller: -2\/9 or a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588924 and 1785468.\nAnswer: 9348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -0*j. Suppose -t + 90 = j*t. What is the remainder when 53 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 557 + -265. Calculate the remainder when l is divided by 158.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - h**2 + 2. Let l(c) = -31*c**3 + 5*c**2 + 5. Calculate l(r) + 5*s(r).\nAnswer: -26*r**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 5)*(-2*q**2 + q**2 - q**2 + (2*q - 3 + 3)*(0*q - q + 3*q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123518658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9132160?\nAnswer: 2, 5, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.104863552 to 5 dps.\nAnswer: -0.10486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - (7 + -12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**12\/g**3*(g*g**(2\/3)*g*g*g)**(4\/3) assuming g is positive.\nAnswer: g**(137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 18 + 31 - 18*j**2 - 49.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5056351 - 246?\nAnswer: -5056630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60397\/47 - -1285. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2356)\/(-57))\/62*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + y**3 + 170*y**2 + 0*y**2)*(-1 + 1 + 3*y**2).\nAnswer: 3*y**5 + 510*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {x: 1, b: 4, s: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1994835, 1994828, 1994801, 1994742, 1994639, 1994480, 1994253, 1993946?\n\"Answer: -2*d**3 + 2*d**2 + d + 1994834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(39) - (sqrt(78)\/sqrt(2) - sqrt(39)))\/sqrt(3)*-3 - (-5 + 4 + (sqrt(208) + 0 + sqrt(208))**2 + sqrt(208)).\nAnswer: -831 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 407 = -6*k - 3*y, -2*y - 2 = 0. Let m = -47 + k. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 178527.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 17*r**2 - 20. Let k(j) be the second derivative of -j**4\/2 + 7*j**2\/2 - 74*j - 5. Let u be 9 + (-2)\/(-1 - 0). Give u*k(l) + 4*h(l).\nAnswer: 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10075569 divided by 479789?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 2*q**7\/315 - q**6\/90 + 10*q**2. Factor g(i).\nAnswer: 4*i**3*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6046 + 43.72?\nAnswer: -6002.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.99 + 0.19. Let a = -9.51 - d. What is a rounded to one decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23848 divided by 22\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4616 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2305599?\nAnswer: 3, 269, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 2*r - 1. Let c = -30 - -30. Let f(p) = p**3 + p**2 + p + 3. Let l be f(c). Suppose -5*g + 3*z - 5 = 0, 0 = 2*g + l*g - 4*z + 5. Give b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 - j**2 + 2. Let s be q(-2). Suppose s*z = 25*z. Suppose z = -6*m - 123 + 381. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -36*i**4 + 4*i**3 + 4*i + 9. Let h(n) = -72*n**4 + 9*n**3 + 9*n + 17. Let r(l) = 9*c(l) - 4*h(l). Differentiate r(t) wrt t.\nAnswer: -144*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 0*f**2 + 8*f**2 - 3*f**3 - 7*f**2 + 4*f**3 - 2*f = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30086342, -30086341, -30086340, -30086339, -30086338, -30086337?\nAnswer: -30086336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 999372108 to the power of 1\/2, to the nearest integer?\nAnswer: 31613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4 + 475*c**3 + 2063*c**2 wrt c.\nAnswer: -48*c + 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3302 and 4826.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1200, 2396, 3590, 4782, 5972, 7160?\n\"Answer: -b**2 + 1199*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30599.05 + -4?\nAnswer: -30603.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 378*s**2 + 754*s - 1130\/3.\nAnswer: 2*(s - 565)*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000322 = -27682*r - 39160 + 503512 + 1192798 for r.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/3*16*(-15)\/1920?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 17601075*l.\nAnswer: -3*l*(l - 5867025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/3, 261.3, 2, 1\/2, -100?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-90))\/(30\/(-75)). Let n = -0.02 - 4.98. What is the second smallest value in j, n, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 747169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 7*s - 6. Let k be (8\/6)\/(2\/(-6)). Let x be f(k). Let t be (-4024)\/6 - (-4)\/x. What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -2.4. Let f = -10.2 - -8. Let p = u + f. Which is the smallest value? (a) p (b) 4\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2409\nAnswer: -5\/2409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27825504?\nAnswer: 2, 3, 7, 47, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13497964 is divided by 1441?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 147 - 8*v + 41 + 55.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = 0, 0 = q + 4*x - 14 - 0. Let z be (-2)\/(16\/(-12))*q. Solve z*c - 4 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 6, g: 4, m: 1, b: 3}. Give prob of picking 3 g.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2*(-1437)\/(-3). Suppose -6*d + 0*d = n. Calculate the common denominator of 105\/22 and ((-292)\/d)\/((-2)\/(-5)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33204044 + -10?\nAnswer: -33204104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.7. Suppose 56*q - 564 = -172. What is the third biggest value in 2, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s**3 - 143*s**2 + 25*s + 132. Calculate f(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56254 by -6.\nAnswer: 28127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16*h**3 - 176*h**2 + 20*h - 13. Calculate s(-11).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18702 and 150.\nAnswer: 467550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 + b - 2. Let m = 11 + -8. Let z be c(m). Let u(q) = 11*q**2 - 1. Let p be u(1). What is the highest common divisor of p and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/2 + 16550*g - 27390250.\nAnswer: -5*(g - 3310)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1861721.542 + -74?\nAnswer: -1861795.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 967*a**3 + 1224*a**3 - 3*a**2 - 2213*a**3 + 3*a**2.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 5, -2\/3, 12, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24390693 to the nearest integer?\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770503 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1703976455.\nAnswer: 5, 340795291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10414, -13054, -17432, -23530, -31330, -40814?\n\"Answer: 3*s**3 - 887*s**2 - 9530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 17*d - 100. Calculate i(-18).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 1, c: 1}. Give prob of sequence cvf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53265 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 19 - 925 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpppppkkkpkppkppkkkp. Give prob of sequence kkp.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10111000100000101010000 (base 2) to base 12\nAnswer: 2036a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66705 - -1053?\nAnswer: 67760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 969680909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r)**19*(r\/((r*r\/r**(-2))\/r)*r)**21 assuming r is positive.\nAnswer: r**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2083033 divided by 6\nAnswer: -2083033\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(-13)*f*f)))\/(f\/(f\/(f*f**(1\/12)\/f))))**18*(f**(-1)\/f*f*f*f)**(-5\/3)\/(f**(-7)\/(f**(2\/3)\/f)) assuming f is positive.\nAnswer: f**(-353\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z + 26. Let b(v) = -v - 7. Let c be b(0). Let w be q(c). Let a = -92 + w. Solve -a*r = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -33, 3\/37, -0.4, -0.13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -117\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(-49)*k**(3\/4)\/k**(-7) assuming k is positive.\nAnswer: k**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, -60, -274, -586, -1002, -1528, -2170?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhr when three letters picked without replacement from ehhhrhrev?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3 + 15883*x**2 + 63091240*x + 189130800 = 0?\nAnswer: -7940, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96069448 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (5 + (sqrt(2736) + -1 - sqrt(2736)))*-3)*-1 + 3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303239\/18 + -16839. Let l = -2\/51521 + 4791481\/721294. Find the common denominator of h and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (168\/18)\/(2\/9). Let t = r + -35. Let v(a) = -7*a**2 - 3 - a**2 - 4*a + t*a**2 + 0. What is v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {v: 3, j: 2, o: 2, b: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/10)\/u*u)**(-1\/39))**5 assuming u is positive.\nAnswer: u**(1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - 26*r**2 - 26*r - 317. Calculate y(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 5417 = 42921. Suppose 5*x - x = w. Suppose r - 349 = -2*r - 2*b, b + x = 5*r. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*p**2 + 24*p - 24*p - 1)*(-3*p**2 + 8*p**2 + 6*p**2).\nAnswer: -220*p**4 - 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39834939, 39834938, 39834937, 39834936?\nAnswer: 39834935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1033*2.\nAnswer: -2066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -28, 3, -2, 2\/25 in descending order.\nAnswer: 12, 3, 2, 2\/25, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r**(2\/9))\/(r**(1\/2)\/r**(4\/7))*r**5\/(r*r*r**(-6))*(r**(2\/5))**(-25\/6) assuming r is positive.\nAnswer: r**(1843\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5\/3 + 234*p**4 + 860*p**3 + 1736*p**2\/3 - 384*p = 0.\nAnswer: -2, 0, 2\/5, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 112 (c) 251 (d) 9 (e) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*5 - (sqrt(4) + sqrt(4)*-2)\/sqrt(2))*-2.\nAnswer: -62*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5 + 1. Suppose -y + d*y - 84 = 0. Let j = 23 - 9. What is the highest common divisor of y and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 0. Let z = 4 - n. Let c = 8 + z. What is the smallest value in -6, c, 5\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*z - 63 + 79 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13584376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/42 or -0.03?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20232*m**4 + 2*m**3 + 65139*m**2 - m + 6?\nAnswer: -485568*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -c - 0 + 7, 4*c - 3*l - 17 = 0. Suppose 0*t = c*t - 105. What is the lowest common multiple of (0 + 1)\/(-57 - (-6682)\/117) and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 1. Let f be o(3). Suppose -3*n - 3*x + 0*x + 12 = 0, 3*n = -f*x + 7. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10124\/11 - -920. Is -1 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 1364*i**7\/7 - 13*i**3\/3 + i**2 - 851. Find the third derivative of q(j) wrt j.\nAnswer: 163680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a - 2. Let y be 12\/((-15)\/5) - -7. Let r be z(y). What is the second derivative of -19*b**3 - 67*b + 5*b**3 + r*b wrt b?\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 + 0*j**2 - 4*j**2)*(2*j - 74*j**2 - 7116 + 7116).\nAnswer: -148*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhfh. Give prob of sequence fh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o**2 - 4*o**2 + 30*o**2 + 2 + (o - 4*o + 4*o)*(2 - 2 + 2*o).\nAnswer: 40*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 less than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 2011*k**4\/12 - 10003*k. Let d(j) = 6*j**2. Determine v(d(y)).\nAnswer: 72396*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/63583 and -131\/28470?\nAnswer: 1907490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10870, 56, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**2 + 2. Let c(w) = 30247*w - 67 + 67 - 30244*w. What is m(c(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(65)\/sqrt(5) + sqrt(52)\/sqrt(4)*-5 + (sqrt(637) - (sqrt(637)*-1*-6 + sqrt(637))).\nAnswer: -46*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 + 13. Let t(z) = 2*z + 3. Let u be t(-8). Let l(d) = 2*d**2 - 6. Let p(j) = u*l(j) - 6*c(j). Let i(a) = 1 + 0 + 2*a - 1. What is i(p(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -363\nAnswer: 2\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-11)*(-3 + 0). Suppose -4*a + v = -61. What is the remainder when 29 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 f when three letters picked without replacement from {o: 2, t: 3, k: 3, h: 7, f: 1, s: 1}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 7. Let y(w) = -9 - 7*w + w**2 - c*w**2 + 3*w - 12*w. Let u be y(-11). Round u to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -156704*i + 8148602. Give s(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-69)\/414*(-6)\/(-4). Which is the closest to -1.3? (a) 2\/29 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6010 + -3034. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(14)\/sqrt(2) + -2) - (sqrt(42)\/(sqrt(96)*1))**2 - (1 + (-1 + (sqrt(1008) - (1*sqrt(1008) + sqrt(1008)))**2 + sqrt(1008))*-1).\nAnswer: 15*sqrt(7) + 15993\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:04 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from uoauahu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:52 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/3 - 2552*u**3\/9 + 60208*u**2\/3 - 1411480*u\/3 - 1431644\/9.\nAnswer: 4*(u - 71)**3*(3*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:30 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**3 + 78852*w - 78852*w.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*z**3 + 5 + 2*z**4 + 18*z + 0*z + 31*z**3 + 30*z**3 - 2*z**2 as p*z**4 + a + t*z + g*z**2 + i*z**3 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 8606*t - 8611*t = -35, 3*x - 5*t = -31 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u**3 - 24*u**2 - 2. Let s(k) = -17*k**3 - 24*k**2 - 3. Let m(o) = 2*s(o) - 3*x(o). What is the third derivative of m(w) wrt w?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 - -172. Find the third derivative of 0*n**5 + u*n**2 - n**5 - 48*n**5 wrt n.\nAnswer: -2940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.18*0.07.\nAnswer: 0.3626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 12034*k - 12004*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h**2 - 1399*h + 1398*h + h**2. Suppose 2*l = 4*l - 4*i - 10, 3*l - 5*i - 10 = 0. Let b(d) = 2*d**2 - 2*d - 1. Calculate l*y(j) + 2*b(j).\nAnswer: -j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + 36\/(-10). Let p be 26\/((-2)\/(g + 3)). Let k = 0 + p. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6713.891 rounded to the nearest one hundred?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1200444 + -1200439. Factor 1\/5*k + 6\/5*k**3 + 4\/5*k**2 + 4\/5*k**4 + 0 + 1\/5*k**i.\nAnswer: k*(k + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48096, -20, 2 in increasing order.\nAnswer: -20, 2, 48096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14*k - 27 = 0. Suppose 2*j + 3*z = -k*j + 3060, -1840 = -3*j - z. Let p = j + -408. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/22684 + 57933\/76513132. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 13*k + 3. Let d be g(-13). Suppose 24*s = 21*s + 18. Let c = -11 + 24. Solve 5*u + 2*h - c = 0, -d*h = -3*u - s*h + 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 1, k: 9, v: 1}. Give prob of picking 1 v, 2 b, and 1 a.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 + w**4 + 4*w**3 + (2*w**3 + 2 - 2)*(-4*w + 3*w + 0*w) as o + k*w**2 + n*w**3 + u*w**4 + h*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -32.3. Let j = -0.06 + 0.03. Let f be (-8)\/(-6)*(-3)\/12. What is the third smallest value in j, l, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -2*p - 7, 0 = -2*h + 3*p + 6. Solve -f = -3*w - h, -w - 1 = 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - j + 33 = 0, 5*d = -15*j + 13*j - 96. Put d, -1, 4 in descending order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*y = 10. Let c = -0.145 - -3.145. Sort -1\/2, c, y in decreasing order.\nAnswer: y, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (38 - 37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12374*y**2 + 14025.\nAnswer: 24748*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 66*q**2 + 52*q + 417. What is the thousands digit of z(61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2936630811 - 3891.\nAnswer: -2936634702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464880 and 14603043?\nAnswer: 5811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130227078*q**2 - 220159*q + 101 wrt q?\nAnswer: -260454156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/4 and -6\/2390261.\nAnswer: 9561044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from ebbffe.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 9*x**2 + 3*x + 42. Let s be i(8). Suppose 2*c + j - 11 = 0, 2 = -2*c + 2*j - s. Solve -139 = c*n - 142 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1143666 - -9192495\/8. Let s = -5406 + h. Let l = -3771 + 22517\/6. Calculate the common denominator of l and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2181.\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - (-7)\/3. Let d(l) = 1. Let n(a) = a + 3. Let u be n(-2). Let v(k) = -k**2 + 6*k - 2. Let j(b) = u*d(b) + v(b). What is j(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - -20. Suppose 0*v + m = 4*v. Let o be (-2 - -16) + (-36)\/4. Solve 11 = o*w - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 50*s**3 - s + 1. Let v be a(1). Let o = v - 19. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((10\/25)\/(21\/(-5)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 0.5442, -5 in decreasing order.\nAnswer: 3, 0.5442, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1301, -2607, -3913, -5219, -6525?\nAnswer: -7831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*n = 12, -5*j - 38*n = -36*n - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.131236538 and -0.5.\nAnswer: -0.065618269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 339 - 10*u**2 + u + u.\nAnswer: -10*u**2 + 2*u + 502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d - 373 + 27*d + 14*d + 133. Calculate the remainder when 41 is divided by c(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9542*(-14786)\/(-32) - 12\/(-32). What is u rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.650417mm in micrometers?\nAnswer: 650.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x + 4 = 0, 4*b - 140*x - 138*x - 12 = -282*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -558*q - 5580. Give y(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1134871 and 0.016.\nAnswer: -1134870.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*b + 96, -39*o = -42*o - 4*b - 97. Let d be 2\/21 + o\/((-3906)\/492). What is g in -4 - 4*g + 0*g**2 + g**3 + 1\/4*g**d = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 + -8.4. Let r = l + 5. Let a = -57 + 117\/2. Put a, r, -0.5 in increasing order.\nAnswer: r, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217034 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -0. Suppose -u*a - 2*a = -12. Solve 4*x = 2*w + 22, 2*x - a*w = x + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-147))\/(24\/(-162))*8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84266 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {p: 1, c: 1, j: 1, a: 1, z: 1, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 - 4*o - 4. What is w(-6)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533*x = 1523*x - 70 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -370 + 741 + 21*o - 369 + 2*o**3 - 2*o**2 as q*o**3 + z*o**2 + n*o + t and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/45 + 218\/9. Calculate the highest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1483 - -6131\/4. Let p = u + -50. Which is the closest to -1? (a) -0.03 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - 11. Let b = 11 - x. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8888000 rounded to the nearest 100000?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2991*p**2 - 1166*p**2 + 4164*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -29*g - 199. Let r be w(-7). Let h = 32 + -8. Is 307\/r - (-6)\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -3*d + 305. Suppose 4*b - d = -5*i, 0 = i + 2*i + 3*b - 102. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1142 - -4?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, d: 1}. Give prob of sequence dr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 88*g + 1. Let c(n) = n**3 + 4*n**2 - 2*n + 7. Let m be c(-5). Let v be (-2)\/m + (-27)\/(-36). Is a(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 174. Let s = m + 73. Suppose -s + 6 = l. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 46*s**2 + 62*s - 20.\nAnswer: 2*(s - 10)*(s - 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + -149. Suppose 3*c - 76 = -226. Let u = c - i. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5534*0.43.\nAnswer: 2379.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 69340 + -166917048\nAnswer: -166847708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.97 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from oxllxzzozczltcl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.4 (b) 0 (c) -0.18 (d) 6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - 0.07. Let d = b - -0.42. What is the biggest value in 3\/4, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 56*n - 2 + 0 - 1 - 54*n. Let m(f) = f - 1. Give -3*m(s) + t(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005748459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**7\/126 - c**6\/90 - 5*c. Factor f(n).\nAnswer: n**4*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1. Let g(q) = 2*q - 1. Determine g(u) + 6*j(u).\nAnswer: 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*q - 2*q - 4*q + (2*q - 6*q + 2*q)*(3 - 2 - 3).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8 - 20 + 14 - 2*w. Let i be -1 - (2*-2)\/(-1). Let r be b(i). What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18499 - 12427. What are the prime factors of i?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1388501*c - 2175324 wrt c.\nAnswer: -1388501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8489102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c + 4 + 0*c - 58 + 54.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1229 = 4*r, 0*r + 616 = 2*r + 4*d. Is r a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 210615*d**2 - 4*d - 209440*d**2 + 0 + 5*d to the form u*d + s*d**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-51)\/12)\/(12\/(-32)). Let h be 84*(2\/(-4) - -1). What is the greatest common divisor of n and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.85 and -438100?\nAnswer: -5629585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635742 (base 9) to base 2.\nAnswer: 1011100010101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389981659?\nAnswer: 463, 842293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) - 20\/(-9). Let s(g) = 13*g - 2. Let a be s(w). Let l = a - 14. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 771375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7736 and 38680.\nAnswer: 38680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 360975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*z + 2*i, 5*i = 4*z - z - 11. Let l(h) be the second derivative of -h**5\/20 - h**4\/4 + h**3\/6 - h**2 + 10*h. What is l(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001001 (base 2) to base 10.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - n = -4*j - 14, n = -3*j + 11. Let t be (j\/(-6))\/(5\/(-20)). Solve -t*o - 7 + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5395 - -6003. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - 45*j - 135. Let u be f(14). Calculate the highest common factor of u and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 + -282.82. Let x = w + -5.18. Which is the nearest to 15\/4? (a) 5 (b) x (c) -3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153194.\nAnswer: 2, 19, 56663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 12 = -2*s, 4*s - 106 + 102 = -4*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000863463 to five decimal places.\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*10*12\/70?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - q**2 - 12*q - 2. Does 7 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17 - 5 = 4*d, -2*o = -d - 13. Suppose o*p - 7*p + 120 = 0. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054581?\nAnswer: 3, 11, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 421 + -409. Find the common denominator of -11\/45 and (21*h\/45)\/2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453\/(-77916)*(-16)\/(-15)*(-15)\/6?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 36 = 5*b, 48 = -b + 226409*q - 226405*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72, -53, -32, -9, 16, 43, 72?\n\"Answer: f**2 + 16*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660*x**3 + 341*x**3 + 360*x**3.\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0\/(-4) - -6. Let d(o) = 3*o - o**2 - 2 + 0*o**2 + j*o. Let g be d(10). Which is the smallest value? (a) 1 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 77*j - 199. Is a(5) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/607412 and 145\/280344.\nAnswer: 3644472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 - 1 - 2*-2. Let u = y - -2. Let n = u - -4. Calculate the least common multiple of n and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(3 - 9 + 0)*(4 - 4 + w) to the form f + g*w and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2681 + 5122. List the prime factors of h.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364727 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 8*w + 70. Suppose m = 0, -3*y + 4*m = -7*y + 52. Let p be j(y). Solve 4*n + 25 - p = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1833773)\/36584 - 2\/(-16).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x - 5. Let i be y(2). Let z = 36 + i. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3364560 divided by 6\nAnswer: -560760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) -5 (c) -3 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.6 (c) -1 (d) -139\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 7. Let l be y(-14). Suppose 33 + l = 4*p. What is the highest common factor of 34 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14596 from -0.0551559955.\nAnswer: -14596.0551559955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 2*t - 181. Give n(11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 526635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q + 57. Let t = q - -35. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018857 = -151*r + 154*r. Is 1 + 6\/(-4) - r\/(-58) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*d - 2, f - 3*d + 8 = -6*d. What is the second smallest value in 1, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -4 + 3 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 109*b**3 - 20*b**2 + 20*b + 6. What is the hundreds digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, -0.2, -0.4, -5.\nAnswer: -5, -0.4, -0.2, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 57 = -6. Let g = -3647 + 3716. Let j = g + s. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from {p: 3, n: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -601, -555, -509, -463, -417, -371?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 9*i + 5*d + 25, 0 = -3*i - 4*d + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/w**(-7))\/(w*w**(-1\/2)*w))**(-2\/15)\/(w\/(w*w*w\/w**(4\/11))*w\/w**(-1\/4))**27 assuming w is positive.\nAnswer: w**(6137\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((340\/(-238))\/(450\/84)).\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 6*b + 16*b)*(-633*b + 1053068 - 1053068) to the form f*b + a + s*b**2 and give s.\nAnswer: -5064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90326*o + 19809*o - 3802*o + 49217*o - 26691*o.\nAnswer: 128859*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -975*1 - (14 - 9). Which is greater: -981 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1342236 divided by 63916\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.855 + 10.165. Which is the second biggest value? (a) -1 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/48)\/(22\/(-33)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 68*j = -230 - 370 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f*f**(1\/4)*f)\/f)*f*f**(3\/8)*f)**(2\/11) assuming f is positive.\nAnswer: f**(1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + 0)*-3*2)**2 - (1*sqrt(76)*3 + (-1 + sqrt(76) + -1 + sqrt(76) - sqrt(76))))*4.\nAnswer: -32*sqrt(19) + 10952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3420 = -5*t, -2*a + 192 = 5*t - 1155. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12*m + 84. Let b be c(-7). Suppose 0 = -5*v - 3*i - i + 1162, 2*i + 4 = b. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6494943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*j + 2*o + 36, 48 = -3*j + 3*o. Let a be 8\/j*(1 - 10). Suppose 4*w = a + 6. Solve 0 = 3*f - w - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rccrccacrrracraaaaa. Give prob of picking 2 r and 2 a.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99313635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -23\/3 (c) 0.0555 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94250, 188235, 282228, 376229, 470238, 564255, 658280?\nAnswer: 752313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-320)\/16)\/240)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45841.\nAnswer: 45841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Suppose -5*q + 18 = -y*q. Suppose -q = -h + 5*s - s, -2*h - 8 = 3*s. Sort 0, h, -5 in descending order.\nAnswer: h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -73, -59, -43, -25, -5, 17?\n\"Answer: w**2 + 9*w - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 435 = -12*x. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/17 + 42*l**2\/17 - 48*l\/17 - 88\/17.\nAnswer: 2*(l - 2)*(l + 1)*(l + 22)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902997 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1060 times 0.2\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 273177818 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 818, 821, 824, 827, 830?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4098*z + 27000 = -121810 + 25760 - 155614 for z.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12\/13 (b) -3\/8 (c) 3\/4 (d) 3\/7 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -142? (a) 1 (b) 2 (c) -2\/21 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3923 + 3407 = 86*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 77 = -b - p, 5*p - 117 = -b. Let c = b + -66. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*c - 33. Let j = -7 - 7. Let o(s) = s**3 + 14*s**2 + 5. Let h be o(j). Solve -a - c = x + a, -h*x - 3*a = 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26400 and 360?\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4760 and -199\/104040.\nAnswer: 728280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2268.34587 nanoseconds to weeks.\nAnswer: 0.000000000003750571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 541 - 305. Let w = 246 + f. Let u = 227 + w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Suppose u*w - 3*f = 3, -w - 4*w + 3*f = 3. Is (0\/w)\/(-2) - -53 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593\/4 - -147. Let i = 10\/49 - 639\/490. Calculate the common denominator of i and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*h - 4*h. Let g(u) = -8*u**3 - 6*u**2 + 4*u + 1. Let l(k) = -7*k**3 - 5*k**2 + 3*k + 1. Let v(m) = h*l(m) - 4*g(m). Give v(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*q = -89, -2*q = 4*i - 51 - 315. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**5\/11 + 71280*c**4.\nAnswer: -6*c**4*(c - 130680)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -23*v**2 - 5*v + 28. Let f(a) = -10*a**2 - 2*a + 14. Let b(t) = -7*f(t) + 3*w(t). Calculate b(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158606 * 2491.\nAnswer: 395087546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -19584 less than -19584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-340) + 450\/34.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9799, 39226, 88273, 156940, 245227, 353134?\nAnswer: 480661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 4:14 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/290 or 1?\nAnswer: 11\/290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/5 - 2*w**3 + 12*w**2\/5 + 8*w\/5 - 16\/5.\nAnswer: 2*(w - 2)**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x**2 - 145*x - 619. Calculate t(-7).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1 + (-10)\/(-6)). Suppose u - 6 = -o*u. Sort -5, u, 4 in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d = -1003 - 953 + 164 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -236*u + 236*u - 42*u**2 + 4 - 4 + u**2 + (-u - u + 0*u)*(-u - u + 0*u) as n*u + c + w*u**2 and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 2166806646?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = 56*x - 283 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 15. Let d = o + -3. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6583, -6420, -6257, -6094?\n\"Answer: 163*v - 6746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2827 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 60*p**2 + 7*p**2 + 16*p**4 + 27*p**2 - 17*p**4 + 7*p**2 - p**3 + 2 as b + i*p**4 + k*p + z*p**3 + f*p**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -13436.1348 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761282 is divided by 176102.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2975198720 divided by -5.\nAnswer: 595039744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 830*g. Let v(b) = -32306*b**2. What is v(r(s))?\nAnswer: -22255603400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1172 and 109.847.\nAnswer: -128740.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 11) to base 6\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 7*f**2 + 14*f - 18. Suppose 5*o + 20 = j, j = -4*j + 2*o + 31. Let n be y(j). Solve -n*p + p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:58 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = -15*q + 54*q - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3783 (c) 4\/9 (d) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -11 + 10 - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrergryeg. What is prob of sequence eger?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (1 + -5 - -1). What is the remainder when 44 is divided by m\/10 + 585\/25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**6\/120 - p**5\/12 + 7*p**4\/24 - 3*p**3\/2 - 14*p**2. Does 8 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 2370 = -2474 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 280\/2*(-4 + (-160)\/(-50)). Does 12 divide (a\/49*3)\/((-2)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2*(5 + -3). Let z be -4*2*s\/(-24). Which is the third biggest value? (a) z (b) -10 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*k + 2285 - 854 = -838 - 3895 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0 - 6. Let v = 4 + f. List the prime factors of ((-32)\/(-40))\/(v\/(-35)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040 divided by -3112\nAnswer: -130\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 11. Calculate h(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3049 and 488196733.\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/19 or -80?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34896803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61.70603ug?\nAnswer: 61706.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:36 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3203028 to four decimal places.\nAnswer: -0.3203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3207 - 3217. Let n = -32 - -33.7. Let t = n - 2. Which is the closest to 1? (a) t (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122579681 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = 8. Suppose -k + 3 = 3*y + j*y, 5*k - 15 = -4*y. Suppose y = -4*z - 3*o + 81, -2*o + 1 = 5*z - 95. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*h**4 - 7492*h**2 + 4329536.\nAnswer: -248*h**3 - 14984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -41*d**4\/4 + 4*d - 100. What are the prime factors of q(-2)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421109, -842216, -1263323, -1684430, -2105537, -2526644?\nAnswer: -2947751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7 - 2 + 14779*t**2 + 2*t**3 - 14789*t**2.\nAnswer: 2*t**3 - 10*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = -6. Is 212 - 9*p\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.52 + -0.22. Put k, -6, -0.1 in ascending order.\nAnswer: -6, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359585130.\nAnswer: 2, 3, 5, 11986171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 38. Suppose 3*m + 213 = 5*b - m, -2*b + 76 = o*m. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13800234 - 0.138. What is t rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 89 (c) 45 (d) 2\/19 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1177 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z**2 + 4*z**2 + 0*z**2)*(17 - 34 - 15) + z - z**2 - z)*(0*z**3 + 2*z**3 + 0*z**3).\nAnswer: -194*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/5 + 4 - (1 + 0). Factor 89*s**3 - 7*s**4 + s**2 - 92*s**3 + s**4 + 2*s**x.\nAnswer: -s**2*(s + 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p + 472460 = 473566 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37237459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from nsfffnsknfn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 1, 3, 25.7, 441 in decreasing order.\nAnswer: 441, 33, 25.7, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 284728.8 years?\nAnswer: 28472.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*h + 48*h + 126*h)*(2 - 3 + 0).\nAnswer: -144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-24 + 24 - 11\/4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2668)\/(-460) - (4 + -4)\/3\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/18 - (1084\/(-24) + 0). Let u be (-10)\/45 - (125\/v - 4). Solve -w + 5 = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.02963 to two decimal places.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -3*j**4\/8 - 7*j**3 - 5*j**2. What is the smallest common multiple of c(-5) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by (-1 - (-35)\/25)\/((-68)\/(-5780)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, 295, 701, 1293, 2083?\n\"Answer: 2*g**3 + 75*g**2 - 7*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 12. Let u(d) = -d**3 + 7*d**2 + 2*d - 3. Let k be u(7). Let w be p(k). Calculate the common denominator of (2 - w) + 453\/(-60) and 25\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -21138919 and -21138919 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000314 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 353, -81, 1, -1 in decreasing order.\nAnswer: 353, 1, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3008 and -4651.694.\nAnswer: -4652.9948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*q - c, 2*c + 4 = -4. Suppose -3*f = -9 - q. Let i be (-10)\/13 + -5 + f + 3. Are 1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b + 8. Let h(q) = -6*q + 7. Let w(p) = 3*h(p) - 2*i(p). Let x(c) = 7*c - 6. Let d(o) = 5*w(o) + 4*x(o). Let j = 1 - 3. Determine d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*a**4 + 43182*a + 7*a**4 - 1628 - 43179*a wrt a?\nAnswer: -140*a**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 6. Let x be n(2). Solve 5*a - 2*a - 4*g + 4 = x, 1 = -5*a + g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031332.01 rounded to the nearest 1000?\nAnswer: -3031000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64\/3 of a day?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:32 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -19382\/5, -1\/2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Let q be (-20)\/(-6)*(y + 3). Does 8 divide 4\/q - 312\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4*n - 464 = 0. Suppose 27 = -n*p + 113*p. Let q(o) = -o - 13. Determine q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*s**2 - 187384206*s + 28828340.\nAnswer: -2*(s + 7207085)*(13*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71175?\nAnswer: 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**3 + 11*l**3 - 7*l**3 - 1 + 1 - 3*l**3 + (0*l - 2*l + 4*l)*(0*l**2 + 0*l**2 - 3*l**2) as i*l + a*l**2 + c + j*l**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6 + 8 + 103*n + 6 - 2*n. Is w(3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 3 (c) -2 (d) -32 (e) -2\/33967\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72\/155 + -2\/31. Let l = 2795 + -2786. What is the nearest to z in 1, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Suppose w*m = 6*u - u - 34, -u - 1 = 2*m. Solve -4*z - 3 = -u*t, 2*z - 2*t = -0*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79653\/10 + 7972. Suppose 75 = 30*p - 25*p. Calculate the common denominator of (-1 + p\/40)\/(54\/(-104)) and k.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1456?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 5 (b) -5 (c) 13865\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 2 (b) 4 (c) 23\/233 (d) 0.3 (e) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - b6?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (101 - -2) + 2\/(10\/25). Suppose -2*k + 5*q + 54 = 0, -5*k + 3*q + a = 4*q. Solve -5*m = -i - k + 5, -2*i = -6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -679 or -683?\nAnswer: -683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 18*u**2 + 4*u - 69. Let x be t(18). Let s(i) = 26 - 247*i + i**x - 239*i + 12*i**2 + 488*i. Give s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k - 5071 - 5072 - 5067 + 15210.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*-1*11\/(-198)*-2)\/(974\/(-58440)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bcca + 5?\nAnswer: -bcc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**3\/3 + 5*x**2 - 8*x + 43. Let s be b(9). Let y = -163\/38 - -9\/2. Does s = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3916 - -1.1916. Put d, -4\/5, 82 in descending order.\nAnswer: 82, d, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by -5\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3 and -1\/2007285.\nAnswer: 2007285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-56))\/((-33)\/396)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1770*y + 12410 = 4*s, y + 1948 - 1965 = -2*s for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16935521969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r**(2\/9)*r*r*r\/r**(1\/7)*r*(r**5\/r)\/r*((r*r*r*r*r**(3\/5)*r*r*r*r)\/r)\/r assuming r is positive.\nAnswer: r**(5254\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 3*m - 24 = 0, -5*i - 10*m + 14*m - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3. Let m be x(1). Let k be 1\/2*(m - 2). Suppose k = -4*w + 39 - 367. Round w to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*a = -143*a - 12408 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -331440 (base 6) in base 11?\nAnswer: -19811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 2\/19, -19, -0.1, 672, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 97114080.\nAnswer: 97114080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 2023961 and 0.4.\nAnswer: 2023961.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 61*q - 59*q. Let p(b) = 43*b**2 - b + 1. Let n be p(q). Let x = n + -842. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-4 + (-13 - -12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkkxxkgqxkxkkkxx. What is prob of picking 2 x, 1 q, and 1 g?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 20 + 0*q - 6*q)*(746 - 260 - 123).\nAnswer: -2178*q - 1089","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*r = 4, -157*r - 14 = -2*y - 159*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -16 + (6 - 11 - -2 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*10647.82.\nAnswer: 4259.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008325 to six dps.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6 + 50. Let x be (-16)\/(-2) - (1 - 1). What is the least common multiple of 14\/8 - (-2)\/x and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12615\/11 + -11 + (-4)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*p + 27*p + 28*p + 8098. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - 2*sqrt(28)\/sqrt(4))*4)**2 + 5 - ((sqrt(315)\/sqrt(5))\/sqrt(9) + (sqrt(448)*2)**2).\nAnswer: -1675 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -178 + 155 - (4 + -5 + (2 - 12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 2\/7 (b) -0.3 (c) -1 (d) 0.2 (e) 2512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2, -6, -0.2, -35, -2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - ((12 - 25 - 56) + -32)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(288) + 5 + sqrt(19) + -1.\nAnswer: 4 + 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 715687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1168.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(-6*o + 7*o + 18*o).\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-505)\/(-35) + (-8)\/(-14). Solve q = 3*o - 17, 0*q + 5*q = o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1*-1 + sqrt(187))\/(sqrt(11) + (sqrt(11) - ((sqrt(66)*-5 - sqrt(66)) + sqrt(66))\/sqrt(6))).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 - 153. What is the third derivative of 14*b**4 - 14*b**y - 5*b**3 + 4*b**4 + 31*b**2 wrt b?\nAnswer: 96*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v**3 - 380*v**2 - 12492*v + 9576 = 0.\nAnswer: -19, 3\/4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 18*p + 3 = 0. Suppose 0 = p*a - 3*k + 552, 5*a - 3*k + 584 = -342. What is a rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*h + 6717 = 21751 + 9106 for h.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -66794 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 2*d + 1. What is r(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 289618*u\/5 - 868836\/5.\nAnswer: -2*(u - 144806)*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1012 - 4.8988. What is the second biggest value in x, 1, -31?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, -2\/7, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 52994*d.\nAnswer: 2*d*(d - 26497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -332003 (base 5) to base 4\nAnswer: -2303233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -56, -111, -170, -233?\n\"Answer: -2*j**2 - 45*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrdmmmmdrmdmmmd. Give prob of sequence dmmd.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**3 - 6*l**2 + l - 1. Let m(a) = a**3 - a**2. Let z(b) = 6*m(b) - r(b). Let v(d) = d + 3. Let n be v(-2). What is z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -564, -597, -692, -879, -1188, -1649, -2292?\n\"Answer: -5*h**3 - h**2 + 5*h - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -302399, 0.\nAnswer: -302399, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532893613.\nAnswer: 7, 139, 547681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y + 1006 - 328 + y - 2*y**2 - 339 - 327.\nAnswer: -2*(y - 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 404, 809, 1214, 1619, 2024, 2429?\n\"Answer: 405*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-19)\/(-2) - 0\/2\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1828551 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 0 + 0. Let x(b) = 12*b**3 + 2*b**2 - b + 1. Let z be x(1). Let u(s) = z*s - 6*s - 6*s + 5*s. Determine u(m(w)).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-18887541.\nAnswer: 5666262.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 32*u + 1. Let a be (-18)\/(-14) - (-4)\/(-14). What are the prime factors of c(a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 104.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 130*u - 125.\nAnswer: -5*(u - 25)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 10*x**2 + 8*x + 6. What is the lowest common multiple of 4 and c(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 57*w - 3869. Let p be h(68). Solve 0 = 9*t - 10*t - p for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -92?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**3 - 7*p + 13 - 6 - 5 + 2*p**2 + 4*p**4 + 5*p as n + v*p**4 + m*p**2 + f*p**3 + z*p and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -22*z**3 - 2*z**2 + 10*z - 68. Let p be g(-8). What is the highest common factor of 536 and p?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15420.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/849354 and -32\/119?\nAnswer: 5945478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 12*p = 25, -42 = v - 5*p. Let b be ((-4)\/(-2))\/(4\/(-58)). Let f = b + v. Round f to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9336401 - -5871582. Let w = -7664819 - h. What is w rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 2238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.48 + -2.58. Let x = -63942.05 - -63942. Which is the nearest to y? (a) -3 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*k = 51, -2*h - 4*k + 37 = -k. Let g = 21 - h. Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/15 + 4874*r**2\/15 + 39354*r + 6114906\/5 = 0.\nAnswer: -2311, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y + 50. Let b be h(-10). Suppose -g + 5*f = 1, 0 = -2*g - 4*f - f + 73. Find v such that b - 3*v**3 - 15*v**2 - 3 - g*v - 9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 910 - 609 = -212*b, 17*b + 19*b - 35*b = -3*a + 28 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*u - 4*i - 2, -4*i = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116 - 116 + 34*g + 6*g - 5 + 5 + (1 + 3 - 3)*(-6*g + 4*g + g) + 4 - 4 - 2*g.\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -1. Suppose 83 = 3*o - w*u, -2*u + 50 = 2*o - 0. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -20*a. Let w(l) = -34*l. Calculate w(k(h)).\nAnswer: 680*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/((-2 + 436\/210)\/(396\/990))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1\/10, -0.07 in decreasing order.\nAnswer: -0.07, -1\/10, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1636*v + 1631*v - 45 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*v - 20058*v - 12574*v.\nAnswer: -31284*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 - -125. Let z = j - 36.99999956. Round z to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5409*f + 82770 = -5394*f. What are the prime factors of f?\nAnswer: 2, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35343941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6871\/6 - 1141. Let r(g) = -277*g**2 + 3. Let f be r(-2). Let n = f + 6679\/6. What is the common denominator of i and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*f = 1143 + 499, 0 = 4*f. Suppose 0 = -11*o + n - 139. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 2. Let n(j) = 2*j**2 - 1052*j - 15. Give -n(v) - 6*z(v).\nAnswer: -2*v**2 + 1022*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43, 5, -2\/3?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 x when three letters picked without replacement from {s: 9, x: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8)*-18*2. Let q = t + -14. Let n be q\/(-2)*(-4)\/5. Is -4 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 42 = -z, 21 = -1002*t + 1003*t + z. Suppose 0*m = 5*m + 3*w + 27, -3*w - 12 = 0. Put 0, t, m, 5 in descending order.\nAnswer: t, 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46956 is divided by 116?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 5*d - 1. Let k be n(-5). Let l = 6 + k. Suppose -3*c + l + 1 = 0. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159.2 - 159. Let m = 13 + -4. Which is the closest to -1? (a) -0.3 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47209, 47069, 46827, 46477, 46013?\nAnswer: 45429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5683*a - 38. Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnscssswnns. Give prob of picking 1 n and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + 136. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114569313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2529888 + 2*o**2 - 2529888.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21976137 is divided by 673?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -786579*g**5 + 522869*g**2.\nAnswer: -47194740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/r)\/((r*r**(2\/11))\/r*r*r))\/(r**(-5)\/r)**(24\/5) assuming r is positive.\nAnswer: r**(1079\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = 0. Suppose a - 2*d = -6 - 1, f = a - d + 3. Let w(y) = 5*y - 3. Let c be w(a). Solve -c*g + 6 = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12.5 or -392?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 4*c + 0*c + (6 - 10 - 4 + (-1 + 4 - 1)*(1 - 1 + 2))*(-6*c - 17 + 17) as b*c + v and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + i**5 + i**5 + (-4*i**3 + 2*i**3 + 6*i**3)*(-3*i**2 + 3*i**2 - i**2) + 8*i**5 - 10*i + 10*i.\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 55*v**3 + 5*v**2 + 1 - 6*v + 31*v - 3*v**2 - 13*v - 14*v. Calculate b(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105233 is divided by 21042?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100055 or -4102275\/41?\nAnswer: -4102275\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -23*u**2 + 705*u - 1383. What is l(2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326325 and 15600.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1542*g - 35. Suppose -5*q + 39 = 3*r, -2*r = -30*q + 25*q - 1. Is x(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 (base 15) to base 12\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1463.4 - 1463. Let k be 1\/(5\/(-2) + 2). Let j = 51\/583 + 5\/53. What is the nearest to -0.1 in k, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + z + 1232. List the prime factors of z.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 7 + 11 = 4*l, -4 = -4*l + 2*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10084860 = -115*t - 46*t - 19*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 19. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2314, 9317, 21014, 37411, 58514, 84329?\n\"Answer: j**3 + 2341*j**2 - 27*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -659, -675, -691, -707, -723?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g + 30 = 0. What is the units digit of g\/5*(-10)\/(1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 15*q**2 + 14*q + 17. Let o be m(16). Let c be (o\/7 - -3)*-7. Let z(i) = i**3 + 6*i**2 - 2*i - 6. Is 6 a factor of z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47684*m - 23842*m + 97*m**3 - 99*m**3 - 23842*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*r**5 - 598*r**2 - 3*r**3 + 598*r**2 + (0 - r**4 + 0)*(-r - 3*r + 2*r) + 0*r**5 - 2*r**5 + r**5 + 3 + r**5 - 3 - 6*r**5 + 2*r**5 + r**5.\nAnswer: 14*r**5 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/25*(-50)\/30\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p + 83*p - 102*p**2 + 1 - 1 + 107*p**2 in the form j*p**2 + b + y*p and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -74059805 at most as big as -74059806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -77, -81, -61, -5, 99, 263, 499?\n\"Answer: 2*j**3 - 18*j - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n - 22*n = 57 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -15, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -35. Let j = 2.04 - -0.36. Let y = j + -1.4. Which is the closest to y? (a) -0.3 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1243, 1242, 1241?\n\"Answer: -r + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -22*t - 910. Calculate i(-41).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 55. Suppose -c + 80 = g, -w*g + 4 = -16. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4606 is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 11. Let w be g(-8). Suppose -w*l - 4*l + 45 = 0. Suppose 4*o - 801 = -l*d, -4*o + 8*o + d = 781. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8861, -8851, -8841, -8831, -8821?\nAnswer: -8811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(1120\/(-21))*-356. Let a = 659\/10 + c. Factor -1\/2*s**2 - a + 5*s.\nAnswer: -(s - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -49 (b) -3\/5 (c) 0 (d) -3557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*y = 14. Suppose -8*v = -2*v + 18. Let n be (-1)\/v*-3 + (8 - 0). What is the greatest common divisor of y and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19681 times -0.03\nAnswer: 590.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 + 0 - (5 + 6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*14)\/((-4)\/(-2)). Calculate the remainder when o\/(-5)*40\/(-8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 12531433?\nAnswer: -12531424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -1\/6 (c) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 19*j = -21*j + 18, -2*j - 22 = -4*f. Suppose -2*i - 10 = 0, 0*h + 3*i - 25 = -2*h. Suppose 6*l = l + h. What is the biggest value in l, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4458*a + 153. What is the units digit of i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m - 48*m - 127*m - 88*m + 48*m in the form l + w*m and give w.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-39 - (63 - 19)) - (1 - 8).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4*-3*(-6*sqrt(108) - sqrt(108)) - (-5 + (3*sqrt(108) + sqrt(108) - sqrt(108)) + 5)) + 1)**2.\nAnswer: -1044*sqrt(3) + 817454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0075 times -0.11\nAnswer: 0.000825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71171.\nAnswer: 71171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t**2 - 3*t)*(t + t + 2*t) + (-7 + 7 + 3*t)*(6*t**2 - 4*t**2 - 3*t**2).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d**2 + 5*d + 1. Let r(j) = -j. Let k(p) = -q(p) - 4*r(p). What is k(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(-5 + sqrt(76)\/sqrt(4))**2 + 2 + -1 + sqrt(209)\/(sqrt(11) + sqrt(264)\/sqrt(6))).\nAnswer: -605*sqrt(19)\/3 + 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 75287300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -15*k + 1. Let x(h) = 167*h**2 + 8*h - 5. Let p be x(-12). Let j(i) = -p + i + 23947. What is g(j(c))?\nAnswer: -15*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -72234 less than -32?\nAnswer: 72202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97737?\nAnswer: 3, 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2 - 10, 2*a + 6 = 4*c. Sort 2, a, -0.3 in descending order.\nAnswer: a, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/2 of a week?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_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: Calculate 32144 divided by 8036.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)*c)\/(c**(3\/4)\/c)*c**6\/(c*c\/(c\/(c\/c**(-1)))))**(-1\/12) assuming c is positive.\nAnswer: c**(-89\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4299235412 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 5. Let g = 6 - q. Let r = g + -4. Sort -5, r, -2 in decreasing order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.036 in -0.0723, 69, -2\/7, -4\/5?\nAnswer: -0.0723","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/14)*(o**(-17)\/o*o)\/o)\/(o**(12\/5))**5 assuming o is positive.\nAnswer: o**(-407\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9.0344. Let w = 0.029 - f. What is w rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, m: 2, a: 2, w: 3, o: 1, q: 5}. Give prob of sequence mqm.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 10*t - 12. Let v be p(1). Solve -15 = o + 4*o, 30 = v*b - 5*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80850 and 700.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -7*g + 6*g, 6 = -2*p - 5*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/2, -0.5, -0.37, -1?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 810.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:35 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-89)\/89 - (-326 - 0). Which is smaller: 324 or s?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.034, -1\/2, -0.4, 0.4 in ascending order.\nAnswer: -1\/2, -0.4, -0.034, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1\/2)*-4. Suppose -4*n + 4 = -y*n. Differentiate 2*u**4 - u**4 - n - 2 - 2*u**4 wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 17*s + 2*x - 64, -3*x = 5*s - 273 + 233 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3414*m + 434*m - 120*m + 957 + 64143 = 0 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4) + -3)\/(-4 + -2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 265*l + 5. Let h(p) = -266*p - 6. Calculate 3*h(m) + 2*x(m).\nAnswer: -268*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Sort -5, v, 5 in increasing order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*f + 62*f - a - 854264, -2*f + 1708486 = 4*a. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6*m + 2. Let g be b(6). Solve 5 = g*x - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 24 = 3*h. Put -4, h, -3 in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.596317278 to two decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0889 + -0.1111. What is the second biggest value in a, -441, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.059 - -0.941. What is the closest to a in 2\/17, 1\/5, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8380 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 8*k + 884. Let p = -176 - k. Let c = 76 + p. Solve 0 = s + c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11645 + 2667. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6 + 4. Suppose 2*l = 5*h, 4*l + 3*h = -2*h. Let z = -57\/2 + 29. What is the closest to l in 0.3, c, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/105 and (-576)\/(-1296)*(2 + 138\/(-28))?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 26. Suppose -w*p = 24 - 34. What is the remainder when (0 - -6)\/3 - -4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8021 * -3\nAnswer: 24063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-4)*20\/25. Let l be 18\/(-19)*u\/3. Let j = -77\/152 + l. Which is the closest to 0.1? (a) -5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 - 119. Let x be 141\/p + 0 + -3. Suppose 0 = -127*k + 134*k. Do k and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*q = b + 4, -5*b = -4*q - 12. Suppose -1 = -3*y - 10, -b*a = 4*y - 268. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f9 + -9da9b?\nAnswer: -9db94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 1 + 6*q**3 + 15*q**3 - 4*q**3 - 3*q**3 in the form j*q + t + o*q**3 + l*q**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(45)*1).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-800)*8*-15.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = 2*g, -5*g + 5 = -3*v. Let p = v + 11. Does 12 divide 20\/p*(-54)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose 5*k = -5*l + 32 - 7, 4*k = -2*l + 10. Suppose -l*g + 191 - 216 = 0. What is the second biggest value in m, 0.01, g, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -985*2106\nAnswer: -2074410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375 + -372. Let h(s) be the second derivative of 1\/7*s**7 - s**4 + f*s + 1\/3*s**6 - 1\/5*s**5 + 0 - 1\/3*s**3 + s**2. Factor h(c).\nAnswer: 2*(c - 1)*(c + 1)**3*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -8. Is (-106)\/o - (-2)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12980*o**3 - 826*o**2 - 413. Let q(f) = 63*f**3 - 4*f**2 - 2. Determine -1239*q(h) + 6*u(h).\nAnswer: -177*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -979 in ascending order.\nAnswer: -979, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 122370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(18\/4))\/(4\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -18) + 0 + 6\/(-3). Let f be 116\/(-10) + 6\/d. Which is smaller: f or -10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*p - 148*p - 45. Let v(l) = -l**2 - 8*l + 3. Let j be v(p). Let i(s) = s**2 + 6*s + 9. Calculate i(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 21*x**2 - 15*x**2 + (3 - 33*x + 36*x + 1)*(5*x - 4*x - 4*x) in the form f + y*x + z*x**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12090 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 186156309237*m**4\/2 - 93007623054*m**3 - 70513749*m**2 - 17814*m - 3\/2 = 0. What is m?\nAnswer: -1\/3959, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r = 50*r + 6. Let o(l) = -12*l - 31. Let i be o(r). Solve 11 = i*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479802.\nAnswer: 2, 3, 79967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/3, -2\/9, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -476676.513 and -26?\nAnswer: 476650.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (6\/(-3) + -178). Let w(l) = l**2 + 4*l - 1. Let a be w(3). What is the greatest common factor of q and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2259960 and 1332?\nAnswer: 6779880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 76687.99mg?\nAnswer: 76.68799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 94a - -3a72?\nAnswer: 46bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjgjjfjgcjfjgjgfjjj. What is prob of picking 1 f and 1 c?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2889*c = -2888*c - 18, -2*t = -6*c + 108. Factor -1\/6*m**2 + 1\/6*m**4 + t - 1\/6*m + 1\/6*m**3.\nAnswer: m*(m - 1)*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 20*p - 2. Which is smaller: p or -4\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 85806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j + 1. Let i be d(1). Let l be (-1)\/(1\/(-7*1)). Let s = l + -10. Sort s, 0, i in ascending order.\nAnswer: s, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146950 and 98350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5217369 is divided by 4211?\nAnswer: 4151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 122572335725 and 18.\nAnswer: 122572335743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7233 is divided by 1160?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*a - 8, 0 = -0*k + k + 2*a - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2123 - -2163)*2\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.03584 * -22.8\nAnswer: -0.817152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence she when three letters picked without replacement from rheeusurleersrsurueu?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*n + 2641 - 628 + 274 = -1625 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301929 by -3.\nAnswer: 100643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 3 + 43 = 0. Suppose 31*y + 142 = 4*m + 32*y, -l*m + 72 = y. Solve -9*p = 1 + m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.84 - 0.04. Let r = g - 0.3. Let i = -26\/21 - -20\/21. What is the closest to i in 3, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 142955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjvj. What is prob of picking 1 v and 3 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 11, n: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*a + 2*a. Let o = 16 + -10. Calculate the highest common divisor of a and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11203038\/41 greater than -273245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5 + -9 - (1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 387371756\/1785 - 217015. What is the common denominator of 1\/120 and w?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3257 - -3259. Which is the nearest to 7\/4? (a) i (b) 0 (c) -0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/142 and -25\/142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 23*d - 8. Let p be w(12). Solve 3*l = -2*q - 1, -p*q - 19 = -5*l - 50 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**4\/24 + 3*s**3\/2 + 12*s**2. Determine l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:20 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-8) - 15 - 3509\/116?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 + (-68)\/70. Let o(r) = r**3 + 23*r**2 + 17*r - 111. Let s be o(-22). What is the closest to s in -2, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5539.126 micrograms in nanograms?\nAnswer: 5539126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -16, -42 = -9*x + 4*x + 3*u. Let v be x\/9 - (-12)\/9. Suppose -o - v = 2, -5*m = 5*o - 425. What are the prime factors of m?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4110421 + 3?\nAnswer: -4110414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 98 = -19*r - 4*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111100010101100 (base 2) to base 11\nAnswer: -21234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464940 and 1120?\nAnswer: 3719520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 374106527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(1 - 2)\/1. Let p(i) = i**2 - 5*i + 2. Let y be p(z). Let k(c) = -2*c**3 + 2*c**2 + c. Give k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2289, 4596, 6901, 9198, 11481?\n\"Answer: -w**3 + 5*w**2 + 2299*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 4 + 4 - 22*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 574726 and 3\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4 + 2640*x**3 + 43940*x**2 - 224160*x - 2350080 = 0. Calculate x.\nAnswer: -18, -6, 8, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 14 - (-83 - -35)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/60 - x**4\/12 + 2*x**3\/3 + 9*x**2. Let v be i(0). What is the closest to -1 in v, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 15*c**2 - 35*c - 217. Let q be m(-14). Solve -856 + 240 = -q*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4 - 7\/(-14). Suppose -i*l - 3*l - 20 = 0. What is the units digit of (-6)\/(-4 + 7)*l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**4\/6 - 17*x**3\/3 - 5*x**2 + 75. Suppose 3*q + 29 = -10. Let m be o(q). Calculate the highest common factor of m and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -2 (b) 0.1042 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:28 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r + 7*r + 20, -s - 289*r + 144*r + 27 + 15 = -142*r for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 2*b + 94, 21393*l - 21388*l + 12 = b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (51\/(-9) + 6)*(-12)\/(-14). What is the second biggest value in p, 4\/15, 2\/5, 5\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62732 divided by -5?\nAnswer: 62732\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (1419 + -40)*(-1 - (-3 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 34*p**3 + 5*p**2 + 35*p - 80. Let a be f(6). What is the highest common divisor of 356 and a?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37343.39527 rounded to the nearest 10?\nAnswer: -37340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (111 - 60 - 502)*(-2*j**2 + 0 + 0 + (12*j - 10*j - 18*j)*(-4 - 2*j + 4))*(-4*j + 5*j + 2 + j) to c*j**3 + h*j + q*j**2 + a and give q.\nAnswer: -27060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*t - 127*t = 8, 4*t = -4*h + 8. Suppose -o + 4*j + 13 - 5 = 0, o = -5*j - 10. Suppose -19 = -5*g + 1. Solve o = -h*y + 2*y + g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lye when three letters picked without replacement from {y: 1, k: 2, e: 6, l: 2, r: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099b3 (base 16) in base 12?\nAnswer: 445703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9983214 months in centuries?\nAnswer: 0.0008319345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 = 0, 6*u - 53 = -3*i + 2*u. Let x = i - 36. What is x rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 13*n + 28. Let q be p(-6). What is the tens digit of (q + 228)*((-11)\/(-2) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqbfbfkq. Give prob of sequence kffb.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3201 = 52*y + 1437 - 2292. Solve r = -5*p + 20, -73*p = -y*p + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 3*o)*(3*o - 4*o + 3*o) - o**2 - 118 + 142 + 4*o**2.\nAnswer: 7*o**2 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3429 + 150883\/44. Calculate the common denominator of a and -9\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 - 13 = 0. Sort 0, 5, 4, l in increasing order.\nAnswer: l, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*b - b - 3, 5*h + 4*b - 9 = 0. List the prime factors of ((-10)\/(-10))\/1*827\/h.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 149. Calculate the remainder when h is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727, -2139, -3551?\nAnswer: -4963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 equal to -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - 8. Let f be w(-13). Solve -2*z = -7*o + 2*o + f, -o + 2 = z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13000686.2 to the nearest one hundred.\nAnswer: 13000700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5 - 5384*c**4 - 1798280*c**3 - 137235056*c**2 - 269096828*c - 133654664 = 0. What is c?\nAnswer: -143, -1, 1634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/(21\/(-1393)*2\/732) a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-1 - -4) + 21 + -23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -93, -159, -243, -351, -489, -663, -879?\n\"Answer: -i**3 - 47*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29877 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - (-11 - -25 - -21)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 7) in base 9?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.902962 kilometers?\nAnswer: 8902962000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 9*f**2 - 16*f - 18. Let r be g(-7). Which is the third smallest value? (a) 2\/11 (b) r (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 38. Let d be k(-14). Suppose 3 - 7 = n, 2*y + d = -5*n. Suppose -9*f + 10937 = -y*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = 31*n + 756 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -14\/9*q**4 - 6 + 4*q**2 + 2\/9*q**5 + 20\/9*q**3 - 6*q = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/682 and -103\/220?\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(6)\/sqrt(2))**2 + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64514137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -192, -757, -1698, -3015, -4708, -6777?\n\"Answer: -188*u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigehwiiieei. Give prob of picking 2 e and 2 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a factor of 173601525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 4. Let l be w(0). Let n(d) be the first derivative of 3*d**4\/2 - d**3\/3 - 7*d**2\/2 - 9*d - 118. Is n(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1738604 divided by -434?\nAnswer: 4006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 8214\/11*i - 101306\/11 - 222\/11*i**2 + 2\/11*i**3 = 0. Calculate i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22614721 to the nearest integer?\nAnswer: 4755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34 + -16 + (-156)\/(-6). Calculate the highest common divisor of 187 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 33*c - 32. Let a be j(1). Solve 0 = -a*i - 2*s + 3*s + 2, 5*i - 5*s = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1130*(3 - 4 - -32). Let n be v\/(-24)*9\/(-6). Let a = n + -2184. Calculate the common denominator of a and -73\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1730?\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 124*k - 101*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 211. Suppose -3*p = -4*p + o. Suppose 20 = 2*d - 4. What is the highest common divisor of d and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 704881.7 nanometers?\nAnswer: 704.8817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, r: 9}. What is prob of sequence rvvv?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 278 in 2, 17, 0.04, 0.4, -0.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.95 - 3. Let z = 0.75 - c. Let r = z - 0.3. Put 2, r, -0.1 in ascending order.\nAnswer: -0.1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/178788 and 109\/60?\nAnswer: 893940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 2*p. Let j(q) = -q**3 + q + 1. Let m(g) = 6*g + 2. Let t(c) = -19*c - 7. Let f(u) = 3*m(u) + t(u). Give p*f(y) + 3*j(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 73947 = 3*s, 104657 = 7*k + 3*s - 67910. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcx when three letters picked without replacement from scsscbbxbssbxscbbbs.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 2. Let w(p) = 2*p - 3. Calculate -3*h(a) - 2*w(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 76 = t - 44, -2*t = 0. What is the highest common factor of 928 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 12 = -4*q. Let u(t) = -t**2. Let s(i) = i**2 - 4*i - 6. Suppose -4*v + 1 - 9 = 0. Let n(y) = v*u(y) - s(y). What is n(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 2*x + 2. Suppose 9*d = -40*d - 98. Calculate r(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -20, -58 = 5*a - 5*t - 33 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 2 = 4*g, 12 = g + 4*h. Is 329 + -2*(g + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1701*b + 1340 = 1768*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 0. Suppose 6 - 2 = 2*i. Let m be 21\/(-18) + (3 - i). Are m and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-4) + 12 - 0. Suppose 1412 = -u*a + 19*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 521, 1321, 2121, 2921?\n\"Answer: 800*k - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3276\/44)\/13 + -6\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from fwrrf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -10. Solve -2*d = -3*v - x*d + 22, 4*d = -3*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.4. Let t = 588 + -2942\/5. What is the biggest value in 2, l, -0.2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, l: 1, c: 3, a: 2, t: 3, r: 2}. Give prob of picking 1 c, 1 r, and 1 t.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -16079926 and -16079927 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 630, -1 in increasing order.\nAnswer: -3, -2, -1, 630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q**2 + 2*q + 11. Let n be i(-6). Calculate the greatest common divisor of n and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80815 is divided by 85.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from bxbdgbmllmm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335617729 times 2?\nAnswer: -2671235458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 0)*5*1. Suppose 4*o - o - 2*k = 10, 5*o + 4*k = -r. Suppose o*p = 5*p - 555. What is the remainder when p is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 726 + -1?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 1. Let y be x(-1). Suppose 2*r = 2*j - 28, 5*j + 3*r = y + 35. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 577869 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3128\/(-13685) + (-1)\/14.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204465 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 14*n - 20 = -4*a, 28 = 5*a - 4*n. Let u(y) = 8*y + 10. What is u(a)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6926, 27619, 62140, 110489, 172666?\n\"Answer: 6914*n**2 - 49*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -6386727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 305.714 + -304.714. Let i = 2.6 + 0.4. Let u = -3.1 + i. Which is the biggest value? (a) 0 (b) -1\/4 (c) r (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10 - (-123)\/15. Let o = k - -8. Suppose -3*i = -o - 2. Let y(z) = -z**3 + 7*z**2 - 7*z + 2. Determine y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 85*k - 1683. Give l(32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.01, 0, 185 in decreasing order.\nAnswer: 185, 0, -0.01, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1255 - (1 + 15\/(-1 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-42) + -1)\/(95\/285).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 18 + 3. Suppose 2*y + 238 = -w*c, -2*c = -c - 5*y + 68. What is the common denominator of -29\/10 and (c\/20)\/(12\/10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3 - 3*w + 186. Let b(p) = 5*p**2 - 4. Determine 3*b(d) - 4*z(d).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 310150 (base 6) to base 16\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101060 (base 7) to base 16\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n - 839 = -3*o, 2*n = 4*o - 1128. Suppose 6*y - 8 = 2*y, 3*l - o = -5*y. What are the prime factors of l?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 282767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/152570 and -97\/141036?\nAnswer: 147382620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3848)\/(-78) + -50 - 11\/3*-10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(26)\/sqrt(2) + (sqrt(39)\/(-1*sqrt(3)))**2.\nAnswer: -5*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -13*h + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 28815715552.\nAnswer: 28815715552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233417, 466841, 700265, 933689, 1167113, 1400537?\nAnswer: 1633961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5184133*u**3 + 682435*u**2 + u wrt u.\nAnswer: 31104798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/794 and 28\/131685.\nAnswer: 104557890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11946*s**3 + 4*s**2 + 42*s - 46. Is j(1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192240 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*x + 2*x. Let n be 0 + 1 - 2*8. Let c be n\/(-10) - x\/(-4). Which is smaller: 1\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a2 - -12488?\nAnswer: 123e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.933 and -5.\nAnswer: 0.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2389 or 2387?\nAnswer: 2389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**4 + 58*j**2 - 58*j**2 + (-5*j**3 + 3*j + 4*j**3 - j)*(0 - 2*j + 0) to d*j + x + l*j**3 + n*j**4 + g*j**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-2 + sqrt(75)*2)**2 - (((-1*sqrt(882))\/sqrt(6))**2 + 4).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9\/2)*j)\/j)\/(j*j**(-1)) assuming j is positive.\nAnswer: j**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215366039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2221 (base 7) to base 2\nAnswer: 1100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/(i*i\/(i*i*i*i*i**(-1\/4))))**(-42) assuming i is positive.\nAnswer: i**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 2\/9, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:52 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -730*h + 727*h + 540. What is the greatest common factor of h and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. Let d(t) be the second derivative of -11*t**4\/4 - t**3\/2 + 2*t**2 - 6*t. Let l(a) = -3*b(a) - d(a). Differentiate l(j) with respect to j.\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.033 + -17.467. Let p = 17.500000098 + t. What is p rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*a + 142 = 4*a + 56, -5*a + 105 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -25\/336*n**8 + 8*n**2 + 0 + 2\/15*n**5 + 0*n**3 + 0*n + 0*n**6 + 0*n**7 + 0*n**4. Find the third derivative of y(s) wrt s.\nAnswer: -1500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39887153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2667, 3298, 3925, 4548, 5167?\n\"Answer: -2*m**2 + 637*m + 2032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gguogegr. Give prob of sequence go.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 1.4. Let v be 1*-3*(-4)\/18*-6. Let t = -0.27 + -0.03. What is the closest to x in -0.2, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from uuvzuvhzzvvzvuvvrph?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -185, -5 in decreasing order.\nAnswer: -2, -5, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -524 + 499. What is the units digit of ((-26915)\/i - 12) + (-2)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/7*(3 - 14\/2). What is the highest common factor of s and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1992, -2048, -2104, -2160?\nAnswer: -2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*k + r - 17118 = -171*k, -4*k = -3*r - 34226. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2076\/11 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 3050.\nAnswer: 9150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:30 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-45) - -1*2\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -14. Let s be 23\/5 + 3\/(-5). Put -3, b, s in decreasing order.\nAnswer: s, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -39, -106, -201?\n\"Answer: -14*r**2 + 3*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:50 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 = 0, -807 = -g + 5*t - 803 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -2\/11, 3 in ascending order.\nAnswer: -2\/11, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21508 + -21507.9976341. Round k to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/80)\/((-6)\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350021 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181002508?\nAnswer: 2, 7, 860789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgdmsusdwddwwusu. What is prob of picking 1 s, 2 u, and 1 d?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 59 - 8 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 1}. Give prob of picking 1 b and 2 x.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -3*c**5\/10 + c**4\/3 - c**3\/3 + 3*c. Let g(q) = 5*q**3 + 6*q - 2*q**2 + 3*q - 7*q - q**2. Calculate 5*g(s) + 4*j(s).\nAnswer: s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 0.2. Let i = -17.84 - -19.5. Let s = -1.91 + i. Are c and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -715357 + 6215357. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*g = -9, -13*g = -8*g - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3732 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: Calculate prob of sequence ppp when three letters picked without replacement from ppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(45) + sqrt(135)\/sqrt(3))) + -4 - (sqrt(20)\/(1*sqrt(4)) - sqrt(315)\/sqrt(7)).\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 1.06. Let v = u + 4.84. Sort 2\/15, -3, v.\nAnswer: -3, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 161*o**3 + 159. Let p(s) = -32*s**3 - 32. Let i(r) = 11*p(r) + 2*x(r). What is the first derivative of i(a) wrt a?\nAnswer: -90*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*q**2 + 22*q**2 + 28*q**2 in the form w*q + x + g*q**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38510248.\nAnswer: 2, 7, 687683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + -3*sqrt(204))*5)\/sqrt(12).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1225 and (-4202)\/(-6) - ((-380)\/60)\/(-19).\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -0.09. Which is the closest to w? (a) -0.1 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 29 = -4*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j + 78. Let m(a) = 21*a - 390. What is -2*m(w) - 11*v(w)?\nAnswer: 2*w - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w + 69. Let k(a) = -3*a - 67. Let x be k(-24). Let t be x - ((-12)\/3 + 0). Calculate the least common multiple of u(t) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 320318 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-3)\/(-24)*-22 + 32\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/33, -0.16, 0.041, 5, -0.3?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -267, -1062, -2387, -4242, -6627, -9542?\n\"Answer: -265*p**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 4. Let d(v) = 5*v + 3. Let l(k) = -2*d(k) - 3*h(k). Let x(c) = c + 2. Let q(f) = -2*l(f) + 7*x(f). Differentiate q(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(-3)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 3. Is 2*469\/(-4)*k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -20\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.064 + 16.1. Let j = -2.45 - -4.45. Let w = j + m. Round w to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 7*v**2 + 3*v - 1. Let c be d(0). Let g(p) be the first derivative of 0*p + 1 - 1\/2*p**2. Let t(h) = -8*h - 1. Determine c*t(y) + 6*g(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*f + 10 + 139 = 0, -5*g - 3*f = -404. What is the remainder when 543 is divided by g?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -235*w**2 + 241*w**2 - 8*w - 6*w + (w + 3*w - 6*w)*(3 + 0 - 2)*(-5 + 5 - w) - 3*w**2 + 4*w**2 - 2*w**2.\nAnswer: 7*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 2, 19 in descending order.\nAnswer: 19, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - f + 3. Let r(z) = z**2 - z + 4. Let c(x) = 5*o(x) - 4*r(x). Let b be c(-1). Let u(w) = w**2 - 5*w - 1. Determine u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vggvvvgviivxaxi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.59 and -0.2?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-2*r**5 + 3*r**5 + 0*r**5) + 3 + 2*r**5 - 3 + (-r**4 + 2*r**4 + r**4)*(-2*r - r - r).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*r + r + 66, -70 = -3*r + 4*o. Let k = r - 12. Is k greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-41)\/(-27))\/(2 + (-32)\/12). Let w = u + 16\/9. Which is the closest to w? (a) -5 (b) 5\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*x - 35*x - 9*x)*(3 - 5 - 1).\nAnswer: -171*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*o - 6001 = 3651 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 13*f - 54. What is the hundreds digit of ((-43)\/(-3))\/(f\/420)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -165 + 814?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26356028.0199754 - 26356248.02. Let c = -306 + 86. Let x = c - p. Round x to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2746 + 2748. Let f = -4 - -12. What is the third derivative of -9*g**6 - 7*g**r - 10*g**2 + 0*g**2 - f*g**2 wrt g?\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:50 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 3 + 63. Let u(n) = n**2 + 12*n + 15. Let k be u(a). Solve 2*v + 31 = -k*t + 7, 2*t - 5*v = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 + 2*i**3 + 0*i**3 + (-4*i**2 - i**2 + 3*i**2)*(7*i - 99 + 99).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = r, -4*r = j + 2*j - 22. Let l be ((-4)\/(-16))\/(j\/(-6)). What is the closest to 0.1 in l, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4 + 53463*j**3 + 719598173*j**2 + 134080775673*j - 271040371758 = 0. What is j?\nAnswer: -26637, -191, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-27) + 14\/63. Suppose m = -0*w + 2*w. Suppose 2*u + w*u - 18 = 3*q, -2*u + 4*q = -18. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x\/((x\/((x\/(x*x**(-2)\/x*x)*x)\/x))\/x))**33\/(x*(x*x*(x\/x**(6\/7))\/x)\/x*x\/x**(-1\/5))**(2\/3) assuming x is positive.\nAnswer: x**(11617\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*y - 27. Let t = -25 + y. Let p(q) = 6 - 5*q**2 - q**3 - q - 8 + 0*q**t. What is p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + 18. Let p be 3 - (3 - w\/(-3)). Solve -p*o = -r - 0*r + 11, -4*o - 8 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)*f)**9\/(((f*f\/f**9)\/f)\/((f\/f**(-1\/2))\/f*f*f)) assuming f is positive.\nAnswer: f**(543\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.039 - 0.263. Let a = r + -0.276. What is the third smallest value in -5, 15, a?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 - 4*w**2 + 5*w + 5. Let f be u(-6). Let k = f - 11837\/13. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*r - 2*t, t - 8 = -3*r + 1. Suppose 0 = -3*i - 5*w - 13, i + r*w + 8 = -2*i. Factor 0 + 3\/5*j**2 + 3\/5*j**3 - 3\/5*j - 3\/5*j**i.\nAnswer: -3*j*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 + 2*b**3 - 6*b**3 + (-3897 + 3897 + 4524*b**2)*(3*b - 2*b + 3*b).\nAnswer: 18095*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from mhhhhhhhhhhhhhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 95*w**3 - 712*w**2 + 1392*w.\nAnswer: -w*(w - 87)*(w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-10))\/(-3)*(27\/(-6))\/9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3 and -19\/267.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -40*u**2 + 215*u. Let a(i) = -4*i**2 - i. Determine 8*a(r) - t(r).\nAnswer: 8*r**2 - 223*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 208\/32*2 + 0. Let r(k) = k + 14. Let a be r(-6). What are the prime factors of 431\/y - a\/52?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 347141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2217, 4257, 6297, 8337, 10377, 12417?\n\"Answer: 2040*b + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v. Suppose 22115 = 3*d - 5224. Let s(t) = 5*t + d - 9113. Determine s(a(b)).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1782 - -1779.686. Let r = z - -2.82. Let g = -0.006 + r. Which is the second smallest value? (a) -0.3 (b) -3 (c) g (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 9. Suppose -u*t + 15 = 0, 3*t = 5*h + 7*t - 35. Solve 22 = -2*b - 5*c, -b = -h*b + 4*c + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3553540 is divided by 350.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2647 = -2381. Let z = a + 8424\/5. Calculate the common denominator of z and (-84)\/14 + (-2)\/(3 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 14982?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffg when three letters picked without replacement from jgewfwgf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 4\/5*u**5 + 15 + 8*u**4 - 64*u + 20*u**3 - 16*u**2. Factor b(d).\nAnswer: 4*(d - 1)*(d + 1)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((2 - 0)\/1 + -1). Let b be y + 4 + 0\/7. Solve 3*x = -b*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l - 3*l + 4*l)*(20 + 30 - 7)*(5 - 3 + 0) to f + t*l and give t.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 + 7*z - 3. Let x be c(6). Let v = 0 + 0. Suppose v = -i + 5 - x. Solve -i*r + 1 = -3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 2*f - 3 + 3 + f to the form d + u*f**2 + n*f + r*f**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15364 = -465*v + 442*v. Calculate the lowest common multiple of v and 6.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 240*l**2 - 236*l**2 + 0 - 4*l - 1. Suppose -2*y = -y + 7. Let d = -4 - y. Determine v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-5)\/j))**(7\/4) assuming j is positive.\nAnswer: j**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -10. Let u be x\/(-4)*32\/24. Factor 0 + 1\/4*i + 1\/4*i**u.\nAnswer: i*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*r - 27 = 2*r, -3*g + 3*r = 6. What is the second derivative of -4*m - 13*m**2 + 3 + 11*m**2 - g wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2 + (-3 - 1 + 2)*(2 + 0 + 0) - 4 + 4 + 1)*(t + 6*t + 6*t).\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 12) to base 11.\nAnswer: 29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75*h*v + 87*v wrt h?\nAnswer: 75*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 33 = -4*w, 4*t = 6*w - 2*w - 28. Find the third derivative of 51*f**4 - 1 + 0 + 4*f**2 - 3*f**2 + f**w wrt f.\nAnswer: 1224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 5*n**2 - 4. Suppose 0 = 4*i - 12 - 4. Let u(o) = 5*o**3 - 10*o**2 + 9. Let w(y) = i*u(y) + 9*h(y). Find the third derivative of w(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 229, 669, 1109?\n\"Answer: 440*v - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 460395 - 95523. Suppose h = z + 1565884. Let w = 3070756 - h. Round w to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(3\/2 - 1). Suppose 15 = d*x, -3*w + 4*x = -w + 12. Solve w*u + 0*o - 3*o - 25 = 0, -26 = -5*u + 2*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - ((-1 - -1) + -1). Suppose -i*d + 0*d = -10. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-420)\/25)\/7)\/((-114)\/(-40) - 3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 36*v. Let m be f(-1). What is the common denominator of (15\/m*2)\/(8\/6) and 1\/52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -5244353?\nAnswer: 5244358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23770839 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*20\/75*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose 4*m - 1 + 5 = x. Let g = -9 - -9.2. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 - 5. Suppose 0 = 4*h + 4*f, 3*f - 32 = -5*h + 6*f. Let s(i) = 2 - 1 - h + 3 + 2*i**2. Give g(s(x)).\nAnswer: -16*x**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o - 36 = 0. What is the smallest common multiple of (12 - 0)\/(o\/6) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1241*o**2 + 12*o + 127. Let p be i(-13). Round p to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -33. Which is the second biggest value? (a) 2\/7 (b) -2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5 - 151*z**4 + 734*z**3 - 584*z**2 = 0?\nAnswer: 0, 1, 4, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274 by 1502.\nAnswer: 137\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.3465755 rounded to two decimal places?\nAnswer: 218.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17745 + 17828 = -83*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 495*n**2 + 45*n - 269. Is m(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4768 times 6\nAnswer: 28608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 18. Let p be (x - 2)\/(15\/18). Let h = -2236\/7 - -320. What is the second smallest value in p, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 130*h - 133*h + 1 + h - 4*h + 4*h + (-5*h + 3*h + h)*(6 + 0 - 4) - 3*h + 0*h + 2*h in the form f*h + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 22 = 3*g. Let b be (-9)\/g - (-5)\/2. Find the third derivative of -2*w**2 - 8*w**4 + 4*w**b + 0*w**2 wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-3 - 26\/(-10)). Let k be ((-11)\/5 - -3)\/((-2)\/95). Let m = -23 - k. Calculate the highest common factor of m and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g**3 - g**2 + 2*g - 1. Give a(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 0*p + 0*p + 6*p - 6*p - 7*p + (3 - 1 - 3)*(3*p - 2*p + p) - p + 4*p - 2*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -380840 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.8, -11, 2\/11, -1 in descending order.\nAnswer: 4.8, 2\/11, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3504 - 3503.9. Let u = -0.08 + 0.02. Let k = -5.05 - -0.05. What is the nearest to -1\/4 in k, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 6:17 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 - 3*r**2 - 2*r + 1. Let i(j) = -7*j**3 + 5*j**2 + 3*j - 2. Let w(l) = 3*i(l) + 5*p(l). Let m(y) = 2*y**3 - 2*y**2 + y. Calculate m(d) + w(d).\nAnswer: d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 219498 = -3007498. What is q rounded to the nearest 10000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 7 (c) 105 (d) 0.068 (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/5 + 1008*v**2\/5 - 139098*v\/5 + 2970292\/5 = 0.\nAnswer: 26, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*l + 1 + 4, -5 = -z - 2*l. Suppose -3*c = -z*c + 40. What is the remainder when 19 is divided by c\/5 - (1 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*n = 1485, 629 = s + s + 5*n. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (675*6 - 3). Suppose w = -b + 1151 + d, -5*w + 4*b + 26000 = 0. Round w to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4456\/47 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-15)*g**(-1\/2)*(g**3)**36 assuming g is positive.\nAnswer: g**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let l be 8\/12 + (-42)\/(-63). What is the nearest to t in l, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/5 - 32956*z**2 + 3393561656*z\/5 + 20367302448\/5 = 0.\nAnswer: -6, 41198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 160, 925, 2282, 4225, 6748, 9845, 13510, 17737?\n\"Answer: -f**3 + 302*f**2 - 134*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4 + 11. Suppose 54 + 18 = 18*j. Suppose j*d = 20, h*d = -i - 3*i + 25. Solve i*w - 12 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2 and 2\/(-3) + 376\/240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687187789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 19911597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 15) in base 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/124 and 89\/744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -776*n**4 - 3*n**3 - 9*n - 655 wrt n?\nAnswer: -9312*n**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -984*i*r + 5*i + 3*r + 337 wrt r.\nAnswer: -984*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/((v\/(v\/v**(-43)))\/v*v))\/v*v*v)\/(v**10*v))**14)**(1\/19) assuming v is positive.\nAnswer: v**(490\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*q - 18, 0*q + 17 = -3*q + 4*o. Suppose -w - q + 9 = c, -2*c = -5*w + 12. Solve -2*p = v - 4*v + 17, 0 = -p - w*v + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t**2 + 8*t + 4. Let j(v) = -v**2 + v + 1. Suppose -15605*r = -15583*r - 88. Give r*j(d) - h(d).\nAnswer: 6*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 times 0.155?\nAnswer: -30.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 5. Calculate the remainder when v is divided by (-13)\/(-3) - 1\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640, -613, -572, -517, -448?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776 minus 647358.589?\nAnswer: -643582.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*186\/62?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4326 = -2*r - 5*g, -5*r - 5*g + 759 = -10041. Solve -6*h - 2164 + r = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - -1)*(60\/3 + -5)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/44755 + 1611194\/313285. Suppose 0 + n*b - 75\/7*b**2 + 6\/7*b**3 = 0. What is b?\nAnswer: 0, 1\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c. Let k(w) = 4. Let j(v) = -v + 3. Suppose 3*y + 4 - 13 = 0. Let o(q) = y*k(q) - 4*j(q). Give o(n(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from {f: 4, g: 4, k: 1, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*l**2 + 144*l**3 + 149*l**3 - 283*l**3 wrt l?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.986747ug to kilograms.\nAnswer: 0.000000009986747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 + -246. Let i = r + 70. What is the closest to 2\/9 in 5, i, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 19. What is the tens digit of (c\/(-3))\/(-1) + 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.81*-3.1.\nAnswer: 33.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2 - 26029548*s = 0.\nAnswer: 0, 13014774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 18*w**3 + 1149*w**2 - 183*w + 429. Give d(-64).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) -0.3 (c) 3 (d) -0.9 (e) -1177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v + 4. Let n be o(5). Let z = 170 - n. Calculate the greatest common divisor of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(8\/(1104\/(-161))))\/(2\/14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - -450. Suppose -n = -13*l + 11*l. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 56 = 2*s. Let j = s + 37. Solve j - 3 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 64*g**2 + 7*g. Let d(n) = -9*n**2 - n. Let m(s) = 14*d(s) + 2*z(s). Suppose 0 = -2*i - 6 + 50. Let r(k) = -5*k + i*k + 17*k. Determine m(r(y)).\nAnswer: 2312*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 786\/24 + 1\/4. Suppose 0 = 2*t - 2 - n. What is the remainder when 24 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (14 - -6)) + -71 - (1 + -6)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1977472 and -27\/216286.\nAnswer: 13842304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 5114201.\nAnswer: 4\/5114201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028 is divided by 146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -2*i**5\/65 + 3*i**4\/26 + 2*i**3\/39 - 3*i**2\/13 - 21. Find d such that q(d) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - (6 - 8 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1, 4\/5, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*n + 6, -3*n + 6*n + 2*f - 10 = 0. Let m be (2 + 0)*(n + 0). Suppose m*v - 108 = 4*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (-1*(1 + (sqrt(405)*-2)**2) - (sqrt(4050) + -2*sqrt(4050))\/(2*sqrt(1440))).\nAnswer: -1619 + 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.511 + -0.521. Let s = a - -0.01. Let w = 3 - s. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086230*c + 543121*c + 543111*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2610*o - 29914 + 110903 = -24751 - 76960 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1549 + 1?\nAnswer: 154a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-140)*8)\/((-6)\/(-1635)). Solve 133 - n = 8*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17607 from -629323.\nAnswer: -646930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40560124 is divided by 223?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, m: 4, d: 5}. Give prob of sequence dddd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7416.56 rounded to the nearest 10?\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k - 1456 = 0. Suppose 4*g - 6*g = -k. Suppose 3*w = 5*f - g, -5*f + 3*f + 5*w = -69. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2350, 10138, 23348, 41968, 65986?\nAnswer: 95390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -513, -766?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/((-3 - 3)\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.37862l in millilitres?\nAnswer: 51378.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 1\/2, 5, 193, 0.08, -0.033?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*v + 182*v - 129*v + 9576. What is the greatest common divisor of 3006 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 + j. Let n(h) = 10*h**3 - 3*h**2 + 5*h + 1. Give -3*f(b) + n(b).\nAnswer: 13*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 294523 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 1. Let h(i) = -9*i**2 - 3*i - 4. Give -6*a(c) + h(c).\nAnswer: -3*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 5.8.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7050)\/(-72) - (-3 + (-455)\/(-156)). Solve r*m + 72 = -26 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189*w**6 - 33*w**3 + 171*w**2 + 965 wrt w?\nAnswer: 22680*w**3 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(176)\/sqrt(4) + sqrt(11) + 0.\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 40937 = a, 2 - 9 = -a. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71839703.\nAnswer: 13, 19, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13285 and 0.5.\nAnswer: 6642.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -220302 (base 4) to base 7\nAnswer: -10416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422404521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 31 = -18*t + 4*r, 5*t + 5*r = 5. Let w = 4 - -1. What is the greatest common factor of t and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/3, -6, 61?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*r + 5 = 104*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/6)\/7 + 258\/36. What is the second derivative of 7 - 22*z**4 + 11*z**4 + 19*z**4 + 49*z - t - z**5 wrt z?\nAnswer: -20*z**3 + 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5317848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/6 + 8\/6. Suppose 0 = -3*k + d + 3. Solve -k*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4109637 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788398 divided by -274?\nAnswer: 6527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**3 - 6*t**2 + 9*t + 10. Factor c(k).\nAnswer: 3*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*f - 5. Let h be 6 + ((-1)\/f - 3). Let p be (-1)\/h*-1*6. Solve -2*m = -p*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -144*y + 141*y - 5*h, -h + 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5*v)**(1\/40))**12 assuming v is positive.\nAnswer: v**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 278047 and 202216.\nAnswer: 2224376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -202, -303, -404, -505?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4\/6 + 4*u**3\/3 + 21*u + 15. Let x(y) be the first derivative of l(y). What is o in x(o) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8*12*((-1280)\/30)\/8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 10 (c) -1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/4 - 3\/(-18)*3. Suppose 3 - x = -6*c. Suppose 0 = -u - 5, 4*u - 5*u = c*p - 159. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12173 and 28.\nAnswer: 48692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 81*b**2 - 410*b**2 - 20.\nAnswer: -329*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**2 + 12*h + 37. Let c be b(-4). Let j = 475 - c. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)\/((-2)\/(-4)). Let p = y - -2. Suppose -2*q = -p*q + 10. Put -1, q, 3 in decreasing order.\nAnswer: 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43889 - 23461. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-4343)\/(-7) - ((-4)\/6 - 2001\/(-1827))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18593 is divided by 17030.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)\/(3\/33). Which is greater: i or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 113*i - 4449. Calculate v(39).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/236*((-87)\/(-15) - 5). Let r = 303\/1180 - b. Suppose -1\/4*t**4 + r*t**5 - 1\/4*t**3 + 1\/4*t**2 + 0 + 0*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/16 and -59\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1377))*-3 - (1 + 1 + sqrt(1377)))**2.\nAnswer: 576*sqrt(17) + 22096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:46 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 132\/(-55) - -3.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 55 = 2*y + 301, 2*y = -3*w + 274. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6180 or 2\/19?\nAnswer: -6180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2. Let d(l) be the third derivative of -l**6\/360 + l**3\/2 - 21*l**2. Let u(f) be the first derivative of d(f). Calculate u(t(b)).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*1*5 - sqrt(280) - sqrt(280))\/(sqrt(40)*4))\/(6*(sqrt(16) + sqrt(16) + sqrt(64)\/(sqrt(16)\/sqrt(4)))).\nAnswer: sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35783 + 0.3.\nAnswer: 0.65783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 + 16*c + 875. Calculate s(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -5*x**2 + 1\/3*x**3 - 7 - 5*x. Calculate the remainder when 29 is divided by c(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - c + (1 - 3 + 0)*(0*c - c + 3*c) - c - 4*c + c - 102174 - 126*c + 102174)*(-1 - 2 + 2) to the form g*c + i and give g.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/5))**(-29))**(3\/7) assuming q is positive.\nAnswer: q**(-522\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -383044, -5, -4 in decreasing order.\nAnswer: 2, -4, -5, -383044","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 130*o**2 - 62*o**2 + 12 - 69*o**2. Determine s(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1916 (base 12) in base 10?\nAnswer: -3042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z*z*z\/z**(3\/5))**43\/(z**(2\/5)*z**5*(z*z*z*z**6\/z*z)\/z*z**5) assuming z is positive.\nAnswer: z**(1069\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 479 - 9583\/20. Let o = 19\/60 + i. Which is the closest to 2\/3? (a) -5 (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-10) + -1)\/((-29)\/((-725)\/(-2))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/16 + (-7465)\/(-40) + -5. Calculate the greatest common divisor of q and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 + -86. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = j + 9, -3*b = -12. Let f = j - -79. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-2)\/(-15))\/((5828\/(-155))\/47)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 127405*g - 127407*g + 1425*g**2 - 285*g**2 as v*g**2 + n*g + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 4, 40, -108, 20, 1 in decreasing order.\nAnswer: 40, 20, 19, 4, 1, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 920*b**2 + 39*b - 922*b**2 - 3 + b**4 - 36*b - b**3 to the form n + t*b**2 + i*b + h*b**4 + x*b**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2284, -1\/3, 0.06?\nAnswer: -2284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 + 74082*g\/5 - 457345227\/5.\nAnswer: -3*(g - 12347)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 153 = 9*b, 48 = -b - d + 65 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:20 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5\/7 - 897*g**4 - 88317*g**3 + 3247695*g**2\/7 = 0. What is g?\nAnswer: -99, 0, 5, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1205193 by -6809.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -1.09. Let q = c + -0.338. Round q to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -38058913?\nAnswer: -8\/38058913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54573521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -762\/19 or -40?\nAnswer: -762\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 804882?\nAnswer: 804877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -2 - 1)*-1. Let p = 44 + -33. Let f = 2\/15 + 8\/15. Which is the closest to f? (a) w (b) -2\/15 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/27 and -95\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 2:01 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 9*x - 20. Let i be b(-5). Solve 0 = -2*g + 16 - 14, i = -4*a + g + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115747 divided by -72\nAnswer: -115747\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/6)\/(34\/17)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144426.\nAnswer: 2, 3, 24071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + c + 2. Let g(j) = -16*j**2 + 17*j + 13. Let v(f) = -g(f) + y(f). What is the remainder when v(6) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 12 = -7*r. What is the closest to -2\/3 in -3, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q + 33 = c - 58*q, 0 = 2*c - q + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128367913 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*p - 40023, k + 9508 + 30509 = 2*p. What are the prime factors of p?\nAnswer: 2, 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1382376431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -13 + 7 - (-3 - 2)) + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*b + q + 26, 0 = 5*b + 2*q - 21. Suppose -n = -5*d + 17, -4*n + 0*n + 7 = b*d. Is 0 - (9*n + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a - 2*n - 26 = 0, a = -4*n - 16. Let p = -2 + a. Suppose p*r + q = 237, 0*q + 3 = 3*q. Round r to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121435260 and 121435260.\nAnswer: 121435260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/14 in -70, 0.5, -3476?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338424137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -22. Let b be ((-6)\/(-10))\/(7\/35). Suppose -9*m = -b*m - 54. What is the greatest common factor of m and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 13. Suppose -5*d - 25 - 15 = 0. Let c be k(d). Suppose 2*n + 50 = c*l - 3*n, 5*l - 2*n - 41 = 0. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 527 + -857. Let a = v + 551. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18258?\nAnswer: 2, 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 8)*(2*f**2 + 67 - 36 - 16) in the form z*f + x + n*f**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -36*h**5\/7 + 358548*h**4\/7 - 1158652*h**3 + 19596812*h**2\/7 - 10414136*h\/7 + 1589920\/7 = 0.\nAnswer: 1\/3, 2, 20, 9937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 2\/7*c**4 + 4\/7*c**3 + 0 - 2\/7*c**2 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 + 26. Let h(l) = 9*l**2 - 52. Calculate -6*h(o) - 13*k(o).\nAnswer: -2*o**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -9*n + 143. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c**(1\/2))**1*(c**(-3\/4)*c*c**(-5))\/(c\/(c**5\/c)*(c**(-2)\/c*c)\/c) assuming c is positive.\nAnswer: c**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 12081615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31133 - 11?\nAnswer: -31210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88494003 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(891) + -1 + sqrt(891) + sqrt(891))*1)**2 + 2.\nAnswer: -216*sqrt(11) + 32082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -7*m + 0 + 0*m**3 + 1\/12*m**4 + 0*m**2. Let y(t) = -2*t + t - 3*t + 0*t. Give p(y(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f + 3670*f**3 - 3673*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04898 or -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + n = 4*t - 28, n + 3 = 0. Suppose -2*c = t + 5. Let k(l) = -17*l + 7. Let w(z) = -6*z + 2. Let s(o) = -3*k(o) + 8*w(o). Determine s(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + 6*(-5 + (sqrt(117)*1 + 0 - -1*(sqrt(117) + -1))))**2.\nAnswer: -2160*sqrt(13) + 17748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 + 13*o + 10. Let p(y) = -8*y**2 - 14*y - 11. Let k(z) = -6*p(z) - 7*s(z). Let l be (-78 - -69) + 2 + (-1 - -3). Is 2 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -2. Let b(x) = -x**2 - 5*x + 3. Let g be b(y). Suppose -7*m + g*m = 3*i + 12, -3*m = 9. Does i = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4\/(-3))\/((-9)\/540*-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 3. Let z be i(-7). Suppose 5*c + 38 = -3*a, -z = 2*c - 2*a - a. Let h be (18\/c)\/((-3)\/28). What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552490?\nAnswer: 2, 5, 55249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172322123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 508962*a**3 + 517*a**2 + 173*a + 1?\nAnswer: 3053772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004010416 rounded to 6 decimal places?\nAnswer: -0.000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*w, o = -3*o - 5*w + 2025. What is the greatest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0359 + 4.2119. Let o = d - 0.176. Which is the second smallest value? (a) o (b) 1 (c) -0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223 + -3347\/15. Let o = 78.2 + -98. Let g = o - -20. Sort -5, g, n in ascending order.\nAnswer: -5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 33 = -93 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -70 - 53*t**2 + 375*t**3 + 368*t**3 - 748*t**3 + 135*t - 7*t**2 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:54 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 24 = 3*d. Let n = d - -4. What is the tens digit of (2 + -3)*n + 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -4\/5, 2\/45599, 5 in decreasing order.\nAnswer: 5, 2\/45599, -4\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbubbu. What is prob of sequence uu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 31*g**3 - 2*g**2 + 27. Let d(i) = 16*i**3 - i**2 + 12. Give -9*d(k) + 4*l(k).\nAnswer: -20*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -177964 in increasing order.\nAnswer: -177964, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - 4 + 4)*(0*k + 0*k - k)*((6*k - 7*k - 8*k)*(-4*k + 2*k - 3*k) + 1 + k**2 - 1) to the form d*k**3 + v*k + l*k**4 + y*k**2 + c and give l.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 m when four letters picked without replacement from mmmmmmwwmwm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -1199, -1800, -2401, -3002?\nAnswer: -3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*s - 16*s - 234 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 16. Suppose 0 = -12*k + 8*k + m. Sort -4, k, 5 in decreasing order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 5*p. Suppose 2*l + l + 15 = 0. Let k = l + 2. Is x(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 11*n - 20. Let v(x) = -2*x + 2. Let h(w) = -d(w) - 4*v(w). Determine h(-9).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**6\/15 - 2*d**5\/25 + 3*d**4\/10 + 2*d**3\/3 + 2*d**2\/5 + 2. Factor a(i).\nAnswer: -2*i*(i - 2)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*u + 4*c - 3, 5*c - 15 = 0. Let p be (-2)\/(-11) + (3690\/(-55))\/6. Let h = u - p. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -3) + 6 + 1 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o\/(o\/(o\/o**(1\/4))))\/o)**(1\/29)*((o*o**(2\/49))\/o*o)**(7\/6))**35 assuming o is positive.\nAnswer: o**(5175\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 4*f - 2 - 4*f. Let m be v(-2). Let c = 7 + -5. Is c at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + z - 6. Let w be d(0). Let r = 5366 + -64277\/12. What is the common denominator of (-2)\/w*(-59)\/(-4) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60714?\nAnswer: 2, 3, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37\/7 - 6\/21. Suppose -62 = -2*l - 5*h, 5*l = -q*h + 45 + 80. Let m be 26\/(-7) + 4 + (-6)\/l. Is -1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 10:22 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -2, -3\/61, 41, -2\/15?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 1. Let w(k) = 1. Let z(g) = -4*a(g) - 4*w(g). Let l be 1 + 10 + -3 - 1. Let t(h) = 3*h**2 + 1 - l + 6. What is t(z(s))?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3324.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 75*k**2\/4 + 177*k\/2 - 70.\nAnswer: (k - 70)*(k - 4)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1, 0.062828727?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 86*h. Let b(x) = 3*x**2 - 85*x. Give 4*a(l) + 3*b(l).\nAnswer: l**2 + 89*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -32*i**2 - 444*i. Let a(w) = 31*w**2 + 437*w. Let z(l) = -7*a(l) - 8*d(l). What is the second derivative of z(b) wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50 - (89 + -43)) + -20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/9, -1\/6, 5\/7, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -4585409867?\nAnswer: 4585409867.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 273290209 to the power of 1\/2, to the nearest integer?\nAnswer: 16531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4038 + -4037.205. Which is bigger: -2\/9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146 times -0.4?\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.047977 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 1, m: 1, h: 2}. Give prob of sequence mlt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 37) + -120 + 170.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3255 + 1088 + 1092 + 1089 - 1380*t.\nAnswer: -1380*t + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -343 (c) 1 (d) 5 (e) -0.3 (f) 0.3 (g) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1318)\/(-132) + (-21)\/6*(-600)\/(-210)?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p - 29*p - 29*p = -35. Solve g + 2 = 15*z - 14*z, 0 = g + 2*z + p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 12*u**2 + u - 8. Let p be f(12). Let h be (-23319)\/15 - p\/10. Let d = 4188 + h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667452173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 24*p**2 + 23*p + 52. Let h be m(25). Let w(j) = -85484 - 3*j**h + 85484. Let x(a) = 249*a. Give w(x(u)).\nAnswer: -186003*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 4*l + 42. Let x be j(5). Let v = 143 + -95. Let d = x - v. Is -0.1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b. Let f(l) = -31*l. Determine z(f(j)).\nAnswer: 279*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*c - 2, 2*h + c = h. Suppose 0 = f - 4 + 2. Let b = f - 3. Put 1, h, b in descending order.\nAnswer: h, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = j + 2*b - 18, -4*j + 100 = -2*b. Let i = -16 + j. Calculate the smallest common multiple of 1 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 748 - -378. Suppose m - 778 = -5*w + 637, -2*m = 4*w - o. What is the remainder when w is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269.1496ml to litres.\nAnswer: 0.2691496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 - 180. Suppose -v - 30 + 124 = 2*y, f*y + v = 142. Suppose -2*a = 2*a - 48. Calculate the greatest common factor of y and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2052\/(-285))\/(14\/(-10) + 1). Suppose d*f - 792 = 16*f. Does 99 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 2036 + 2036 + 3*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*q**3 + 1\/3*q**4 + 1\/3*q**2 + 0*q + 0.\nAnswer: q**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171937933, -343875868, -515813803, -687751738?\nAnswer: -859689673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from cyjscsycssbync?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4634 and 1330?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8784 and 1169370?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.002 - 6.012. Let b = -22.1 + i. Round b to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from ounxeiu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 20 + 22 - 1 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Let x(k) = 2*k + 1. Let f(v) = -h(v) + x(v). Suppose w + 0*l - 11 = -2*l, -l = -w + 14. Let y(j) = 8*j + 2 - w*j + 9*j - j. What is y(f(q))?\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320\/7 - 184\/7*h + 12\/7*h**2.\nAnswer: 4*(h - 2)*(3*h - 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 268, 16, 4 in decreasing order.\nAnswer: 268, 54, 16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 + -0.33. What is the second smallest value in 84, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/5 (b) -2\/7 (c) -2\/3 (d) -13 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4347?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**9\/15120 + j**8\/2240 + j**7\/1260 + 5*j**4\/12 + 5*j. Let t(q) be the third derivative of c(q). Factor t(f).\nAnswer: f**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*l**2 - d*l*y - 593*d*y + 9*d + 4*l**2*y - 2*l**2 + 11*y - 26 wrt d?\nAnswer: -2*l**2 - l*y - 593*y + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + ((sqrt(280)*-2)\/sqrt(10) - sqrt(28)) + sqrt(28))\/(sqrt(4) - sqrt(396)\/sqrt(11)) + -6*(sqrt(700) - -1*sqrt(700)) + sqrt(700) + 0 + 5)*3.\nAnswer: -657*sqrt(7)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 - 60 = -5*x, -5*o - 36 = x. Solve -7 = -r - 3*z - 0*z, -x*r - 2*z + 18 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*x - 9. Calculate the greatest common divisor of x and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -1235*w**5\/4 - 2693*w**2 - 2577*w. Differentiate s(j) with respect to j.\nAnswer: -18525*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -109, -162, -213, -262?\n\"Answer: b**2 - 58*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/545 in -3, 3, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttztztzztiiizittit. Give prob of sequence tzi.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f + 1. Let c be x(-4). Let u = 12 + c. Let t(y) = 3*y**2 + 4*y + 2. Let d(q) = q**2 + q. Let p = 2 - 3. Give p*t(i) + u*d(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/3 (b) 23 (c) 0.4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 - 2\/5. Factor 2*d**3 + x*d - 6*d**2 + 5*d**4 - 4*d + d**4 + 2*d**3.\nAnswer: 2*d*(d - 1)*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 174\/(-255) + 6*(-6)\/(-45). What is the closest to 2\/5 in k, -4, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*j**4 - 35 + 35 + (j**3 + j**3 - 4*j**3)*(j + 0 + 0).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 5*z**3\/6 + 17*z + 28. Let x(d) = -52*d**2 + 3*d. Determine x(k(u)).\nAnswer: -1300*u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18125.64 years to decades.\nAnswer: 1812.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x - 427. Calculate b(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -18. Let x be 33\/27 - (t - 3). Which is the nearest to 2? (a) 0 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13007, -25911, -38815, -51719?\n\"Answer: -12904*l - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/((-8232)\/(-72)))\/((-1)\/(-28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106357793 a multiple of 2537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**2*r + 559*n*r - 2*n + 3*r - 2888694 wrt n.\nAnswer: 8*n*r + 559*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 8 - (-45 + 44) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-135)\/(-126) + (-20)\/35. Let h = -501 - -505. Factor -1\/4*g + y*g**h - 1\/2*g**2 + 0*g**3 + 1\/4*g**5 + 0.\nAnswer: g*(g - 1)*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3))\/g*g)\/(g**(-3\/7)\/g)*g**(-1\/13)\/(g**(3\/5)\/g) assuming g is positive.\nAnswer: g**(-113\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1241, -2483, -3725, -4967, -6209?\nAnswer: -7451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 8:59 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -27*m. Let t(v) = 2677363*v**2. What is d(t(k))?\nAnswer: -72288801*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8030923?\nAnswer: 193, 41611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -42, -73, -138, -249, -418?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 4457.\nAnswer: 21\/4457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + q + 51, 3*i + 5*q + 147 = -0*q. Let f be 312\/i + 6 + (-286)\/(-9). Is 32 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147.19 - 147.29. Which is the biggest value? (a) 5 (b) y (c) 0.01 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3 + 248*g**5 - 241*g**5 - g**2 - 111*g**2 wrt g.\nAnswer: 420*g**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17170.953 - 17155. Let r = 2.443 - t. Round r to 1 decimal place.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2, 0.09, 2\/7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 347893259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 3. What is s(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83528120849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 162 in 0.1, 0.0383, -0.1, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + 1 + -14 + 23 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*d**5 + 441380*d**4 + 2*d**3 + 535*d**2 - 7*d + 2113.\nAnswer: -9780*d**2 + 10593120*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-49)\/(-4))\/(610\/120 - 5). Let o = g - -112. Calculate the greatest common divisor of 74 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**3 + 6005*l**2 - 24080*l + 24100 = 0?\nAnswer: -1205, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -79\/92?\nAnswer: -79\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**3\/6 + 5*l**2 + 10*l. Let u be c(-5). What is the units digit of u*(1 - 288\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -94 + 69 - (14 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.68 - 2.036. Let u = r - 229.444. Let o = -260 - u. What is o rounded to zero dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*z = -0*z, l = 5*z. Let u = 3 - l. Let n(g) = g - 5. Let s be n(7). Solve 3*q = 2*h - 1, 0 = -h + s*q - 2 + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/65320 and 21\/20110.\nAnswer: 131358520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 428 + 1462. List the prime factors of d.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 199*b - 75. Let w = 128 + -118. Is x(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1628 or -46\/7?\nAnswer: -1628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.1 * 45.\nAnswer: -229.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 4788*j**2 + 446488*j + 441696.\nAnswer: -4*(j - 1284)*(j + 1)*(j + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34123, 1, 218, -3.\nAnswer: -34123, -4, -3, 1, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q**(-5)\/q))**1*(q**(-1\/3)*q)**48\/((((q*q\/(q\/q**(1\/5))*q)\/q)\/q*q)\/(q*q**(-2\/21))) assuming q is positive.\nAnswer: q**(3749\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 409\/6. Let m = 8.6 - 8.2. What is the closest to -2 in m, -3\/8, h?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 16078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86 + -23?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, z: 4, f: 3, b: 2}. Give prob of sequence zb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.2 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:09 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 3*a**2 + a + 3. Let c be x(-2). Suppose -58 = -4*b + 5*o, -3*b + b + 24 = -c*o. Solve -4*f - b = -1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (-53 + 8 - -52).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*v - 215 = 182*v. Suppose -5*w - 205 = 2*r - 3*r, -w + 4*r = 22. Let a = w + v. Calculate the remainder when 3 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3))**(-1\/46)*(j**2)**(-4\/9))**(-1\/23) assuming j is positive.\nAnswer: j**(365\/9522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3772 and 198973.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -20 (b) -0.1 (c) 2\/15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-10)\/(-3) + (-4)\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrllrlllrlrlxrlllxr. What is prob of picking 2 r?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 43. What is the third biggest value in -1, h, 1\/5, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbbbneeebenen. Give prob of picking 3 e.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x. Let j(u) be the first derivative of u**3\/6 + 33*u + 33. Let m(k) be the first derivative of j(k). Calculate m(p(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268744890?\nAnswer: 2, 3, 5, 31, 288973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 111429900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 292, 11, 2, -5, -4.\nAnswer: -5, -4, -3, 2, 11, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3 - 429*i**2 - 47*i - 50601 wrt i?\nAnswer: -3*i**2 - 858*i - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 155*((3 - 0) + 8\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131135094 to the power of 1\/2, to the nearest integer?\nAnswer: 11451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1530\/425*(-50)\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -330, -1336, -3014, -5364, -8386, -12080?\n\"Answer: -336*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.156 - 0.024. Let r = -0.99 + -0.01. Are o and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157 is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(-12)\/(-156))\/(-2). Let -1\/5*r**2 + 1\/5 + k*r = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281834 + -61969. Suppose -16*n + 49207 + q = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.624935947 to 5 decimal places.\nAnswer: 1.62494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/127)\/o*o\/(o\/o**(-2\/13)) assuming o is positive.\nAnswer: o**(-1879\/1651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 0 - 10*4\/8. Let m(n) = 4*n - 1. Let k(r) = -3*r + 1. Determine a*m(q) - 5*k(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120521*j + 40581*j**2 + 120521*j.\nAnswer: 40581*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = t + 890*m - 888*m, -3*t - 4*m - 28 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**5\/4 - 35*u**4\/2 - 265*u**3\/4 + 2305*u**2\/2 - 880*u - 2080 = 0.\nAnswer: -8, -1, 2, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 7. Let h be v(-7). Let j = 8 - h. Let c = j - -70. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*i - 16, 4*u - 5 = -5*i + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1398*g = 1391*g + 70. Solve 14*r + g*r + 48 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, h: 1, x: 1, q: 2}. Give prob of sequence qh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, v: 1, m: 4, j: 2}. What is prob of sequence umvu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o - 4*g + 79, -3*g = 12. Let f = o + 44. Suppose -5*m + f = -37. What is the highest common divisor of 100 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(2\/7)*a*a**7*a**(-2)*a**(2\/17)*a**(1\/3)\/a**(1\/4)*(a**(1\/3)*a)**(-1\/10) assuming a is positive.\nAnswer: a**(18521\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -c. Let n = -1.3 + 1. Let t = -1.63 - -2.13. What is the second smallest value in n, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q. Let y(c) = 7*c**3 - 2*c**2 + 6*c + 32. Let b(i) = y(i) - 6*z(i). Let r be b(0). Suppose -20 + r = 3*s. Solve 2*j + 2 = -s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22101200 (base 3) to base 8.\nAnswer: -13750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429272 is divided by 8244.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -0.1. Let o(c) = -3*c**2 + 12*c - 1. Let t be o(4). Let a be ((-48)\/36)\/(3\/(-9) - t). What is the closest to r in -0.1, 0.4, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 40*o**3 + 11*o**2 - 11*o + 14. Let g(p) = -13*p**3 - 4*p**2 + 4*p - 5. Let m(x) = -17*g(x) - 6*w(x). Let d be m(1). Let l = d - -41. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2 = 2*m. Let j(w) = 5*w - 2*w - 4*w - 1. Let l(i) = -2. What is m*l(o) + 2*j(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 20 = -4*c, -2*c + 15 = -2*h + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 0*n + n - 7*n. Let y(t) = t. Give j(y(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-15 - (-5 + -15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.5 - -3.5. Let p = -46 - s. Which is the second biggest value? (a) p (b) 0.5 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 * 1\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*w = 34 - 49, 0 = 2*w + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 910)*(-8)\/(-3634) + -2. Let c = p - 157975\/94484. Find the common denominator of -71\/4 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92833632109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 529930 and 10760?\nAnswer: 2119720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/4)\/(1\/(-4)). Let p = 7 - x. What is the third derivative of r**2 - 2*r**2 + 2*r**4 + p*r**4 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14\/13, -1, -0.19, -3 in descending order.\nAnswer: 5, -0.19, -1, -14\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6*g + 3 = 0. Suppose 4*v = -2*h + 44, h + 1 = -5*v + 23. Suppose h = 10*j - 8*j. Solve -2*p - g = -j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -16. Let i = -37 - m. Let x = 0.3 - 0.1. Which is the third smallest value? (a) -2 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k**3 + 345*k**3 + 79*k**3 + k**2 - k**2 + 339*k**3.\nAnswer: 658*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/11)*v**(-6))\/((v**3*v)\/v*v*v**(-2)))**(-43) assuming v is positive.\nAnswer: v**(3870\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111144043 (base 5) to base 8\nAnswer: 1676033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23159.\nAnswer: 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r**5 - 200*r**4 + 125*r**3 + 1600*r**2 - 2700*r + 720 = 0. What is r?\nAnswer: -3, 1\/3, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403853 is divided by 344?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((2 + sqrt(325) + -1 - sqrt(325))*1 + 1))**2*-3.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 1. Suppose 0 = -0*z - z + 5. Suppose -x = -z*x + 20. Let c(s) = -79 + 153 + 36*s**2 + 2*s - 80 + 29*s**2 - 59*s**2. Determine x*h(d) - c(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 + -163. Let s = o + -70. Solve 0 = s*b - 5 - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h + 29*h - 14*h + 5. Let b(a) = -3*a - 4. Calculate -3*b(l) - 2*d(l).\nAnswer: 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*i = 97*i + 108. Solve 2*w = 6*w + 2*y + i, w - 2*y + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 801143373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 11) to base 13.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (2 + (-1 - 4)). Which is bigger: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.75343*45.\nAnswer: 123.90435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 23 - 1)*(w + 0 + 0)*(1 - 1 + 2)*(3*w**2 - 4*w**2 + 2*w**2).\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*s**3 + 124*s**3 + 3 + 113*s**3 - 3.\nAnswer: -51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4165.\nAnswer: 416.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596613485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.049 or 3334.6?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 2*y - 25. Give t(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 102*g**2 + 221*g + 476. Give w(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -232 + -212. Let x = -441 - h. What is the smallest value in 0.08, x, 4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 283, 750, 1451, 2392, 3579?\nAnswer: 5018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -7 - (2*47\/3)\/8?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**3\/3 - 91. Let a(z) = -18*z. What is g(a(u))?\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 36. Suppose -11 = -4*l + t. Solve 9 = -q - 3*f, -f - l + 0 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 27 = -2*v + 37, 4*v = 3*g - 28. Let r be 10\/(-4)*g*14\/(-42). Calculate the greatest common factor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 4 = 10*y. Let x = 3.79 - -0.21. Which is the smallest value? (a) -5 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - y + 12, -4*q + 4863 = -5*y + 4828 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2) + (-6)\/(-2). Let y be 5\/r*(0 + 1). Factor -11*q**5 + 7*q**y - 3*q**2 - 5*q**2 + 14*q**4 - 8*q**3.\nAnswer: -2*q**2*(q - 2)**2*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*f*j*r**4 + 105*f*j*r + 6*f*r**4 + 63*f - 2*j*r**2 + r**2 wrt r?\nAnswer: -3504*f*j*r + 144*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4*(-4 + -2 + sqrt(208)) - (1 + sqrt(208)*2*-1)))**2.\nAnswer: -1248*sqrt(13) + 8164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 5*z + 11. Suppose 6949*d = 6964*d + 150. Calculate j(d).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -22*y**2 + 59*y - 9. Let t be u(8). Let f = t + 963. What is the greatest common divisor of 279 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1055\/9 + 117. Let c be (0 + 4)*6\/(-4). Let m be -1 + (-2)\/28*c. What is the third biggest value in 4, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 5*y - 6 = -l, 2*y = -4*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8*(-10072)\/(-2816) + -6 - 21 and 14\/(-12)*(-65)\/154?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7344*c**5 + 26004*c**4 - 62128*c**3 - 41524*c**2 + 6064*c - 80 = 0 for c.\nAnswer: -5, -2\/3, 1\/68, 1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 658 + 712. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:55 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 13*a - a**3 - 3*a**3 + 8*a as d*a + r*a**3 + c + v*a**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z**5 + 1055*z**4 - 38230*z**3 + 512380*z**2 - 1306280*z - 786080 = 0 for z.\nAnswer: -1\/2, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 - x**2 - x. Let q be t(-1). Let n = 14 + q. What is the lowest common multiple of ((-3)\/4)\/((-1)\/8) and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) -2\/1105 (b) -2\/5 (c) -19\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/120 - 7*y**5\/60 - 5*y**4\/24 + y**3\/3 - y**2. Let b be j(-6). Let v = 34 + -39. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + 6\/4*-2. Suppose 71 = a*d - 297. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -17. Solve -b + 19 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -967524, -967527, -967532, -967539, -967548?\nAnswer: -967559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/16 of a week?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q + 296. Let b = q - -180. What is the remainder when 63 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 270. Suppose 0 = -2*r - 4*k + 42, 3*r = -r - 5*k + 75. Calculate the greatest common factor of i and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18261695 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2318219 or -2318238?\nAnswer: -2318219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 4*n - 4. Let h be y(4). Suppose 4*a = -3*l + 16, -8*l + 20 = -5*l + 5*a. Suppose 9*s + l - 27 = 0. Put s, -1, h in decreasing order.\nAnswer: s, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -316 - 12054*p + 6021*p + 5993*p to k + n*p and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:19 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581, -2010, -4385, -7700, -11949, -17126?\nAnswer: -23225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*k - 0*s - s, -2*k - 5*s = -2. Let j(p) = 3 - 4 + p**3 + 7*p**2 - 3*p**2 - p. Determine j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85988, -85924, -85860, -85796, -85732, -85668?\nAnswer: -85604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/88)\/((-49)\/(-392))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 10*h. Let a(x) be the second derivative of -2\/3*x**2 + h - 1\/18*x**4 - 2*x - 1\/3*x**3. Solve a(n) = 0 for n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/52 (b) -12\/7 (c) 35\/11 (d) 1.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 0*j + 0 - 1\/3*j**3 + 0*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 12\/(-60)*-10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -2*c**6\/105 + 6*c**5\/7 - 64*c**4\/7 - 1024*c**3\/21 + 161*c + 3. Solve g(w) = 0.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/8 - 83*k**3\/8 - 255*k**2\/8 - 257*k\/8 - 43\/4 = 0 for k.\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*o - 2*v, 1 = 3*o - 3*v + 4. What is the least common multiple of 8 and 8*(2\/o - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3425 - -6853\/2. Which is the closest to t? (a) -1 (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 9) in base 6?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.7, 4, 2\/9?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ewsewmssmseuegmwe.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, 7, -672, -0.06.\nAnswer: -672, -0.06, 1\/6, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3*z**5 + 2*u**3 - 2*u**2*z + 12199*u + 49008*z**5 - z wrt z?\nAnswer: -20*u**3*z**3 + 980160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -224, -603, -1002, -1427, -1884, -2379, -2918, -3507?\n\"Answer: -z**3 - 4*z**2 - 360*z + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from hmhsssshhh?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3)*(-1)\/(-2). Let w = 1.45 - 0.45. What is the nearest to w in 1, b, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1132b3 - -41?\nAnswer: 113324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1986 + 1989. Solve 0 = -h + 3*n + 15, 0 = k*h - 2*n - 5 - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2206*x - 3961. Is k(159) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 10. Let v = x + -6. Let q = 8 - v. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -n + 4*x + 4, 4*n - 4 = -4*x. Suppose -5*b = 3*k - 21, -5*k - 4*b + 21 = -1. Solve n = v - k + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 1:55 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/216080 and -61\/54.\nAnswer: 5834160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**3 - 6*y**2 - 3*y + 7. Let d(t) = -23*t**3 + 17*t**2 + 8*t - 20. What is -6*d(c) - 17*l(c)?\nAnswer: 2*c**3 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/14)*h**(6\/5))**(1\/9)\/((h**0)**(-6)\/(h**6\/h**(-1\/5))) assuming h is positive.\nAnswer: h**(799\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:29 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 14 - 5*b - 35*b - 91*b.\nAnswer: -126*b + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 + 32*r**3 - 14*r**3 + 33*r**3.\nAnswer: 41*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 223, -42 in descending order.\nAnswer: 223, 8, 5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-350))\/(2\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4125*j + 3408. Let w(t) = -2063*t + 1717. Let v(i) = -6*b(i) + 13*w(i). Find the first derivative of v(p) wrt p.\nAnswer: -2069","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*n - 12, 18*n - 26*n - p + 48 = 0. Solve -s - 3*f = -3, 20*f - 17*f = n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a + 313?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f - 158. Give c(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 15 - (-23 - -22). Let v be 28\/6 - (-5)\/15. Suppose 3*h - 26 = -4*s + 18, -2*h + 34 = v*s. Calculate the greatest common factor of a and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + b**3 - 61*b**2 - 18*b**2 - 23 - 19*b**2.\nAnswer: b**3 - 105*b**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 2*k**2 + 2*k**2 + 10 - 3. Let r be p(-4). Let t(g) = -g**3 - 10*g**2 - 10*g + 2. What are the prime factors of t(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 - 4*t**2 + 3*t + 12*t**2 + 20*t**2.\nAnswer: 21*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 14*v + 206 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1254 and 103\/20.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189\/187 or 2?\nAnswer: 189\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 32199*v**3 + 12*v**2 - 20*v. Let k be c(10). Suppose -27*u = -7*u + k. What is u rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by -128\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -k - 3*n, -4*k + 52*n - 48*n = -68. Let i be 58\/6 - (-6)\/(-9). Suppose -4*t = i - 41. Calculate the highest common factor of k and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 364 + -362. Suppose -v*o + 160 = -r + 660, -r + 488 = o. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 3*g**3 - g**3 + (3 + 2*g - 3)*(-4*g**2 - g**2 + 6*g**2) + 2*g**3 - 4*g**3 + 4*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 2*b - 2*b)*(b - 3*b + b) + 51*b**3 + 21*b**2 - 21*b**2 + 2*b - 2*b - 2*b**3 in the form w*b**2 + y*b + i + q*b**3 and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7910 by -5.\nAnswer: -1582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 269698 and 1066?\nAnswer: 269698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 19*i + 301. Let f(g) = -2*g**2. Calculate a(f(l)).\nAnswer: -4*l**4 - 38*l**2 + 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 12*m + 40. Let g be r(5). Let l(s) = s**3 - 4*s**2 - 7*s. Calculate l(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1 + 0)*0. Let a(g) = 3*g + 29. Let r be a(-10). Sort r, z, -2 in ascending order.\nAnswer: -2, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p**2 + 4*p. Let l(z) = -z**2 + 3*z. Determine -3*l(v) + y(v).\nAnswer: -9*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 + p**3 - 4*p**3)*(4*p + 1 - 1) to k*p**3 + m*p**4 + n*p**2 + b + z*p and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*b - 0*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 14 = -3*q + 3*u, -5*u = 0. Calculate the greatest common factor of 42 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1383042\/5 or 276608?\nAnswer: 1383042\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66208*u + 33211*u + 0 - 19*u**3 + 0 + 32997*u.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 219\/(-876) + (-1)\/8*-1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2726 = 134*z - 40*z. Let t be ((-2)\/4)\/(2\/(-8)). Let g be (-1)\/(-1) - (-8)\/2. Solve i = -g*l, -t*i + 4*l + z = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -63. Let k = q + -27.11. Let h = 102 + -104. Is k greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295038832*w**2 + 932486735*w.\nAnswer: 590077664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2416 and 2235159984?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 5*f**2 + 6*f - 2. Let m(g) = 4*g**3 + 21*g**2 - 25*g + 9. Let p = 3453 - 3444. What is p*q(y) + 2*m(y)?\nAnswer: -y**3 - 3*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1300) - sqrt(1300))*3 - sqrt(1300)) + -4 + (sqrt(1300) + (sqrt(1300)*2 - sqrt(1300)) - sqrt(1300))*-3 + (sqrt(1300) + 1)*-1)**2.\nAnswer: 200*sqrt(13) + 32504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q + 10*q - 18*q + 19 - 3. Let w be j(6). Let r be (w\/2)\/(1 - -19). Which is the biggest value? (a) r (b) 5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*g + 240, -g + 95 + 53 = 3*o. Let w be 6\/10 - o\/(-35). Solve -3*a + w*h - 11 = 0, a + 4 = -2*h + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/2 - 7*c**4\/2 - 32*c**3 + 14*c**2 + 120*c = 0. Calculate c.\nAnswer: -5, -2, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62073255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, -2, -5, -7, 4, -4, 2 in descending order.\nAnswer: 4, 2, -2, -4, -5, -7, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 53*x**2. Let s(i) = i**2. Let r(g) = -3*g**2. Let h(o) = -r(o) - 4*s(o). Determine h(q(w)).\nAnswer: -2809*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2913086 divided by -22?\nAnswer: 132413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2 + 7*f**2 + 4 + 2. Let o(y) = -5*y**2 - 2. Let u(j) = -17*o(j) - 6*r(j). What is the derivative of u(m) wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121325 and 299831.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11865 and 54014.\nAnswer: 5671470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**7\/840 + n**6\/60 - n**5\/24 - n**4\/6 - 13*n**3 + 4*n**2 + 3. Let m(k) be the first derivative of l(k). Determine m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 6*r**2 - 58. Let x be v(7). Find the common denominator of ((-195)\/40 - (x + 4))*-3 and 3\/67.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*l + 2*l + 4, -5*d = 5*l - 25. Suppose -d*f = -3*j - 98, -3*f + 266 = 2*f + 3*j. Suppose 0 = -3*c - c + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 - 1. Let m be d(-1). Suppose h - 4 - 4 = -m*n, 2*n - 3*h - 4 = 0. Solve 5*k = n*q + 15, -4 = -3*k + q + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 476.79 and -0.4647408.\nAnswer: 476.3252592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 9, 1\/5, 0, -308, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 12*d - 8. Let u be j(10). Let g = u + -9. Suppose 0 = -f + g*f + 2*l - 2670, -2*l - 5370 = -4*f. Round f to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 132731 = -2*j, 5*j - 53384 = -5*f + 167821. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b1a + 25?\nAnswer: b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 31, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 7*r - 7*r)*(-9 + 4 - 13) + (-4*r + 2*r + r)*(4*r - 4*r + 10*r) - r + r + r**2 - r**2 + 3*r**2 - r**2.\nAnswer: 82*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -1591, -3985, -7361, -11713, -17035, -23321, -30565?\nAnswer: -38761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/((-8)\/(-2180)*5). Let z be 6 + (-208)\/34 - i\/34. Suppose 0*l = 5*l - 45. Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0*t = -5*o - 10, 4*t - 13 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 50*t + 62. Let a(r) = 17*r + 21. Let c(m) = -17*a(m) + 6*i(m). Differentiate c(f) with respect to f.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 3 = -15*w + 2*s, -2 = 4*w - s. Is 2\/247 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12*z - 9. Let u be j(-1). Let c(h) be the first derivative of 0*h**u + 5 + 5*h - 1\/2*h**4 + 0*h**2. What is the derivative of c(b) wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*p + 232*p**3 - 76*p**3 - 3*p**2 - 78*p**3 + 3 + 0*p**2 - 80*p**3 to the form j*p**2 + z + c*p + y*p**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose -w - m + 1 + 25 = a, -w + 14 = -5*m. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165 - 165. What is the closest to q in -1\/3, 2, 6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -407183, 1, -1 in ascending order.\nAnswer: -407183, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (146\/(-2409))\/(824\/(-264))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7360*a = -2*x + 7356*a + 8, 2*a = -7*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n - 103*n + 36*n + 11*n + 35*n.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -246848 (base 11) to base 6\nAnswer: -12204012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-23)*((-1)\/(-4))\/1*(-1825)\/(-365)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221676 and 22620?\nAnswer: 1108380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8 - 13. Suppose 0 = 4*a + 2*z + 36, 0 = 5*a - 5*z - u + 82. Let w = -3 - a. What is the highest common factor of w and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12905708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -5293.4244.\nAnswer: 10586.8488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**6 - 3*d**3*i*w**2 + 3*d**3*w**2 + d**2*i - 2*d**2*w + 5*i - 2*w**2 wrt d.\nAnswer: 120*d**3 - 18*i*w**2 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3700000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (6*sqrt(102)*-3)\/sqrt(6))*-2.\nAnswer: -108*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 420*n**2 + 128974*n - 3715. Determine w(206).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28801*f - 28790*f = t - 81, 2*f + 30 = 4*t for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 59, -4449?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 6*q**2 - 8*q - 3. Determine j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + 7 - 26*j.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 1. Which is the second smallest value? (a) 1\/2 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942929381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 2*t**3 - 28*t**2 - 2*t**2 + 0*t**3.\nAnswer: -2*t**3 - 35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 22. Suppose 8*u - 80 = -g + 3*u, 171 = 2*g - u. What is the remainder when g is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5882454 divided by 9?\nAnswer: 653606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-996)\/(-21) + (-12)\/(-21). Calculate the greatest common divisor of 128 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 5 (c) -53267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = 2. Let t(o) = 14*o**2 + 6*o - 17. Let g(z) be the second derivative of 5*z**4\/12 + z**3\/3 - 3*z**2 - 7*z. Give x*t(b) - 17*g(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 3*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 120 = 3*g, -5*s - 67 = -3*g + 23. Let y = g + 65. Find the third derivative of 100*k + 9*k**2 + 12*k**3 - y*k wrt k.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252 + 262. Let j = -9.9 + y. Which is the closest to 2? (a) 2\/13 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 1.57\nAnswer: 0.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -48, -73, -106, -147, -196, -253?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1613475369 - 43984952061316\/27261. Let w = x - -5\/16776. Calculate the common denominator of -57\/44 and w.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417597.9609843 - 417598. Let v = -0.039 - p. Round v to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59659, -119317, -178975, -238633?\nAnswer: -298291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(605))*6 + -2 + sqrt(25)\/(sqrt(20)\/sqrt(4)) + -2 + 1)**2*-1.\nAnswer: -22526 + 1206*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 + 92*y**2\/9 - 22*y\/3 - 16 = 0. Calculate y.\nAnswer: -8\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5860832 = 7*f + 1895168. Round f to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - z - 115, -2*z - 54 = -3*d + d. Suppose d = a - 4*k, -3*a + k + 13 = -9. Find the second derivative of -b + 9*b**3 - 4*b**3 - a*b wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 - 10*h**2 - 23*h - 13. What is the hundreds digit of f(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5 - -4.9. Which is the third biggest value? (a) 0 (b) r (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214376\/13 > 93414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13\/3 (b) -2 (c) 1661 (d) -1 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*s + 95, -s = l + 2*s + 37. Let q = l + 57. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74191695270.000000205 + -74191695480. Let o = p + 210. What is o rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**4 + 5*c - 5*c**4 + 6 - 4*c**4 - 6*c**4. Let h(f) = -15*f**4 + 6*f + 5. Let u(w) = 5*g(w) - 6*h(w). What is the second derivative of u(x) wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6135369 divided by -239?\nAnswer: 25671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114251011 (base 6) in base 7?\nAnswer: 24300646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2123223110?\nAnswer: 2123223101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6074*a**3 - 6774*a**3 + 12602*a**3.\nAnswer: -246*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 + 34*q + 168. Let c be f(-6). Suppose 0*j = 5*j - 60. Solve 2*m + c*k - k + 12 = 0, 4*k - j = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 + 28*n**3 - 222*n**2 + 364*n - 169 = 0 for n.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -655997 + -4?\nAnswer: -65599b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -68*u**4 - 28*u - 8. Let r = 379 + -378. Let c(s) = s**4 - 1. Let g(t) = r*x(t) - 8*c(t). What is the second derivative of g(j) wrt j?\nAnswer: -912*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 7*z - 3. Let p = 4 + -2. Suppose 10 = -4*f + p*f. Let w be c(f). Solve 10 = -2*s + w*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlslsll. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1673 - 1658. Solve 516*r + g = 521*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1201 in 0.1, 1, 5, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/11 and 11\/7985.\nAnswer: 87835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + s + 5. Give p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120886541\/2478 + 292705\/6. Let d = 2\/59 + v. Factor 0 + 2\/7*a**2 + d*a.\nAnswer: 2*a*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(17)*-2 + 0 - (sqrt(68)\/sqrt(4) + -1 - sqrt(17)) - (sqrt(2057) + 3*sqrt(2057)*2)))**2.\nAnswer: 474*sqrt(17) + 106106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248 + -239. Calculate the greatest common divisor of r and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87491727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 6. Suppose o*h = -85 + 1170. Let d = h - -14. What is the greatest common divisor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 2*n + 57. Let m(i) = -32*i. Calculate m(p(t)).\nAnswer: -384*t**2 - 64*t - 1824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 20 = 5*s, -12 = -2*s - s - 3*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 7*v - 2. Let j be -2 + (0\/(-2) - 3). Let l be z(j). Let x = 6 + l. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.5219 - 4873?\nAnswer: -4242.4781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/48*(-51)\/2*1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - c - 2 - c + 4*c - 6*c + (-2*c + 1 - 1)*(0 + 0 + 2) - 1 + c + 1 - 1 + 1 - c - 5*c - 1 + 1 + 0*c + 0*c + 2*c in the form v + n*c and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1852 = -5*i, 2*i - p + 6*p - 734 = 0. Suppose -5*q + 0*v + 4*v + i = 0, 5*q - 2*v - 366 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 89*a + 909. What is w(11)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 - -32.1?\nAnswer: 2260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 16192.\nAnswer: 80960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-2) + (-2)\/4. Let b(h) = 4*h**2 + 2*h - 1. Let z be b(1). Solve -5*p = -z*f, -3*f + a*f + 5*p - 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49389, 49329, 49247, 49143, 49017?\n\"Answer: -11*b**2 - 27*b + 49427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1154 (base 7) to base 16\nAnswer: -1af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12*i**2 - 15*i + 7. Let v be b(-11). Let u(f) = 564*f + 1. Let x be u(-2). Let p = v + x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327 - 6*z**3 + 336 + 5*z**3 + 0*z**3 + 446.\nAnswer: -z**3 + 1109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.006588 (c) 3\/7 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 + 20463*g**2*z + 2*g**2 - g - 39254*z wrt g.\nAnswer: 6*g + 40926*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188219*r**3*t - 6429*r**2 + 7*t wrt r.\nAnswer: 1129314*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 12 + 1 + 39*t**2 - 22.\nAnswer: 39*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29072 and 3592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose 2*x - 2 + 6 = -4*l, -6 = 3*x. Solve l - v = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - n**2 - n - 5. Let b be k(2). Is -44 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231755\/39 - 5943. What is the common denominator of l and -99\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:51 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1 - 2\/(-4)). Suppose 4*u - 8*u - w + 13 = 0, l*u = -4*w - 4. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -305 - -161. Let v = -229 - f. Let a = -60 - v. What is the remainder when 73 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -19. Calculate the remainder when 77 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 282, 565, 952, 1425, 1966, 2557?\nAnswer: 3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5462 in descending order.\nAnswer: 5462, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.67418g in milligrams?\nAnswer: 90674.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m + m - 3*m + (-1 - 3 - 2)*(4*m - m - 2*m + (2 + 0 + 0)*(-2*m + 0 + 0) + 3*m + m - 2*m + 3*m - 2*m - 2*m - m - 3*m + 3*m) + m - m - m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -10*p + 9*p. Let d(n) = -n**3 + n**2 - 4*n + 7. Let v be d(2). Which is the nearest to 4\/7? (a) p (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000514507341 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75017723*l - 99719495 wrt l?\nAnswer: 75017723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from bbbbhbbbrhsasbsasbsb.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 18 - (-35 + 20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29162449 + 71439449. Round t to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v - 986 + 864 = -4*p, 0 = -3*v + 2*p - 30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8788602 millilitres?\nAnswer: 0.0008788602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-12)*m*m\/m**(-1\/65) assuming m is positive.\nAnswer: m**(-649\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 132.49 (c) -2.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 12*m**2 + 135*m - 819. Give w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/2 - 4) + -10 + 687. Suppose 4*f + 2*v = a, 33*v = 5*f + 35*v - 844. Calculate the highest common divisor of 126 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3 - 5*g - 8. Let k(m) be the first derivative of x(m). Let n(i) = 2*i - 4*i + 3*i. Give k(n(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - u**2 + 3*u**2)*(-671*u - 565*u + 686*u)*(7 - 3 - 2).\nAnswer: -1100*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, 0, -5, 1 in ascending order.\nAnswer: -16, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 3*u - 2*u + (-5*u + u + 5*u)*(-4 + 4 + 1) in the form d + l*u and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 - 152. Which is the closest to 2? (a) 3 (b) -2\/9 (c) j (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849232829 to the nearest integer?\nAnswer: 29142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**4\/4 + 3*d**3 - 9*d**2\/2 + d + 36. Give u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216 - -520. Suppose 2*l = 6*l - k. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 1. Let m(i) = -56*i**2 - 5*i - 9. Let g(x) = m(x) + 2*q(x). Let n(a) be the first derivative of g(a). Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -169 + (-84135)\/(-497) - 1130\/(-14)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25102, -25128, -25178, -25258, -25374, -25532, -25738?\nAnswer: -25998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*d = -3, -93*b - 3*d = -89*b + 32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/120 + 3*j**5\/20 - 7*j**4\/24 + 5*j**3\/3 + 56*j**2. Calculate the smallest common multiple of 10 and r(8).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**2 - g + 9. Let r(o) = -6*o**2 + 10. Let f(i) = 5*l(i) - 4*r(i). Let z(h) = 4*h - 3. Let m be z(-3). Let p = m - -10. Calculate f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 121. Let u(v) = 3*v. Determine n(u(z)).\nAnswer: 9*z + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -12*x + 3. Let n(c) = 2*c. Determine 2*l(p) + 18*n(p).\nAnswer: 12*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-77)\/33)\/(-2 - 86\/(-45))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - -34. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 - 54*w**2\/7 + 5156*w\/7 + 3840.\nAnswer: -2*(w - 42)*(w + 5)*(w + 64)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -106*1\/(-2) + (-2 - 1). Let o = 11 - -9. Let l be o*(-1)\/(2 - (2 + 1)). Calculate the highest common factor of j and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = -4*v - v, 2*s - 4*v - 18 = 0. Let w(d) = d**3 - 6*d**2 + 6*d. Determine w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -1 + 23 + -34 - -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfflf. Give prob of sequence ff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.99 - -4.19. Let j = l - -7.8. What is the closest to 2 in -3, j, -1, 4\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 10*z + 2. Let v be n(-10). Suppose -44 = v*d + 88. Let k be d\/(-11)*(-1)\/(-3). Solve 0 = -4*b - 4*m + 10 - k, 2*b + 3*m = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1064 and 83\/56.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92418, 369499, 831304, 1477833?\n\"Answer: 92362*b**2 - 5*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -4*j + 236, 5*j + 3*z + 354 = 277 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 27 = -0*w. Let v be 1030\/3 + 35\/3 + -12. Let t = v + -343. Solve r - 4*r - w = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 1. Let q be p(-2). Let h = q + 1. Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -a4baa?\nAnswer: a4bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**4*q - 618*n**2 + 3*n*q - 23889*q wrt n?\nAnswer: 4*n**3*q - 1236*n + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -0.1217?\nAnswer: -9.1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 118*x + 118. Give v(-2).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3 - 57*q**2 + 840*q - 784 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332 (base 5) in base 8?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -268390 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(2\/(-44)). Is 10 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 4249212*g**2\/7 + 2257085803074*g\/7 + 117356972171816\/7.\nAnswer: 2*(g + 52)*(g + 1062277)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-18 - -25) - ((3 - 3) + 6 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -80.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 129 + (-72 - (159 - 225)) + (16 - -1 - 0)\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - 0) - ((-6 - -5) + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 293?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 32. Suppose 16*h - 2 = 30. Suppose -5 - 10 = -5*j. Put j, h, s in descending order.\nAnswer: s, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*u - 23. Let t(i) = 2*i - 2. Let v(o) = -o**2 + 2*o - 2. What is u*v(x) - 4*t(x)?\nAnswer: -3*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, 0 in decreasing order.\nAnswer: 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/5 - (-1)\/5. Let b be (4\/6)\/(q\/(-18)). Determine f, given that f**3 - 4*f**2 - 5*f**3 + 15*f**5 - 4*f**b + 11*f**4 = 0.\nAnswer: -1, -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122 + -109 + (-4)\/40*386\/3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(55) - (sqrt(2695) - -2*sqrt(2695)) - sqrt(55)) - sqrt(55) - sqrt(55) - sqrt(55))\/(sqrt(33)\/(sqrt(3)*-2))*1)**2.\nAnswer: 7220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-18 - -10)\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 7.9295.\nAnswer: -47.577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {j: 3, n: 8, r: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1382 - -1378. Let m(j) be the third derivative of -j**4\/24 + j**3\/6 - j**2. What is m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 18.2. Let o = 70 - 49. Let w = o - 17. What is the nearest to g in -2\/3, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477625983?\nAnswer: 3, 43, 53, 69859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.211385179 - -0.1\nAnswer: 0.311385179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 16036?\nAnswer: -16038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 3:02 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**3 + 15\/2*n**2 - 13\/30*n**6 + 1\/6*n**4 + 1\/42*n**7 + 2 + 0*n**5 - 16*n. What is the third derivative of k(i) wrt i?\nAnswer: 60*i**2 - 312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1416991*a**3*w**3 + a**3*w - a**3 + 5*a**2 - 175*a + 2*w**3 + 6*w**2 + 532*w wrt w.\nAnswer: 8501946*a**3*w + 12*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252 + 1256\/5. Do h and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -95.397, -3, -0.1, -29?\nAnswer: -95.397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137070130.\nAnswer: 2, 5, 2029, 203897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k**2\/8 - 13827*k\/4 - 27645\/8.\nAnswer: -3*(k + 1)*(3*k + 9215)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -1\/12*s**5 + 0*s + 5\/6*s**3 + 1\/120*s**6 + 1\/24*s**4 + 14*s**2 - 1. Give r(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4365551060.\nAnswer: 2, 5, 13, 79, 257, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 81 = -17*p. Suppose -5*f + 3*q + 1 = 0, -2*f + 4*q - 2 = 6. Let d be -8 - f - (-3 + 1). Is d at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u - 64*u + 4*u - 6*u + 7*u - 5*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79175?\nAnswer: 5, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8994345 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*a + 6353 + 1556 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5 = -3*t - 4, 0 = -4*z + t + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1001740?\nAnswer: 11019140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {c: 1, l: 5, x: 6, s: 5}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 35 - 41 = 0. Let p(b) be the second derivative of -3\/4*b**f + 0*b**3 + 14*b + 5\/2*b**2 + 0. Let z(i) = i**2 - 1. What is -p(x) - 6*z(x)?\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) -3 (b) -1319 (c) 1\/90 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2495221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -524*x - 41.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 15. Let q be (5\/z)\/((-2)\/4). Solve 2*f - 13 = 3*f - q*x, 3 = f + 3*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**2. Let s(y) = 1506*y. What is s(o(z))?\nAnswer: -9036*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/6)\/(4*(-20)\/160).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -2063313.\nAnswer: -2063312.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*c + 733 + 817. Calculate the highest common divisor of 190 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1420*c**2 - 11*c - 954. Let p(m) = 284*m**2 - 2*m - 191. Let g(f) = 11*p(f) - 2*q(f). Find the first derivative of g(b) wrt b.\nAnswer: 568*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1216)\/(-10336))\/((-3)\/561).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 5:26 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/7, 5\/142, 7, 285?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045269093 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460088 is divided by 5196.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*r = -15 + 42, -4*o - 2*r = -28. Solve -4*b - o*p - 40 = 0, -5*b - 4*p - 26 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -127958365040 and -0.4.\nAnswer: -127958365040.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3201 divided by 1067\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3797458ml?\nAnswer: 0.0003797458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -12301211214?\nAnswer: -12301211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215 - 31?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Suppose 25 - 275 = -j*d. Let s = d - 29. Solve -5*i + 3*q + q - s = 0, 4*i + q = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*r + 75*r + 70*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 9279\nAnswer: -1\/9279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -292, -244, -194, -142, -88, -32, 26?\n\"Answer: h**2 + 45*h - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpom when four letters picked without replacement from omoggggogpomggoomg.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 13. Let h(p) = -1. Calculate -2*h(b) + t(b).\nAnswer: 2*b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10022*0.244\nAnswer: -2445.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h. Let a(g) = -4*g**3 + 37*g**2 - 3*g. Let v(s) = a(s) - 3*n(s). Find the third derivative of v(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5742 = -23*c + 4792 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 56. Let y = -1 - -1. Suppose -2*o + o + t = y. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39901425 is divided by 319211?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1289.03.\nAnswer: -644.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.059 * -71.\nAnswer: 4.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9*b**2 - 5 + 3.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(567) + 0 - (sqrt(7) - (sqrt(7)*-2 + 3)).\nAnswer: 3 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3251 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -32*s**2 + 10*s. Let z(b) be the third derivative of -b**5\/60 - 25*b**2 - 24. Calculate u(z(w)).\nAnswer: -32*w**4 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 1\/2*w**3 + 75\/2*w**2 - 109*w = 0.\nAnswer: 1, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.642 - 0.3\nAnswer: -6.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + s = 5, -2*c + s + 187 = 191 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5833 and 0.4.\nAnswer: -2333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 25172974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3 - 21995*i**2 - 153330*i + 1712880 = 0.\nAnswer: -4392, -13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 0, 3*i - 5*c + c = 15. Suppose -5*w + 3*x + 29 = 0, -w - 27 = -x - 34. Solve -r + w = -i*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.385 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -318158 and 2.\nAnswer: -318156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1520944*w - 943457.\nAnswer: 1520944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*u - 5*j, 3*u + 4*j = -0*u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001010111000100 (base 2) in base 8?\nAnswer: -1212704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (17 + -8) - -12 - (-6 - -33).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28932 or 28864?\nAnswer: 28932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5657207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-1)**2 + ((sqrt(5) + 3*sqrt(5))*-3)**2 + 0)*-3.\nAnswer: -2895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bcsfffbxxbcsc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25778 and -0.0043.\nAnswer: -25778.0043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 394 + 137881826\nAnswer: 137882220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15080003 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*s**3*t**2 - 38759*s**2*t**2 + 3277858*s*t**2 wrt s?\nAnswer: -96*s*t**2 - 77518*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*f**2 + 8*f**3 + 0 + 2\/9*f.\nAnswer: 2*f*(6*f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186777 times 0.3?\nAnswer: -56033.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9 = -16. Suppose -3*h = 4*c + 16 + 16, -14 = h + 2*c. Put -2, h, b in decreasing order.\nAnswer: -2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/6 + 7\/(-21). Suppose 2*l = -h*l + 70. Solve 5*d + l = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 247, 313, 327, 283, 175, -3, -257?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 141, 138, 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8456857.\nAnswer: 61, 138637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7.2 (b) -4.609 (c) 0.069 (d) -4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 5*j - 3. Let u be v(-3). Suppose 3*a - u = 6*a. Which is greater: a or 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-132) + 202\/22. Suppose -b + n = 2*b, -b = -5*u + 11237. Suppose 2*x - u + 302 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 23918*r - 526201. Determine l(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7468448268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21 + 2 - (2 - (0 + 3)). Let s = m + 19. Let b(x) = 96*x**3 + 2*x - 2. Does 11 divide b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let m(j) = -2*j + 21. Let s(v) = -m(v) - 4*x(v). Let d be s(-12). Let c be ((-2)\/d)\/(4\/(-6)). Solve b = c + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 3*b - 133*b**2 - 1103*b**2.\nAnswer: -1236*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o - 4. Suppose -2*z + 4 = 24. Let s(a) = -2*a**2 + 5*a + 7. Calculate z*h(i) - 6*s(i).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/86 and 79\/24.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 - (2 + -6 + -14). Factor -1\/6*g**t - g - 4\/3.\nAnswer: -(g + 2)*(g + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -4*h + 4*v, 5*v = 20. Suppose 0 = -h*d + 104 + 30. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143666.\nAnswer: 2, 29, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvvsv. Give prob of sequence vbvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (26 - 64) + (-2 + 4 - -7) + -48.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (6\/(-15))\/((-16)\/8640)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 376 = 3*z. Let d = z + -100. Suppose i = -4*i + d. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.58 + 0.58. Let x = a + 51.4. What is the fourth smallest value in -0.4, -3\/5, 1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 - w - 2. Let i(h) = 793*h**3 + 6*h**2 + 6*h + 12. Give i(k) + 6*v(k).\nAnswer: 787*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -63, 83477.\nAnswer: -63, -3, 83477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -101*u**3 - 3*u**2 + 4*u + 20. Determine o(-2).\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6743*w. Let o(z) = 5*z**2. Give o(u(s)).\nAnswer: 227340245*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2 - 5\/2*u**2 + 1\/2*u**3 + 4*u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 16*p + 19. Let k be s(9). Let t be (k + 0)\/(-3 - 116\/(-38)). Solve v - 3*u - 16 = 0, t = 4*v - 5*u - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -779, -1486, -2179, -2852, -3499, -4114?\n\"Answer: x**3 + x**2 - 717*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.587 or 0?\nAnswer: -0.587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838107691.\nAnswer: 41, 20441651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -46 - 79. Let w be 2\/5 - 40\/u. Factor 2\/5*a + 1\/5*a**w + 0 - 1\/5*a**3.\nAnswer: -a*(a - 2)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -14*j - 322. What is n(-25)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11868006*d**4 - 936*d**2 - 4 + 3*d**5 + 11868006*d**4 + 639*d wrt d?\nAnswer: 60*d**3 - 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1519460 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1899958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - 3\/(-4). Let o = -32645\/3 - -10882. Let y be 2\/(-72) - (-4)\/(-18). Which is the closest to j? (a) y (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1306*n**3 + 12*n**2 + 12*n - 911. Let a(u) = -2613*u**3 + 26*u**2 + 26*u - 1822. Let j(t) = -6*a(t) + 13*s(t). Differentiate j(o) with respect to o.\nAnswer: -3900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32510.47 + 118.47. Let y = u - -32441.967. Let v = -0.433 - y. Round v to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*a - 108615, -2*j + 307924 = -5*a + 36414. What is a rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(4\/5)*g)\/g*g))**(-50)\/(((g\/g**(-3\/8)*g*g)\/g*g)\/g**(-14)) assuming g is positive.\nAnswer: g**(581\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lloqebebqbelbeqlp. What is prob of sequence ebop?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*j - 7*j + 12*j)*(-172*j**2 - 108*j**2 - 71*j**2 + 195*j**2).\nAnswer: -14352*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/120 - v**5\/10 - v**4\/12 + 4*v**3\/3 - 2*v**2. What is a(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) -1 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*d - 50, -55490 = 4*w + d - 55441 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 - 872524*z\/5 + 95162266322\/5.\nAnswer: 2*(z - 218131)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5 + 8*f**4 - 10*f**3 + 4*f**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 34*l**3 - 1898*l**2 - 14534*l.\nAnswer: 2*l*(l - 43)*(l + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840636 and 1401060?\nAnswer: 4203180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*b**2 + 2 + 4*b - 17*b + 0*b + 13*b to p*b + a*b**2 + q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*j + 181252 + 87025. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1368612756 - 5?\nAnswer: 1368612751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 3756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10970 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -0*o - 3*v, -4*o - 1 = v. Solve o = -x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -11. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43856 + -76856. What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1060 + 1094. What is the remainder when 208 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3902246 or -3902102?\nAnswer: -3902246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o**3 + 15*o**3 + o - 13*o**3.\nAnswer: -29*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hsaham?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829302 is divided by 570?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 56*l**2 + 118*l + 104. What is s(21)?\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 474337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 14) to base 8.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*l = 2045 + 4636 + 170 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27133647 (base 9) in base 8?\nAnswer: 62774261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 206 - 2556*n**2 + 206 + 848*n**2.\nAnswer: n**3 - 1708*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -5 (b) -17 (c) 0.2 (d) -3 (e) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1545 divide 99195180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -0.213.\nAnswer: -0.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.631907 + 0.355807. Let z = 0.2661 + w. What is z rounded to one decimal place?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-8 - 1) - (-11 + 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 378196413*a**2 - 83042080*a?\nAnswer: 756392826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**8\/23520 - o**7\/8820 - o**4\/24 - 4*o**2. Let p(s) be the second derivative of n(s). Factor p(y).\nAnswer: -2*y**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q + 906*q**2 - 24*q - 908*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose -d + 11 = -4*g, 4*d = -5*g + t - 22. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w**2 - 3*w - 10. Let a(d) = -2*d**3 - d**2 - 4*d - 9. Let v(i) = 2*a(i) - 3*j(i). Determine v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/9 + 18332*d\/3 - 219952\/9 = 0. What is d?\nAnswer: 4, 27494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 2. Let o = -7 - -13. Let g be q(o). Suppose 0 = 2*n + 2*n - g. Calculate the least common multiple of n and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6436 is divided by 3924.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -658 in -2\/43, 0.5, 0, 0.2?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426412340?\nAnswer: 2, 5, 787, 27091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 + p - 1. Let i(c) = 918*c**4 - 4*c**3 + 12*c**2 + 2017*c - 4. Let h(j) = i(j) - 4*w(j). Find the second derivative of h(u) wrt u.\nAnswer: 11016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22360 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/202 and 53\/26.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(9\/(-2)) + 3 - 0. Suppose 37 = 4*w + y. Calculate the remainder when 28 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*y = 18, k + 3*y = 4*y - 1. Let j = -7 + k. Let n be (-15)\/j + -1 - -369996. Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 984 * -0.4\nAnswer: -393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -56097?\nAnswer: 56092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 1, g: 1}. Give prob of sequence ra.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/28 + 2*-1. Let j be -1 - 24*1\/q. Calculate the highest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 8*s - 3. Let i = -0.1 - 0.7. Let v = i + 1. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1. Let q(r) = 2*r**2 + 4*r - 12. Let i(d) = -q(d) - 6*w(d). Suppose i(b) = 0. Calculate b.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - (12 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 4. Let z be b\/(3\/(-9) + 0). Suppose 325 + z = y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 + 116 = -31*q - 864. Let o(d) = -2*d**2 - 87*d - 38. What is o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -861*v + 16353. Determine j(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-864)\/(-168) + -5)*(0 + 25815769) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -4967078292.\nAnswer: -4967078291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - -2) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**3\/3 + 1. Let s(z) = 2*z**2 + 7*z - 98. Let u(v) = v**2 + 6*v - 84. Let y(w) = -6*s(w) + 7*u(w). Determine m(y(a)).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106.000158 + 106. What is t rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 - 1.4. Let z = y - -6. Which is bigger: 1\/3 or z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 38 = -19*s. Which is the biggest value? (a) s (b) -3\/8 (c) -0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7434 or -7408?\nAnswer: -7434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4 + 10*t - 32*t - 4. Let y be a(-8). What is the greatest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 0*h + 2\/15*h**5 - 35\/3*h**3 + 0*h**2 - 11 + 1\/90*h**6 + 1\/2*h**4. Let z(n) be the third derivative of p(n). Factor z(u).\nAnswer: 4*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 334*q**3 - 165*q**2 - 289*q**3 + 216 - 3*q**5 + 9*q**4 - 11*q + 29*q = 0.\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 22*f**2 - 4\/3*f**3 + 48*f - 53. What is n in o(n) = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w - 3*w**2 - 34 - 7*w + 34 to i*w**2 + t + q*w and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 174 = -2*z, -4*k + 5*z + 133 = 7. Suppose 270 - 644 = -17*o. What is the remainder when k is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*l + 12, -4*g + 16 = -0*g. Let w be (l\/(-5))\/(7\/105). Let q be (4\/w)\/(2\/(-78)). Calculate the highest common factor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 2:10 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001282901235 rounded to five dps?\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 32, -66, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -27*i - 2. Let r be p(-1). Suppose 4*u = -u - r. Let w(d) = -2*d - 7. Give w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*u**4 + 13*u**4 + 137*u**4 + (-2*u**2 - u**3 + 2*u**2)*(4*u - 4*u + 2*u) in the form y*u**4 + c + k*u**2 + m*u + a*u**3 and give y.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10687 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -319 - -4149\/13. Let l = 1561 - 1561. Is l at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011 + 1111100?\nAnswer: 11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 2. Suppose 16 + 2 = b. Let z = b + -12. Determine i(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14368 and 26042?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-13 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + x + 0*x + 1 - 4*x + 1 + 1 - 4 - 5*x + 2*x + 2*x + (-2*x - 3*x - 4*x)*(1 + 4 + 4) to w + z*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 + 2*u. Let k be p(2). Calculate the greatest common factor of 220 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + -12 - (8 - (15 + -7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32887303?\nAnswer: 43, 73, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68350.8 centuries to millennia.\nAnswer: 6835.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16174743 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34168 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 11800.6?\nAnswer: 11800.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 142? (a) -2\/7 (b) 29 (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 8. Let n be y(-6). What is the third derivative of 2*q**5 + q**n - 3*q**2 + q**5 wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 83623*w**2 - 1086900*w - 2508300.\nAnswer: -(w - 83610)*(w - 15)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/456 and -6\/95.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 2. Let l = 9 + -7. Let o be l\/(-9) - (-47)\/9. Let g(r) = -3*r - 4. Let i(y) = y + 1. Let m(h) = -g(h) - 2*i(h). Determine o*a(u) + 4*m(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3489\/8 - -448. Let x = -1891 - -18893\/10. Find the common denominator of x and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 52*m**2 + 28*m + 3. What are the prime factors of i(8)?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53008440 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-6)\/3*6\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-210)*1\/(-10 + 1). Let j(p) be the third derivative of 5*p**2 - 1\/9*p**3 + 0 - 1\/45*p**6 - q*p**7 + 0*p - 1\/9*p**4 - 1\/15*p**5. Factor j(a).\nAnswer: -2*(a + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 + 28*y - 177 - 107 - 59*y + 30*y to the form g + d*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 10:38 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 53153*i + 425203. Calculate x(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*-4*(-5 + 0 + (5 + -1 + sqrt(162))**2))*4.\nAnswer: 6912*sqrt(2) + 16616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m = 15 - 99 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(3)*-2 + sqrt(3) + -3).\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -2\/9, 3, -0.037 in increasing order.\nAnswer: -2\/9, -0.1, -0.037, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.116 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20 = 34*w - 35*w, -2*k = 3*w - 21. Solve 0 = -z - l + 7 - 3, k*l = 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707 + 1407 - 700 + 15*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 172142784 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 22. Let y = -364 + 367.93. Let v = y + 0.07. What is the second smallest value in 3\/5, v, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t + 14. Let c(r) = -16*r - 21. Let l(y) = -5*c(y) - 8*j(y). Differentiate l(d) wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5\/2*l + 9\/4*l**2 + 1\/4 = 0.\nAnswer: -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25, -2, -12, 3, -3 in increasing order.\nAnswer: -12, -3, -2, 0, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(((u**(1\/3)*u)\/u)\/u)\/u)**39\/((u*u*u**(2\/7)*u*u)\/(u*u**6)) assuming u is positive.\nAnswer: u**(-163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581710 is divided by 64634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1360364 and 3741001.\nAnswer: 14964004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 210 = 90. Suppose 81 = -7*i - 2*i. Let r be (-11 - i)\/((-1)\/15). What is the greatest common factor of u and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 425e5b?\nAnswer: -425e65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2129\/174 + 25\/58. What is the common denominator of c and -5 + 5585\/(-1620) + 8?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168980726 equal to 168980728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 22*u - 102. Let z be w(15). Sort -28, z, 2.\nAnswer: -28, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7165*z**2. Let s(y) = -2*y. What is s(k(i))?\nAnswer: 14330*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + 3*x)*(3 - 3 - 1)*(-6*x**2 - 12*x**2 + 3*x**2).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:30 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/(36\/279)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 + 2*q**5 + 138*q**4 + 1262*q**2?\nAnswer: -120*q**3 + 120*q**2 + 3312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 + 7 = 0. Let q = 4 - l. What are the prime factors of 2\/q*(-6 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 7*v - 1. What is the remainder when 10 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 755 divided by 65345\nAnswer: 151\/13069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -78323?\nAnswer: 7832a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7692 and 3.\nAnswer: -2.3076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4280, 2, 17, 9.\nAnswer: -4280, 2, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*((-918)\/(-24) + -1). Suppose -3*r - 545 = 4*f, -r + t + 116 = -2*f. What is the smallest value in -1, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:47 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1374646 (b) -1 (c) -2\/7 (d) 2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(175))**2 - sqrt(175) - sqrt(175)) + 3.\nAnswer: -10*sqrt(7) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 129, 293, 513, 783, 1097?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176231585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -33*x + 141, 30 - 11 = -3*w + 7*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) 2\/7 (c) 0.16 (d) 1 (e) -1\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-1\/12))*y**(1\/5)*y**(-3\/5)\/(y\/y**9)*((y*(y\/(y*y*y\/(y**(-2)\/y)*y))\/y)\/y*y\/(y*y*y\/((y**(1\/4)*y)\/y)))**(-40) assuming y is positive.\nAnswer: y**(21461\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a63 - -100?\nAnswer: -7963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 + 63 - 348 = 7*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-5))\/(206\/(-515))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 11 = 3*l + 2*a, -2*a = -4 - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 3*f - 16 = -8*p, p + 3*f - 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = u + 4. Suppose 3*t + 253 + u = 0. What is the tens digit of 6\/(-45)*3*t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -0.4 (c) 2107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14848 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*y**3\/9 + 280*y**2\/3 + 1102*y + 16820\/9 = 0 for y.\nAnswer: -29\/10, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = 2*q, -3*q - 9 = 3. Let s = 6 + -2. Suppose -x = 2*w - u + 11, 0 = -2*w + s*x. Put 0, -3, w in descending order.\nAnswer: 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*39\/21 - -2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5501232 divided by 239184?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(l + 2*l - 4*l) + 0*l + 2*l - 4*l + l - 2*l + 0*l + 2*l - 2*l - 4*l - 1 + 1 + l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 252 = -4*u + 4*p, -315 = 5*u + 2*p. Let l = -71 - u. Is -8 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 636\/21 - 6\/21. Calculate the highest common divisor of 75 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 - 8*h + 10*h**2 + 2*h**2 + 10*h**3 - 5*h**2 - 2. Is 7 a factor of t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -v - 2*c, 3*v + 3*c = 20 + 7. Solve g = y - 4*y + 13, 0 = v*g + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13 = 18*j. Let c be (-1 - 2\/j) + 4. Suppose -2*g + c = g + 2*b, 1 = 3*g + 4*b. Let p(v) = -v**3 + 2*v**2 + 2*v - 2. Calculate p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4 + 8\/16. Suppose 0 = -5*q + 23 - 3. Put q, g, 1 in descending order.\nAnswer: q, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6 - 6 + 6*k**2 - 6*k - k**3 + 7. Let f = 324 - -1. Let q = 330 - f. Determine h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n + 5*l - 26 = 0, 49 = -3*n + 5*l. Let b = -3314 - -3337. Let o = b + n. Solve o = y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 45. Find the second derivative of u*v**2 - 27*v**2 + 22*v - 20*v wrt v.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-5)*((-381)\/(-2032))\/((-3)\/10). What is the nearest to 1 in 36, -1, -2\/17, a?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)*(-6 - -4). Let t be (-1 + (3 - u))\/2. Suppose -8*q + 11*q - 669 = t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119593*m**3 + 4*m**2 + 20*m + 658?\nAnswer: 717558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 92. Let m = 47 - w. Suppose 4*b = -0*p - p + 24, -p + 17 = -m*b. Calculate the smallest common multiple of 28 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 617 (b) 1876 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 2*g + 2*g + (-668 + 668 - 81*g)*(7*g - g + 5*g) as h*g**2 + q*g + b and give h.\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 1. Let j be o(-1). Is 18 a factor of 45 + -7 - j*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70933 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000528017 to 5 dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2 - 7803*a + 218944 wrt a.\nAnswer: -2*a - 7803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.75 - 0.25. Which is the closest to 2? (a) -0.4 (b) j (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 488 and 503864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l. Let x(b) = -228*b**2. What is x(n(j))?\nAnswer: -3648*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 2. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let k(d) = d**2 - 19*d - 9. Let r be k(7). Let f = -277\/3 - r. What is the biggest value in c, 1\/10, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4.5. Which is the second biggest value? (a) 2\/3 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11587 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(15*p**4 + 11*p - 8*p + p).\nAnswer: -15*p**4 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*g**2 - g + 3*g - g**4 + 2 - g**3 + 12*g**2 - 4 + 0 in the form i*g**4 + z + u*g**2 + h*g + x*g**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wuud.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165 - 97 + 10 - 291 + 3*q**3 - 298 + q**4 to the form h*q**4 + m*q**3 + y*q**2 + x + a*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*w + 106*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijhh when four letters picked without replacement from jjjjjpihhy.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(324)*1)\/(-4*sqrt(9)\/sqrt(3) - (sqrt(3) + -5*sqrt(6)\/sqrt(2) + sqrt(3))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 1, n: 3}. What is prob of picking 1 s and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575.7 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31206 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(6\/11)*f*f*f**(-3\/4))\/(f**2*f*(f\/f**0*f)\/f) assuming f is positive.\nAnswer: f**(-53\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -17.2, 2, -1 in descending order.\nAnswer: 2, -1, -17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 535 - 245. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -8650.73.\nAnswer: -8650.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.87 or 1\/3304?\nAnswer: 1\/3304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - w, 4*l + 2*w = -w. Solve 3*f - 8*f - 25 = l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**3\/3 + 3*m**2 - 325*m. Let r be 6 - 0 - (5 - 6). Give y(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 7) + -3 + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:39 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2093*d + 868 = 2124*d. Which is the closest to 1? (a) d (b) -2 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -37, 0.2, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.824761 centuries in decades?\nAnswer: 28.24761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 1}. Give prob of picking 1 c and 1 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/25)\/(267\/1780*-4).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -56*v**3 + 4*v**2 + 4*v + 4. Let x(w) be the second derivative of 57*w**5\/20 - w**4\/4 - w**3\/2 - 3*w**2\/2 + 10304*w. What is -3*d(n) - 4*x(n)?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 + 4*h + 3. Is t(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-66) - 862\/(-22) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 229.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 11541*y + 348*y**3 - 11541*y to the form l*y**3 + p*y**2 + s*y + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 179, 474, 957, 1622, 2463, 3474, 4649, 5982?\n\"Answer: -r**3 + 100*r**2 + 2*r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:30 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 83. Suppose -y - 5 = l, -2*y = 5*s - 7*y - 985. Let u(i) = -5*i - 1. Let r be u(-5). What is the highest common factor of r and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 7124866?\nAnswer: -7124866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/30 - (-5)\/(-6). Let w be (-4 - q)*7\/(-42). Which is smaller: 1\/6 or w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, 0, 2 in descending order.\nAnswer: 9, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 11. List the prime factors of s(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p - 2*p + 1 + p - 1 + (3 - 3 + p)*(-2 + 2 + 1))*(8*p + 295*p**2 + 300*p**2 - 605*p**2).\nAnswer: -30*p**3 + 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970219 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(125) + 1 + sqrt(275).\nAnswer: 1 + 26*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = 2*o - 24, -2*c - 3*o = -16. Let q = 15 - c. What is the third derivative of -q*b**2 - 29*b**6 + b**5 + 24*b**6 - b**5 wrt b?\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) -0.2 (d) 68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -448 + 498. Let t(b) = -b**3 + 5*b**2 - 3*b + 1. Let d be t(3). What is the highest common factor of y and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 x when three letters picked without replacement from jjjxxjjxxxjj?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-204451070\nAnswer: 102225535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.53496 to two dps.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 52 = -4. What is the smallest common multiple of 40\/(-3)*3\/(-2) and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r - 2*r - 20 + 4*r**3 - 147 + 189*r**5 - 3*r**3 wrt r.\nAnswer: 3780*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146924\/29 at least 5065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 8. Let i = t + -12. Is 0.3 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.439512 millilitres to litres.\nAnswer: 0.009439512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - 2)\/(1 - 0). Solve r - 4*r = o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/17 + 10\/(-85). Suppose -3*w = 2*o - 3 - 18, p = 3*o + 3*w - 27. Solve o*t + 9 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 35 + 9. Let h(v) = 60*v - 45. Calculate the remainder when h(2) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 3*x + 1. Let b be l(2). Let v be ((-36)\/(-7))\/(b\/(-63)). Suppose 2*h - a = 37, 0 = 2*h + 3*a - 5*a - v. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.16 * 3.82\nAnswer: -65.5512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -8*z + 26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 2*b**7\/63 - 31*b**6\/72 - 2*b**5\/9 - 456*b**2. Factor u(t).\nAnswer: 5*t**2*(t - 8)*(4*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by -2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 3, -91, -14, 1 in ascending order.\nAnswer: -91, -14, -4, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((0 - -2) + (-8 - -9) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1105*l + 17. Is q(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -92, 2.\nAnswer: -92, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 10*i + 106. What is b(39)?\nAnswer: 1237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -400, -629, -858?\n\"Answer: -229*n - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25 and -38153319054.\nAnswer: -38153319079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3 - 10) + 5 + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.2 + 2.4. Let m = 62.8 + r. Let j = m - 65. Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 0*c**2 + 3 - 2*c**2 + 5*c**2 + 6*c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 2. Let m be b(0). Solve 3*j = 4*p - 9*p + 8, -m*p + 4 = j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/596 and -77\/12.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-14725)*-31)\/(-1*2*9\/36)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3 + 269894*m**2 - 38193614*m.\nAnswer: -6*m + 539788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034266 to 5 decimal places.\nAnswer: 0.00343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -169658 and 301464620?\nAnswer: 301634278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*o**4 + 3*o**3 - o**2 + 14877 wrt o.\nAnswer: -128*o**3 + 9*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**6*a*a**(-14)*a*a*a)\/(a**16\/(a\/(a**(1\/3)\/a)*a)) assuming a is positive.\nAnswer: a**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 136. Let h = -0.14 - -0.26. Let q = h + -0.62. What is the second biggest value in n, 4, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/2, -0.5, -1\/29, 24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312041 (base 5) in base 7?\nAnswer: -232024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/210*-4*3\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 1675.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w. Let z be n(-5). Calculate the common denominator of -1 + (-3 - 182\/z) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - g - 11. What is the tens digit of t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 3*f + 2. Let w be y(-4). What is the tens digit of (3\/4)\/(w\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -1.4. Which is the third biggest value? (a) i (b) 3\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Suppose h + 59 = 4*j, g = -h + 2. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/8*12\/270?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126.0209585 - -0.0418415. Let u = f + -126. What is u rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -20, 0 = 4*x + 2*o - 212 - 126. Let g = -67 + x. Let s = -6 + 12. Calculate the remainder when g is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)*t*t)**(4\/43)*(t**(3\/5))**(-1\/14) assuming t is positive.\nAnswer: t**(1853\/9030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**2*u**2 + 31437*f**2*u + 23*f**2 + 3*f*u**2 + 7*f*u + 2*u**2 - 725380*u wrt f?\nAnswer: 34*u**2 + 62874*u + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 12) to base 11\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3472211837 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-260) - 594\/(-40))*208\/39.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:24 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(17) + 1 + sqrt(17))*-3 - (1 + sqrt(425) + sqrt(68) + 2).\nAnswer: -13*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 225*p + 2748. Let k be x(-99). Solve -50*v + k = -65*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/76 and -2*4\/24 + (-83)\/6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from uzzrrrrrrzzrzz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4))**(-2\/33)\/((p**(3\/11)\/p)\/(p**(-2\/15)*p*p)) assuming p is positive.\nAnswer: p**(871\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.16538749 times -0.3\nAnswer: 0.049616247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 4, 4*z - 5*s + 6 = -3*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153776498 to the nearest integer?\nAnswer: 12401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (958\/10)\/(-21 - 1908\/(-90)). Which is greater: k or 1435\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 98. Let y(o) = -12*o**3 + 6*o**3 + q + 5*o**3 - 12*o + 5 - 8*o**2. Let j be y(-6). What is the greatest common divisor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-12)\/8 - 15\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/19 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1716.9 - -1714.9. Let d be 4323\/84 - (-4)\/14. Let q = d + -52. What is the closest to q in -1, -3\/4, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5234?\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/90*-6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -31, 0.4 in ascending order.\nAnswer: -31, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/18 - 4 - (16\/54)\/(8442\/19899)?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1675, 2, 3, -8, 7, -1 in increasing order.\nAnswer: -1675, -8, -1, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 9 = -38*n. Suppose 3*z + y = 6, -2*y - 2 - 8 = -5*z. Solve -5*d = g + 3, 2*g + z*d = d + n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 18 + 68)*(41*r + 34 + 44*r - 78*r).\nAnswer: 161*r + 782","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 83*j**3 + 9*j**2 + 11*j - 32. Let n(c) = -56*c**3 - 6*c**2 - 7*c + 20. Calculate 8*n(x) + 5*y(x).\nAnswer: -33*x**3 - 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.430564 weeks?\nAnswer: 5098805107.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*a + 22, 2*i = 5*a + 13 - 43. Let p(s) be the first derivative of -1 - 1\/3*s**3 + 0*s - 5\/2*s**2. Give p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 20, 3*o - o - 6*s + 7811 = 7801 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, 13, 33, 49850 in increasing order.\nAnswer: -3, 2\/5, 13, 33, 49850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 42*v + 26*v - 265 = 0, -5*b + 17*v - 21*v - 79 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*-5*(sqrt(42) - (sqrt(42) + 1*sqrt(42))))\/(sqrt(384) + -2*sqrt(384) + (1*sqrt(54) - sqrt(54))))*4 + -5.\nAnswer: -5*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75969502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468467 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114696 is divided by 795.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/7))\/n*n\/(n*n**(-2\/31)))\/(n**(-1\/4))**39 assuming n is positive.\nAnswer: n**(8643\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 31*r - 14 - 6*r - 18*r.\nAnswer: 3*r - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*o**2 - 2*o - 39*o**2 - 12*o**2.\nAnswer: -136*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 105475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/67, 5, -3, -1336\/9, 4 in descending order.\nAnswer: 5, 4, 1\/67, -3, -1336\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -121*u + 123*u + 2*w, 0 = 4*w. Let f(r) = 13*r + 3 - 3. Calculate f(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 7*b - 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9916 divided by -4.\nAnswer: -2479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**5\/60 + 3*o**3 - 10. Let z(v) be the third derivative of x(v). Let w(j) = -j**2. Determine z(w(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 228748849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9549 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42325031 + 105?\nAnswer: -42324522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9577, 10788, 11999?\nAnswer: 13210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.991775348 to 3 dps.\nAnswer: -2.992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*j + 4, 0*c + 5*c + 15 = -5*j. Suppose 0 = 3*t - 4*s + 11, -3*t - 3*s + 14 + 10 = 0. List the prime factors of (c - 5)*t\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 0. Suppose -5*o = 3*r - 359, 4*r = 2*o - z*r - 128. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1. Suppose -a + 19 = 3*n - 3*a, -3*a = -4*n + 25. Let i(j) = 11*j - 14. Let t(m) = -6*m + 7. Let x(u) = n*t(u) + 4*i(u). What is 6*p(g) + x(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 3. Let m be q(8). Suppose -156 = -4*v - 4*s, 0*v - m*v - s = -191. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*r + t + 13, 0 = 2*t. Calculate the remainder when r is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**4 + 21*p**3 + 143818*p**2 + 231169627*p?\nAnswer: -36*p**2 + 126*p + 287636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6)*(-5)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*n + 1. Suppose -n*p = -0*p + 736. Does 13 divide ((-2)\/4)\/(2\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1676\/15 + -6689\/60. Factor 5\/2*r + 3*r**2 + 3\/4 + 3\/2*r**3 + l*r**4.\nAnswer: (r + 1)**3*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 - 10101100110100011?\nAnswer: -10101100101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**5\/60 - 7*c**4\/24 + 2*c**3\/3 - 3*c**2. Let q be p(-7). Solve -q*d + 2*z = 28, -4*z = 3*d - 0*d - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*((-1*sqrt(18) + sqrt(18))\/sqrt(9) - -2*(sqrt(2)*-1 - sqrt(2))).\nAnswer: 4 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224091728.\nAnswer: 2, 7, 97, 20627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1461587\/66 + 22143. What is the common denominator of q and -25\/402?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5711b (base 12) to base 13.\nAnswer: -40a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/((-99)\/53292) + (-2)\/(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Let s = 7.2 + -1.2. Let v = s - 8. What is the nearest to v in 0.3, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 229 - 18c8?\nAnswer: -169d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*21\/6)\/((-245)\/(-490))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - s + 9. Let r be u(5). What is the tens digit of (r\/(-54))\/((-1)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(20\/180 - 16\/(-180))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 326584 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -308 + 740. 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: Suppose -3 - 77 = -5*q. Let n = -31 - -33. Suppose n*s + 3*o = -3*s + 329, 2*s - 119 = 3*o. What is the greatest common divisor of s and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**9*j\/((j*j\/((j**(-2\/19)*j)\/j))\/j) assuming j is positive.\nAnswer: j**(169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 416963825 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 60*t + 1. Let j be i(4). Suppose k - 95 = v - 3*v, -3*k = -5*v - j. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 5, -1258 in descending order.\nAnswer: 5, -1, -7, -1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 635.27 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 14*k**2 + 41*k - 44. Let n be c(-7). Let h(q) = 53*q - 638. What is h(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -5, 4\/249, -0.3 in ascending order.\nAnswer: -5, -1, -0.3, 4\/249, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/((-2)\/60). Solve 3*j - 5*m = -2*j + h, -m - 8 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 37, -1, 48.\nAnswer: -6, -1, 37, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3454 - 608. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 68*t - 1566. Determine b(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 8*s + 6*s + 3*s)*(-s - 2*s**2 + s) + 4*s**3 - 2*s + 2*s to the form t*s + m + c*s**2 + i*s**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8439? (a) -2 (b) 1\/4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -q + 3*m, -2*q - 2*m = -0*q + 20. Let v(i) = -2*i + 24. Let f be v(-6). Let w = q + f. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 1033 = -52. Calculate the remainder when 58 is divided by ((-4)\/2 + 0)*n\/10.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(4\/40). Let v = 33 + -2. Suppose -v = -o*h + 1. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4 = 5*w. Suppose -3*l = 64*t - 69*t + 1, -2*t + 10 = 2*l. Solve -t*q = -w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**2 - 136*m - 213. What is c(-24)?\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-15)\/(-20)). Let c(j) be the first derivative of j**4\/4 + j**3\/3 + j**2 + 3*j + 126. What is c(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let u be g(4). Let a be (1 - 0\/u)*-14. Calculate the least common multiple of 4 and (12\/a)\/((-5)\/35).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 130?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105656, -422023, -949302, -1687493?\nAnswer: -2636596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -512*h**2 - 4*h - 1. Let t(g) = 1020*g**2 + 7*g + 2. Give 7*s(q) + 4*t(q).\nAnswer: 496*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 - 903090*j\/7 + 67964295675\/7.\nAnswer: 3*(j - 150515)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 3*s - 32. Calculate q(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**2 + 10*g**2 + 2*g - 3*g**5 + 0*g - 6*g**4 + g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4175*r + 34705. Calculate h(-8).\nAnswer: 1305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/363472 and -9\/10912.\nAnswer: 247887904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/45 or -3841?\nAnswer: -3841","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p - 1. Suppose -5*r - 18 = -63. Calculate the smallest common multiple of o(1) and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 411182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 1476534730*o + 109007740444808645.\nAnswer: 5*(o + 147653473)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57636.06 kilometers in centimeters?\nAnswer: 5763606000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(sqrt(11) - sqrt(77)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/50)\/((64\/120)\/((-24)\/(-18))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124a40 (base 15) to base 11.\nAnswer: 54952a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = -11*n - 11*n + 3986618. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/((o*(o*o*o**(2\/19)*o)\/o*o)\/o)*o*o*o)\/o)\/o**(-1\/10))**(-4\/5) assuming o is positive.\nAnswer: o**(-758\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*z + 272 - 272 + 265*z - 122*z + 0*z**3 - z**3.\nAnswer: -z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (35\/28)\/((-1)\/(-4)). Suppose 0 = 4*c - 2*c - 10, -w*c = g - 37. Calculate the lowest common multiple of 11 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5957 times -0.5\nAnswer: -1.79785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 26*g - 623. Give h(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37886 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 a when four letters picked without replacement from {p: 2, a: 9, r: 6, s: 2}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/13 (b) -2\/5 (c) -3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37285750 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 14*x - 11. Calculate i(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h - 42*h + 72*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -18*h**2. Let t = -3 + 8. Let q = 2295 - 2293. Let x(p) = -3 - q*p - 2 + t. Calculate x(v(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + -0.05. Let v(s) = 7 + 0*s - 2 + 2*s. Let o be v(-4). Which is the closest to r? (a) 0.3 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.39 plus -0.4?\nAnswer: 242.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 50 + 55 - 160 + 55 + 14*b. Let h(m) be the third derivative of 1\/8*m**4 - m**2 + 0*m + 0 + 0*m**3. Calculate h(c(g)).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*d - 31, 973*d + 33*j = 969*d + 110 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -21. Solve -m + 4*m - 15 = c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -215*v - 1130. Calculate f(-8).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 2*j**2 - 2*j + 2. Calculate x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 52 - 46 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-2) - 11\/22. What is the second biggest value in 4, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 36*t**2 + 11*t - 11. Let c(w) = -7*w**2 + 2*w - 2. Suppose 0 = -1154*u + 1157*u + 33. Give u*c(l) + 2*d(l).\nAnswer: -2*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = u - 5*u. Suppose -3*i = -u*c - 14, -4*i + 16 = c - 5*c. Solve i*g + 11 = -1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukg when three letters picked without replacement from {o: 2, d: 1, x: 1, k: 1, g: 1, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 5050024142?\nAnswer: 5050024142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-196)\/(-8)*(5 + -2 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 1842*w - 1837*w - v, -2*w + 0*v - 3*v + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -575. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -176*u + 13587. Calculate j(77).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001665883998 to six dps.\nAnswer: -0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2)*(-5 + 3). Suppose -5*d + q*d = 2. Suppose -3*l + d*p = -23, -2*l + 11 = l + p. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 2*n + 7. Let o be x(-5). Let l be 32\/18 - o\/36. Let g be 3\/(-1) - (0 - 1). Sort l, g, 3.\nAnswer: g, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -11.7. Let i = r + 1.3. What is the closest to 0 in 0, 1, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30704 and 1.6?\nAnswer: 49126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from ggfggggggggf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.125 - -0.025. Round i to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56663 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4192140059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgsssgigggggggs. Give prob of sequence sswg.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 22404076*p + 62742827676722.\nAnswer: 2*(p + 5601019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 minutes after 3:23 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4 - 1)*(-f**4 + 3*f**4 - 3*f**4) - 758*f**4 + 804*f**3 - 804*f**3 to n*f + r + u*f**3 + p*f**2 + b*f**4 and give b.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63205246, 63205251, 63205256, 63205261, 63205266?\n\"Answer: 5*m + 63205241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -12 + (-6 - 1) - (3 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1*1128707\/(-78747).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5916, 11751, 17588, 23427, 29268?\nAnswer: 35111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4 = k - 2*z, k + 4*z = 14. What is the least common multiple of k*5 + 8 + -12 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100420283 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233 and 17467078.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 13*y + 7. Calculate t(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176446.\nAnswer: 2, 88223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -3, -21, -45, -75?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*o - 3*n - 297, o + 136 = 2*n. Let p = o + 237. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 1\/6*g**3 + 0 + 1\/6*g - 1\/3*g**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 1 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 17502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51002233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/720 and -94\/164025.\nAnswer: 2624400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3174*f**3*q**3 + 4*f**3 - 3*f**2 + f*q**2 + 131*q**2 wrt q?\nAnswer: 19044*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*b - 2*b. Let k(j) = -1. Let t(u) = -164999*u - 4. Let r(o) = 6*k(o) - t(o). Let g be r(b). Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + 1425. Let v = -1480.99998566 + c. What is v rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81503*-0.042\nAnswer: 3423.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 785895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/438 and 35\/7592.\nAnswer: 22776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(3*r + r + 0*r)*(-4*r + 0 + 0).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1011158*s**5 + 10931*s**2 + 5*s.\nAnswer: -60669480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396007 a multiple of 825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - -3 - 40\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -725*b**4\/4 - b**3\/3 + 19*b**2\/2 + 40. Find the third derivative of z(y) wrt y.\nAnswer: -4350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 197*p + 42. Let c(f) = -10*f. Give j(c(r)).\nAnswer: 400*r**2 - 1970*r + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*r - 16 = 3*m, 0 = 3*m + r - 23. Let g(q) = -q**2 + 7*q - 7. Let f be g(m). Let w(j) = -j - 6*j - 12 + 6 + 5. Determine w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*t = -14*l + 642*t + 13, -3*l + 6*l - 2*t = 76 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1. Let t(i) = 2*i - 26. Determine -10*g(w) - t(w).\nAnswer: -2*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/4 - 1\/(-4). Suppose l*f = 2*f. Suppose -6 = v - 2*y - 2*y, 5*y - 25 = f. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082 - 2720773*x + 1082.\nAnswer: -2720773*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/2 or 31?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 61. Let i be (20\/(-3))\/(l\/(-66)*-1). What is the greatest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34416 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-54) + (2 - (-156)\/27). Suppose 6*x + o*x = 406. What is the remainder when 54 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 13*m - 27. Let q be s(2). Suppose -34*d + 33*d = -q. Solve 0 = -4*a + 5*b - 2 + 1, d*a + b = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let a(k) = -11*k - 1. Give 2*a(h) + 14*z(h).\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 5417*h - 2581*h - 2811*h.\nAnswer: -2*h**2 + 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*s + 50, 3*n + 2 - 8 = 0. Let x(h) = h**2 - 22. What is the tens digit of x(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1127938*i**3 - 1127989*i**3 + 5*i**2 + 2256099*i**3.\nAnswer: 172*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 4, v: 3, z: 1, q: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 5:10 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1531630771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 62*f**2. Suppose 18 = 174*b - 165*b. Let i(y) = 0*y**2 - 15*y**b + 17*y**2 - 6*y**2. Determine i(x(s)).\nAnswer: -15376*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9868, -9867, -9866, -9865, -9864?\nAnswer: -9863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-2))\/(-4)*-20. Suppose 2*c + 0*c - r = 0. Sort 0, c, -3 in decreasing order.\nAnswer: c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 + 10 + 2. Suppose a = -3*a + 132. Let v = -21 + a. Calculate the highest common divisor of v and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85701 and 1540021?\nAnswer: 2597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 6*q + 0*q + 487 + 227 + 544 in the form y + j*q and give y.\nAnswer: 1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/184 and -45\/56.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(-493))\/((-918)\/(-578))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-248)\/(-1023).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 + -462?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.7568 nanograms to grams.\nAnswer: 0.0000000857568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9800 and 5684.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1024167720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/38098577 and 79\/83124168?\nAnswer: 914365848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssujuusssuusssdssu. What is prob of sequence sud?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154029016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -331818 divided by -110606?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 514.3? (a) 2 (b) -359 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:39 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from jininiinbnijnnj?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let u be 2 + 2 + (-32)\/12. Which is the nearest to f? (a) 4\/5 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 7. Let h = 3 + -20. Let n = h + 17. Let i be (n - 3)*(-4)\/(-6). Let m(c) = -c + 2. Calculate i*b(f) - 7*m(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -70*u + 69*u. What is the second derivative of -23*r**5 - 45*r - 25*r + u*r wrt r?\nAnswer: -460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from iqliqwliqwiqtq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165087.\nAnswer: 3, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271995 + 274816 - 25551 = -3890*f for f.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 - 72*c - 52. Is g(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 6. Let l = -18 - -21. What is c(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641255046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210 + 75. Suppose -4*z + 103 = k, -5*k = -2*z - 186 - b. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - 239 - 6*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 13, 5164, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -18\/11?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.38 rounded to zero decimal places?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9*3*2. Suppose -12 = 6*f - u*f. Let k(p) = -p**2 - 5*p - 4. Let a be k(f). Solve 10 = -o + 5*o + 2*v, 5*o - a*v = 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -v - 4, -3*v - 4 = -v - 4*h. Suppose 0*o - 3*o = v. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdlrxllxbr. What is prob of sequence dl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 14. Let t = w - 10.3. What is the second smallest value in t, 4\/3, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/2*(-7002)\/(-10503)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 28 + 73 - 31 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001221010102 (base 3) in base 13?\nAnswer: -2c7113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*m**2\/5 + 867*m\/5.\nAnswer: -m*(29*m - 867)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1460*q**2 - 49*q + 48. What is the remainder when g(1) is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 434, 686, 956, 1244, 1550, 1874?\nAnswer: 2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 118*n - 111*n. What is the least common multiple of 65 and n?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, 303, 1334, 2779, 4626, 6863, 9478?\nAnswer: 12459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1215 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnngpgggggngggp. Give prob of sequence pn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*m - 6314 = -18248 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.15, -4, -3, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/4)*l*l*l**(-3))**(-23))**32)**12 assuming l is positive.\nAnswer: l**11040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 22*s - 328 = -b, 5*b = 2*s + 1548. Solve -305 = 3*i - b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k\/k**(-4)))\/k*k**(-1\/6))\/(((k\/(k\/(k\/k**(1\/4))))\/k*k)\/k**(-4\/3)) assuming k is positive.\nAnswer: k**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12*1*-2)\/(102\/(-272)). Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*x - 20 = 411*x, 0 = -4*r + 3*x - 42 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11740631 is divided by 1677233.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/64 and 17\/54.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:24 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*v + 112 + 204 = 0, -1278 = -4*c + 2*v. What is the least common multiple of c and 22?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + t - 40 = 0, 2*p - t = p + 8. Let d(x) be the first derivative of 0*x - 80\/3*x**3 - 5 - 3*x**4 + 98\/3*x**6 + 56*x**5 + p*x**2. Factor d(q).\nAnswer: 4*q*(q + 1)**2*(7*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-8 + 20\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73 + 2*o**2 - 2*o**4 + 73.\nAnswer: -2*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = d - l - 40, -2*d = 2*l - 70. What are the prime factors of 884 + (-73)\/12 + 3\/d?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 0.1, 182, 5\/3, -1\/7 in descending order.\nAnswer: 182, 2, 5\/3, 0.1, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4 + 9*d. Let n(o) = -8*o + 2. Let v(m) = m - 1. Let y(x) = -n(x) - 2*v(x). What is z(y(b))?\nAnswer: -432*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)*u*u\/(u**(-2\/3)*u*u)*u**(5\/4)\/u**2)**(2\/41))**(-13) assuming u is positive.\nAnswer: u**(-65\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*w**2 - 49949349*r + 52955398*w**3 with respect to w.\nAnswer: 2*r*w + 158866194*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(6)\/sqrt(3) - 5*sqrt(2)*-1.\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: dca52 (base 15) to base 8\nAnswer: 2531030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/12 + 6 + 2\/(-8). Let j = 22 + -21.7. What is the third smallest value in -0.5, j, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*u**3 - 21*o**2*u**3 + 2*o**2 - 37*o*u**3 - 5*u**3 wrt o.\nAnswer: -12*o*u**3 - 42*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 15. Let b be f(7). Let x(r) = r**2 - 3*r + 8. Let t be x(3). Calculate the highest common factor of b and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.2. Let u = 6.9 - 7. Let i = -1150\/9 - -128. Which is the nearest to u? (a) 0 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-84)*84\/9 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*3\/6)\/(-2). Let y = 6 - s. Calculate the lowest common multiple of y and (-64)\/80 - 44\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = z. Suppose -2*q + 3*q - 10 = z. Differentiate 7 - 9 - q + 10*s**2 wrt s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 665.5 + -662. What is the smallest value in 1\/8, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*w**3 - 3*w - 109*w**3 + 3 + 13*w + 50*w**3 as d*w**3 + o*w**2 + k*w + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2 + 136*q - 10080 = 0.\nAnswer: -70, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 130. Suppose 2*o - 4*j + 0*j + 40 = 0, j - 91 = q*o. Let d be (18\/(-4))\/(1\/4). Is o > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 16. Let w be 382\/4 - 1\/16*i. Suppose 5*s - 63 = -3*f + w, 207 = 4*f + 3*s. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/5*(-15)\/(-2). Let u = m - 2. What is the third derivative of -u*b**4 - 2*b**2 + 5*b**4 + 0*b**2 wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*a - 4*n - 957, 4*n + 20 = 0. Let v(m) = -m**2 + m - 2. Let f be v(2). List the prime factors of f + a\/(-10)*6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41325 - 14?\nAnswer: -41340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14941 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7603, 15210, 22817, 30424, 38031, 45638?\n\"Answer: 7607*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/10))\/(x**(-1\/5)\/x)*(x\/(x*x**(-1\/3))*x)\/x*x**1*(x**(-2\/3))**(2\/7)\/(x**(-6)*x*((x*x\/x**(1\/3))\/x)\/x) assuming x is positive.\nAnswer: x**(1801\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -931, -932, -933, -934?\n\"Answer: -t - 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1065 and 68160.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9984*x - 9991*x - 31 + 19967*x. Calculate o(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.9992. What is s rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 7*d**2 + 39*d - 81. Give k(10).\nAnswer: 2009","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -s. Let q(n) = n**s + 7*n**3 - 1 - n + 2*n + 2*n**3. What is the tens digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201061 and 3325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16840164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + z - 22498 + 22497. Let v be (1 + -1)*2\/(-4). Suppose v = 4*f - 2*f + 5*k - 33, -3*f + 5*k = 13. What is r(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/4 - c**3\/3 - c + 4. Let i be r(0). Let b = i - -22. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:44 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-2 - -7) + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7 and 170.8111.\nAnswer: 177.8111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*t**3 - 63*t**3 - 98*t**3 + 199*t**3.\nAnswer: -55*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 = 3*w, -t = w - 2*w - 6. Let f = 851 - 854. Sort t, f, 4, -1 in descending order.\nAnswer: 4, t, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 1.175.\nAnswer: 3.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25382 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, k: 4, p: 2}. What is prob of sequence kkp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) 4 (c) -0.4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 + (-18 - (16 + -7)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17856, -35714, -53576, -71442, -89312, -107186, -125064?\n\"Answer: -2*k**2 - 17852*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61178 - -1040024\/17. Let y = -1.08 + 1.1. Which is the third biggest value? (a) v (b) y (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72463279.\nAnswer: 7, 37, 127, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 18 = -4*z - 0*z, 2*w + 5*z = -6. Does 8 divide 250\/8 - w\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 4. Let i(q) be the third derivative of -q**4\/12 - 5*q**3\/6 - q**2. Let j(n) = 5*a(n) - 4*i(n). Let g(t) = t**2. Calculate j(g(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 5) to base 13.\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {p: 1, f: 2, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 2 + 2 + 3*v**3 + 2*v as l*v + x*v**2 + m + b*v**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -4170\nAnswer: -1\/4170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 951 - 81 = -10*f. Find the common denominator of 24\/64 - f\/16 and 147\/6 + 2 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/20 + 5*k**3\/6 - 7*k**2 + 18*k. Let w be t(2). Solve 0 = -3*z - w*r + 17 + 10, -3*z + 3 = -4*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 44 = -16. Let a = 14 + j. Suppose u + 9 = a*r + 4*u, 3*u = r - 9. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4833768.\nAnswer: 2, 3, 31, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 2*s - 3. Let w be f(4). Suppose 4*p = w + 3. Suppose -p*n = -49 - 11. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -62799*a**2 + 3*a - 10. Let v be t(-5). Round v to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.028605 microseconds?\nAnswer: 0.00000015047675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*i = 39, 4*i = -4*o - 130 + 54. Is o smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:29 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3342 is divided by 629.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 11872 (b) -0.01 (c) -15 (d) -31 (e) -5 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -222. Let g(x) = -2844*x**3 - 5*x - 3. Is g(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (sqrt(450)*6)\/sqrt(10) + ((sqrt(5) - (sqrt(5) + 0))*5 + sqrt(5) + sqrt(5) + 1 + 2)**2 + 5.\nAnswer: 38 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**7\/70 + 241*n**6\/120 - 4625*n**4\/12 + 2207*n**2. What is the second derivative of v(s) wrt s?\nAnswer: 36*s**2 + 1446*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22671.\nAnswer: 3, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*s + 7*s = -24, 2*s = 2*j + 12. Let t = -15 - -6. Is (-2)\/j + (-1266)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w + 55. Let m = 52 - w. What is the remainder when m is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.97 (b) -1\/4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1971\/7 + 282. What is the third smallest value in -5, z, 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68447980*d**2 + 89301*d + 13 wrt d?\nAnswer: 136895960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -0.4764 (c) -3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1158 and 17563.\nAnswer: 105378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -59 - 0 - (3941 - 3989)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.1. Let o = 343062.6 + -343063. Which is the second biggest value? (a) 1 (b) -0.3 (c) o (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g - 359 + 609 = -518 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456 is divided by 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - g**2. Let l(i) = 5*i**3 + 4*i + 2. Let o(z) = l(z) - 4*t(z). Let x be o(-2). Suppose -2*r + 6*r - 20 = 0. Solve x*p - p = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 8*b**3\/3 + 5*b**2\/2 - 5*b - 1286. Let x = -6 + 9. Let m(f) = -2*f + 12*f**2 + 6*f - 7 + x*f. Give 5*m(g) - 7*z(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - -45) + 36 + (-9 - -8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 19. Let k be u(19). Suppose -9 + k = -3*o. Is 12 a factor of 37\/o - (-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-2 + 8\/3). Suppose h + 2*j - 4*j = 6, 0 = -h + 5*j + k. Calculate the least common multiple of (-9)\/54 - (-605)\/30 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 246*y - 243. Let b be x(1). What is the fourth smallest value in b, -5, 0, 4\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 73*g + 12 = -71*g, -g = 4*s - 13. Solve -3*v + s*v - 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrrgrgqggajgrjg. What is prob of picking 2 j, 1 q, and 1 r?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -0.385\nAnswer: -0.00385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -102134 (base 5) to base 3\nAnswer: -11200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3922 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 3. Let g be l(-4). Let s(a) = -1. Suppose -5*b + 11 = -4*f + 41, -4*f + 24 = -2*b. Let q(n) = -n + 11. Let k(i) = f*s(i) + q(i). What is k(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183*b**2 + 5*b**3 - 7*b**3 - b + 2 + 168*b**2 + 10*b**4 - 52*b**4 to r*b**4 + w*b**3 + o*b**2 + h*b + y and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -86575, -86576, -86577?\n\"Answer: -a - 86574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 + 2 - 92*n.\nAnswer: -92*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5\/2, -32 in decreasing order.\nAnswer: 5\/2, -19, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 32. Suppose 3*p - 2*l = l + 39, 0 = -5*p - 4*l + d. Calculate the smallest common multiple of 12\/(-3)*1\/(-4) and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**12*z*z\/z**(-12))\/(z**(2\/19))**(5\/4))**(-18) assuming z is positive.\nAnswer: z**(-8847\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + 23237 + 45483. List the prime factors of y.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/703679?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 2019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 93 + 98 + 95 - 286.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**4 + 15*z**3 + 5535*z**2 + 41425*z + 35910 = 0.\nAnswer: -27, -7, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4 + 7 - k**2 - 3*k + k. Let j be d(-3). Suppose 2 = p, 2*u - 138 = p - j*p. What is the greatest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/29, -8.03, -3, -2 in decreasing order.\nAnswer: -6\/29, -2, -3, -8.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -39. Let k = 1 - 1. Let u = m - k. Do -2\/15 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 28*f**2 - 27*f - 28. Suppose u + 4*z = -15, -u + 39 = -2*u + 4*z. Let p be q(u). Put 4, 2, p in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 203*t - 803. Let w be f(4). Solve -34 = 8*u + w*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - j**3 - 2*j**3 + (-274111*j**2 + 0*j - 25 - 2*j + 274106*j**2)*(8*j + j + j) to w*j**2 + q*j + a + z*j**3 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*g**2 - 11*g + 122*g**2 + 4 + 156*g**2 + 445*g**2.\nAnswer: 815*g**2 - 11*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**4\/7 - 6*a**3 - 58*a**2\/7 - 30*a\/7 - 4\/7 = 0.\nAnswer: -2, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1)**2 + 0.\nAnswer: -18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 2, v: 2, f: 1, a: 4, k: 2}. Give prob of sequence uvfl.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 24*w - 1. Let t be l(3). Let i = 50 - t. Let d = 33 + i. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1886, -3770, -5654, -7538, -9422, -11306?\n\"Answer: -1884*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/11, -0.3, 1, -76, 2\/225 in decreasing order.\nAnswer: 1, 2\/11, 2\/225, -0.3, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 7)\/((-12)\/(-8)). Let c be (5\/p)\/(2\/(-12)). Solve 2*j - c*j - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p - 3*b = -43, -5*p + 130 = -2*b. Let s = 61 - p. Suppose 5*i - a = 138, -i + 3*a = a - s. What is the highest common factor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 2*v**2 - v**2 + (26*v + 6*v - 14*v)*(0 - 1 + 3)*(1 + 0*v + 2*v + 1).\nAnswer: 69*v**2 + 72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93643447 + -93472206.0156. Let n = g - 171195. Let v = -46 + n. What is v rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:56 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 363? (a) -0.04164 (b) 3\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 16, d: 4}. What is prob of sequence edde?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-72)\/((-72)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 - 228 = -3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p + 1. Suppose -16 = 3*h + 8. Let r = h + 5. Is i(r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*4 - (-37882)\/(-4433))\/((-3)\/(-22))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - 0.5. Suppose 5*o + k = -215, 0*k = -o - 2*k - 34. Let b = -49 - o. Put b, l, 2\/7 in decreasing order.\nAnswer: 2\/7, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -5 + 2 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -39 in increasing order.\nAnswer: -39, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2560 and 2202880.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 less than or equal to -5543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 63. Let r = 3 - 5. Put x, r, 1\/3 in descending order.\nAnswer: x, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/6)\/((-8)\/108)*4*169\/(-1014)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/435220 and -83\/261132.\nAnswer: 1305660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5072000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 19*b - 29. Let x be g(21). Let o = x + 282. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -73, -74, -73, -70?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llqx when four letters picked without replacement from lclllcxllclqlcqx.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 14. Let u(h) = -8*h + 4. Let g be u(-4). Let y = g + i. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/36163476 and 74\/1845?\nAnswer: 180817380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -23. Let m be (-3*(-14)\/r)\/(1\/3). Does 4 divide (-228)\/(-42) + m\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 649901 and 6583.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -7?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119544333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 2. Let c be u(-2). Let j = -25 - -49. Calculate the greatest common divisor of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*r - 38, m + 337662*r - 16 = 337663*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1851372 minus -4?\nAnswer: -1851368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1, 5 in decreasing order.\nAnswer: 38, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-100)\/(-700) + 11337\/21 and 864?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:32 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38232600 divided by -19116300\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w + 6 = -3*o, -o + 15 = -4*w. Solve 0 = -o*a - 5*g - 8, -a - 4*a - 2*g = 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120756 + 88310 = 4862*l for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 0.19.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let x(p) = -65*p**2 + 60*p + 27. Let n(b) = -33*b**2 + 36*b + 14. Let c(g) = 5*n(g) - 3*x(g). Let d(q) = -6*q**2 + 2. Give z*c(f) + 11*d(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 235, -3, -1\/9, 4, -21 in decreasing order.\nAnswer: 235, 4, 2, -1\/9, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2108 - 5036 = -147*y - 229*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (21 - (16 - (10 + -5))) - 29.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 30\/9)\/(169\/(-39))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2154566.\nAnswer: 2, 71, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h**2 - h + 7. Let m = 10757 + -10694. Calculate the smallest common multiple of v(5) and m.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -60. Let t = o - 1. Calculate the remainder when (-4)\/(-6)*459\/18 - -1 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199035 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*u, -5*n - u + 2 = u. What is the closest to -0.7 in 0.35, n, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -84. Let l(t) = 85*t + n + 0 - 168*t + 86*t. Determine l(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/25 + (-46)\/(-10). Suppose 5*a - p = -0. Suppose 0 = -2*q + 25 - 21. Solve -q*c + 3*c = -a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/2 + 7704*b**3 + 9*b**2\/2 - 23109*b - 15408 = 0. What is b?\nAnswer: -1, 2, 5136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -38, -0.1.\nAnswer: -38, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001387186 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 17*a**3 + 148*a**2 - 298*a + 10. Determine b(2).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000945675 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 537, 536, 525, 498, 449?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.026 - -0.074. Let r = -3435\/4 + 859. What is the nearest to i in 0, -2\/5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 20 - 3 = 4*p, -p - 14 = -4*x. Let k(w) = 2*w + 4. Let o(y) = -2*y - 3. Let a(z) = 4*k(z) + 5*o(z). Calculate a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 1293*y - 1293*y + 3814*y**2 + 20*y**3 - 3814*y**2.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/9))\/k*k**(-3\/10) assuming k is positive.\nAnswer: k**(-17\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*i = -182*i - 3*c + 40, -4*i - 5*c = -45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (5 - (3 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-72)*-2*-1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, -3, -325, -4, -19, 2 in decreasing order.\nAnswer: 2, -3, -4, -5, -17, -19, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.7, 2\/13.\nAnswer: -1\/2, 2\/13, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6729 and -49715051402.\nAnswer: -49715044673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(-2*-1*sqrt(13) + sqrt(130)\/(sqrt(40)\/sqrt(4))).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 5*b**7\/42 + 7*b**6\/6 - 9*b**5\/4 - 335*b**4\/12 - 40*b**3\/3 + 210*b**2 + 706*b. Find v, given that c(v) = 0.\nAnswer: -7, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/2)\/((-1*7\/49)\/((-114)\/(-399))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 92*y**3 - 14*y**2 + 31*y - 1. Let r be g(2). Is 752 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 4, 3, 1, -4256?\nAnswer: -4256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/85*7985\/(-6388)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.91 - -0.61. Let h = 0.95 + t. What is h rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/4 + 10*s. Let h(y) be the third derivative of y**5\/20 + y**2. Determine h(x(j)).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 44 + 60 = 0. Let c = -35 + h. What are the prime factors of c - (-3 + 1)\/(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1)*(-17 - 64\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 439098561 by -4059.\nAnswer: -108179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484220372?\nAnswer: 2, 67, 9269479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 23*s**3\/6 - 3*s**2 + 9*s + 67. Let z(t) = 7*t**2. Give z(v(g)).\nAnswer: 3703*g**2 - 1932*g + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 464016, 464017, 464018, 464019?\n\"Answer: z + 464015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + 1 + -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 309 - 123. Suppose 0*k = 4*k + u - j, -5*k + 3*u + 241 = 0. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**5 - 790*u**4 - 60*u**3 - 136533*u**2 - 2*u wrt u.\nAnswer: 60*u**2 - 18960*u - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -335451728 divided by 117127?\nAnswer: -2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 9. Let o be (8\/(-10))\/((-4)\/l). Let d(g) = 3*g**2 + 5*g + 6. Let v(u) = -4*u**2 - 5*u - 6. Let h(k) = -3*d(k) - 2*v(k). Give h(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*((5*g - 5*g - 4*g)*(0*g**2 + 2*g**2 - 4*g**2) + (0*g - 2*g + g)*(-1 + 2*g**2 + 1)).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - (-246 + 259)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/2 (b) 27 (c) 0.3 (d) -17 (e) 0.0013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 97 - 128 = 0. Suppose -x + j = 4*x. Solve 2*y + y - 4*q = -x, q + 12 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 755.\nAnswer: 1\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1030, -39, -4 in decreasing order.\nAnswer: -4, -39, -1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 55, 5, 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370 - 722 + 15*t**2 + 352.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12379399 to the nearest integer?\nAnswer: 3518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -996.6+4\nAnswer: -992.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, -3, 104, -5, 0, 2 in ascending order.\nAnswer: -5, -3, 0, 2, 3, 11, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(975)*1 + sqrt(39))*4)\/((sqrt(12)\/(sqrt(8)\/sqrt(2)) + sqrt(3) - sqrt(3)) + sqrt(36)\/(sqrt(300) - sqrt(12))).\nAnswer: -288*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**4\/24 - b**2. Suppose -5*x - 2 - 3 = 0. Calculate h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 + 121. Solve r*c = 4*l - 5, 2*l + 6 + 29 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13534945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - 3*p**2 + 12*p + 8 - 11.\nAnswer: -3*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345*j**4 - 46*j**3 - 151*j + 886.\nAnswer: -4140*j**2 - 276*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 8 + 13. Let d = c - -12. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 - 111*u\/2 - 14 = 0.\nAnswer: -1\/4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295118 to the power of 1\/2, to the nearest integer?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -299*y + 5. Let k(c) = 1. What is -5*k(a) + m(a)?\nAnswer: -299*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6530 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 13*d + 25. Let k be s(12). Suppose -84 = -n - k. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 6*j**2 + 2*j - 12. Let y be t(-5). Let r be y - 94\/(-90)*-3. What is the third biggest value in 2\/15, 2\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose z*i - 3*i + 12 = 0. Suppose -1 = 4*y + 4*h + 15, h + 13 = -i*y. What is the smallest value in y, 3, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15110 is divided by 7553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1084033*i**3 + 41*i**2 + 281978782 wrt i.\nAnswer: -3252099*i**2 + 82*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1286 by -1286.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 1\/2*h**2 - 2*h - 1\/6*h**3 + 0. Let u(f) = 4*f - 4. What is -2*u(g) - 7*z(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 16*z**2 + 29*z + 3. What is u(14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:33 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17866887 to the nearest integer?\nAnswer: 4227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + 6)\/(25\/30). Solve 16*h = 7*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9799.663cm in millimeters?\nAnswer: 97996.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*g*o**2 + 63*g*o + 780*g + o**2 wrt o?\nAnswer: 28*g*o + 63*g + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 = -3*i, -5*g + 3*g - 2*i - 8 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7940.4 from 5177775.\nAnswer: 5169834.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.518 - -0.318. Let f = 63.6 - 83. Let w = f + 19. Sort l, -2, 9, w in increasing order.\nAnswer: -2, w, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + m = 4*m - 129, -3*m + 99 = -3*w. Let y = w + 49. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 2. Let j(l) = -12*l + 1. Let x(n) = 11*n. Let c(q) = -5*j(q) - 6*x(q). Let y(r) = 4*c(r) - 9*f(r). Find the first derivative of y(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49 - -24) + -186 + 78\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49305*a**4 + 12*a**3 + 12*a**2 - 43289214*a.\nAnswer: -591660*a**2 + 72*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.023082 hours?\nAnswer: 83095.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5, 30 in descending order.\nAnswer: 30, 18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 2*z**2 + 5*z**2 + 2 + 1. Let d(u) = -u**2 - 4. Give -4*a(v) - 3*d(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 69. Suppose 0 = 7*b - 17 - k. Suppose b*m - 831 = -189. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let f(t) = -9*t**3 + 2*t**2 + 4*t + 4. Determine f(n) + 4*z(n).\nAnswer: -9*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(1\/2)*w)*w\/w**(-2\/7)*w*(w\/(w*w**(2\/15))*w)\/(w*w**6) assuming w is positive.\nAnswer: w**(-913\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 40 = 6*n. Calculate the remainder when n is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -393.27 * 11.\nAnswer: -4325.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 5 (c) -1\/9 (d) 1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -153*3\/(12\/(-28)). Suppose -27*u + 44*u = y. Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11476\/3 - 3320389\/868. Is h at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122222 (base 3) in base 11?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 t when four letters picked without replacement from {a: 1, t: 4, s: 2, f: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 259 - 253 - ((3 - 1) + (-4 - 7))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5623 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-18 - 2060\/(-120)). Solve l*m + 30 = -2*v, 226*m - 221*m - 2*v + 10 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(42\/(-20))*(-41)\/((-205)\/45)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -863*b + 1826*b - 745*b as n*b + r and give n.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/20)\/((-1)\/6). Let z be ((-3)\/o)\/((-3)\/(-36)). Let s be z\/(-6) - (-16)\/(-24). Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -q + 185252, -4*q + 383499 = -4*p - 357517. Let y = q - 75353. Round y to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -139, -132, -105, -46, 57?\n\"Answer: 2*u**3 - 2*u**2 - u - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 190*x**2 - 35717*x\/2 - 36481.\nAnswer: -(x - 191)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*(6080\/57)\/16. Sort 8, -1, 0, o, -3 in descending order.\nAnswer: o, 8, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + (-12)\/((-756)\/507))*-3. Which is the nearest to -1\/3? (a) -0.228 (b) 0.5 (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/z*z**(-2\/11))\/(z*z**(3\/8)*z*z**(-5)))\/((z\/(z\/(z\/z**(-2))))\/z**3)**15 assuming z is positive.\nAnswer: z**(303\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -5*j + 3*z, -4*j + 3*z = -131 - 88. What is the greatest common factor of j and 20316?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 58?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + -41 - 4) + 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/10)\/(h*h\/(h\/(h*(h*h**(-12)*h)\/h*h))*h*h))\/(h**1*h*h**2*h) assuming h is positive.\nAnswer: h**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.83 + -1.58. Let n = 2.25 - w. Sort 0.1, 0.3, 5\/4, n in ascending order.\nAnswer: 0.1, 0.3, 5\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468518 - 468518 - 1002*q - 2*q**2.\nAnswer: -2*q**2 - 1002*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 + 207\/(-54))*-6)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.303 and -11.\nAnswer: 3.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let x(j) = 38*j**2 + 4*j + 7. Let i(g) = 39*g**2 + 3*g + 5. Let o(p) = 4*i(p) - 3*x(p). Determine o(d(a)).\nAnswer: 168*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397062 = 1364*s - 5981*s for s.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*d + 42 - 702 = 50*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 162096.\nAnswer: 810480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -585281 - -977022. Suppose -3*h + 3*m - 311563 = -17755, -4*h = -5*m + v. Let u = h + 327939. Round u to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -7\/18*k**5 + 0 + 22\/3*k**4 + 1\/135*k**6 - 34*k - 192*k**2 - 48*k**3. Suppose d(u) = 0. Calculate u.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + -0.52. Let w = 0 - 0. Put w, a, 3 in descending order.\nAnswer: 3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = k + p - 34, -2*k - 5*p = -43. Suppose -4*a + 33 = -k. Suppose q - 3*l = 11, -4*q - 5*l + 2 = -8. Solve y - q*c = 12 + 4, -5*c = 2*y + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d**2 - 106*d**2 + 33*d**2 - 20*d.\nAnswer: -13*d**2 - 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o - 188. Suppose -4*m - w - o = -224, 2*m + 5*w - 75 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i*i**(-2))\/i)))**(-46)*(i*i\/i**0*i*i)**(6\/17))**(-31\/4) assuming i is positive.\nAnswer: i**(-12307\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + 6. What is the common denominator of -63\/22 and (114\/l)\/(-3) + -2?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -3\/4 (c) 1\/2 (d) 2 (e) 4\/11 (f) -0.1 (g) -55\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -5.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -240*p**2 - 3*p - 121. Let z(o) = -119*o**2 - 2*o - 52. Determine 3*c(i) - 7*z(i).\nAnswer: 113*i**2 + 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 220 = 3*g - 5*g, 0 = -3*g - 12. Calculate the remainder when 316 is divided by z.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -ae?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 4*x + 14 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443810553 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -7. Let z be 2\/9 + 14\/i. Let w(c) be the second derivative of 13*c**5\/20 - c**4\/6 + c**3\/3 - c**2\/2 - 2*c. Give w(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y**2 + 43*y**2 - 96*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.64 from -5.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 25*v + 3*v**2 + 14*v = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -9*g + 8*g - 2*h, 12 = -4*h + h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296 by -8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -2. Let o be (-5 - (2 + -3))\/l. Put -0.5, o, 1 in increasing order.\nAnswer: -0.5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 (base 9) in base 7?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = 0, 2*a + 0*b = 4*b - 24. Let y = 37 - 37. Put a, 10, y in increasing order.\nAnswer: a, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k - 6*k - 7*k - 5*k - 2*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523 + 3 + (7 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d)**40\/(d**8*d*d**(5\/4)*d) assuming d is positive.\nAnswer: d**(-525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccig. What is prob of sequence gcic?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Let u = -46.7 - -48. Let p = u + -1.4. Which is the nearest to 0.1? (a) p (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-6 - 45 - -41).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {w: 1, e: 2, g: 1, b: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 11. Let j(i) = i**3 - 5*i**2 - 3*i - 6. What are the prime factors of j(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 = 3*k. Let v be k\/(-3)*(-9)\/(-2). Solve 3*g = -5*b + 9, 2*b - 4 = v*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -24 + 74120 - 23 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**3\/9 + 13075428*s**2 - 288506523947264*s\/3 + 865519454162944\/9 = 0.\nAnswer: 1, 14709856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 14*x**2 - 36*x - 19. What is r(-16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*3 + sqrt(2) - sqrt(2))*2*2.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10\/9, 2\/7, 0 in ascending order.\nAnswer: -10\/9, 0, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/19*1113\/9. Are 1117\/3 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/23 and 36\/253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7255 rounded to 1 dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -707 + 709. Solve -6*y - 2 = 3*l - g*y, -4 = 4*l + 4*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*f**5 - 500005*f**4 - 48669890*f**3 - 1565872320*f**2 - 16789084160*f - 795934720 = 0. Calculate f.\nAnswer: -32, -1\/21, 4858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3)\/(135\/(-18))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2527 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 10, -0.3, 2\/2031, -5?\nAnswer: 2\/2031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + d + 9. Let t(u) = 10*u**2 + 10 + 9*u**2 - 18*u**2. Let g(z) = 5*i(z) - 4*t(z). Give g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3960 = -3*r, -61*a + 56*a + 1320 = r. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 67*k + 5. Is a(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117945084 times 0.3?\nAnswer: 0.0353835252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = 4*b, -3*m - 12 = -2*b - 2. Suppose 4*y = -m*y + 35628. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. Let f = g + 15. What is the second derivative of -2*a**5 - 10*a**3 + f*a**3 + 2*a wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97, -97, -101, -109, -121?\n\"Answer: -2*w**2 + 6*w - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -8, -1.3, -3, -0.12, -2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 - -0.21. Let x = 164 - 163.5. Let y = -1.3 - -1.6. What is the third biggest value in c, y, x, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -5)*(-30)\/(-15). Suppose 5*f + 5 = 5*w, 2*f + 2*w + 0 = x. What is the least common multiple of 7 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 - -4.72. Let i = t + -5.0003. Round i to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 5*c - 19. What is the tens digit of o(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65044 and 1012.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/2, 127, -10\/3, -5, -1.93?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 6*n**2 - 4*n - 2. Let i = -234 + 330. Let u be 1\/3 - i\/18. Calculate r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6004056.82000044 - -6004039.82. Let c = 17 + f. What is c rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184 - 737\/4. What is the second smallest value in -3, q, 13, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-2 - -50) + -46\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -3. Suppose -g - 14 = -5*w. Let q(z) = -5*z**3 + 7*z + 5. Let s(v) = -3*v**3 + 4*v + 3. Let l be ((-2)\/(-4))\/(3\/72*-3). Calculate l*q(h) + w*s(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/648 and (-4)\/(-12) + (3 - (-3290)\/(-588)).\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 160\/14 - 12\/28. Let w = -2 - -7. Suppose 0 = t + 2*t + i - c, -2*t = -w*i - 13. Solve 0 = -3*l + l + 4*p + 20, t*p + 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1976, 1977, 1978?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540886947146066669\/6311892811840 + -126606563746\/1450535. Let y = 1\/395584 - o. Let r = y - 1594. Find the common denominator of 29\/7 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -23*v + 1. Let m(l) = -l**2 + 2*l - 10. Let h(r) = 18*r**2 - 39*r + 195. Let a(t) = 2*h(t) + 39*m(t). Determine q(a(i)).\nAnswer: 69*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/360 + 26*y**3\/3 - 27*y. Let u(f) be the second derivative of v(f). Let r(q) = 21*q**2. Determine u(r(i)).\nAnswer: 441*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 17*b + 374. Let c be n(-22). Suppose -3*g - 16 = 4*r - 8*r, -5*r - 3*g + 20 = c. Solve 3 - 15 = r*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4 - 5) + (15 - 18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 6*r**2 - 3*r + 15. Calculate t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g = -46 - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 62147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l. Let c(u) = u. Let f(y) = 5*y**2 - 35*y - 21. Let b be f(12). Suppose 6*h + b = 267. Give h*a(t) - 10*c(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 - 4*t - 7. Let q be x(6). Suppose -2*j = -4*d + 6, 4*d = q*j - 1 + 10. What is the units digit of 5 - 0 - 26*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 18 - 23\/4*s**4 + 0*s**2 + 0*s + 7\/3*s**3. What is the third derivative of y(l) wrt l?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 10*z**2 - 31*z + 203. What is j(6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2dde - 3c?\nAnswer: -2e1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67549 + -36461. What are the prime factors of h?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/9908 and -54\/12385?\nAnswer: 49540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 greater than or equal to 91.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1, 1\/2, 78\/11, 22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1058*b + 36077 + 953 = 0 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 7 + 1. Suppose 3 = v*x - 1. Solve -5*h = -x*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 5*v**2 + 5 - 2 + 2*v**2. Let d be l(3). Let z be (500\/d)\/(1\/(-198)). What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 20268 = 4524. Let s be (-4)\/(-10) - d\/205. Let v = 2 + 13. Calculate the highest common factor of s and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 27*v**2 + 128*v + 128. Let t be q(-31). Solve 6*j + t + 14 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, n: 2, q: 6, s: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/7 and 1041\/(-3300) - ((-42)\/175)\/(-3)?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2022.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5765*j**4 - 7*j**2 - 5*j + 176. Let k(i) = 3844*i**4 + 5*i**2 + 3*i - 117. Let l(z) = -7*k(z) - 5*v(z). What is the second derivative of l(c) wrt c?\nAnswer: 23004*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743.223 + -0.06.\nAnswer: 743.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 560050 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = -2*d. Let u = 289 - 10. Let r = u + -198. Calculate the highest common factor of d and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*a - 36, a + 54 = 3*n - 2*a. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4113.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -78443 greater than -78455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-3))\/(198\/18). Let c = 16\/11 + w. Solve -2\/9*m**2 + 0*m - 4\/9*m**4 - c*m**3 + 0 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3502, -10, -3, -31 in decreasing order.\nAnswer: 3502, -3, -10, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 12*t - 9*t = -6*t. Which is smaller: 1\/10894 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let a be d(2). Suppose -a*z - 11 = -29. Find the third derivative of z*c**4 - 7*c**2 - 4*c**4 + 9*c**2 wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 129*y + 20 - 9 - 83*y + 106*y. What is the hundreds digit of o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(975))\/(-1*1*sqrt(27)))**2.\nAnswer: 5200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4240 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 17. Let u(w) = w + 6. Let m(p) = -4*d(p) + 11*u(p). What is m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 139*q**2 - 232*q + 1139. Let l be j(5). What is the highest common factor of l and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 16091*g**3 + 3*g**2 + 8036*g**3 + 8040*g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/7))**(-25)\/(f**(3\/5)\/(f*f*f**(-2)\/f))*(((f\/(f\/(f**7*f)*f))\/f)\/f**(-6))**49 assuming f is positive.\nAnswer: f**(19899\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1110 - 1?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4391412?\nAnswer: 2, 3, 29, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*r + 46. What is the remainder when 58 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87371 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.46 + 6.6. Let x = -30 - -29.94. Let w = x + b. Which is smaller: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21701 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 395 and 432607555.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 12. Let x(i) = -3*i - 22. Give 2*x(p) - 5*y(p).\nAnswer: 4*p + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkkknkknnknn. Give prob of sequence nkkk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50511034 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76.519 and -1.5.\nAnswer: -114.7785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + v + v + (-11 + 24 - 31)*(v - 4*v + v) to q + x*v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/9 - 73\/90. Calculate the common denominator of p and 43\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*s, -4*b + 49*s = 44*s - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 76*d - 61. Let w be h(19). Suppose -5*u = 3*t - w, 0*t - 283 = -u + t. Suppose -q = g + 26 - u, -3*q + 759 = 4*g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66866659 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 11*o. Let p(r) = 17*r**3 - 23*r. What is 6*p(f) - 13*v(f)?\nAnswer: -2*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 12*a**2 - 2*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8895728374 minus 427?\nAnswer: -8895728801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12050897 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 63 * -32944.29\nAnswer: -2075490.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-333)\/12)\/((-6)\/(-16)). Let m = p + 144. Suppose 3*b = -16 + 70. Calculate the remainder when m is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - 12\/36. Let q(p) = -p**2 + 30. What is the units digit of q(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k**3 + 9*k**3 + 3*k**3 + 4 + 2 wrt k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45548 and 171572?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4158.9 + -4159. Let a be (-2)\/(-3) + (-2)\/6. Let k = 3.2 - 3. Sort k, a, u in increasing order.\nAnswer: u, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1246*d**3 - 2*d - 1387*d**3 + 4*d + 513*d**3 - d.\nAnswer: -2120*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 4:45 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r**2 - 1. Let x = 17 - 42. Let o be (-23)\/(-5) + 15\/x. Is l(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, z: 13}. Give prob of sequence yzyz.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 14455700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*q - 14 = -41, -19 = 2*w + 5*q. Let v be 1\/(-3)*w*1\/1. Suppose -v*u + 10*u + 1824 = 0. What is u rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 3948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) 1 (c) 48 (d) -0.2 (e) 5\/4 (f) -2.1 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6045*d**3 + 10*d**2 + 38*d - 1. Let f(w) = 24180*w**3 + 41*w**2 + 151*w - 5. Let t(j) = 2*f(j) - 9*i(j). Find the third derivative of t(a) wrt a.\nAnswer: -36270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 643240?\nAnswer: 5145920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaabcbcaa. Give prob of picking 2 b and 1 c.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-24))\/((34125\/42)\/(-65)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7546049.\nAnswer: 7, 154001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t - 694*t**2 + 16*t - 349*t**2 - 87*t**2 as c*t + s + w*t**2 and give w.\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57956454 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (161\/(-28))\/(10\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 802 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o - 68 = 0. Let x = o - 12. Solve 2 = -j, s - x = 4*j + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. Let q(c) = -c**3 + 3*c**2 + 1. What is the smallest common multiple of q(3) and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.2 and -0.75?\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54859998954*m + 4*m**3 + 54859998954*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 136 = -4. Solve 0 = -7*t + v*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 566 and 0.5.\nAnswer: 566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*x)*(-632*x**3 - 56*x**3 + 46*x**3).\nAnswer: -1926*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1455856.\nAnswer: -1\/1455856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**14*c)\/c)\/(c\/c**(-4\/7)) assuming c is positive.\nAnswer: c**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5891\/7 + -844. Calculate the common denominator of -1\/14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.6, 18, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**4 + 3*a**4 - 6*a**4 + (3*a**3 + 0*a**3 - 5*a**3)*(14934 + 516*a - 7474 - 7476) as k*a**2 + y*a**4 + g + r*a**3 + n*a and give y.\nAnswer: -1031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -35. Suppose o*j + 116 = 116. Solve p = -3*r - 2*p, j = -2*r + 2*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231041942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-9 + 225\/23). Let q = 356\/9 - x. What is the smallest value in -4, -3\/5, 5, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12956478?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g + 0*g**2 + 4*g**2 - 3 + 5*g - 3*g**2. What is the units digit of a(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1028)\/(-10) - (-1)\/5. Suppose -b*m + 101*m = -26. Determine j, given that -m - 232*j + 630*j**2 + 116 - 268*j - 135*j**3 - 135*j**4 + 17 = 0.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.2, 2\/9, 5704, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -42*h - 30 + 83. What is the least common multiple of h and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54520575187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15945552 greater than or equal to -15945557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/(-77))\/(4\/(-14)). Solve 4*y - k*r + 16 = 0, -5*y + r = -r + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/140 and 49\/46.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 47*v**3 + 1 + 47*v**3 + 12*v**4 + 10*v**4 as g + r*v**4 + u*v + h*v**3 + c*v**2 and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9186798, 9186803, 9186810, 9186819, 9186830?\nAnswer: 9186843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 684 and 99.\nAnswer: 67716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let l be (-647)\/(-10) + (-36)\/(-120). Let v(b) = 183*b**2 - l*b**2 - 96*b**2. Calculate v(n(y)).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + 113. What is the smallest common multiple of -2 + 0 + (0 - -13) and d(21)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**5*d**(-6) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 15893640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 44. What is the nearest to 2\/3 in 0.5, -4, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**3 - 8*q**2 - 11*q - 21. Give r(-3).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -5623?\nAnswer: 5622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*w + b + 1754, -3*b - 1326 = -3*w. Suppose 3*k = k - w. Round k to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let c = -7 + p. What is the nearest to -2 in 3, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 7. Let s be p(-5). Let g = s + 5. Suppose 0*w - 4\/3*w**2 + g*w**5 - 16\/3*w**4 + 14\/3*w**3 + 0 = 0. Calculate w.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -122977, -245954, -368931, -491908, -614885?\n\"Answer: -122977*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-57)\/76 - 311786\/8. Let c = -26133 - x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/(sqrt(9) + sqrt(18)\/sqrt(2)))\/(sqrt(108)*-3))**2.\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 - (4 + 0 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -677, 0.01, 2\/9, -7\/5, 2.\nAnswer: -677, -7\/5, 0.01, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-108) + 4\/18. Suppose 3*j - 42 = j. Suppose r*m = m - j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 16*a**3\/3 - 301. Let m(x) = x**2. What is m(j(t))?\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let j(y) = 9983497*y. Determine j(d(k)).\nAnswer: 19966994*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 - 33*f - 26. What is the remainder when c(-7) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 92 = 4*i, 5*x + 0*x = 4*i - 60. Let s(d) = 8*d - 26. What is the lowest common multiple of i and s(6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v - 12. Let x be n(4). What is the greatest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -224?\nAnswer: -1\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16295 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 21\/25, 0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - k + 2. Suppose 4*g = 20, 0*x - 10 = -3*x - 2*g. Let l be r(x). Find d, given that 2 - 9*d + 0*d - d + 4*d**l + 4*d**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let u(z) = 2*z**2 + 2*z - 1. Let k(x) = u(x) - v(x). Determine k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c180 + 3?\nAnswer: 4c183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/61 + 112\/305. Let z = -2.99 - 0.01. Suppose -2*b - 2 = -12. What is the third biggest value in b, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**4 - 2*b**3 + 22073*b**2 - 243*b + 7572?\nAnswer: -36*b**2 - 12*b + 44146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 6*c**2 + c - 7. Is 11 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 + -7 + 5) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14423319*c**4 - 39*c**2 - 569999*c wrt c?\nAnswer: -346159656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 22*i + 128. Let o(v) = -10*v - 64. Calculate 6*b(u) + 13*o(u).\nAnswer: 2*u - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-24)*(-5910)\/(-6501)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 10*f - 9*f + 2*m, f + 7 = 4*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15041 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6205 and 37470535.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 809, 1202, 1595, 1988, 2381?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 15*q**3 + 52*q**2 + 0 + 152*q**3 - 2 wrt q?\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:40 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1148*m - 948*m + 4 - 3 - 3*m + 0*m + 0*m + (0 + 1 + 1)*(8 - 3*m - 8).\nAnswer: 191*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + 2*b - 4*b)*(3 - 3 - 2*b) + (1 - 1 - b)*(-2*b + b + 0*b) + 2*b**2 + 8 + 12 - 23 in the form y*b + n + p*b**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -77, -3, -2, -23462, -4 in descending order.\nAnswer: 1, -2, -3, -4, -77, -23462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ggqsssuqqgggs.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 44 = -16. Let t be (54\/u)\/(7\/49). What is the highest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*n**3 - 14290461*a**3*n**2 - 866*a**2 + 25728*a*n**3 wrt a.\nAnswer: 12*n**3 - 85742766*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1, -15\/4, -1\/163, -3, -0.82?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2 - 65*w + 3. Let f be o(13). Let k = f - 676. Solve -4*a - 2*h - 4 = 0, 3*h - 2 = a - k*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a**3 - 12*a**2 + 24*a - 61. Let i be c(-19). What is i rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -57. Suppose -2*v = 4*h - 10, -4*v - 22 + 94 = -5*h. What is the remainder when z is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/157 and -50\/160611?\nAnswer: 160611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (645\/(-216) + 3)\/(3\/(-12)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 + 4040032?\nAnswer: 4040212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 118738279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 1 + b - 25*b**2 - b**4 + 0 - 17*b**2 + 41*b**2 to the form a*b**4 + o*b + z + j*b**2 + x*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 1174*v**4 - 4708*v**3 - 4712*v**2.\nAnswer: v**2*(v - 1178)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 933752.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/33764 and 73\/202.\nAnswer: 3410164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/14365 or 1?\nAnswer: 11\/14365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -123, -232, -327, -402, -451, -468, -447?\n\"Answer: u**3 + u**2 - 119*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 52*s**2 - 42325*s - 2430. Give x(814).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 820875 by -125.\nAnswer: -6567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhpjjhaj. Give prob of sequence hhpa.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 1377?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 18*k**2. Let c(x) be the second derivative of x**4\/4 - 8*x - 236. Calculate z(c(i)).\nAnswer: 162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/96 - 17*t**5\/240 + t**4\/6 - t**3\/6 + 10*t**2 - 12. Let w(a) be the second derivative of f(a). Factor w(b).\nAnswer: (b - 2)*(b - 1)*(5*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.1489753 rounded to one decimal place?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76\/5 + -15. Let v = 4.04 + -0.04. Let y = 0.2826 - -0.0174. What is the closest to -0.3 in v, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 30 = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b - 2*b + 3*b)*(2 - 2 + 2*b) - 3*b + 3*b + 2*b**2 + (-4*b + 4*b - 2*b)*(-b + 2*b - 2*b) + 3*b**2 - b + b)*(-b**3 - 2*b**3 + b**3).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38cc (base 14) to base 15\nAnswer: 2e55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 328983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 14. Suppose 22 = 15*c - 13*c. Let q = c - n. Solve -2*p - 8 + q = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2420 is divided by 354.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**2 + 46*m**3 - 24*m**3 + 3*m - 47*m**3 wrt m?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -86*z**2\/5 + 1208*z\/5 - 56\/5 = 0?\nAnswer: 2\/43, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109368733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 362259*u - 362258.\nAnswer: -(u - 362258)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x**2. Suppose 28*o = 27*o + 2. Let j(k) = 50*k**2 - 28*k**o - 24*k**2. Give j(m(l)).\nAnswer: -200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 + -9.2. Let o = -10.8 - c. Put -5, -4, o, 1 in ascending order.\nAnswer: -5, -4, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/7, -5, -1\/34087?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 8460.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758533.\nAnswer: 7, 251219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*l + 4*q, 2*l + 0*l = -3*q + 6. Suppose 8*j - 5 = l*j + 3*d, -4*d = j - 24. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 + 9*h**4 - 5*h**2 + h**4 - 2 + 2 + (0*h**3 - h**3 + 0*h**3)*(2 - 2 - 2*h) + (-h - h + 3*h)*(3*h**3 - 3*h**3 + 3*h**3)*(3 - 1 - 4).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let r be (l - -2) + (-3 - -1). Suppose 3*p - 15 = r, 0*d - 1 = d - p. Which is the nearest to 0.2? (a) -1\/4 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*g**2 + 5*g - 5*g)*(-6*g + g + 3*g).\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 531*s**3 + 4*s**2 + s. Let w(i) = 1064*i**3 + 7*i**2 + i. Determine 4*w(j) - 7*z(j).\nAnswer: 539*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*k + 97*k = -1350. Calculate the greatest common divisor of 25 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9720 - -13873. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.9 + -4936071.8.\nAnswer: -4936078.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 + 9*g + 7. Let z be c(-4). Suppose -z*r + 6*r = x + 256, 4*x = r - 100. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 12. What is the tens digit of n(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(126\/(-936))*-14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 389*l**7\/21 - 217*l**3\/6 - l**2\/2 + 726*l. What is the second derivative of n(v) wrt v?\nAnswer: 15560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3027956 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4313?\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56864236, 113728474, 170592712, 227456950, 284321188?\nAnswer: 341185426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14914770 divided by -4971590.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {c: 2, b: 5, v: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 11*g - 16. Let f be r(-9). Is -2 - (-2 - f - 155) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 17246?\nAnswer: 465642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 12 = 2. Let o(w) = 108*w**3 + 3*w**2 - 3*w + 1. Is o(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 64, 1\/8, 3, -1\/8, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23933 is divided by (10200\/375)\/(2\/20).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -57. Suppose -115*l + 15 = -110*l. Which is the third smallest value? (a) l (b) 1\/5 (c) -2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:08 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(3\/2)*k**(1\/10)*k**(-5)\/(k\/k**(-4)) assuming k is positive.\nAnswer: k**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + 4 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -82. Suppose -a - 3*l + 4 = 10, -5*l = -5*a + 10. Suppose a = m - 6*m + h. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 14*s - 10. Let y(n) = -17*n + 9. Let x(k) = 6*i(k) + 5*y(k). What is x(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/455 + 91\/49 + -2.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3353, -6453, -9311, -11933, -14325, -16493, -18443?\n\"Answer: -p**3 + 127*p**2 - 3474*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 1295.7 + -1296. What is the fourth biggest value in 10, -0.4, 0, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20213\/2 + 10104. Which is the second biggest value? (a) -93.2 (b) 2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -521.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 - 24\/(-10). Let b be -8 + -3 + (4 - o). Let g be (16\/12)\/((-6)\/b). Solve -4*v = -4*s + g*s + 14, 3*s + 12 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 13128794\nAnswer: 1\/13128794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 1421 - 1426. Which is smaller: 1\/163 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 14*a + 4 = 0. Solve 5*p = -q - a*q + 10, 3*q + 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 7*g + 941. Let a = 191 + g. What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 55\/242*18 + -4. What is the closest to 5 in -1\/2, 5, t, 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 47*v - 304. What is d(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 905316 divided by -24468?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -8 + (3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 2*g + 0*g**3 - 2 + 3 - 2*g**3 in the form c*g + v*g**3 + i + a*g**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -147, -497, -1071, -1863, -2867, -4077, -5487, -7091?\n\"Answer: r**3 - 118*r**2 - 3*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 13 - 155 = 0. What is the greatest common factor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pki when three letters picked without replacement from {o: 1, z: 5, p: 4, k: 1, i: 1, l: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13915 times 0.4?\nAnswer: -5566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*z**2 - 18*z**2 - 123*z**2 - 27*z**2 - 20*z**2 - 27*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1.73?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 0. Suppose 358 = 3*m - 5*o, -4*o = -u*m - 2*m + 236. Calculate the highest common factor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -x - 7*x. Let h = x - -107. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 11*g**2 + 45*g + 7. Let n be x(-14). Let l be (2 - 152\/28)\/(2\/n). Calculate the highest common factor of l and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -1. Let l = -2.546 - -346.846. Let g = -344 + l. What is the second smallest value in g, h, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -14 (b) 4\/9 (c) -2\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16739571 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - 4. Let t = 54 + i. Let h = t + -19. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57296641?\nAnswer: 57296641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5114.93 + -5136. Let h = -0.234 - 19.066. Let w = h - c. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:26 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 3. Let v be y(-6). Calculate the highest common factor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73960492\/245 - 301880. Are -1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7259450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4659.69 - 1.5.\nAnswer: -4661.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2603, -4561, -6519?\nAnswer: -8477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-3 + 2 - 2)*(2*q - 2*q + 2*q + (-4 - 2 + 4)*(-3*q + 6*q - 4*q)) - 4*q + 0*q + 2*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 11*d = -582. List the prime factors of d.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*f**2 - 219*f + 98*f**2 - 205*f + 101*f**2.\nAnswer: 2*f**2 - 424*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778271 times 0.5?\nAnswer: -889135.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15986 plus -705397?\nAnswer: -689411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 31. Let p = 47 - a. Let c = -9 + p. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (51 - (-5 + 28)) - 43.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 2*z - 7. Let u be n(6). Let r(k) = 2*k**2 + 4*k - 11. Let g be r(-5). Suppose g*v = u*v. Solve o = -v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + (-2 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 514*k - 10764. Determine y(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**3\/3 - 9*w**2\/2 - 5*w + 8. Let s = 22 + -27. Let x be o(s). What is the highest common factor of x and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2588334 and 51\/2711588?\nAnswer: 56943348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb8 (base 12) in base 8?\nAnswer: -3274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734550 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1\/51 (c) -15 (d) -162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16743 * -0.1.\nAnswer: 1674.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t - 15. Suppose -3*j + t*r = 20, -9 = -4*j - 5*r + 11. Suppose -2*q = 5*h - j*h + 23, -5*h - 4*q - 21 = 0. Is -2 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4408 + -5270. Which is smaller: -860 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2129*g + 71115 + 71737 = -2085*g - 63634 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 12077.\nAnswer: 60385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-3 - 4 + 4)*(-108 - 2871*o + 1436*o + 1434*o).\nAnswer: 6*o + 648","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23747447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -72*x - 4719. Give k(-66).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*t = 6, -5*i = 3*t - 4 + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10*w + 5*w = -2060, -2*z - 2*w = -2066. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1580 = -5*r - 3*t, -653 = -0*r + 2*r - 3*t. Let v = r + 1141. List the prime factors of v.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1230*y + 175. What is the remainder when h(1) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -13*w**5\/20 + 3*w**2\/2 - 16*w. Find the first derivative of m(u) wrt u.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6298 and 19832.\nAnswer: 932104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 53*n + 5022 = 0. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75968 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350.678g to micrograms.\nAnswer: 350678000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -134*t**2 + 2*t - 1. Let m(s) = 67*s**2 - s + 1. Calculate 3*c(x) + 5*m(x).\nAnswer: -67*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5364 = 109*i - 407*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1277ca (base 13) to base 16\nAnswer: -6cad7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 + 2*r**2 - 13*r**2 + 11*r**2.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*s - 7*s**2 + 2*s**2 + 580*s + 15*s**2.\nAnswer: 10*s**2 + 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*r**2*z - 180480*b**2*r + 4*b**2 - 2*b*r*z + 485002*r**2*z wrt r?\nAnswer: 4*b**2*z + 970004*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 - 6*q - 7. Let x be p(7). Suppose x = -3*y + v + 96, 0*y + 4*y - 129 = v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f + 11 + 2*f + 3 + 7. What is the units digit of h(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**7\/3 - 2*q**3\/3 + 12*q - 39. Let g(r) be the first derivative of m(r). What is the second derivative of g(l) wrt l?\nAnswer: -560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 67963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -501.748391 and 0.43.\nAnswer: -501.318391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/7 - 6*z**2\/7 + 9*z\/7 - 5. Factor r(s).\nAnswer: 3*(s - 3)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.7 (b) -1 (c) -2\/11 (d) -0.5 (e) -20 (f) -102\/53 (g) -1\/6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -256. What is the highest common factor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6453351 (base 7) in base 15?\nAnswer: 107ec9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(44\/198)\/(8\/(-234))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 174*o**3 - 33 + 3*o**2 - 17*o**2 + 66.\nAnswer: 174*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488*v + 3 = 1491*v + 3*b, -2*v - 3*b = 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*q**(2\/11))\/q*q*q\/q**4*(q*q**13*q)\/q*q**(-1\/11)\/q assuming q is positive.\nAnswer: q**(133\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.106546755 to 5 dps.\nAnswer: 0.10655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.09184 * -0.02.\nAnswer: 0.0418368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-1)\/5)\/(2\/(-25))*2 and (2 + -1)\/(1\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*u = -228, 216 = -2*f - 0*f + u. Let j = f + 744\/7. What is the nearest to -1 in -2\/3, j, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 - 29 = 0. Let p be (c\/9)\/((-3)\/18). Let a(l) = -3*l + 5 + p*l**2 - l + 0*l + l**3. Calculate a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-804)\/(-134) + -1 + (-127)\/60 and 4\/39.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Let w(a) = a**3 + 4*a**2 - 3*a + 7. Let l be w(-5). Sort l, 1, x in descending order.\nAnswer: x, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -848447 + 1?\nAnswer: -848446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2247.1 + 2387. Let u = -140 + p. Which is smaller: u or 31?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/(-27)*((-310)\/(-40))\/((-25)\/20).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965810.\nAnswer: 2, 5, 96581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.371 minus -588820211.93?\nAnswer: 588820211.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 2*s**2 + 2*s + 252. Determine k(0).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*u + 16 = 0, 5*u + 16 = u. Solve -y - i = -2*s, -4*y + 0*y - 3*s = -14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-366)\/(-120) - 25\/20. Is 13 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 68*k + 0 + 54*k in the form n*k + p and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -s, -23*s = c - 24*s. Sort c, 5, 227, -3.\nAnswer: -3, c, 5, 227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22261 - 16167. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 8. Let i(f) = f + 3. Let n = 2416 + -2405. Determine n*i(s) - 4*j(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/8, -2139, -0.6, 4, 0.3 in descending order.\nAnswer: 4, 0.3, 1\/8, -0.6, -1, -2139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - (-6)\/8)\/((-5)\/(-4)))\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d + 10. Determine x(6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 24 = -5*b, 0 = 3*b + 2*i - 18 + 8. Let s be (-7 - 90\/(-12))*0. Solve 0 = -4*v - b - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 75\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((400\/1300)\/(12\/26))\/((-2)\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**3 - 2*h**2 + 152*h + 152. Determine s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 6. Let v be b(-2). Is v less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h + 15. Let q = 395 + -394. Let x be l(q). Solve 6*c + x = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40921 or 40947?\nAnswer: 40921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -62232600 rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - 2*z**2 - z - 4. Let o be g(3). Let f = o - 49. Solve -5*q + 12 = -u + f, -2*u = -3*q - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4223 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*d - 7 = 12, 4*l - 8 = -3*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3559, -5 in increasing order.\nAnswer: -3559, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/66*-11)\/((-2)\/48)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 4*b + 2. Let t(i) = -3*i**2 - 6 + 7 + 3*i + 0. Calculate 2*q(k) - 3*t(k).\nAnswer: k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 1148 - 659. Let i = -98 - x. What is the remainder when i is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1383, 830, -91, -1380, -3037?\n\"Answer: -184*t**2 - t + 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4091 is divided by 2027.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 52947 = r + 4*r, 5*r - 25 = 0. Let z = -6182 + n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 55. Let j be (11\/(-33))\/(2\/q). Solve j*i + 3*o - 26 = -11, -3*o = 2*i - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -0.1 (b) -2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16298, -65991, -149072, -265535, -415374, -598583, -815156?\n\"Answer: g**3 - 16700*g**2 + 400*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + j + 6 = 14, 5*j - 22 = -4*p. Factor -8*f + p*f**3 - 8*f**4 + 4*f**4 + 5*f**3 + 4.\nAnswer: -4*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26344.8794 rounded to the nearest one hundred?\nAnswer: 26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -14, 18, 0 in decreasing order.\nAnswer: 18, 0, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 7:41 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 37. Let n(g) = -2*g + 4. Let w be n(-4). Let q(s) = s**2 - 9*s - 19. Let p be q(w). Is j(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 156 - 164. Suppose 2*v - i = -2*v. Suppose v = 6*s - s. Solve 0 = m + 3*m - s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -10*i + 286. Let j be (10\/1)\/((-1)\/(-11)). What is the highest common divisor of j and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-81)\/9)*-6*1. Let h(k) = 2*k**g - 41 - 42 + 83. Let v(f) = -8*f. What is v(h(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 - h. Let c(v) = -2*v**3 + 3*v**2 - v. Let u(m) = 3*b(m) - c(m). What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.952 + 29.379. Let m = c + -0.127. What is m rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + d**2 + 4*d + 28. Calculate the remainder when r(4) is divided by 222.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 13, 6, -1\/2, -4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 5*w**4\/12 + w**2\/2 - 4*w - 19. Let l = 2 + -3. What is j(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -2 - (-33 + 30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6247751235206*p**2 - 6247751235206*p**2 - 5*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/(h**3*h)*(h*h*h**(-1\/3))**(-7)*(h**(1\/4))**(-8)\/(h\/h**(-5)*h**(-2\/19)\/h) assuming h is positive.\nAnswer: h**(-1457\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4087.53 - 4105. Let p = z - -25.826. Let w = p + 0.044. What is w rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 57*g + 4. Let k be l(2). Calculate the highest common factor of 177 and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987976.\nAnswer: 2, 11, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 877494 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7467 + 7456. Sort 5, s, 2\/7, 0.1 in descending order.\nAnswer: 5, 2\/7, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 150*s**2 - 6447*s - 121. Give h(43).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - a = -19*o - 14, 22*a + 12 = 20*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.331, -4, 4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -2\/7, -3, 164?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5279234 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -83*j**3 - 3*j**2 + 3*j - 3. Let u be w(-4). Let b = -7849 + u. Round b to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 186 = 7*l. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 + -71 + 3\/((-24)\/31)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 34*u - 3. Let i(v) be the first derivative of -v**2\/2 - 663. Calculate p(i(g)).\nAnswer: -34*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268772747551*u**2 + 268772747551*u**2 - 10*u**3 - 14*u**3.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = -2*j - 2*z, -2*j + 3*z + 11 = 0. Let x(d) be the second derivative of -1\/12*d**4 - 5\/2*d**2 + 0 + 4\/3*d**3 + 4*d. Determine x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 2*h + 273. Let x = h + 393\/2. Let o = 4\/2007 + 54133\/28098. Calculate the common denominator of x and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 10851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19125846 or -2\/5?\nAnswer: 19125846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r = -29*r - 25. Sort -1, r, -43, 1.\nAnswer: -43, -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 = -150987*h + 151023*h. Let m = 19 + 17. Solve m*i + 5 = h*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8*l = 8. Is (-1573)\/(-44) + (-6)\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18267393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 11*b**2 + 18*b - 23. Calculate x(12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4*n - 8, -5*a - 115*n + 40 - 161 = -157*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:24 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**2*l**4 + 595534*f**2*l**2 - 105164*f*l**6 + 14*f*l**2 wrt l.\nAnswer: -216*f**2*l - 12619680*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o + 56. Let y be c(-6). Solve 0 = 5*z - y + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 5*n. Let r(b) = -4*b**3 + 9*b. Suppose -17*z = -24*z - 49. Give z*h(f) + 4*r(f).\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**5 + i**3 - 85*i**2 - 3*i - 721.\nAnswer: -60*i**3 + 6*i - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -132.31 > 25144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -0.32. Let k = z + 0.01. Let a = -177 + 174. Put -1, k, a in increasing order.\nAnswer: a, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 7*y**2 + 11. What is the remainder when 21 is divided by q(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(1 + (2 + sqrt(2736) - sqrt(2736)) + -3 + sqrt(2736) - (-2*sqrt(2736)*-6 + (sqrt(2736) - (sqrt(2736)*1 - sqrt(2736))) + 0))**2.\nAnswer: 4727808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9*c = 15. Suppose c*v = -2*o - o + 232, 0 = -o - 5*v + 74. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 5*g - 1. Calculate m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Which is the third smallest value? (a) k (b) -2\/5 (c) 0 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.5, -117, 2\/9, -3 in ascending order.\nAnswer: -117, -3, -0.5, 2\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193026.5 + 0.16.\nAnswer: -193026.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 444258 (c) 4 (d) -2\/7 (e) 0.3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1954363615 + 5.8.\nAnswer: 3.6045636385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 22 + 2. Calculate the least common multiple of c and ((-32)\/14)\/(932\/(-9786)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, m: 4, t: 2, y: 1, i: 1, p: 1}. Give prob of sequence tq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 1853\/1192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043 is divided by 259.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1995427, 1995483, 1995539?\nAnswer: 1995595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -4\/5, 2\/17?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.699 - -6.7. Let g = -93 - -92.899. Let n = g + f. Which is the biggest value? (a) 2 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**31))\/(v*v**(-8)\/v))\/((v\/(((v*v*v**(-24))\/v)\/v))\/(v\/(v*v\/(v*(v\/(v**20\/v)*v)\/v)))) assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*36\/(-270)*(-385)\/441?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + x + 3. Let w be z(0). Calculate the greatest common factor of 51 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4247.235 + 4162.2. What is u rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)\/(-2) - (-9 - -9). Let u(z) = -412*z**2 + 7*z. Let w(t) = 413*t**2 - 6*t. Let o(h) = 4*u(h) + 5*w(h). Is o(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/(-20))\/((105\/(-392))\/((-120)\/84))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 4*z**2 - 6*z + 9. What is the remainder when (255 - -1)*37\/74 is divided by a(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h - 435 + 792 = -791 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 13519 = -6*z. Let t = z + -876. Suppose -4*m + 55 + t = 0. What is the remainder when m is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 4552672131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 373390535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 176189403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 22*r**2 - r - 8. Let s be a(-11). Let t be 4 - ((-45)\/s + 3). Suppose t*h - 10*h = 108. Calculate the smallest common multiple of 12 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 994 = -3*z. Let m = 3089\/11 - z. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 = 14*n - 25*n. Suppose 9 = 4*d - d. Suppose x + 26 = d*x. What is the remainder when n is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3721\/12478 - -3\/734. Which is the second smallest value? (a) 0.1 (b) 0.4 (c) t (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) 0.1 (b) -4 (c) 4 (d) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/20 + 5*c**4\/8 + c**2. What is n in w(n) = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10541*g + 10544*g = 21 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66879\/35 - 9552\/5. Which is the fifth biggest value? (a) 3.4 (b) 1 (c) w (d) -3\/5 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29326, 58028, 86730, 115432, 144134, 172836?\n\"Answer: 28702*y + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 9*c + 1. Let f be s(-9). Let x be ((-192)\/(-36))\/(4\/6). Let n be 4\/x*2\/(-47). Are f and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 27*f**2 - 23*f - 1429. Calculate w(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*x + 2, 3*n + 18 = 5*n - 2*x. Suppose 8 - n = k. Solve k*j - 1 + 12 = 4*c, -4*c = -5*j - 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 2*g + 5. Let c be j(0). Solve 4*b + h = 25, 3*h + 10 = c*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020010000120 (base 3) to base 14\nAnswer: -12d72d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3584 and 2744?\nAnswer: 175616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678 + 17*n + 678.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305418 is divided by 712?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**2 - 27*r**2 - 111*r**2 - 10*r**2.\nAnswer: -122*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.54249ml in litres?\nAnswer: 0.01954249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -5 + 10 + 36. Suppose 2*l = u + 20. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1104 and 2.\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = 52. Let b be 5\/35 - k\/7. Solve 0 = 4*c - b + 22, 4*c = 4*g - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, f: 2, r: 1, o: 2, u: 2, c: 2}. What is prob of picking 1 o and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 + 5*d - 4. Let w be v(-6). Suppose 0 = -9*o + 17*o + 52*o - 240. Solve 3*i = o*i + w*x, x - 3 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109622 to the nearest 1000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -19, -1, -33382, 2 in ascending order.\nAnswer: -33382, -19, -1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s + 40. Let f = -6 - -4. Calculate the smallest common multiple of s and (-3)\/f*(-96)\/(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 518*l - 516*l = -11, -3*p - 10 = l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580 = -79*p - 53*p - 1664 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5254 (base 7) in base 10?\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28830303 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {p: 1, f: 2, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/102 and 33\/10064?\nAnswer: 30192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - ((-1)\/(-1) + -1). Calculate the remainder when (l\/(-10))\/((-6)\/195) is divided by -1*(3 - 5) + (24 - 17).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 74844.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0275 - -0.239. Let g = -112.6335 - u. What is g rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(0 + (-4 - -8)). Let p be (-9)\/(-2) - t\/2. Let u = -9 + 5. Which is the second smallest value? (a) u (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -153.1. Put -1\/4, 0.4, -0.1, u in descending order.\nAnswer: 0.4, u, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, i: 1, v: 2, u: 4}. What is prob of picking 4 a?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1088) - (-2 + sqrt(1088))) + sqrt(1088) + sqrt(1088))**2 - -2*(sqrt(1088) + 0)**2) + (2 + (2*sqrt(1088))**2 - (1 + sqrt(1088))*-5).\nAnswer: 232*sqrt(17) + 10923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131780 or 131804?\nAnswer: 131804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.10822 * -2794\nAnswer: 302.36668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -0.65, -0.4, -1\/5, -3\/14 in increasing order.\nAnswer: -0.65, -0.4, -3\/14, -1\/5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 26*l + 27. Let p be (4\/(-6))\/2*(-21 + 24). Give x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120.052 + -120. Let j = -0.05199436 + i. Round j to seven decimal places.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + h**4 + (-h**3 - 2 + 2)*(-1 + 2*h + 1) + h**4 + 7*h**4 - 3*h**4 + 50*h**4 - 459*h**2 - 48*h**4 + 27*h**2.\nAnswer: 6*h**4 - 432*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56 or 53?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5918995 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 1, d: 7, q: 4, b: 2}. Give prob of sequence qdqf.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -1, -3, 0.049, -0.003, 1?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 238114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {v: 1, r: 1, c: 1, u: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14))**16*(f*f**(-17))**(-1\/35) assuming f is positive.\nAnswer: f**(-7824\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4165316, 4165274, 4165232?\n\"Answer: -42*a + 4165358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316281?\nAnswer: 3, 7, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 1, w: 1, e: 1, q: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/8 + 53*w**2\/8 + 675*w\/8 - 729\/8.\nAnswer: (w - 1)*(w + 27)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 21 = 2*d, -d - 4*g = d + 6. Suppose -l + d*i + i = -12, -25 = -3*l + i. What is the remainder when 55 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1616765 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2 = 3*u, 62*k + u + 9 = 65*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 165. Let i be u(0). Let f = i + 9. Is (-24)\/(-30) - f\/5 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 7*x + 6*x + (x + 3*x - 2*x)*(1 - 1 + 1).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446*n**3*z**6 - 27*n**3 - 2*n*z**6 - 9*n*z**2 wrt z.\nAnswer: -53520*n**3*z**3 - 240*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y + 2*y - 2104*y**2 - 36 - 16 + 2105*y**2. Determine a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 60. Sort n, 5, -3, 4 in descending order.\nAnswer: 5, 4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 3)*(4*s - 6*s - 4*s + 3 - 3 - 3*s + (-3 + 4 - 2)*(-s + 0*s + 0*s)) to the form d + x*s and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2544)\/(-7950))\/(((-6)\/10)\/((-33)\/22))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 491.2 times -263\nAnswer: -129185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109094838 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.29 - -29.29. What is the closest to 17 in 0.5, w, 0.3, -0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/30 + 5*x**4\/24 + x**3\/6 - 7*x**2. Let k(t) = t**2 - 2*t - 1. What is the remainder when j(4) is divided by k(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 + -133. Let l be -2 - -1 - (0 + 2). What is the remainder when 3 is divided by x*(l - -2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 90.09548 millennia?\nAnswer: 900.9548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -498, -499, -500, -501, -502?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from frrripfoifpoffpirapi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 410412.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-561)\/(-51)*((-5)\/(165\/27) + 1). Let r(g) be the first derivative of 0*g - 1 + 0*g**k + 7\/3*g**3 + 15\/4*g**4. Find the third derivative of r(v) wrt v.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1007 + -0.1007069. What is a rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115374 (base 8) in base 11?\nAnswer: 2789a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, 0, 426, -1 in increasing order.\nAnswer: -3, -2, -1, 0, 5, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 389560 + -3?\nAnswer: 38955b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 85*c - 4. Let q(f) = -168*f + 9. Calculate -2*q(d) - 5*r(d).\nAnswer: -89*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/120 - 4*a**5\/15 + 17*a**4\/24 - 2*a**3\/3 + a**2. Suppose -98*v - 26 = -96*v - 2*z, 0 = -3*v + 4*z - 35. Give o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 + -8) - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.8 - -17.01. Let w = 0.01 - l. What is w rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2124546446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = k - r, -4*k - 27 = 905*r - 906*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -339, -687, -1049, -1431, -1839?\n\"Answer: -z**3 - z**2 - 338*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 47?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.14662 (c) 0.2 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Let l = 7 + -5. Let x = b - l. Solve x = -0*j - j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 3*z**4\/20 - 11*z**3\/5 - 279*z**2\/10 - 459*z\/5 - 4845. Factor d(v).\nAnswer: 3*(v - 17)*(v + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/5)\/((-90)\/24).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 4*b**3\/3 - b**2\/2 + 2*b + 4. Suppose 3*a - 61 = 2*a. Calculate the remainder when a is divided by k(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 850 + 758. What are the prime factors of p?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**2 + 74*a**2 - 44*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuyyyyuuyy. What is prob of sequence yyy?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27139, -108213, -243235, -432217, -675171, -972109?\nAnswer: -1323043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/8 + 95*v**3\/8 + 34*v**2 - 46*v.\nAnswer: v*(v - 1)*(v + 4)*(v + 92)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -250104325 (base 6) in base 2?\nAnswer: -10010001011111110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dntpm. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/43270 and -3\/13840.\nAnswer: 59885680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -43.9.\nAnswer: 482.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065187937 to the power of 1\/3, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -22. Calculate the remainder when 26 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1486, -1489, -1510, -1561, -1654?\n\"Answer: -2*v**3 + 3*v**2 + 2*v - 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -409e3 (base 15) to base 11\nAnswer: -12a906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/2)*c**12)\/(c**(2\/7))**(6\/7) assuming c is positive.\nAnswer: c**(1103\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1035 - -1049. Let y(v) = -15*v**2 + v**2 - v + v**3 + 0*v + 18. Let z be y(i). Solve 2*a - 2*g - z = 0, -22 = 3*a + 2*a + 3*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -2 - 8\/3. Let s = -0.2 + -0.1. Sort -5, q, s.\nAnswer: -5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(700))**2 + sqrt(7) + (sqrt(7) - (sqrt(7) + 1)) + 4.\nAnswer: sqrt(7) + 2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(1\/2))\/(u**(-1\/10)\/u))**29*(u*u**5)\/u*u\/((u*u**(6\/5)*u)\/u)*u**(2\/17)\/u**(-1\/4) assuming u is positive.\nAnswer: u**(46773\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22859*q - 2081066 = -720*q for q.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-9)\/(-6))*-266. Suppose -5*l + 365 = 5*i + 25, o = 2*l + 5*i. What is l rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b**2 + 4*b + 1471. Let m(n) = -3*n**2 - n - 488. Determine 2*l(y) + 7*m(y).\nAnswer: y**2 + y - 474","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -18.32. Let k = n - -0.08. Let m = -24.98 + 24.88. What is the closest to m in 5, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 208 - 197*r**2 - 9*r**2 + 19*r**2 + 417 - 208 in the form k*r**2 + s*r + q and give k.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -785.67 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 5*p - 3*k, 21*k - 82 = -12*p + 16*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*u = 13, 19457*p - 19462*p + 2*u = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646488633 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 1, i: 1, q: 2}. Give prob of picking 1 s and 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44260, -89342, -134426, -179512, -224600, -269690?\n\"Answer: -h**2 - 45079*h + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-5)\/30*-15. Suppose 0 = -4*y - d + 219 - 12, -5*y + 255 = c*d. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619687 is divided by 619625?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995848?\nAnswer: 2, 23, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00981 rounded to four dps?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 1, m: 4, t: 1, v: 2, k: 4}. What is prob of sequence nv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 9*w + 13. Let p be t(8). Which is the closest to 2\/7? (a) p (b) 3\/4 (c) 0 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -110101110000110000?\nAnswer: 110101110000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h - 75*h = -15. Calculate the remainder when 34 is divided by 1\/3 - (7 + (-310)\/h).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 7*n = 0. Suppose n = -3*m + 49 + 26. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25494723 or -25494722?\nAnswer: -25494722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/15 + 3344*u**2\/5 + 5424126*u\/5 + 8413999948\/15 = 0.\nAnswer: -1961, -1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 579.7 + -535. Let v = -45 + q. Let w be (-8)\/12*2\/(-4). Which is the second biggest value? (a) 1 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) + 1 + 2 - 5*(1 + sqrt(500))*6) + 0)**2.\nAnswer: 15444*sqrt(5) + 409709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 3*n + 4. What is the tens digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -117318116\/11 and -10665282 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64854, 129705, 194556, 259407?\nAnswer: 324258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 10*f**2 + 20*f + 27. Determine y(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 350*k + 374. Determine o(-182).\nAnswer: -2174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7041718 divided by -1?\nAnswer: 7041718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 715.794 centuries in millennia?\nAnswer: 71.5794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1275, 5177, 11675, 20763, 32435?\n\"Answer: -w**3 + 1304*w**2 - 3*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Let k(f) = 3818403*f**2 + f. Give o(k(v)).\nAnswer: 7636806*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004 (base 7) to base 9.\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 16*y - 14 - 3*y**2 + 7*y**2 - 3 + 26. What is the remainder when 39 is divided by k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 8*j**3 - 3*j**3 - 1 as r*j**3 + g*j**2 + z + u*j and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*k**4 - 174741*k**3 + 3229767*k**2?\nAnswer: 216*k - 1048446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 15) to base 10.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**3\/3 + 9*u**2\/2 + 6*u - 3. Let d be a(-8). Is -1 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*x - 9, 19 = -233*z + 237*z + 5*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21345765 (base 8) to base 11\nAnswer: -2644731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -39. Let m = 37145 - 37144.5. Sort -3, m, v.\nAnswer: -3, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 16 + 8. Let n be (105\/42)\/((-2)\/c). Suppose 276 = -n*q + 1201. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51840 * 3339\nAnswer: -173093760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 1. Is a >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 7*y + 1510. Let v = 162 + y. What is the remainder when 21 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391332?\nAnswer: 2, 3, 32611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -1, 0.02, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 58\/(-3))*(-214 - (-152)\/8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 167 = 4*m, -m - v - 10 = -58. Let i = 48 - m. What is the least common multiple of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 + 7*f - 8. Let x be s(5). Suppose -z - 6*o = -2*o - 28, -x*z + 3*o + 23 = 0. Calculate the remainder when 62 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9776, 78435, 264772, 627629, 1225848, 2118271, 3363740, 5021097?\nAnswer: 7149184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 + 53 = 10*c. Let a be (c\/(-3) - -4)\/((-12)\/18). Find z, given that -5\/4*z - 5\/4*z**4 - 5\/2*z**2 - 1\/4*z**a - 5\/2*z**3 - 1\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 25*n**2 + 13*n + 13. Let f(k) be the first derivative of 3\/2*k**2 + 2*k**3 - 15 + 3*k. Determine 26*f(m) - 6*t(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let w(d) = -43*d. Calculate 3*o(r) - w(r).\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/10195 and 57\/155.\nAnswer: 316045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340*r**6 + 70*r**3 - r**2 + 2*r + 17225 wrt r.\nAnswer: 40800*r**3 + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/2 + 29*i\/2 + 104 = 0 for i.\nAnswer: -16, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1792)\/(-60) - (-22)\/165. Suppose -6*u = -u - 825. Calculate the greatest common factor of y and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 10 = -3*a + a - 0*a, 2*a - 6 - 4 = -9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4 (c) 2.9 (d) -0.05 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21196189 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = -6*j + 468. Solve -2*l - j*r = -14, -l + 5 = 4*r - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/3, -1029, -1\/6.\nAnswer: -1029, -1\/3, -1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206 - -210. Let b = 0.2 - 0. Sort b, v, 1\/2 in increasing order.\nAnswer: b, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/3 - 347485036*p\/3 - 15093231280490162\/3 = 0. What is p?\nAnswer: -86871259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -419*s + 6098. What is the tens digit of d(-109)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/10)\/((-9)\/(-6))*250\/20\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 2\/199 (b) 15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/20 + 2\/(-8). Let p = -0.1 - 4.9. Let l = p + 5. Which is the closest to l? (a) 0.5 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -548 + 647*k**3 + 2519*k**2 - 1262*k**2 - 1257*k**2 wrt k?\nAnswer: 1941*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/60 - s**4\/24 - 2*s**2 + 26. Let w(h) = 2*h**2 + 8*h - 1. Determine 4*g(y) + w(y).\nAnswer: -2*y**2 + 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -615 (base 7) to base 10\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11 = 3*r, 0 = -8*r + 4*r + w + 7. Let n(x) = 11*x**2 - r*x**2 - 15 - 8*x + 2*x**2 + x**2 + x**3. Let f be n(-10). Round f to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-13 + -18 - -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 908 - 455 - 453.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (89 + -102 - (-45 + -1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:26 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6*p + 1 + 7*p)*(116*p + 91*p**2 - 116*p) to the form g*p**3 + n*p + w + a*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111325*p**5 - 222*p**2 - 9*p - 14245841 wrt p?\nAnswer: 2226500*p**3 - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a microgram in nanograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2465*g**3 - 232*g + 232. Let y(d) = 53*d**3 + 5*d - 5. Determine -5*c(p) - 232*y(p).\nAnswer: 29*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/2 - 2*q**3 - 9*q**2\/2 + 18*q - 48. Let b be c(4). Is 64\/5 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511836 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -2*(-7)\/(-2). Let y(u) = -u**2 - 10*u + 2. Let j be y(-10). Let v be j\/1 + (-6 - -2). Is v < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(12\/3))\/((-4)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:00 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -6 - (-5 + 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -10*i**3\/3 - i**2\/2 - 3*i. Let v be n(-2). Let o = v - 119\/3. Which is the third smallest value? (a) -4 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162 + 165. Sort 0, 4, y.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 141\/12 - (-2)\/8. Let b be 9\/4 - 3\/p. Suppose -48 = -b*m - 2*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337 + 420. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 562?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, i: 5, a: 2, v: 1, b: 1}. What is prob of picking 1 v and 3 i?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2628*y = -2597*y - 1086612. What are the prime factors of y?\nAnswer: 2, 3, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(32\/(-6))\/(-8). Let s(t) = -t**3 + 7*t**2 + 9*t + 3. Give s(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39280 and 9979575.\nAnswer: 2455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = -3*x + 798, 792 = 3*x + 3*b. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-360)\/(-14))\/((-9)\/(-42)). Let l(b) = -b**2 + 8*b + 165. Let u be l(0). What is the greatest common factor of t and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 15*q - 12. Let o be b(-6). Suppose 5*r - o*r = -n - 1, 0 = -4*r - n + 14. Factor -5\/4*u**2 - 5\/4*u**r + 0 + 0*u.\nAnswer: -5*u**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 5, -1\/2, -7, -0.1 in decreasing order.\nAnswer: 5, 3, -0.1, -1\/2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8) - 9\/(-36)*1. Which is greater: q or -33?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*c - 4*c. What is the closest to -1 in c, 1, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**4*r - 724*n**2*r + r + 653 with respect to n.\nAnswer: -4*n**3*r - 1448*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -110.2. Let f = 3 + -1.7. Let b = f + c. Is 4 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 28. Suppose -5*o + 4*i + 0*i = -15, -5*o = -2*i - 15. Suppose a = o*a - p. What is the greatest common divisor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 2*l**2 + 2*l + 10. Let p(d) = -3*d**3 - 3*d**2 + 3*d + 11. Let n(m) = 2*m**3 - 17*m**2 + 12*m. Let f be n(1). Calculate f*i(r) + 2*p(r).\nAnswer: 3*r**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -1\/35*s**7 + 0*s**4 - 2*s**2 - 1\/168*s**8 + 0 - 1\/30*s**5 - 1\/20*s**6 + 0*s + 0*s**3. Factor c(f).\nAnswer: -2*f**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 888 by -296.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (12 - -5)) + 16 + -10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 17 = -37. Calculate the lowest common multiple of 1 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - q, -2*w + 3*q + 185 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12402 and 7020?\nAnswer: 372060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -653*w**2 + 319*w**2 + 1 + 335*w**2. Let r(x) = 4*x**2 - 4*x + 7. Calculate 2*p(a) - r(a).\nAnswer: -2*a**2 + 4*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 233 (b) 4 (c) 111 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.12 + -1.42. Which is the closest to -1? (a) 6 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139860 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 696582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -15 (c) 0.3 (d) -0.5 (e) 0.5 (f) 0 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281 is divided by 393.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1348.3 - 583.9. Let w = t - 764. Sort -0.1, w, 3, 1 in descending order.\nAnswer: 3, 1, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 274595448 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -a + 3*a. Let f(m) = 2*m**2 - m - 5 + 4*m - 6*m. Does 22 divide f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a + 1. Let h(q) = -10*q - 1. Let f(p) = -2*h(p) - 3*w(p). What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.32555165 from -1630749.\nAnswer: -1630749.32555165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 1431381*m - 2862766.\nAnswer: (m - 2)*(m + 1431383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 1320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 11 + 11.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 4*q**2 + 9. Let z be g(-3). Let l(y) = y**2 + 11*y - 8. Let v be l(-12). Let j = -29 - -31. Solve v + z = -j*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/126 - 5\/18. Suppose -3*t + 5 - 26 = 0. Let y be (((-28)\/30)\/t)\/(-1). Sort -2, y, o in ascending order.\nAnswer: -2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*j**3 + 2 - 2 - 417*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwunnnuuuxne. What is prob of picking 1 u and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/12 - (-130)\/(-8). Let g(i) = i**2 + 17*i + 10. Find the common denominator of 121\/12 and g(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12940843?\nAnswer: 19, 193, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6045, 12088, 18131, 24174, 30217?\nAnswer: 36260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2690022927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 + 11*v**2 + 19*v + 19. Let s be ((-57)\/38)\/((-11)\/(-8) + -1). Let l(c) = -c**3 - 3*c**2 - 6*c - 6. Let t(a) = s*o(a) - 14*l(a). Factor t(x).\nAnswer: -2*(x - 2)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/18 + 8*g**3\/27 + 1. Let t(m) = 0. What is m?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 51 = -4*l, -p - l + 319 = 305 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(182\/(-21) + 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4320 and 348435?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 31576.6 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/7)*u**(-2\/7)\/u*u*u\/u**(-2)*u**(-3\/7)*u)\/(u**(-4)*u*u**(1\/7)*u)**(2\/151) assuming u is positive.\nAnswer: u**(4103\/1057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let b be (2\/4)\/(m\/52). Suppose -a + b = -0. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*y = -2*a - 33, -y - 159 = -4*a. Suppose -38*t = -a*t + 35. Calculate the remainder when t is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3765.195 tonnes to nanograms.\nAnswer: 3765195000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*((-168)\/(-6))\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103318, -103131, -102944, -102757, -102570, -102383?\nAnswer: -102196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8772 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*q + 135*q**3 - 261*q + 246*q**3 + 527*q.\nAnswer: 381*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*w - 43, -b = 3*b - w + 1. Let o(m) = -m**3 + 4*m**2 - m. Let l be o(4). Put b, l, 38 in decreasing order.\nAnswer: 38, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*g - 171 = 0, -z + 2*g = -0*z - 27. Are z and 33 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 1.05. Let y = 8\/9 - 86\/117. What is the nearest to 2 in 0, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -2, 35, -4 in increasing order.\nAnswer: -9, -5, -4, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2001213200 + 0?\nAnswer: -2001213200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 4}. What is prob of picking 2 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/5 of a minute?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5 - 222 + 222 - 4*x**4.\nAnswer: -4*x**4*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/18 - (-35)\/84*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 5. Let b(i) = -2 - u*i - 2*i + 11 + i + i**2. Determine b(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 20 - 2)*(3*u + 0*u - u) to l*u + i and give l.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.007743 times -54\nAnswer: 0.418122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 77 + 75 + 13*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + 14. Suppose 4*d - 57 = v. Let x be (-6)\/(-27) + (-837006)\/d. What is x rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 88. Suppose -4 = v - w. Suppose -3*m + 5*i - 4 = -m, -6 = -4*m + 3*i. Calculate the remainder when v is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11867 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12724 at least as big as 12722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 17. Let j be n(-3). Suppose -j*l = -12*l. Suppose 7*c - 2*c + 4 = 3*q, -q + 3*c = l. Solve 2*r = -r - s + q, -3*s + 4 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2979 + 2918. What is the second smallest value in r, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**2*q**3 - 13853*g**2*q**2 - 3*g**2*q + 3*g**2 + 2*g*q**2 - 3*g*q + 8955331*q**3 - 6*q**2 wrt q.\nAnswer: -6*g**2 + 53731986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -443\nAnswer: -7\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159472\/49 or 3255?\nAnswer: 3255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -379 less than -381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-50266\nAnswer: -50266.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 16. Suppose -35 = -3*l + k*j, -l + 44 - 9 = 3*j. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 24 + 1. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 80 = 5*w, 10*x + 63 = 5*x - 3*w. What is the fourth biggest value in -1\/8, 5, x, 3\/16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 34590192*s - 34590195.\nAnswer: 3*(s - 11530065)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q + 4. Let i be (3 + 2 + -16)\/1. Let b(y) = -9*y - 2. Suppose -5*d - f - 25 = 4*f, -3*d - 5*f - 13 = 0. Determine d*a(t) + i*b(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 32 = -g + 6*g, -4*g - 4*j - 28 = 0. Let i(w) = 17*w - 3. Let m(c) = -34*c + 6. Let f(n) = -9*i(n) - 4*m(n). Does 40 divide f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let z be ((-8)\/(-10))\/((-8)\/1220*-1). Let i = z - 82. Let n(l) = -i*l - 92 + 92 + 8*l. Calculate n(x(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/(-12) - (-9)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 12 = -3*y. Let q be (90\/(-20))\/((-6)\/y). Let l = 80 + -76. What is the closest to 0.1 in l, q, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -448.1957366779 - -45.1957371319. Let h = i - -403. Round h to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88005 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 4*c + 2. Let v be w(-6). Let l be -6*v\/(-15)*-1. What is f in -1\/3*f**l + 0*f**2 - 2\/3*f + 2\/3*f**3 + 1\/3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563 + 1121*w**3 - 544 - 1122*w**3.\nAnswer: -w**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582158.\nAnswer: 2, 37, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*z - 511*z + 2119*z - z + 2*z - 2*z + 3*z - 5*z + 3*z - z + z + z + 3 + 2*z - 3 + (2 - 1 + 0)*(0 - z + 0) + z - 3*z + 3*z to v + b*z and give b.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, v: 1, q: 9}. Give prob of sequence kkv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447 and 12745311?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 62 = -136. Suppose -k = -11*n + 9*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644 = -11*f + 1424. Suppose 9*n - 217 - f = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 2*f**2 + 18*f - 38. Let m be g(4). Suppose -r - 2*r + 7 = l, -3 = r - 5*l. Solve -4*b**m + b + 4*b**2 + 8*b - 3*b**r = 0 for b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6582 + 6587. Let y(f) = f. Let u(l) = -4*l - 4. What is n*y(g) + u(g)?\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25003112 (base 7) to base 16.\nAnswer: 222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k - 40. Solve -3*m + k = -1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 36*z - 4*z**2 + 36*z + (-39*z**2 + 145*z**2 + 134*z**2)*(3*z**2 - 5*z**2 + 0*z**2) to the form j*z**2 + i*z + b*z**3 + l*z**4 + h and give l.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 8) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11046.\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31840 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-18))\/((45\/54)\/(-5)))\/(501\/88677)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45258 divided by -397.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*c - 2*t, 5*c - 28*t + 11 = -25*t. Which is smaller: c or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n - 3 = 0. Let p be 7 + 0 + 6\/n. Let s(x) = -x**2 + 2*x - 3. Let h(o) = 10 + 0*o**2 - 3 + 0*o**2 + 55*o + 3*o**2 - 59*o. Give p*s(u) + 2*h(u).\nAnswer: u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 14 (b) 2 (c) 0 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -14 = 1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 - 10*j + 3. Let b be s(-6). Suppose -2*g - 5 = -b. Calculate the greatest common divisor of 121 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Suppose 3*a - 6 = -f*a. Let z be 6\/(-15) - (-231)\/15. Solve 0 = a*w - 2*x - 4, 0*w - 3*w - z = 4*x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*q - 4*q**2 + 0*q - 2 + 3*q**2 to m*q + n + l*q**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 14*h**2 - 31*h + 22. Determine x(-12).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 77, 179, 323, 509, 737?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 21 = -4*d, -31 = 5*d + q - 73. Suppose 50 = -d*a + 11*a. What is the remainder when 51 is divided by (-126)\/(-10) + 10\/a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z, -i + z = -5*i + 76. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*(2 - 1))\/((-18)\/(-27)). Suppose l*j - 4*j = -k - 61, 2*k + 248 = 4*j. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27732 + 4852. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 9*t + 15. Let q be u(-6). Let k(h) = -h**3 + h. Let z(n) = -n**4 + 2*n**3 + 2*n**2 - 3*n. Let c(i) = q*k(i) - z(i). Factor c(r).\nAnswer: r**2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-1)\/6 + 5\/(-60)). Solve t*i - i - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 11*h**3 - 2 + 7*h**3 + 2*h**4 - 2*h**2 + 3 as f + z*h**2 + w*h + n*h**4 + g*h**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmmvtttvvtvv. What is prob of sequence ttm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -299796 - -347763311\/1160. What is the common denominator of 77\/870 and d?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1302013 (base 4) to base 15.\nAnswer: 226d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*p - 3*p = -1642, -3*x = -5*p + 1223. Let j = -11095\/27 - x. Let i = -868 + 868. Is j not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x - 2. Let d(l) = 5*l - 3. Determine 4*d(m) - 5*v(m).\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -281 + 278. Let k = -21 + 19. Which is the nearest to k? (a) r (b) -1\/10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {t: 6, o: 13}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1474 (b) -0.1 (c) 1.86 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -4. Let l be (10\/6 - (-4 + 6))\/((-1430)\/(-660)). Let h = 9 - 4. Which is the second biggest value? (a) l (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + sqrt(143)\/(sqrt(891)*-2 + sqrt(11)))**2 + (-4*(-3*sqrt(13))**2 - sqrt(78)\/(-1*sqrt(6))).\nAnswer: -133794\/289 + 23*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1045*p**3*r**2 - p**3 - 38*p*r**2 - 2*p*r + 454393*p wrt r?\nAnswer: -2090*p**3*r - 76*p*r - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -697446.89 times -0.1?\nAnswer: 69744.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4\/12 + 4474*y**3\/3 + 10743*y**2\/4 = 0.\nAnswer: -9\/5, 0, 3581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135.08 - 130. Let i = 0.08 - l. Which is the second smallest value? (a) -1 (b) -1\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/22 and -89\/26788?\nAnswer: 294668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 328\/7. Which is the closest to -0.1? (a) 3\/4 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11367 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 255 + 0.0661\nAnswer: 255.0661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p + 5. Let b be s(-5). Let n = -25 + 30. Suppose n = 2*a - 5*t, -a = -3*t - 0 - 3. Solve -4*j = -a*j + b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64083 + 64201. Let k(c) = c**2 - 2*c - 3. What is the remainder when n is divided by k(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21787 - 14*y**3 + 21798 - 3*y + 14*y**3 + 49*y**3.\nAnswer: 49*y**3 - 3*y + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, u: 1, d: 1, s: 1, v: 2}. Give prob of sequence bs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80070 and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-222)\/(-15) + 3\/15. Solve 9*c - s = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128630 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 - -1) - -5 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/70)\/(24*(-78)\/3276)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1233*v + 968*v + 38175 = -663*v + 1559 for v.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(1 + 32\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -28*z + 1124. What is p(39)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-5) + (560\/15)\/(-28))*4*12\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2613 - 2613 - 158*l to j + q*l and give q.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4336681?\nAnswer: 223, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 1:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + b = -8, -b - 69 + 66 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 755*m**4\/3 + 6040*m**3 + 89695*m**2\/3 - 5152*m = 0 for m.\nAnswer: -96, -23, -7, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6124.141 kilometers in micrometers?\nAnswer: 6124141000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 712 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 8 + -6 + -12 + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(sqrt(50)\/sqrt(5))*6)\/(6*((-1*sqrt(55))\/sqrt(5) - sqrt(11))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7545, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - -3.06. Let u = p + -2.96. What is u rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 3. Suppose 2*v + g = -v. Let u be v\/21 - (-32)\/14. Which is bigger: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 433670?\nAnswer: 433667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1593909 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 272642616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose 0 = 2*o - 3*o - c - 1, 4*c = o - u. Suppose -10 = -2*j + 5*i - 3, o = 3*j - 4*i - 7. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((32 - 12) + 2 - 12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*l - 27, 3*u + 52 = -2185*l + 2189*l for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 4135*s - 74752. Calculate j(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315629104 divided by -8.\nAnswer: 39453638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404672*c - 101170*c - 101167*c - 101168*c - 101164*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*h - 9*h. Let p be (17 + -18)\/(((-2)\/(-166))\/h). Round p to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72976*v**3 + 1124*v**2 + 3*v - 4 wrt v?\nAnswer: 437856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/5 - 11*p**2\/5 + 934*p\/5 - 3496\/5 = 0.\nAnswer: -38, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 107635 divided by -11\nAnswer: -9785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/11)*k)\/k)\/k**(-2\/3)*k*k**10*k\/(k**21\/k) assuming k is positive.\nAnswer: k**(-239\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 823222991 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -121, -389, -913, -1777?\nAnswer: -3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + f**3 - f**2 - 3 + 6 + 0*f. Suppose 339 - 6063 = 6*b. Let c = 954 + b. Give k(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (1 - -1))*1. Let b be z + (-1 + 1)\/2. Let a be (-1)\/(b\/(-1)*-1). Which is smaller: a or 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 + 1 - 1) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:58 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1094, -1095, -1096, -1097, -1098, -1099?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 2271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4))\/((-13)\/(13 + -39)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21627*a = 4*s - 21628*a - 16, -4*s + 32 = 3*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 50.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011101101100111 (base 2) to base 16.\nAnswer: 4bb67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837581 not equal to 1837582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (12\/20 + 34\/(-340))*-10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2805 + -28073\/10. Calculate the common denominator of 3*2*22\/(-9) and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/14)\/d)\/d)\/((d\/(d\/(d\/d**(3\/8))))\/d))**33 assuming d is positive.\nAnswer: d**(-3135\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 991 - 297. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 6*l**2 - 4*l. Let w be q(3). What is the smallest common multiple of 48 and w\/6 + -9*1\/(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -83, -127, -171, -215?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o. Let s be p(1). Let x(w) = -w**3 + 9*w**2 - 8*w - 3. Let i be x(8). Let z be 34\/1 + (-3)\/i. Calculate the greatest common divisor of s and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 26 = 21*w. What is the highest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-1)\/(-10)*(-2)\/2.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -6, 4, 1, -1 in ascending order.\nAnswer: -8, -6, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10572 times -76.4\nAnswer: -807700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwcc when four letters picked without replacement from ccccccwcccwwcccccc.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*r**2 - 22*k*r*u + 68*k*u - r**2*u + r*u wrt r?\nAnswer: 2*k*r - 22*k*u - 2*r*u + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-1481 + -3)) + -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -12011112?\nAnswer: 12011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**4\/8 + 131*p**2. Calculate o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 8, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 12. Let y be c(10). Suppose 5 = -3*u - 7. Let l = y - u. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8806950 and -53\/330?\nAnswer: 96876450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22*f + 374. Let w(t) = -22*t - 374. Let l(j) = 2*p(j) + 3*w(j). Is 2 a factor of l(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 14*d**2 + 15*d + 23. Let r be j(-6). Let u be (-26)\/(-143) + 4\/(-22). Put r, 1, u in increasing order.\nAnswer: u, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 2343?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkg when four letters picked without replacement from {m: 5, k: 4, g: 5, i: 4, z: 1}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:42 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15258 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from qqqqqqqqhqqqq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24160, -24159, -24158, -24157, -24156?\n\"Answer: y - 24161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 17 = 7. Suppose -3*d = -2*c + 19, 0 = -c - u*d + 2*d - 3. Solve -k - 13 = 4*v + 2*k, 0 = c*k - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 2872 = -4*y - 3*z, 3*y - 2153 = 2*z. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76\/11 - -78\/11. Let k be 5\/1 + 37365\/(-1755). Let y = k + 148\/9. Which is the closest to o? (a) 0.4 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -651853702 + 0.1.\nAnswer: -651853701.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/3*((-28)\/(-154) + (-91190)\/2420).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 - 169*s + 876. What is c(5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 29.41651ml?\nAnswer: 0.02941651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 - 50*c + 190. Determine n(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4, -5\/3, 5 in ascending order.\nAnswer: -4, -5\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + -1 + sqrt(1900))**2*1.\nAnswer: -40*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 1 - 3*z**2 + 1 + 2*z**2 - 1. Let i be w(1). Let p(s) = s**3 - s**2 - s - 1. Let d(x) = -7*x**3 + 5*x**2 + 5*x + 5. What is i*d(h) - 5*p(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4245 + 6157. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + 0 + 0 + (0 + 1 - 2)*(-3 - r**5 + 3) + 11*r**5 + 4*r**5 - 2*r**5.\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005895323 by 417.\nAnswer: 2412219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.3 (b) 11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 322322123 (base 4) to base 16\nAnswer: 3ae9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 21 = 2*o. Let p be ((-2)\/(-19))\/(o - -3). What is the closest to -2\/3 in 2\/9, 1\/8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 1, p: 1, q: 1, x: 2, n: 2}. Give prob of sequence qex.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyozoyzoyzzoyzoyyyzy. What is prob of sequence ozyo?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -132712 divided by -626?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1134*n**4 + 2*n**2 + 5*n - 9. Let l(g) = -3406*g**4 + 7*g**2 + 15*g - 28. Let f(k) = -7*d(k) + 2*l(k). Find the second derivative of f(v) wrt v.\nAnswer: 13512*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 8*w - 2. Let c(y) = y**2 + y. Let l(z) = -5*c(z) + h(z). Let a be l(3). What are the prime factors of (5\/a)\/(4\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/1082575 and -21\/2165150.\nAnswer: 2165150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37229888057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + (1 + sqrt(75) + 0 - sqrt(75)) + -1*(sqrt(75) - -1*sqrt(75) - sqrt(75)))*6*-5 + -2)**2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 383208485 or 383208486?\nAnswer: 383208486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 13*i - 220. Let w be (-208)\/(-12) + (-108)\/81. Give b(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21822 + 31365. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1323))\/(sqrt(576) + sqrt(576)*-5).\nAnswer: 7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10439839829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0*x = 2*x + 2, 0 = 5*x + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12415*w**3 - 7*w**2 + 8*w - 1. What is the remainder when x(1) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 5, -2*c - p = 10. Let j be (-1 + 0)*(0 + 6). Find the common denominator of 37\/16 and (-76)\/(-48) + c\/j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -2, 124\/369?\nAnswer: 124\/369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:42 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -g + 168, -i - 4*g - 120 = -5*i. What is the units digit of i\/(-6)*(-3 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-7 + 10 + 5)) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**2 + 3*y**2 + 12*y**2.\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 215\nAnswer: 109\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -232 in ascending order.\nAnswer: -232, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32130332 - -20?\nAnswer: -32130312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 + -68. Suppose -6*b = -4*b - m. Calculate the highest common factor of 36 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111011 + 1011010101010100?\nAnswer: 1011100100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.309 + -15.909. What is the closest to 0 in -4, -1\/1158, f?\nAnswer: -1\/1158","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/12599 and 107\/2930.\nAnswer: 125990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/12)\/((-1)\/(-242358)). Let r = v - 416070. Round r to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from vvqv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*j + r - 14, -4 = 3*j - 5*r. Suppose 6 + 4 = j*q. Which is the biggest value? (a) 0 (b) -7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -409577 divided by -58511\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 14) to base 12.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.18958\nAnswer: 0.075832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2\/7))**(-27))**31)**(-39) assuming h is positive.\nAnswer: h**(293787\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6, -2*l - 9 = -3*a + 5. Is l < -0.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (-655)\/(-50))*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 251 + 17 = 0. Calculate the highest common divisor of f and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.7, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 477.2759.\nAnswer: -5727.3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 77716?\nAnswer: 77712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -126804518 to the nearest one hundred thousand.\nAnswer: -126800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65, -88, -101, -98, -73?\n\"Answer: a**3 - a**2 - 27*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/130)\/((-270)\/(-108))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:17 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3585 and 112569.\nAnswer: 562845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 77 = 125 + 158 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 - -3) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 3*q + 4*b, b - 119 = 3*q - 4*b. Is 1 + 20\/(-6)*q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143079.\nAnswer: 3, 37, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g. Let c = 3 + g. Let l be (4\/(-5))\/(c\/15). Let i(s) = s + 4. What is i(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 118?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*m**3 - 202*m**3 + 2 + 2 - 1 + 88*m**3.\nAnswer: -6*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -2 + 24 - (-2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 5*o + o + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from {n: 3, w: 1, f: 1, p: 1, m: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 + 5 = 0. Let w = -2146 + 2152. Solve w = 2*c - 2*d, x*c + 3*d - 8 = -22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 700 + -351. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + -12)\/((-12)\/(-16)). Let a be (33\/l)\/((-9)\/444). Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p. Let c(o) = 7*o**2 + 8*o - 2. Let i(v) = -c(v) + 6*y(v). Let k(x) = 5*x**2 + 9*x - 9. Determine 18*i(r) + 4*k(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45370980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*j - 32 = 0, 0 = -3*h - 2*h + 53*j - 54*j + 134 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:21 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -306\/5. Let m = 0.6 - 0.54. Sort m, 5, i.\nAnswer: i, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 669953906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*a - 2, 3*a - 5 + 1 = -5*m. Suppose -4*g - 44 = -4*q, 61 = m*q + 3*q - 3*g. Let d(w) = 45*w + 140. Let b be d(-3). Solve 11 = b*f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/6 + 3*c**3\/2 + 7*c**2 - 9*c. Let r(l) = -l**2 + 4*l + 7. Let b be 72\/(-189)*1029\/(-98). What is b*i(f) - 9*r(f)?\nAnswer: f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 13\/((-156)\/(-96)). Solve c*u - 4*n = -27, 0 = 2*u - 7*n + 2*n + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n + 29. Give h(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-4*1 + -1*(4*sqrt(88) + sqrt(88) + sqrt(88)))\/((sqrt(160)\/sqrt(4)*-5)\/((sqrt(5) + sqrt(10)\/sqrt(2))*5)).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**25\/a)\/a**22*a**(8\/11)*a*a*a**45 assuming a is positive.\nAnswer: a**(547\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:27 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -13. Let j = u - 1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57.54256um?\nAnswer: 0.05754256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h. Let q(s) = 3*s**2 - 19*s - 12. Let n be q(7). Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 - 46*z - 55. Calculate k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - 4*z - 7 + z - 2*z + z**3. Let g be v(6). Let j = g + 8. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*i**2 - 3*i**4 + i**4 - 30*i**3 + 208*i**2 + (-2*i**2 - 1 + 1)*(3*i**2 + 4*i**2 - 6*i**2) to m*i**4 + l + k*i**2 + t*i + a*i**3 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3 = -4*f - 0*f + 5, -14*l + 45 = -12*l + 5*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 0*n)*(-2*n**3 - 3*n**3 + 4*n**3) - n**4 - 2*n**4 + n**4 + 2 - 88*n**4 + 522*n**3 - 522*n**3.\nAnswer: -89*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -7715\/11253 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 2*h - 12. Let u = -2624 + 2622. Determine r(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65.723513 - 5\nAnswer: -70.723513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)*(n\/(n*(((n*n**(-3)*n)\/n)\/n)\/n))\/n)**(23\/4))**(-1\/19) assuming n is positive.\nAnswer: n**(-253\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 84\/72 - 185\/210\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 3 + -5 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*x - 216*l**2 + 139*l*x wrt x.\nAnswer: -2*l**2 + 139*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (8415\/90)\/(2\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 112 = -4*t + 3*f, -12 = -3*f. Suppose 0 = -2*m - 5*h + t, 20 = 3*h + h. Solve m = -2*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4002236076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n*n*n*n**6*n)))\/n*n\/n**(-2))**(-3\/8)*((n*n\/(((n\/n**(-2))\/n)\/n))\/n*n**(-2\/9)*n)\/(n\/(n\/n**(-4\/9))*n**(2\/21)) assuming n is positive.\nAnswer: n**(-1889\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -273*k**2 - 274*k**2 + 821*k**2 - 264*k**2. Let s(t) = -304 + 304 - 2*t. Determine s(o(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*b - 5*k + 2279, -4*k - 97 = -b - 19 for b.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 7*t - 415. Find the first derivative of t - 48 + 82*r + 27 wrt r.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1)\/sqrt(4) + sqrt(19) + -4*(sqrt(19) + 1*sqrt(19)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 1, r: 4, m: 3, d: 2, k: 3}. Give prob of picking 2 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/145638 and 79\/648?\nAnswer: 582552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23352588 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from etetzzetpze.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-13)*4\/10. Let s = -0.24 - -0.3. Which is the nearest to 0.1? (a) -0.4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -63. Let f be (h - 0) + -6*3\/(-6). What is the nearest to 1 in f, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m + 4. Let q = -6 - -3. Let g = -18 - q. Let v(x) = -15 - 14*x - 19*x + 6*x. What is g*d(s) - 4*v(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37719, -75437, -113155?\n\"Answer: -37718*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*d - 224*r + 222*r, 4*d - 43 = -3*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(4 + ((sqrt(125)*1 + 4)*-5 - ((sqrt(125) + (sqrt(125) - 2*sqrt(125)))*-1 + (sqrt(125) - (sqrt(125) + 0)) + 4)))**2.\nAnswer: -14100 - 4000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 2*n**2 - 2*n + 3. Let y be r(2). Let d be -1 + y + 3 + -1. Solve d*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -496*r**5 - 8*r**3 + 48*r**2 + 491*r**5 + 3*r - 4*r**3 wrt r?\nAnswer: -300*r**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.361643 milligrams to grams.\nAnswer: 0.003361643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h - 35. Let m be w(0). Is (-28)\/20 - 160104\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x - 5*x + 4*x + (-27 + 12 + 7)*(0*x + 4*x - 5*x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.25296122 rounded to 4 decimal places?\nAnswer: 5.253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*a**2*o**3*p + 2*a**2*p**2 - 22104507*a*o**3*p**3 - 15*a*o**2*p + 18*o**2*p**2 + 9890*p**3 wrt o?\nAnswer: 120*a**2*p - 132627042*a*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000244486 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 8*g**2 - 5*g + 4. Let u(i) = -2*i**3 - 8*i**2 - 6*i + 4. Let m(c) = 3*b(c) - 4*u(c). Give m(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86960080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.764026 years in months?\nAnswer: 33.168312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o*o**(2\/13)))))\/o**(1\/9))**(1\/8))**48 assuming o is positive.\nAnswer: o**(-62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86823, -86855, -86889, -86925, -86963, -87003?\nAnswer: -87045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95754514.\nAnswer: 2, 107, 447451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/33)\/(12\/(-36)). Let s = -0.03 - -0.03. Suppose d - 3 = 2*q, 0 = -4*q - 0*d + 4*d - 16. What is the nearest to s in q, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + 0.02. Let n be -3 + 4 + -2 + -4. Which is the third biggest value? (a) j (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -396026 and -0.02.\nAnswer: -396026.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-2) - 8\/40*(0\/4 - 15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + -44. Which is greater: v or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -881*p**2 + 29*p**2 - 2*p - 439*p**2 as i*p**2 + v + t*p and give i.\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/17 (b) 1917 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/20727 and -43\/739263?\nAnswer: 2217789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 33*d - 120 = 0. Let t = -31 + d. Let l(q) = -30*q + 2. What is the remainder when l(t) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - h**2 + h - 2. Let l = 6 - 4. Suppose -i + l = -0*i. Let o be t(i). Solve 3*j = -2*j - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -1535, -2298, -3059?\nAnswer: -3818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 7. Let f = 7 + s. Let h = -0.9 + 1.2. Which is the biggest value? (a) h (b) f (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -13 - 21*o + 1 + 12*o**2 + 9*o + 8*o**3. Let v(c) = -c**3 - c**2 + c + 1. Determine t(r) + 12*v(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -361.9 - -362. Let i be 4 - (-2 + 19 - 4). Let w be 12\/i*(-3)\/(-2). Which is the smallest value? (a) 1\/6 (b) 5 (c) w (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 2*u**2 - u. Let a(w) = w**3 - w**2. Let z(n) = 4*a(n) - c(n). What is the units digit of z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/999296 and 35\/464.\nAnswer: 28979584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/9838 and 37\/63317368?\nAnswer: 63317368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153869743?\nAnswer: 103, 613, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(1100) + sqrt(1100)*-2 + -3 + sqrt(1100) + 4)**2 + 4.\nAnswer: -260*sqrt(11) + 185905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(-1 + sqrt(720)) + -5 - (-5*2*sqrt(720) + 0))*-4)**2.\nAnswer: -230400*sqrt(5) + 18435600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:45 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/12 + p**3\/6 + p**2\/2 + 2*p. Let c(k) = -6*k**2 + 5*k + 3. Let i = 13 - -36. Let f = i + -45. Calculate f*v(a) - c(a).\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.547 in -11, 3, 33, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3983 + -51737\/13. Suppose -43*w = -38*w - 20. Suppose 14*c = 10*c - 16, 4*s - w*c - 28 = 0. Is s at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 0 - (-2 - 5). Suppose -2*s = -c*s. What is s rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123621995.\nAnswer: 5, 7, 37, 95461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.17 + 0.17. Let w = -15 - c. Let z = w - -11.999999. Round z to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 5 + 6 + 2*q. What is o(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 6:50 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 11 + 1. Let g(y) = y**3 + 2*y**2 + 2*y + 2. Let o(k) = -4*k**3 - 9*k**2 - 9*k - 9. Calculate h*o(d) + 9*g(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 312 + -0.83487.\nAnswer: 311.16513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aauuawaauwuau?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37961, -35352, -30989, -24878, -17025, -7436, 3883, 16926?\nAnswer: 31687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:25 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 303965537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254 + -246.52. Let z = 7.4799006 - y. Round z to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-4 - (8 + -1)) + 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -965030*x**2\/9 - 1930042*x\/9 + 4 = 0?\nAnswer: -2, 9\/482515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1105466\/7 - 157918. What is d in -52\/7*d - 18\/7*d**2 - b + 1\/7*d**3 + 1\/7*d**4 = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m - 3015 = 75*m. Let g = m - 318. Calculate the greatest common factor of 323 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 30150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16625\/(-10))\/35*-6*(-10)\/(-75).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*m**2 + 3*m**3 + 186*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*i = 96*i + 1792 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34819, -34242, -33667, -33094, -32523, -31954?\n\"Answer: -s**2 + 580*s - 35398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53830?\nAnswer: 2, 5, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432*n**4 + 1845*n - 10.\nAnswer: 5184*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 3. Let d(j) = j - 4. Let n(x) = 6*d(x) - 7*o(x). Calculate n(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 19 + 1. Let d be 14\/21 + 4\/(-6). Solve d = 3*f - t - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 8)\/((-1)\/(-139)). List the prime factors of d\/16 - 2\/(-8).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 29, 0, -53, -136, -255, -416?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 40*x - 7. Let l be m(1). Suppose -4*o = 2*d - 3*o - 70, 5*d - 175 = 2*o. Suppose 0 = -2*z + l + d. Calculate the least common multiple of 12 and z.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8))\/(-5)*(-4)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(405\/72)*2754\/(-204)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(80\/12))\/((-3)\/32). Let b = 172 - p. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -549a91 - -8?\nAnswer: -549a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 4. Let l be s(3). Solve 28*j**2 + 10*j + l - 1 - 3*j**2 = 0 for j.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -102, -91?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230553?\nAnswer: 3, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 3*p - 45, -l + 4*p = 12. Let o = 79 + -39. What is the highest common factor of l and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 6*q - 30*r + 34*r, 0 = -4*q - 3*r + 50. Let 4\/5*f**3 + 0*f - 4\/5*f**q + 0 - 1\/5*f**4 = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13882*w + 4 + 85659*w - 3.\nAnswer: 71777*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*s*u**2*w**3 + s*u*w**3 + 4*u**2*w**3 - 61*u**2*w**2 + 2*u**2*w wrt s?\nAnswer: 72*u**2*w**3 + u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 7*j - 8. Let c be (6\/(-9))\/(8\/(-12)). What is the smallest common multiple of m(10) and 47 - (2 + c\/(-1))?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 492*l + 230. Let s(w) = 123*w + 57. Let a(d) = -9*s(d) + 2*v(d). Differentiate a(h) wrt h.\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104789 * -0.09\nAnswer: -9431.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -94.61. Let k = y + -0.01. What is the biggest value in 0.2, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3094 + -3094.1. What is the nearest to -2\/3 in c, 1\/7, 2\/23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13825 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-9) + -13 + 14. Sort -5, v, -0.4 in increasing order.\nAnswer: -5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45969 times 0.06?\nAnswer: 2758.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 2*r**2 - 2*r - 130. Let s(a) = a**2 - a - 1. Determine i(l) - 2*s(l).\nAnswer: 2*l**3 - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - -1*sqrt(240))\/sqrt(3) + (-1 + sqrt(180) + 5)**2)*4.\nAnswer: 212*sqrt(5) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -522882?\nAnswer: -522885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -5, 0.3, -0.7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p**(1\/4)*p))**14*((p\/((p*p**(-7)*p)\/p))\/((p*(p\/p**(-6))\/p)\/p))**(-28) assuming p is positive.\nAnswer: p**(-203\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)*j*j*j\/((j*j*j**15\/j)\/j)*(j*j**38)\/(j\/j**(20\/11)))**28 assuming j is positive.\nAnswer: j**(8656\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679 plus -42289208?\nAnswer: -42287529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 18. Let m be r(-16). What is the highest common divisor of m and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92445511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1108 divided by 1146.\nAnswer: -554\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -11*z + 1488. What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*y**3 + 3396*y**2 - 81760*y + 78400.\nAnswer: -4*(y - 1)*(3*y - 140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/9)*f*f\/f**(10\/9)*f)\/((f*f*f**9)\/f*f*(f\/f**2)\/f) assuming f is positive.\nAnswer: f**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24980028 to the power of 1\/2, to the nearest integer?\nAnswer: 4998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*s + 43. Let y = 13 + s. Solve 0 = 4*b - y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(10\/3)\/(d*d*d*d**(-10\/13)\/d*d))\/(d**(-43)\/d**(6\/11)) assuming d is positive.\nAnswer: d**(19154\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {x: 1, k: 9, j: 4, w: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/4 - -3)*-430. Let j = g - -213. Let p = -3.2 - -3. What is the third smallest value in 0.05, p, j?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1905*z. Let h(y) = -5947*y**2. Give t(h(p)).\nAnswer: 11329035*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15033 - 15033 + 2198*u.\nAnswer: 2198*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/7)\/((-22)\/77). Let d be 4\/(-14) - 999\/105. Let n = 10 + d. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 35378?\nAnswer: 212268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10001000011110110010111110?\nAnswer: -10001000011110110010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eerogqoreooeqoor. What is prob of picking 2 o and 1 q?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - 3*u - 3. Let c(k) = -7*k**2 - 5*k - 5. Let z(g) = -3*c(g) + 5*s(g). Let h(d) = -15*d**2. Determine h(z(a)).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 2 - sqrt(180))*-3*-6*2)**2 + (1*sqrt(320)*3 + sqrt(320) + -5)**2*-1.\nAnswer: 39 + 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -189, -204, -225, -252, -285?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -41432*a. Let w(q) = 2*q**2. Calculate u(w(c)).\nAnswer: -82864*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(sqrt(63) - (-1 + sqrt(63)))*-5 + (-6*(sqrt(112) - sqrt(112)*1 - sqrt(112)) + 2 + 4)**2.\nAnswer: 288*sqrt(7) + 4008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 287.\nAnswer: 10\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8118 + -8120. What is the nearest to d in -1\/10, 0.6, 4, 0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 7 + 17. What is the lowest common multiple of 6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-25)\/(-30) - 25\/30). Solve 4*i + 9*i = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/12 - 75\/(-20). What is the third derivative of 5*v**2 - 2*v**4 + 2*v**4 + 2*v**n - 3*v**4 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t**2 - 6*t - 6. Let z be f(-2). Let j = z - -44. Solve -6*u = -4*u + j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -900 - -900. Factor -2*v + g + 2\/5*v**2.\nAnswer: 2*v*(v - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359624513 to the nearest integer?\nAnswer: 18964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10661388*u**3 + 47463986.\nAnswer: 31984164*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 344.0211 - 344. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**2 + 2056*c - 4128 = 0.\nAnswer: -516, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*18289\nAnswer: 5486.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18240 from 3.\nAnswer: 18243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-5 - -2))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r + 932. Let z be m(93). Solve -2*y + 4 + 7 = -3*n, -z*y - 1 = n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10275 and 41732255?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165.9 - 24893195.\nAnswer: -24893360.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10000000110111001 (base 2) to base 5\nAnswer: 4102402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255 times -1076.1?\nAnswer: 1350505.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9123 or -16\/19?\nAnswer: 9123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -9) + 0 + 5 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 - 5*t**2 + t**2 - 3*t**2 + 3*t**2 + 2*t**2 + (3*t - 1 + 1)*(1 - 1 + t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.108 + -0.1079874. Round w to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3614330 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 23*x - 50. Suppose -4*s = -4*i - 9*s + 107, -14 = -i + 3*s. Is d(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 51132311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75328 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from zzgzzggggzggggzggg?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, -1, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 34*b**2 - 61*b**2 - 5*b + 2*b**2 + 5*b.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -9\/2310166 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(15)\/(sqrt(243)\/sqrt(9)) - (sqrt(5) + (sqrt(300)\/sqrt(5))\/sqrt(12) + (sqrt(320) + 2 - sqrt(320))**2).\nAnswer: -8 - 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*v - 0*v + 24, -p = 3*v - 2. Find the second derivative of 5*j**5 + 2*j + j - 6*j**p wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -819*(0\/(4 + -5 + -1) + -1).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*p + 1920 = 582*p - 341*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52289207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18250*v**3 - 19487*v**3 - 8740*v**3 + 12840*v**3.\nAnswer: -33637*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*d + 936 = -428, -3*f + 5*d = -1358. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111173?\nAnswer: 3, 7, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + (-6 - -7). Suppose -3*v + 4 = -u*v. Let m(t) = -t**3 - 3*t**2 + 4*t - 2. Let s be m(-5). Calculate the greatest common divisor of s and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 4, p: 2, y: 2, l: 1, n: 4}. What is prob of sequence yhny?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 152\/365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -0.05 (c) -4\/7 (d) 4 (e) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 15 = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*19.\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5300959471?\nAnswer: 71, 74661401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c + 2)*(5 - 5 + 7*c**2).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/15)\/f)\/(f*f**(-1)))\/((f*f\/(f\/f**7))\/f**(-2)) assuming f is positive.\nAnswer: f**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) - (-893)\/(-282)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -162*k - 9 wrt k?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.725 + 0.225. Let p = 1.4 - 1. Which is the nearest to 0? (a) 0 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*z - 10 - 30 = 0, -6*z + 36 = -3*k. Which is the fourth smallest value? (a) 0.1 (b) 0.4 (c) k (d) -5 (e) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = 33*c - 46*c. What is the greatest common factor of c and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:10 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 1036 + 1049 - 2070. Suppose 0 = u - 5, -3*b + u - 2*u = 19. What is the units digit of i(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464 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 third smallest value in -3\/14, 0, -310589?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 2071267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -138*q. Let j(n) = -586972*n. What is j(o(f))?\nAnswer: 81002136*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 7*x**3\/2 - 15*x. Let u(t) = 4*t**2. What is r(u(n))?\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u = -15*u - 874 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 28428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 22 = 2*q, 5*q - 3*q = 3*o + 19. Calculate the highest common factor of 115 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60025996?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -794797969 divided by 5717971.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 7. Let g be (-2 - 0) + c - -5. What is the third derivative of -8*k**g + 14*k + 10*k - 10*k**5 - 24*k wrt k?\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 103 = k + 26, -5*a = -4*k + 88. Let c be 88\/a - -5 - (-14)\/10. Solve -c*r = 4*u - 22, -3*r - 2*r + 27 = 3*u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003700076 to six dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -2435\/339?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10*y + 265 = 0. Let k = y - 54. Which is bigger: k or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73461, 73463, 73465?\n\"Answer: 2*d + 73459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 1. Let m be 15 - 4*(-4)\/j. What is the highest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -16)*(-3 - 65\/(-20)). Suppose 3770 = 33*q - p*q. Calculate the greatest common factor of q and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27995477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 48 + 7 = 5*v, -2*v + 4*o = -50. Suppose 55 = 2*h + v. Suppose h - 6 = l + 3*j, 2*l - j = 0. Calculate the remainder when 10 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 19*o - 25. Let c be d(-13). Let t = c - -172. Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from iuauuuuuuuubuaui.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bcccb + 70?\nAnswer: -6bcc5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - 107*m + 102*m, 0 = 5*z + 4*m - 19. Solve z*o = 3*g - 3, 5*g + 30*o = 33*o - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j. Let y = -5635 + 5637. Let q(c) be the third derivative of c**y + 0*c**3 + 0*c + 0 + 0*c**4 - 1\/15*c**5. Determine r(q(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10142.3054 to the nearest integer.\nAnswer: 10142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22443 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*u - 812*u - 2 = -29*q + 27*q, 5*q - 35 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-4))\/((-1)\/(-2)). Let z(n) = n**3 - 16*n**2 - 17*n + 2. Let i be z(17). Suppose i = -w + 12. Solve w*u - x*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-4)\/3696*-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 37*b**2 - 160*b + 4. Let g(u) = 64*u**2 - 323*u + 8. Calculate 3*g(h) - 5*s(h).\nAnswer: 7*h**2 - 169*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200, -4, 3 in descending order.\nAnswer: 3, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h**5 + 1686*h**4 + 23054*h**3 + 88338*h**2 + 85608*h - 49896 = 0 for h.\nAnswer: -154, -9, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*h - 314622 = -314599, h + 10 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13321 (base 5) in base 8?\nAnswer: -2076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 10.8. Let b = -5 - 0. Put o, -0.4, b in decreasing order.\nAnswer: o, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 5768 + 23420. Is (-5)\/(-2)*l\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {p: 1, j: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**6\/12 - w**5\/8 - 5*w**4\/12 - 24*w. Determine g so that i(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 3296.43\nAnswer: 2637.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. Let q = -3.15 + g. Let t = q + -0.85. What is the nearest to 0.08 in -5, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f - 443 + 13*f + 489 + (4 - 1 - 4)*(-3*f + 4*f + 2*f).\nAnswer: -4*f + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80755*m**4 + m**3 + 4*m**2 + 5*m - 6537017 with respect to m.\nAnswer: 323020*m**3 + 3*m**2 + 8*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k, -k + 4*k + 12 = -4*p + k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) -15 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 303 (base 10) to base 15\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -2\/11, -0.2, 35, -7 in decreasing order.\nAnswer: 35, -2\/11, -0.2, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m - 15. Find the second derivative of -5*l**m + l + 4*l**4 + 2*l**3 - 2*l**3 wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -239 (b) 0 (c) 1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787403.\nAnswer: 3, 595801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(sqrt(13) + 1) - (5*3*sqrt(104))\/sqrt(8))**2.\nAnswer: 204*sqrt(13) + 3793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145453135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((1 - -1) + 0). Suppose -i - 91 = -5*m, g*m - 83 = -5*m + 3*i. Let s = m + -55\/3. What is the biggest value in s, -2, 2\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 64*s**2 + 8*s + 5. Suppose -k + 2 = 7. Let u(c) = -43*c**2 - 5*c - 3. Let p(a) = k*t(a) - 7*u(a). What is the second derivative of p(r) wrt r?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -170*q + 377. Let b(u) = 166*u - 377. Let j(z) = -7*b(z) - 6*r(z). What is the first derivative of j(t) wrt t?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -1\/2 (c) -0.2 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*n - 5*l, -3*l + 1 = -2*n - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (1 + 6)) + 51. Suppose 51*g = j*g + 464. Suppose -65*z + 63*z = -g. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(3*o - 2*o - 2*o + (2*o + 2*o - 5*o)*(-2 - 3 + 3) + o - 5*o - 2*o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5533 or -5489?\nAnswer: -5533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628665589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 737 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 68731*y**2 + 71*y + 75. What are the prime factors of u(-1)?\nAnswer: 5, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95242 rounded to the nearest 1000?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 493345, 1973421, 4440219, 7893739, 12333981, 17760945?\n\"Answer: 493361*c**2 - 7*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 - 165*d**2 - 2205*d + 2365 = 0.\nAnswer: -11, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/7)\/(3\/(-15)). What is the tens digit of 407\/b - 18\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 219, 2\/11, -3\/2, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u = -3242 + 2057 - 2351 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10846 divided by -58?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + 37374*g + 596712. What is w(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-69.\nAnswer: -75.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 168, 215, 36, -483, -1456, -2997?\n\"Answer: -19*y**3 + y**2 + 177*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -6, 2, 1 in ascending order.\nAnswer: -7, -6, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0804187 to 4 dps.\nAnswer: -0.0804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppfffi. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110 (base 3) in base 14?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-10)\/240 + (-6298)\/(-12). Suppose 5*i - 2*t - 4579 = 0, 0 = i - 2*t - b - 394. Is 61 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-14 - -33) - 20 - -31\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28305 and 5?\nAnswer: 141525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1004, 2006, 3008, 4010?\n\"Answer: 1002*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*q - 5, -5*w + 2*q + 15 = 14. Let l be (-9)\/(-18) + 7\/(-2). Let t = 3 + l. What is the nearest to 0.1 in t, w, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 53. Solve -4*q = r - f, 3*q = -r + 2*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -786\/25 or -30?\nAnswer: -786\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q**2 + 3*q + 13. Let f(n) = -15*n**2 + 4*n + 11. Let k(a) = -4*c(a) + 3*f(a). Let x(b) be the first derivative of -b**3\/3 + 47. Give k(x(j)).\nAnswer: 7*j**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 12*c - 38. Let o be (12\/(-6) + 1)\/(1\/(-27)). Let k be g(o). Let t be -1*((-3 - -2) + -25). What is the greatest common divisor of t and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = 3*o - 14*x - 9, 5*x = -o + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320) + 3 + 5)**2 + (1 + (-2 + sqrt(720))**2)*-5.\nAnswer: -3256 + 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*g = -391, -4*h = -9*h - 3*g - 392. Let c = h - -81. Solve -s**3 + 0 - s - 5\/2*s**c = 0 for s.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 20*s + 3. Let j be m(-10). Solve j*r + 3 + 3 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1684*d - 11 = -1673*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 10*f + 31. Let p be 3\/((-45)\/246) + 4\/10. What is the hundreds digit of d(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - -217)\/3 - -1.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 8*d + 4. Let s(z) = -z - 11. Let c be s(-5). Let y be f(c). Let t be 3\/(30\/(-8))*-30. What is the highest common factor of y and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -9) + -7 - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let p(y) = 4*y + 7*y + 8*y - 30*y. What is p(b(n))?\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/130 and -31\/5369?\nAnswer: 53690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/224 and 97\/240832.\nAnswer: 1685824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:39 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 33*f**2 - 1. Let z be n(1). Let s = -25 + z. Suppose 0 = 5*d + 3*j + s, 3*d - 2*j = 7 + 4. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/7 + n**4\/7 - 138*n**3\/7 - 268*n**2\/7 + 536*n\/7 + 1056\/7 = 0.\nAnswer: -11, -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356338?\nAnswer: 2, 178169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.99 - 9. Let p = m + -0.29. What is the third smallest value in p, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**4 + 687631*g**3 - 38*g**2 - 686*g - 2?\nAnswer: -96*g + 4125786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-13)\/(i\/i**16))**(20\/7))**30 assuming i is positive.\nAnswer: i**(1200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -994 + 998. Suppose -3*n + 26 = 5*z + 3, -n + 4*z + 2 = 0. Suppose n*s - 2*s = 4. Calculate the remainder when y is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 f, and 1 r when four letters picked without replacement from bvbdvvbfuvbdfrvb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -1358\nAnswer: 108.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*g - 585 + 277 = 382 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -14, -47, -94?\n\"Answer: -7*i**2 + 2*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 4:37 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 937.27 from -245065.52.\nAnswer: -246002.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2916 and 23292.\nAnswer: 1886652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122379\/(-4294)*4*(-2)\/(-20)*30\/9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*r + 24*r**4 - r**2 - 25*r**3 + 74*r + 286*r wrt r?\nAnswer: 576*r - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918774 plus 343.3?\nAnswer: 1919117.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 535627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 8) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 6. Suppose -w - p*w + 138 = 0. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7127540+82544.1\nAnswer: 7210084.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 83. Calculate the remainder when 96 - (3 + -2)*g is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.138182 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 1. Let s(v) = 17*v. Give s(k(g)).\nAnswer: 51*g - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = 0, -6*c + 375*k + 12 = 357*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 28*x**4 - 8*x**3 + 240*x**2 - 288*x.\nAnswer: 4*x*(x - 6)*(x - 2)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000437 to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = h - 5*h + 5*d, 5*h - 3*d = 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 - (-11 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000076 rounded to 6 decimal places?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1498, -1502, -1506, -1510, -1514?\nAnswer: -1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-10 + 1 + (1 - -1) - -25)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1474, 6141, 17182, 37783, 71130, 120409?\n\"Answer: 531*c**3 + c**2 + 947*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2839, -3, 2, -0.1, -2\/17.\nAnswer: -3, -0.2839, -2\/17, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3678 + 6704. What are the prime factors of d?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 0*j + j)*(27 - 27 + 6*j**2) + 0 - 2*j**3 + 0 + (j - 4*j + 18*j)*(4*j**2 - j**2 - 5*j**2) to the form t*j + k + v*j**2 + s*j**3 and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (112\/10 + 234\/(-156))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/93)\/(6\/318). Let m = 2369\/62 + a. Find the common denominator of 83\/2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002404 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apfabaabbfafb. What is prob of picking 1 a, 1 f, and 1 p?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -p, -4*p = 3*d + 1875 - 1853 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/9 + 8*s**2\/9 - 38*s - 252 = 0. What is s?\nAnswer: -9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676556, 1353109, 2029660, 2706209, 3382756?\nAnswer: 4059301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*h - 6*h - 3*y, -11*h + 3*y = -20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 61\/543?\nAnswer: 61\/543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*q*s**3*y**2 + 7*q*s**2*y**3 - 2*q*s**2*y**2 + q*s*y**2 + q*y + 557*s**3*y**3 + 28*s**2*y**2 wrt y?\nAnswer: 42*q*s**2 + 3342*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 8. Let f(y) = 2*y + 7. Let l(p) = 2*f(p) + 3*r(p). Let v be l(0). What is v rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((627\/(-4180))\/(18\/16))\/((-114)\/(-9))\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*n - 2*f, n - 5*n - f = -52. Let q(a) = 15*a - 10*a - 13 + n. Let o(s) = 3*s**2. Determine q(o(g)).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:27 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-10))\/m)\/m**13*m*m\/(((m**(8\/5)\/m)\/m)\/m)*m*m**(-17) assuming m is positive.\nAnswer: m**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 47486 = -2*r, -2*r - 3*c + 7700 + 39791 = 0. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -14. Let t(k) = -11*k**2 + 11 - 4*k + 4 + 12*k**p. Does 6 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -0.37954?\nAnswer: 0.303632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/120 - 59*m**5\/12 - m**4\/12 + 4451*m**3\/6 + 2*m**2 + 4*m + 484. What is the second derivative of h(f) wrt f?\nAnswer: -6*f - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10528485*a**2 - 14388816 wrt a.\nAnswer: -21056970*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/25, 0.04, 1\/4, 0.035, -4.\nAnswer: -4, -2\/25, 0.035, 0.04, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6190.14483 to the nearest integer.\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.33 - -0.87. Let o = 6 + m. Round o to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.33 (b) -7\/2 (c) -4 (d) -7 (e) -9.47 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + b0?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 80 = -11*v. Let a(t) = 5*t + 1. Let n(c) be the second derivative of -13*c**3\/3 - 3*c**2 - 2*c. What is v*a(f) - 3*n(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e0e5b (base 16) to base 5.\nAnswer: 3034222214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*2*sqrt(80)*3 - ((sqrt(80) - (1*sqrt(80)*-6 + sqrt(80) - sqrt(80))) + sqrt(80) + (-2*sqrt(80) - sqrt(80)) + 2)))**2.\nAnswer: 4400*sqrt(5) + 242100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(sqrt(13) + 1 + sqrt(52))*5 + 1.\nAnswer: -45*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8971\/10 + -899. Calculate the common denominator of 7\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = t - 41, -4*t + 2*s + 164 = -2*s. Suppose -11 = -4*b - 3, 0 = -4*q + b + 42. What is the remainder when t is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207 divided by 15442.\nAnswer: -207\/15442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3422 and 260.\nAnswer: 444860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:59 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86877?\nAnswer: 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.8 + -2.8. Let u = -9 + 0. Let q = 4 + u. Which is the third biggest value? (a) q (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262357.\nAnswer: 3, 83791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 208, 204, 200, 196, 192, 188?\n\"Answer: -4*i + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**(-2\/37))**(1\/27)*((f**(-1\/9)*f)**15)**(2\/91) assuming f is positive.\nAnswer: f**(53371\/181818)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -11011011?\nAnswer: 11101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 4*f + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 9 + 0*f + 0*f + 5 in the form o*f**2 + r*f + s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-9 + -3 + 0 + 11 + 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(931) + -3 - sqrt(931))**2.\nAnswer: 168*sqrt(19) + 14905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20627904 by 11.\nAnswer: -1875264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 4*v**2 - 6*v + 5. Calculate x(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1770955\/132 + 13416. Calculate the common denominator of o and 342\/(-308) + (3 - 5\/2).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6810 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/k*k**(-1\/4))**13*(k\/k**(-4\/9)*k**0)**(26\/9) assuming k is positive.\nAnswer: k**(21359\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5 - 2*m**4\/15 - 10*m**3\/3 + 4*m**2\/5 + 9*m. Let k(n) = 0. What is n?\nAnswer: -1, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 317626?\nAnswer: 635252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 122316617 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -17*i - 2. Let h be o(-1). Suppose 0*g + h = -3*g. Let l(n) = 7 + 10*n**2 + 2*n - 1 + 3*n - 9*n**2 + 1. Give l(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26 + 7 - 18) + 8. Let u = 344 + -137. Calculate the highest common divisor of b and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q + 76*q = 2508 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by 3?\nAnswer: -220\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27794*t**2 - 8*t - 18*t + 24*t.\nAnswer: -27794*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17201543.\nAnswer: 17201543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 67763316 (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*t + 6904 + 61*t + 59*t + 64*t.\nAnswer: -2*t + 6904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccccckcc. What is prob of sequence ck?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let z = 119151 - 119163. Sort l, -3, z in decreasing order.\nAnswer: l, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33005 = -267905*s + 266962*s for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.4? (a) -0.09 (b) -3\/2 (c) -20 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 696518.6 days in seconds?\nAnswer: 60179207040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 3*(-48)\/(-54). Is t less than or equal to -2\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -2*x + a, a = -5*x + 324 - 54. Calculate the lowest common multiple of 23 and x.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*o + 79*o - 1952 = 131*o. Suppose 5*r = r + 20. Calculate the highest common divisor of o and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -289592, -579183, -868774, -1158365, -1447956, -1737547?\n\"Answer: -289591*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 610324\nAnswer: -1220648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1873 times 0.1?\nAnswer: -187.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 32*x - 9. Let g be b(-7). Let j = 222 - g. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**3 + 53*o**2 + 15*o - 6. Determine m(-7).\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 17, -6 in descending order.\nAnswer: 17, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2803, 5709, 8633, 11581, 14559, 17573, 20629?\nAnswer: 23733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3327 + 2?\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108553 (base 10) to base 16.\nAnswer: 1a809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 149684, -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/253)\/(1940\/(-4462))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117356054.\nAnswer: 2, 251, 233777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 7*g + 6. Let v be f(6). Suppose -3*x + 15 + 3 = v. Let q(b) = 4*b**3 - 1. Let o be q(1). Solve -o*z + x = 0, 5*d - 2 = -2*z - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63496, -63497, -63498, -63499, -63500, -63501?\nAnswer: -63502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsxsnppppspsqpnpq. What is prob of picking 1 q, 1 s, and 1 n?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 - 3.65. Let k = l - -0.4. Suppose 5*a = -3*g + 10, -2*g + 0*g - 4 = -2*a. Sort g, k, 3 in decreasing order.\nAnswer: 3, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*j - 3*j = 41, 4*a = -5*j - 9. Let w(d) = -d**3 + 2*d**2 + 6*d - 2. Determine w(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 13, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - (-8014218014)\/952. Let n = c - 8418299. Let j = n - -2\/119. What is the common denominator of j and 9\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -1, -22, 0.069?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2220, -2803, -3386, -3969, -4552?\n\"Answer: -583*r - 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340 - 1053?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**2 + 0*w**2 + 2*w + 3*w + w**4 + 3*w**3.\nAnswer: w*(w - 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/5 + 88018*n**3\/5 - 1936704061*n**2\/10 - 193683609*n - 96844005\/2 = 0.\nAnswer: -1\/2, 22005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/((-10)\/(-4)))\/((-2)\/39). Which is the biggest value? (a) 0.5 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53841 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 61150*z + 366844. What is v(-6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + r + 52. What is the units digit of m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -3\/106529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 10*d + 11. Give s(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*60\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.07, -1\/6, 2\/9, 3\/13, -8\/35?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = h - 4*h. Let n be -5*(4 + -5)\/1. What is the remainder when 7 is divided by n*(-9)\/h*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -64*n + 12. Let p(y) = 21*y - 4. Let t(c) = 3*b(c) + 10*p(c). What are the prime factors of t(12)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 717*i + 724*i + 334*i**2 + 1 + 2*i**3 + 721*i - 2162*i to a*i**2 + f + y*i + n*i**3 and give a.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 701 - 701 + 3*s + 4*s**2. Suppose h + 3*n + 4 + 3 = 0, -4*h + 4*n - 12 = 0. Is 20 a factor of y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -172, -0.4, 0.1, 0.03 in increasing order.\nAnswer: -172, -0.4, 0.03, 0.1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -121. Let b be 5*((-4)\/w)\/((-10)\/12). What is the fourth biggest value in -2\/11, b, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613 - 6*o + 1902 - 673 - 616 + o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -980 + 1766. Suppose 31*u - 33*u + 4*w + 1578 = 0, v = u - 3*w. List the prime factors of u.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -18*s**2. Let z(j) = -286*j**2 - 33. Let p(g) = 44*g**2 + 5. Let h(r) = -33*p(r) - 5*z(r). What is h(q(t))?\nAnswer: -7128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102903 not equal to 102902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -317*x - 73*x**2 - 1290 + 282*x + 1290 to f*x + m*x**2 + g and give m.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 30. Let k = q + 10.44. Round k to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7.78. Let q = a + 3.31. Let m = 2.529893 - q. What is m rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/55 - (-358)\/88)*(-56 + 64). What is the highest common divisor of w and 5746?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + (-11288)\/(-1870))\/(8\/280). Determine n, given that 2\/11*n**3 + 14\/11 - 2\/11*n - h*n**2 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 19*h - 6*h + 26 + 11 + 34*h.\nAnswer: 47*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 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: In base 2, what is 110 - -10101000011?\nAnswer: 10101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*53543.\nAnswer: -1445661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 617*w + 53. Determine t(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 - (-3 + 1). Let q be ((-9)\/27)\/((-14)\/24). Let -2\/7 + q*g - 2\/7*g**c = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/2, -571, -138\/25?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/56 and 75\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311831, 623536, 935241, 1246946, 1558651, 1870356?\nAnswer: 2182061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -4 (c) -32 (d) 2\/9 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 13*j**2 - j + 11. Let x be i(13). Let h(z) = -328*z - 21. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*g - 26*g - 7*g)*(-2 + 2 + 2)*(210 + 353 - 159).\nAnswer: 17776*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -330149.4 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-9) - (0 - -7)\/((-2535)\/1105).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:56 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136732824 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/43)*z\/(z*z\/(z\/z**11)*z) assuming z is positive.\nAnswer: z**(-518\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**9\/84 - 3*o**7\/10 + o**5\/60 + o**4\/12 - 37*o**3\/2 + 13*o**2 - 27*o - 4. What is the third derivative of l(w) wrt w?\nAnswer: -720*w**3 - 1512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*o**3 - 115*o**2 + 30*o.\nAnswer: 5*o*(o - 3)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388390 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 11:33 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 5*s**2 - 5*s + 4. Let l be q(-3). Solve -2*h - 5 = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 74*b**3 - 3*b**2 + 319*b - 956. Calculate the remainder when k(3) is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621*i = 614*i + 2030. Is 35 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -840 + -308524?\nAnswer: -309364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017888103 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u. Let g be y(-1). Let h(s) = s**3 + 5*s**2 + s - 2. List the prime factors of h(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 171*x**4\/4 + 2*x**2 + 8*x + 136. What is the second derivative of k(l) wrt l?\nAnswer: 1026*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 0, 6, 52, 2\/7, 0.1, 15\/4 in decreasing order.\nAnswer: 97, 52, 6, 15\/4, 2\/7, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwsswsssswwwwwwww. What is prob of sequence ww?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2. Suppose -2*b + 6 = -2. Let m(y) = b*y**2 + 0*y**2 - 2*y**2 - y**2. What is m(i(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 3. Let l be d(2). Calculate the remainder when 21 is divided by (24 + 9)*1\/l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -186.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*l - 12, 5*y - l + 23 = -9. Let r(x) = 3*x**2 + 17*x - 5. Let g be r(y). Sort g, -4, 0.03.\nAnswer: -4, 0.03, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 122 + 127 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*6*sqrt(65) + sqrt(65))*-3)\/((-3*sqrt(1375))\/(sqrt(132)\/(1*sqrt(12)))).\nAnswer: 17*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j - 3 = 0. Calculate the smallest common multiple of 1 and j\/2*(3 - -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83439947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + ((-792)\/55 - -12). Let m be g\/(-6) - 10\/(-80)*0. Let z be 19\/4 - 2\/(-8). What is the second biggest value in m, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = -4*a + 9, 5*s - 1488 = 3*a - 1437 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/4 - 1)\/(9\/(-24)). Let z be u\/6*(-15)\/(-50). Let x = 2.5 - 2. What is the nearest to z in x, 5, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983901 greater than 1983928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + -2*((1*(sqrt(9)*-2 - sqrt(9)))\/(sqrt(147) + -2*sqrt(147) + sqrt(147) - sqrt(147)) + 2)).\nAnswer: -5 + 30*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 1392*h**3 - 181656*h**2 + 10536048*h - 229159044.\nAnswer: -4*(h - 87)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84983?\nAnswer: 17, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0495 - 13623.\nAnswer: -13623.0495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from ajwaaqnqqjag?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -11*t**2 + 3*t**2 - 38*t + 46*t**4 + 38*t + 24*t**3 - 68*t**4 + 6*t**5 = 0.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1916, -3752, -5422, -6842, -7928?\nAnswer: -8596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*q = -10, i + 0*i + 4*q = -13. Let w = -4 - 1. Let d = w + 12. Calculate the lowest common multiple of i and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 518118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998671?\nAnswer: 709, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 5*y**3)*(-22 + 40 + 59).\nAnswer: 385*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(25))\/sqrt(5) + (sqrt(240)\/sqrt(4))\/sqrt(12).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, k: 7, t: 1, u: 2, y: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 10:55 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (405\/(-432)*-16)\/((-18)\/(-60))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 5*y**2 - y - 9. Let f = 470 + -475. Give o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 214 + 314. Is (0 + 4)\/(x\/2409) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*s**5\/5 + 492*s**4\/5 - 759*s**3\/5 - 1974*s**2\/5 - 948*s\/5 + 24\/5 = 0 for s.\nAnswer: -2, -1, 2\/83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkkbkkxkbbakskkak. Give prob of sequence bbb.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, z: 1, j: 1, h: 1}. What is prob of picking 1 z, 1 d, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 137403 divided by -934\nAnswer: -137403\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 18 - (-1 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (26 + (12 - 1 - 7 - (16 + -9))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 6*n**2 + 5*n + 4. Let w(j) = j**3 + 5*j**2 + 4*j + 3. Let z be (5\/2)\/((-4)\/(-8)). What is z*w(a) - 4*k(a)?\nAnswer: a**3 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122, 109, 96, 83?\n\"Answer: -13*g + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1898*n + 1383*n - 5724*n in the form f*n + r and give f.\nAnswer: -2443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + 1.3. Let g = 79.2 + -79. Which is the biggest value? (a) j (b) g (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/105*-205 + (52 - 57)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4597\/208 - 332\/13. Calculate the common denominator of f and -109\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 22. Let j be f(-11). Suppose p = 3*p + 2*x - 1650, 3*p - 2*x - 2470 = j. Suppose 6*w + 74 = p. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 7. Let k be c(0). Calculate the greatest common factor of k and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2\/19, 1.8, 1\/5, 3 in decreasing order.\nAnswer: 3, 1.8, 1\/5, 2\/19, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let z = -86 - -82.3. Let m = z - f. Does m = 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24738937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42, -45, -56, -81, -126?\n\"Answer: -j**3 + 2*j**2 - 2*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -358 and 119073?\nAnswer: -42628134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 36*o**2 - 4*o - 6. Let h be a(-18). Let u = -58 + h. Calculate the smallest common multiple of 6 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h**2. Suppose 2 = 2*m - n - 5, -5*n = 5*m + 5. Let o(b) = 13*b**2 - b**2 - 9*b**m + 3*b**2. Determine y(o(g)).\nAnswer: -432*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -79823.5 and 0.008358343?\nAnswer: 79823.508358343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23420311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*s + 332 = -13*s + 61*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**5\/5 + 232*k**3\/5 + 224*k**2\/5 - 228*k\/5 - 224\/5 = 0.\nAnswer: -7, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:42 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 84 = 11*u. Let o = -9 + 19. Calculate the remainder when u is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 988, 1945, 2906, 3871, 4840?\n\"Answer: 2*d**2 + 951*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 g when four letters picked without replacement from {y: 2, g: 2, i: 4, v: 3, b: 2, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 1, f: 4}. What is prob of sequence fkfu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuqu when four letters picked without replacement from ukkvqvvvuqvq.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4 - ((0 - 27) + 62 + -50)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1785, -3564, -5343, -7122, -8901?\n\"Answer: -1779*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5512 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-53 + 18 + 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 5*n - 2. Let y be s(-4). Suppose 0 = -0*f + 4*f. Suppose 0 = -0*p - 2*p. Solve f = -y*g - p*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b = -25*b - 1245651. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 473*k - 66*k**3 - 876*k + 51*k**2 - 78 + 469*k. Let w(s) = 5*s**3 - 4*s**2 - 5*s + 6. Let t(b) = -2*r(b) - 27*w(b). Factor t(h).\nAnswer: -3*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1117 + -1116.497. Let l = z + -0.003. Let o = -28 + 27. Which is the nearest to 1? (a) l (b) o (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/4)\/((-6)\/100*3085\/(-1234))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -0.5, 1.182, 4?\nAnswer: 1.182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = x - 252. Suppose 5*q = 3*c + 89 - 19, 2*q + c = x. What is the highest common divisor of 42 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n + 85. Let o be j(10). Let b(p) = -240*p + 479*p + o - 219*p. Let m(v) = -3*v - 2. Give 2*b(g) + 15*m(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110011 (base 2) to base 10.\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.78867 micrograms to grams.\nAnswer: 0.00003278867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(84)*1)\/(sqrt(32)\/sqrt(2)))\/(-1*(sqrt(42)\/(-2*sqrt(6)) - (-2*sqrt(28))\/sqrt(4))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4466 - 5786 = 932*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-8)\/(-12)*36\/(-28)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -993104 (base 12) to base 9.\nAnswer: -4515274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*s - 4*s - 6275 + 6318 = 4*p, -5*s = -15 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 1. Let l be r(-1). Suppose -z + 11 = l. Let b(h) = 7*h**2 - 7*h + 5. Let k(m) = 3*m**2 - 3*m + 2. What is z*k(o) - 4*b(o)?\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2 = -3*z. Let h be -1 - z\/((-51)\/(-57)). Is 0 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:11 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {t: 2, w: 2, c: 1, p: 1, s: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 1. Let n be f(-10). Suppose -13*o + 44 = -n*o. Calculate the remainder when 85 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 12:47 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, a: 1, t: 2, v: 7, m: 1}. What is prob of picking 1 t, 2 p, and 1 v?\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/7))**(-1\/50) assuming m is positive.\nAnswer: m**(-1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -562?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -1. Let z be (0 - 0) + (-55)\/110. Which is the closest to z? (a) 0.3 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 11307210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 2:55 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273 - -310. Suppose -207 + 59 = -k*l. Solve -5*p - 3 = 4*g + 3, -2*g - l = 2*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6671.4 and 0.1.\nAnswer: -667.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1, 8, -224, -0.3, 0.05?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 649 in descending order.\nAnswer: 649, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 - 2 = 0. Let c be (a - 2 - 52)\/(-2). Solve 0 = -6*w + w + c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 566888782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*(3 - -3). Suppose -q*h = h - 6. Suppose 4*i - 56 = -2*v, -h*i = 5*v - i - 95. Calculate the smallest common multiple of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a**(4\/5)\/a)*a*a)\/(a*a**(-7)))\/((a\/a**(-35))\/((a*a**(-26))\/a)))**(-34) assuming a is positive.\nAnswer: a**(8806\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 - 41 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 200881.\nAnswer: 2\/200881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 220*b. Let k(y) be the second derivative of -y**3\/3 - 28*y. Give d(k(m)).\nAnswer: -440*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*h - 1. Suppose 0 = 3*y + h - 8. Let m(x) = x**3 + 3*x**2 + x + 4. What is the units digit of m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*o + 96*o + 90*o + 3195 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in 0, 9, 83, -0.1?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*q = 4*q + 6, 0 = 3*b + 5*q - 26. What is the greatest common divisor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01047 - -0.0082. Round k to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -9 - 1. Solve y*x - 1 + 7 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1046928*i**4 + i**3 + i**2 + 15935500 wrt i?\nAnswer: -4187712*i**3 + 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 17.\nAnswer: -46\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -269965088 rounded to the nearest 100000?\nAnswer: -270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10410311?\nAnswer: 73, 142607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/2)*z**(-5)\/z*(z*z**3\/z)**(-34\/5) assuming z is positive.\nAnswer: z**(-259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 + w**2 - 1. Let l = 11 + -12. Let b be g(l). Let m be (-44)\/(15\/b - -3). What is the greatest common factor of 33 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v + 137\/2*v**2 + 12 + 271\/3*v**3. What is the second derivative of i(q) wrt q?\nAnswer: 542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-17\/6)*((u**(2\/3)\/u)\/u)**(-36)*(u\/u**(-1\/6))\/((u\/u**(-1\/4))\/u)*(u\/(u\/(u**(4\/3)*u)))\/((u\/(u\/u**(-1\/3)))\/u) assuming u is positive.\nAnswer: u**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.067155389 * 1\nAnswer: 0.067155389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -27. Solve -10 = 5*g + i, 0 = -4*g + 2*i - l + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 9 = 2*g + 5, -4*g + 2*q = 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664*l - 1882 = -277*l. Find j such that 64*j**l - 450\/7 + 60\/7*j + 2\/7*j**4 - 60\/7*j**3 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + -3*(sqrt(500) + sqrt(500) + 2 + sqrt(500)) + 4)**2 + 2 + (sqrt(500) + -2 + sqrt(500))**2 + 0 + 2.\nAnswer: 100*sqrt(5) + 42507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.761865 to 3 decimal places.\nAnswer: 0.762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417\/(-4)*(15 - 27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g = -21*g - 8*g - 340 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/28)*a\/a**(2\/41))\/(a**7*(a**(3\/14)*a)\/a) assuming a is positive.\nAnswer: a**(-5919\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/72 - (-1)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1 (c) -0.3 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:56 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**20\/f**(1\/23))\/(f**(-8)*f*((f\/(f**(-16)*f))\/f)\/f*f) assuming f is positive.\nAnswer: f**(275\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 92*j + 235. What is the remainder when q(101) is divided by 227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.93 - -0.07. Let l = q - 8. Let p = -276 - -3590\/13. What is the second biggest value in p, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 380 - (0 - 0). Let z = a + 970. Let j = z - 9437\/16. What is the common denominator of j and 23\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 2164554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16205, 32597, 48989, 65381, 81773?\nAnswer: 98165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 2*s**2 + 5*s - 13. Let u be n(-3). Let g(t) = u*t**3 - 14*t + 14*t + 8*t**2 - 7*t**2. Determine g(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v + 2. Let g be l(-3). Let s(r) = -g*r - 3 + 30*r + 3. Let a(m) = m. Let k(o) = o. Let y(n) = -4*a(n) + 5*k(n). What is s(y(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x - x**2 + 3 + 2 + 5*x - 1. What is the units digit of w(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23850 = 4806*z - 5256*z for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:06 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - g + 1. Let p(f) = -f**3 - 7*f**2 + 11*f. Let u(c) = -2*a(c) + p(c). Let y be u(-7). What is the closest to 2 in 0.01, y, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 258*i**2 - 7699*i + 284. What is v(27)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(28\/(-496)) - 200\/1050*15\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 4, 169 in decreasing order.\nAnswer: 169, 4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6035931900 rounded to the nearest 100000?\nAnswer: 6035900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*q + 10 = 0, -40*u + 35*u - q + 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -400. Suppose v = 3*l - 4*w, 2*l + 92 = 3*l + 2*w. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + -12 + -92 - (-31 + (0 - 0)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/63893 or -1?\nAnswer: 2\/63893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102152199.7 rounded to the nearest 100000?\nAnswer: 102200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9613, -6698, -3783?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -131*w**4\/2 - 2*w**3\/3 - w**2\/2 + 64*w + 625. What is the second derivative of s(g) wrt g?\nAnswer: -1572*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -35. Solve d = -5*p + 7 - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 2*y - 3. Let b be d(6). Let w be (-3)\/((-1)\/(4\/b)). What is the third smallest value in 2\/3, 0.3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*a + 2*a**2 - a**3 - 9*a**2 + 116*a to the form x*a**3 + t*a + d*a**2 + y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0178 and 1.2.\nAnswer: 1.2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2400 is divided by 118.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-153)\/(-6))\/(9\/90). Suppose 4*d + 67 = p, -36 = -5*p - 2*d + f. Which is greater: 235\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/111 + ((-3)\/15)\/(30\/(-400))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 218 + -37934\nAnswer: -37716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*l = 2*d - 124, d - 36 = -2*l. What is the highest common factor of 308 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2551, 2544, 2529, 2500, 2451?\nAnswer: 2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 3*o + 12, -4*n - 6 = -3*n - o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 9 (b) 0.3 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*3 - 36\/(-15)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -932 - -935. Solve 2*l = 3*b - 8, -5*l - 4 = 2*b - v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 33 = -2*t - t, 3*r = 6 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 36. Let a(v) = v**3 + 2 - 11 + 3*v**2 + 0*v**3 + 5*v**2 - 9*v. What is a(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 9. Let a be f(-11). Let t be 87*(1 + -1 + a). Let i be ((-50000)\/(-3))\/5*t. What is i rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -54*r**3 + 494*r**2 + 888*r - 296. Let c(g) = 49*g**3 - 494*g**2 - 889*g + 296. Let h(w) = 14*a(w) + 16*c(w). Factor h(t).\nAnswer: 4*(t - 37)*(t + 2)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/59053225 and 79\/10.\nAnswer: 118106450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70871, -141737, -212603, -283469, -354335, -425201?\nAnswer: -496067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2*m**7*((m\/(m**(1\/2)\/m))\/m)**(-8\/17))**(-20) assuming m is positive.\nAnswer: m**(-1960\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*u - 305*u + 66 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -216235616 equal to -216235615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -57488.\nAnswer: -22995.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 904947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -860763*8.\nAnswer: -6886104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -501*o - 1785. Calculate the least common multiple of 2040 and j(-5).\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10908 (base 16) in base 3?\nAnswer: 10110001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7319, -6979, -6411, -5615, -4591, -3339, -1859?\n\"Answer: 114*m**2 - 2*m - 7431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.37254 * -8\nAnswer: -2.98032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1360354905 rounded to three decimal places?\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1466.0000004415 + -1466. What is k rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 10101110011100000111 (base 2) to base 7\nAnswer: 6034046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4255321.\nAnswer: 7, 17, 35759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/5 (b) -0.3 (c) 2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -26*l - 81. Let k(y) = 11*y + 7. Let v(o) = -4*k(o) - 2*w(o). What is v(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73355)\/1726*(-4)\/(-17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 1 - 1 + (-q - 5 + 5)*(3 - 1 + 0) + (-4 + 4 - 42*q)*(3 - 7 + 1)*(3 - 4 - 1).\nAnswer: -255*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 46*i**2 + 105*i - 136. Calculate j(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*t + y + 88, 5*t + 116 = y. Let q be (-1)\/1 - -3*(-40)\/t. What is the highest common factor of q and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315410 rounded to the nearest 10000?\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 2*r - 4 + 5*r)*(1127*r - 12280 + 12280).\nAnswer: -1127*r**2 - 4508*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*h + 116*h = -66*h + 3015. Solve -h = -106*d + 97*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**6*h**2 + 8626*b**4*h**2 + 5*b**2*h**2 + 34019 wrt b?\nAnswer: -960*b**3*h**2 + 207024*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10) - sqrt(20)\/sqrt(2)*5))\/(-1*(sqrt(72) - sqrt(8)) + -2*sqrt(648)).\nAnswer: sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.327 and -137.\nAnswer: -44.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1467*c**2\/8 + 211648485*c\/8 - 432819\/4.\nAnswer: 3*(c + 144273)*(489*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5633459 is divided by 112?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74\/51 + 48\/119. Calculate the common denominator of g and 23\/51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.916 centuries in months?\nAnswer: 449899.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/9 (b) 0 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*t - 43*t - 19920 = -297*t + 4650 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26256?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19024 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3189 divide 62794382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 256068 and 0.549?\nAnswer: 256067.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-0.05.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2365 in 1758, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (154\/152 + -1)*4. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417409.\nAnswer: 71, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(130) - sqrt(130))*1*-2)\/(sqrt(100)\/(1*sqrt(10) + sqrt(10)) + 3*sqrt(490) + sqrt(490) + sqrt(490)))**2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 539\/(-21)*(1\/(-2))\/((-42)\/(-252))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -332*g**2 + 76979520*g - 1854928.\nAnswer: -4*(g - 231866)*(83*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45435?\nAnswer: 3, 5, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17011113*z**3 - z**2 - 4804882*z wrt z.\nAnswer: 102066678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -56.9957.\nAnswer: -58.9957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 11:01 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184609493139 - 184609493139 - 7*d + d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 0*k**3 + 0*k**3)*(12*k**2 - 6*k**2 - 12*k**2 + k**2 - 5*k**2 + 3*k**2 + (-5*k + 0*k + 3*k)*(6*k + 0*k - 5*k)).\nAnswer: -18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001011100111000100 (base 2) to base 4.\nAnswer: -3023213010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1410\/39 - (-2)\/(-13). Let j be h\/(-10) - 4\/10. Let b = j + 10. Calculate the remainder when 22 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-40))\/(525\/(-2520)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -183903 divided by -4?\nAnswer: 183903\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/8 - 943*y\/8 + 2345\/4.\nAnswer: (y - 938)*(y - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*h - 1438, y - 1432 = 212*h - 214*h. Calculate the remainder when h is divided by 93.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-1))\/(-3)*(-6474)\/1992?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 29*m - 27*m + 10, 3*m + 2*p = 17. Let a(v) = -10*v**3 - 4*v**2 - 3*v - 7. Let k(q) = -q**3 - q - 1. Let d(z) = m*a(z) - 21*k(z). Factor d(r).\nAnswer: -3*r*(r + 2)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1204 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 560482177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 207 = -4*d, 3*d - 5*v - 56 + 204 = 0. Let k be d\/(-27) - 1 - 0. Let i = 25\/18 - k. What is the closest to 0 in 5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/24 + ((-9)\/(-6))\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 344321?\nAnswer: 344313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 11*m + 24. Let q be p(12). Suppose -5*x - 3*c + 93 = 0, 2*c + c + q = 0. What is the remainder when 146 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + 0.1. Let l = h + -2.00017. Round l to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/60 - 5*x**4\/24 + x**3\/3 - x**2. Let c be l(-4). Solve 2*j + 16 = c*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.62308 rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6659, -27205, -61589, -109769, -171703, -247349, -336665, -439609?\n\"Answer: 7*w**3 - 6961*w**2 + 288*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 5*n**2 + n - 3. Let p be o(4). Suppose -5*s = 2 - p. Let w = -0.089 + 0.189. Which is the second smallest value? (a) -5 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 53, 94, 135?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73394, 146738, 220108, 293510, 366950?\nAnswer: 440434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*i = -1349, 2*n = 5*n + 3*i - 801. What are the prime factors of n?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2445 = -4*x - 2501, 590 = 2*h - 42*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 96, -20, -3, 8, -4 in descending order.\nAnswer: 96, 8, 5, 4, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2530367 and 15\/28?\nAnswer: 10121468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-9)*(-35)\/((-5250)\/(-270))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(0 + -1*(29 - 1)). Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107686531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1978 and 61716544.\nAnswer: 2653811392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52778 is divided by 221.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbhbbk. Give prob of picking 1 b and 1 h.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p**3\/p))\/p*p*p))**(-10\/13))**3 assuming p is positive.\nAnswer: p**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 9*q - 66 = 8*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/510234 and 23\/39888?\nAnswer: 12245616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 14 = 34 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4269\nAnswer: 2\/4269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -475. List the prime factors of q.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 826 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468*d + 66 = -479*d. Let l be (3*2)\/(0 - 1). Is l at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18482597 is divided by 2134.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 321 + 5?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1735\/(-216875) + 13497\/(-375)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(-i - i + 3*i)*(3 - 4 + 2) + (5 - 5 + i)*(-5 + 81 + 27))*(24*i - 24*i - 22*i**4).\nAnswer: -2288*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.8 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 64011 = 7644. Let u be (4\/(-6))\/(2\/(-6)). Suppose 4389 = u*l - i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 32 = -4*v. Let i = 623015 + -622763. What is the remainder when i is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220590569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169071 + 2*r - 1669*r**5 - 1595*r**5 + 2710*r**2 + 521*r**5 + 169071 wrt r.\nAnswer: -164580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12044320231 (base 5) in base 12?\nAnswer: -485b1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14 + 18 - 48 + 22 + 2*o. Let w(r) = r + 5. Calculate 3*v(c) - 4*w(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 8*m - 325 = 3*m, 0 = 5*f + 2*m - 334. Suppose -g + 56 = -u, -4*g + 62 = u - 137. What is the greatest common divisor of f and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101043632 divided by -18\nAnswer: -50521816\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 6*m + 5, -u - 3*m + 2 - 3 = 0. Sort u, -58, -2, 4.\nAnswer: -58, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykyk when four letters picked without replacement from {e: 1, y: 5, k: 4, q: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 4\/21*o**8 - 6*o**2 + 0 + 0*o**4 + 0*o**5 + 16\/35*o**7 + 0*o**3 + 3\/10*o**6 + o. Factor l(m).\nAnswer: 4*m**3*(4*m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3057661 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 39 + -28 + (-13 - -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -649*l**5 + 108*l - 772*l**5 + 6 - 906*l**5 - 6 wrt l?\nAnswer: -46540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/3 + -26\/15. Suppose 15 = 27*i - 22*i. What is the closest to -1 in i, 3\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/80 - 5*w**4\/16 + 31*w**3\/12 - 6*w**2 + 6*w + 7. Let r(c) = 0. Calculate c.\nAnswer: 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 10*z + 3*q - 10, -3*q - 52 = 12*z - 5*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 50\/7, -1, 2\/3, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4008*s - 3224*s = -18032 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1075*f + 7533 + 964*f - 2041*f + (2 - 2 - f)*(0 - 3 + 2) in the form g*f + n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from myomijimmji.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2302*h**3 + 332*h**3 + 2*h**2 - 2*h**2.\nAnswer: -1970*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.9 + 84. What is the closest to m in 2, -0.12, -4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*a**2 + 21 + 30*a + 61*a**2 - 102*a - 32*a**2 - 36*a.\nAnswer: 3*(a - 7)*(5*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*l - 129*l + 183*l + (12 - 12 - l)*(4 + 0 - 2) - 2*l + 3 - 3 to the form i*l + m and give i.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2346 and -6.204.\nAnswer: -2352.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 71. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-25300)*-30*(140\/(-63))\/(5\/15).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17977 or -17997?\nAnswer: -17997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 130.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**7\/30 + z**3\/3 + z**2. Differentiate q(j) wrt j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -83. Suppose 261 = 4*i + p, 2*i = i - 4*p + y. What is the highest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 5 (b) -6 (c) -1\/9 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)\/x)**(-49)*x**8*x*x**(2\/3)*x assuming x is positive.\nAnswer: x**(601\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 + 4)*(-2*v**4 + 0 + 0).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 106146 divided by 14\nAnswer: 53073\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 14. Find the common denominator of 54\/7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2779 - 348 = -4*f + c, 0 = 2*f - 5*c - 1559. Suppose h + p = 393, 0 = 2*h + 4*p - p - f. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776919468.\nAnswer: 2, 3, 13, 4980253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*n**3 - n + 3\/2*n**2 - 7\/2*n**4 + 0 + 3\/2*n**5.\nAnswer: n*(n - 1)**3*(3*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 a when four letters picked without replacement from {a: 3, r: 2, p: 1, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h. Let i(q) = 23*q - 18. Let b(g) = -3*i(g) - 3*o(g). Let a(p) = p - 1. Calculate -108*a(s) - 2*b(s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(396) + -1*sqrt(396))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-15))\/1*(-504)\/(-2912).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -717*o + 3634 + 13394 - 79773 for o.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let l(r) = -7*r - 2. Let j(o) = -15*o - 4. Let d(t) = 3*j(t) - 7*l(t). Give -6*c(g) - d(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*d + 2269 - 6872 = 4003 + 10470 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2307 + -822. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 45. Let v be 1 + (b\/(-16))\/3. Let k = 0.554 - 0.054. Sort v, k, 3, -1 in descending order.\nAnswer: 3, k, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunn when four letters picked without replacement from {u: 1, x: 3, n: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -299? (a) 1\/2 (b) 5 (c) 1 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29051, -58162, -87265, -116360, -145447?\n\"Answer: 4*z**2 - 29123*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 31 - 33 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22913 + -22914. Which is smaller: p or -2\/14719?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120980 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(4 - 76)\/(-3). Sort u, 0, -2\/9 in increasing order.\nAnswer: u, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from uuufeufsee.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*c + 4*c**4 - 93044*c**2 - c + 413*c**6 + 93535*c**2 wrt c.\nAnswer: 49560*c**3 + 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14*(-161)\/(-23). Solve a*r = 2*f + 10, -r = -4*r - 2*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176076, -352182, -528288, -704394, -880500?\nAnswer: -1056606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -203904 divided by 32?\nAnswer: -6372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 2, i: 4, x: 1, t: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -35772*k - 12019370. What is g(-336)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(4\/(-2)*(-1)\/(-10)). Solve -2*p = 2*r, p = -3*r + u - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 26*m**3\/3 - 288*m - 2. Let k(q) = -16*q. Determine k(z(t)).\nAnswer: -832*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1206384 and 16286184?\nAnswer: 32572368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:58 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5346*g**2 + 2694*g**2 - 1 + 1 + 2577*g**2.\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + -4.31427507\nAnswer: -4.19427507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let c be u(-4). Let v = -5482 - -5490. What is the closest to v in -2, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*i - 2*i + 2*p, 0 = 3*p. Suppose 0 = 2*l + 3*l. Solve l = -y + 2*q + 10, -1 = 2*y + q + i*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - 9*78\/54. Let c(y) = -y**2 - y - 6 + 4*y - y**2 - 7*y. Let p(a) be the first derivative of 2*a**3\/3 + 3*a**2\/2 + 5*a - 1. Give n*p(j) - 3*c(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = -22. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 859.715 - 128.28.\nAnswer: 731.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 10*j - 2*d + 3*d + 42, -2*d - 31 = -12513*j + 12516*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 659*d**4\/6 + d**3\/3 - 1275*d**2\/2 + 138*d. Find the second derivative of p(n) wrt n.\nAnswer: 2636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:44 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 15*j**2 - 20*j + 10. Let h be 10\/(3\/2 + -2)*(-1444)\/(-1805). Give v(h).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2934139 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -151 + -3?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5d (base 16) to base 2\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018209062 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 35*a + 24. Let i(h) = 3*h**2 + 99*h - 72. What is 6*i(g) + 17*o(g)?\nAnswer: g**2 - g - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -2844, -9447, -22262, -43359?\nAnswer: -74808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934 - 2*g**2 - 934.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126858551, 126858550, 126858549?\nAnswer: 126858548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 5 (b) -0.1 (c) -1.4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -8*n + 12*n. Let m = n - -67. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 - 2*j - 6. Calculate d(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -818315*k + 1. Let o(w) = -2*w. Calculate q(o(x)).\nAnswer: 1636630*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 6*w**2 - 9*w + 7. Does 10 divide u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67619 = -1733*h - 25963 for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x + 25. Let d = -3 + x. Solve 4*j - 2 = d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - j - 198 = 72*j. Put j, 3, 6, 4, -5 in ascending order.\nAnswer: -5, j, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435987009?\nAnswer: 3, 3779, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 973, 2142, 3767, 5848?\nAnswer: 8385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*v + 42*v**2 - 94*v**2 - 1255*v**6 + 4444*v**6 + 3*v**2 + 44*v**2 wrt v?\nAnswer: 382680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 8761806.\nAnswer: 96379866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -67*3 - (11 + -14 + 2). Let y = o + 198. Let l(z) = z. Let w(g) = -16*g - 3. Let j(c) = -5*l(c) - w(c). What is j(y)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 4*n - 3 + 2*n**2 + 8*n**2. What is the units digit of z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.7 times -35818\nAnswer: -562342.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132120744?\nAnswer: 2, 13, 1423, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 5, 3\/7, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w + 142. Let h be f(13). Calculate the remainder when (h - 0) + -17 + 1 + 83 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 35*r + 10. Calculate z(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 + 5 = 0. Let n be 1*(-7)\/(21\/78). List the prime factors of 4\/12 - n\/l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1865e - 5?\nAnswer: -b18663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.7 - 14.74. Let y = j + -4. Let i = -1.96 + y. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v, -686*v + 33 = 5*a - 689*v. Sort 1, -3, 4, a in decreasing order.\nAnswer: 4, a, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8873 + -8873. Put -2, -5, f, 0.435, 3 in descending order.\nAnswer: 3, 0.435, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000081195748 rounded to 7 decimal places?\nAnswer: 0.0000812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -39\/157, 5.\nAnswer: -39\/157, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(22)\/(sqrt(11) + sqrt(33)\/sqrt(3)) + (sqrt(10)\/(sqrt(5) - sqrt(5)*2) - sqrt(2)))*-1 + (3*sqrt(3200))**2 + -3.\nAnswer: 3*sqrt(2)\/2 + 28799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**4 + h**2 + h - 1. Let o(k) = k**4 + 9*k**3 - 157*k**2 - 6*k + 6. Let r(a) = -6*l(a) - o(a). Find the third derivative of r(u) wrt u.\nAnswer: 120*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 124*j**2 + 4917*j - 63162.\nAnswer: (j - 58)*(j - 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v. Let f(h) = 6*h**2. Let r(k) = -6*k**2. Suppose 9 = 3*j, 5*j - 2*j - 3 = -t. Let y(g) = t*r(g) - 7*f(g). Calculate y(p(q)).\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (468\/24 + -9)\/(3\/(-2)). Let z(t) = -t**3 - 7*t**2 - t + 1. Give z(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 9, -0.2, 0.36 in descending order.\nAnswer: 9, 2, 0.5, 0.36, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7*f = 4*o - 152, 2*o + 3*f = 79. Let l be 1\/(-2) + o\/10. Let k = l + 1. Solve -5*y + 10 = 4*s, -11 = -k*s + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -440\/12057 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 10*l = 4. Let o be 8\/(-288) + l\/(-4). Factor 2\/9*x**2 + 0 - o*x**4 - 2\/9*x**3 + 2\/9*x.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -535 - -532. Sort -83, -0.4, y, -1.\nAnswer: -83, y, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 905 divide 168237613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56788, 113569, 170350?\n\"Answer: 56781*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 9078?\nAnswer: 90780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/11 - 1140*v**3\/11 - 139258*v**2\/11 - 5493480*v\/11 - 68632200\/11 = 0.\nAnswer: -419, -91, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 10*s**2 - 6847*s + 61707. Determine c(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1110 - 1?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2144, 4778, 7830, 11294, 15164, 19434, 24098, 29150?\n\"Answer: -l**3 + 215*l**2 + 1996*l - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -727563747 and -0.1?\nAnswer: 72756374.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**7\/t*t)\/(t*t**(1\/2)))\/(((t\/((t*t\/(t*t**(6\/11)))\/t))\/t)\/t*t)**(17\/2))**(-47) assuming t is positive.\nAnswer: t**(-893\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 110*d + 7. Let a(j) = -40*j**2. Give x(a(h)).\nAnswer: -4400*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) 609 (b) -0.2 (c) 4 (d) -14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 12 - (-1 - 0). Let c(q) = q**2 + 4*q - 3. Let t be c(x). Solve -10 = 4*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let f = 380681 + -380681. Solve f = v - 6*v + l*m + 1, 3*m - 3 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 28*j - 234. Let z be r(-7). Suppose -z = -2*d + 42. Calculate the remainder when 151 is divided by d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*z - 22192, 4*c + z - 33291 = -11083. List the prime factors of c.\nAnswer: 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 262? (a) 1 (b) 0.3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -3666489988.\nAnswer: -3666489987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2347077 + 5*v + 2351443 - 4*v as n + f*v and give n.\nAnswer: 4366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/2, 16, -3 in descending order.\nAnswer: 16, 1\/2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24344*y**5 + y**3 + 29389*y.\nAnswer: 486880*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182447261 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 1576*l**2 - 9512652*l - 507024 = 0.\nAnswer: -21\/394, 6036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d**2 - 5*d - 13. Let s be j(-3). What is z in s*z**3 - 7*z**2 + 30*z**2 - 5*z**3 - 59*z**2 = 0?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29052439 and 1854411?\nAnswer: 87157317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26182172 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 969*q**2 - 969*q**2 - 208*q**3 + 3058 wrt q.\nAnswer: -624*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Let r(w) = -w + 2. Suppose 2 = -x - 3. Let j be r(x). Solve -d*b + 2 = j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*r**3 + 23*r**5 - 53*r**3 + 2825*r - 20*r**5 wrt r.\nAnswer: 60*r**3 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j + 3. Let f(u) = 6*u - 1. Let i(m) = -5*f(m) - 2*y(m). Suppose 1 = -l - 0. Determine i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 27.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**10)\/(v\/(((v*((v*v\/((v**(1\/24)\/v)\/v))\/v)\/v)\/v*v*v)\/v)))**30 assuming v is positive.\nAnswer: v**(-845\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from {f: 8, x: 7, a: 2, z: 1}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - b = -8, 40 = a + 4801*b - 4796*b. Solve a = -297*u + 298*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 100 = -4*f, f - 1 = -3*x + 105. What is the smallest common multiple of 18\/(-5)*(-120)\/x and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*c - 128, -7*c - 16 = -3*c. Suppose -29*x + v*x = -6. Solve x*n = 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 10}. Give prob of sequence ddd.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + 3\/(-1 - 2). Let v(a) = 3*a + 2*a - 3*a - 5 - 1. Is 6 a factor of v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101652647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26275 and 652125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -33\/227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477 is divided by 1480.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/2 - 21*b**3 + 171*b**2\/2 - 108*b.\nAnswer: 3*b*(b - 8)*(b - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 3*d**2 - d + 5. Let v be t(-4). Let n(x) = x + 15. Suppose 0 = 6*y - y - 80. What is the lowest common multiple of y and n(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 4*u + 18. Let i be o(4). Let b(p) = p - 26. Give b(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19694, -39399, -59112, -78833, -98562?\nAnswer: -118299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.993619 hours to days.\nAnswer: 0.124734125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6777 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 - 218 - (3 + 24)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2982 - -2990. Calculate the greatest common factor of 2264 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13 = 2*w + 5*r, -r = -5*w + 20. Let u be 104\/18 + 3*-1 - w. Suppose 3*k - 1 = 11. What is the closest to 1 in u, -3\/2, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/1 + 1 + -2. Suppose -r*h = 2*h - 85. What is the remainder when 49 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3022, 6040, 9058, 12076, 15094?\n\"Answer: 3018*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*x - 579*x + 1739*x - 579*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7351579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Let z = -9 + 12. Let u be 164\/(-252) - 9\/(-21). Which is the closest to g? (a) -3 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.8 + 79. Let u = -14.11 + t. Round u to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -26*a - 76. Let g be p(-7). Let u = g + -116. Is -10 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 15826?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10074*x**3 + 8829*x**2 wrt x?\nAnswer: 60444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6249*f**2*l**2*r**3 + 652*f**2*l**2*r**2 - 4*f**2*l**2*r + 35*f**2*l**2 + 22589*f**2*r**3 - 5*f**2*r**2 - 1 wrt r.\nAnswer: 37494*f**2*l**2 + 135534*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 22. Is 11 a factor of r(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 92095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -2.34 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8651.194mm?\nAnswer: 865.1194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(3*1\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l - 1. Let g(d) = -d**2 + 5*d - 3. Calculate g(s) + 2*z(s).\nAnswer: -3*s**2 + 7*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53272 and 100240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 90992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -21.89. Let w = 2.11 - a. Sort w, -2, -1 in increasing order.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - (14 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -2*t - 3*r, 8859*r - 8863*r = -4 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96194.\nAnswer: 2, 7, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 - 3*b + 1. What is t(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 4*v**2 + 1. Let u be -6*3\/((-3)\/(-11)). Let g be (u - 2)\/(-4) - -3. Suppose 4*h = -h + g. What is x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001236756542 rounded to seven dps?\nAnswer: 0.0001237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 6*g - 12*g. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 22. Put g, 0.1, -16 in increasing order.\nAnswer: -16, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2941, -13210, -30359, -54400, -85345?\nAnswer: -123206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-343))\/(160\/840).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020d (base 16) in base 9?\nAnswer: -220458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-30)\/9*(-1)\/2. Suppose 9*a = -o*r + 14*a + 50, 0 = 5*a. What is the least common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*i - 15. Let h(c) = c**3 + 10*c**2 + 12*c + 29. Let j be h(i). Suppose 0 = -j*p + f + 68 + 22, -2*f + 102 = 2*p. Does 47 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10) - 981\/(-15)) + 0. Let g = 25 + -18. Suppose 2*s + p = g*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373747.\nAnswer: 499, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**5\/4 - 35*p**4\/12 - 215*p**3\/3 - 420*p**2 - 81*p. Find x such that f(x) = 0.\nAnswer: -4, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -2\/9 (c) 121 (d) 0.145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -63.\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-2*-6 + sqrt(66))\/sqrt(6).\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 - 105*g**4 + 40*g**3 + 6540*g**2 + 17920*g + 11520 = 0 for g.\nAnswer: -18, -8, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let v(u) = -23*u + u - 177 - 65*u. Is 48 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10299\/5?\nAnswer: -10299\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/1792978 and 65\/1089.\nAnswer: 16136802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 398749.2 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let i(q) = -2*q - 3. What is t(i(c))?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 160963 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552480601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/7 + (-552097345)\/133. Let p = -12333670 + k. Let o = 7584778 + p. Round o to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/6 - -10\/3. Suppose 3*x - 12 = 5*n, 2*n - 2*x + 7 = -1. Which is the closest to n? (a) -1\/4 (b) j (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h - 170*h + 10962 = 188*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m. Suppose -h + 109360 + 6639 = m. Let g be (-2)\/4*-2 + h. What is g rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-3\/5)\/k*k)**(12\/11))**(1\/6) assuming k is positive.\nAnswer: k**(14\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 0)\/((-4)\/16). Calculate the remainder when 2\/((6\/(-3))\/h) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*y = -116, -3*b + 0*y = 4*y - 160. Suppose 2*s - 294 = -b. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/10 of a millennium?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - -2.12. Let y = g - 1. Which is smaller: 1\/4 or y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6757 + 22720. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57004 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*i**3 - 26*i**2 + 969*i - 253592977?\nAnswer: 171*i**2 - 52*i + 969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29 - -11.71. Let f = 12.1 - y. Let z = 1 + 0. Is f > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 3680?\nAnswer: -3682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 1 (c) -4 (d) 0.06 (e) -51\/7 (f) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/224 and 85\/308?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (-12 + -1 + 21)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsssssssc. Give prob of sequence bs.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -3, -141\/2, -33, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from dduydyuy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/5 - 13876044*t\/5 + 24068074636242\/5 = 0.\nAnswer: 3469011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + k**2 - k + 1. Let d(c) = -c**3 + 5*c**2 - 12*c. Let w(q) = d(q) - 4*l(q). List the prime factors of w(6).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(2 - (-4 - -8))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 - -44450242?\nAnswer: 44450004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/17 in -1, -0.4, 2, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/57)*m*m*m**(1\/17) assuming m is positive.\nAnswer: m**(2029\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -241, -1407, -4181, -9241, -17265, -28931, -44917, -65901?\n\"Answer: -113*x**3 - 126*x**2 + 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3 - 6. Let p be (7 - r) + -2 - 4. Determine c, given that 2*c - 5*c - 3*c**2 - 8*c**p + 12*c**3 + 2*c**2 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845855 is divided by 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 19.6. Let n = k - 4.6000077. What is n rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 13.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -18, -39, -68, -105?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2199937 and 866201.\nAnswer: 3066138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(72)\/(sqrt(9)\/sqrt(3)))\/((sqrt(375) + (sqrt(375)*1 - sqrt(375)) + sqrt(375))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9571\/85 - (-2)\/5 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13))**(-25)*r**(-29)*r\/(r\/((r*r**18)\/r)) assuming r is positive.\nAnswer: r**314","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.974457nm to millimeters.\nAnswer: 0.000006974457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.8 - 30. Let h = w + -5. Let r = h + 6.2. Which is the smallest value? (a) 0 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x**4 - 136*x**3 - 571*x**2 + 9*x - 9. Let q(k) = -14*k**4 - 136*k**3 - 570*k**2 + 10*k - 10. Let l(s) = 9*q(s) - 10*t(s). Factor l(p).\nAnswer: 4*p**2*(p + 5)*(p + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -u + 5*o, -15*o + 16*o = -4*u - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 79. Suppose -165 = -o + 5*i + 68, -3*i - 898 = -d*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 2 - 1\/6*m**3 - 11*m - 3\/2*m**2. Calculate y(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/7 - 23\/35. Let k = x - 11\/30. Let i be 21\/(-70) - 1\/5. Which is the closest to 0.3? (a) i (b) -3\/8 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3803*z + 442 = 3777*z. Which is the closest to -0.06? (a) -2 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6518155 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1755 (base 16) to base 10.\nAnswer: 5973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10 = 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 1\/105*b**7 + 0 + 0*b**2 - b + 0*b**4 + 0*b**6 - 1\/50*b**5 + 0*b**3. Factor l(y).\nAnswer: 2*y**3*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0334 * -1.7.\nAnswer: 0.05678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -0.5, 1682.5?\nAnswer: 1682.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6995341, 13990687, 20986033?\n\"Answer: 6995346*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1865, -3749, -5655, -7595, -9581?\nAnswer: -11625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3070*f**6 + 38*f**3 + 22*f**2 + 4*f + 976?\nAnswer: 368400*f**3 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 130 + 1510. Is y a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*o - 10, 4*z = -o - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176.74 - -4.26. Let g = -186 + z. What is the nearest to 0 in -0.3, g, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6816)\/(-14))\/(-4)*(-42)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 78*c. Let y(v) be the first derivative of -2*v**2 - 5*v - 842. What is k(y(z))?\nAnswer: -312*z - 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.01, 31, -1\/8, -10 in decreasing order.\nAnswer: 31, -0.01, -1\/8, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -15*f**5 - 620*f**4 - 1365*f**3 + 20*f**2 + 780*f = 0?\nAnswer: -39, -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581 - 139 = -8*f - 7*f. Calculate the greatest common divisor of 1888 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59593882 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 s, and 1 y when three letters picked without replacement from ryvrrwrjvwsyjs.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8246 = -4*g - 814. Suppose 8*p - g = -386. Does 46 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**7\/280 - y**6\/30 + y**5\/10 - y**3 + 3. Let u(n) be the third derivative of w(n). Factor u(x).\nAnswer: 3*x*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**3 - 2*r - 2. What is i(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-8)*(i\/i**7)**4 assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - 15. Suppose 0 = -3*c - 5*n - 43, 8*c - 3*c = -5*n - 55. Let h be (v\/(-12))\/(-5)*c. Solve -2*d + 16 = 4*r, -18 = -h*r - 0*r - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 3395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138350 is divided by 8123.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13575*d - 20954 = -3098*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*j = -32, -5*j = 10 - 25. What is the third smallest value in -4\/7, y, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -8 + 22 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 1057 = -103. Solve s*g - 50*g + 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72 - 14 - 85 - 177*x + 11 - 25 with respect to x.\nAnswer: -177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 11*z**2 - 96*z**3 - 9*z**2 + 2*z.\nAnswer: -96*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(9*k - 8*k - 18*k) + 0*k + k + 0*k.\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 17275.12\nAnswer: 34550.24","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/36173?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.01, 1\/4, -8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -1245?\nAnswer: 28635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:45 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 + 31512*d**2 - 28263*d wrt d?\nAnswer: 12*d + 63024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b368 + -13943?\nAnswer: -55a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -379 - -384. Let b(l) = 5*l**2 - l + 1. Let g be b(1). Find the second derivative of 14*h - 31*h + 2*h**g - 3*h**a wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 8*d - 3*d + 16*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154926826 is divided by 5964.\nAnswer: 5962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 13.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y - 2*m - 7, -3*y = -4*m - 19. Let q(x) = -x**2 + 5*x + 8. Let u be q(6). Suppose -u*v + 7 = -y. Which is greater: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*2 + 5 + 4)**2 + 0 + -4 + (sqrt(2057)*3)**2.\nAnswer: 396*sqrt(17) + 26818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/4, -77\/8, -1.\nAnswer: -77\/8, -1, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090093 is divided by 7767?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - 64\/176*11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*x - 346*x + 4 = 4*h, -17*x - 2 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -273, -423, -593, -789?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13928, 13\/3.\nAnswer: -2, 13\/3, 13928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -16740?\nAnswer: -16745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 334*y + 7. Let n(t) = 701*t + 14. What is 6*n(m) - 13*o(m)?\nAnswer: -136*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*-1)\/(sqrt(243)*-1))\/(-1*sqrt(432) + sqrt(27)\/(sqrt(54)\/sqrt(6))).\nAnswer: -4*sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 10. Suppose d = -2*k + k + 5. Solve -3*z - 4 = -k*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v + 0 = 25*v - 1. Let z = 3\/16 - -5\/16. What is the nearest to z in v, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, -6\/11, 3\/16, 10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 756 = -30*l. Solve 0 = x + g + 6, 4*x + 5*g = 3 - l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 + 3)) + 2 + -6 - 21?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -453 + 455. Suppose -s*x = -23*x + 628971. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 3*h + 3. Let n(m) = -m**3 + 2*m**2 + 4*m + 3. Calculate the remainder when j(-4) is divided by n(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*o + 5607 = 0, 19 - 7 = 3*o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/96*72*-2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a3 (base 12) in base 14?\nAnswer: -1439","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 + 2624*j\/5 + 15708\/5.\nAnswer: (j + 6)*(j + 2618)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1985, 2619, 3233, 3821, 4377, 4895, 5369, 5793?\n\"Answer: -x**3 - 4*x**2 + 653*x + 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/(-57) + 1*-3*(-112)\/84.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32395*w + 10200 = -32245*w for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21034056 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183 - 254 - 20)*(-2*y**2 - 2*y**2 - 9*y**2).\nAnswer: 5941*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3038496\/35 + 86820. Let n = g + -38\/7. Which is the closest to 2\/3? (a) 5 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5282714 is divided by 142776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28968722 divided by 28968722\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6980221\/20 + -349017. Calculate the common denominator of (-1)\/3 - 334\/(-60) and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllltlltl. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -521*h**2. Let l(j) = 111*j**2 + 3163. What is l(i(b))?\nAnswer: 30129951*b**4 + 3163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k = 179 - 27. Solve -g - 2*y = 4 + k, -4*g - 10 = -3*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14596 not equal to 2729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 + 2*i + 2. Let m be x(-1). Suppose m - 26 = -4*f. What is the smallest common multiple of 14 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/25, -1, -11.95, -134 in decreasing order.\nAnswer: 6\/25, -1, -11.95, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let k = -0.77 + -0.13. Let r = -4.9 - k. Which is the closest to -1? (a) 0.2 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258\/13 + 1045\/52. Which is the nearest to -0.01? (a) -0.9 (b) f (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 183424.7 litres?\nAnswer: 183424700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24148?\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.992 + 0.008. Which is the smallest value? (a) 0 (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493045 is divided by 18962?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 11 - 121 = 0. Calculate the highest common divisor of c and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbdbbdkdadddd. What is prob of sequence abk?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 21. What is the common denominator of -125\/18 and (258\/u)\/(-1 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 292, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2550 = -3*l. Suppose -2523 - 2237 = -17*w. Let n = l - w. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/((v*v**1)\/v))**38)**8 assuming v is positive.\nAnswer: v**912","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6654 + -1974. Is f a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 - 4*u**2 + 41*u + 66. Let h be l(-3). Let q(p) = -3*p. Let o(z) = -14*z. Calculate h*q(w) + 3*o(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 14*h**2 - 6*h - 18. Let z be q(-14). Let u = z + -46. Suppose -2*c + u = 4*t, -c = -1 + 5. Solve 5*p + 4*l = 18, -3*l = -3*p - t*l + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1532065)\/(-475)*10\/2*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 168172994?\nAnswer: 1681729940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 5329*i + 5329*i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3454, -3455, -3456, -3457?\nAnswer: -3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02768 and -21.6.\nAnswer: -21.62768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-56)*(-14)\/(-12))\/(7128\/594)?\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1\/1 - -19. Suppose 15*k - 95 - 85 = 0. Suppose 23 = 7*m - k. Solve m*i + 6 = -j, -i + 4*j = -0*i + b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*m**4\/2 + 182001*m**3 + 672396*m**2 - 206976*m = 0. Calculate m.\nAnswer: -17248\/23, -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-584)\/2044 - 2*2\/(-14). Let l(f) be the third derivative of -3\/2*f**3 + 25\/24*f**4 + i*f - 8*f**2 + 0. Find the first derivative of l(k) wrt k.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/2*h**4 - 42 - 299\/2*h**2 + 1\/4*h**5 + 66*h**3 + 535\/4*h.\nAnswer: (h - 24)*(h - 7)*(h - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-603)\/(-536))\/((-6)\/(-32))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(847)*1 - (-5 + sqrt(847) + 0 - sqrt(847))) - (-4 + 6*(sqrt(112) + sqrt(112)*-1 + sqrt(112))\/sqrt(4)).\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**4\/5 - 108*c**3\/5 + 1071*c**2\/5 - 366*c + 864\/5 = 0.\nAnswer: 1, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37.50551 nanograms?\nAnswer: 0.00003750551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 340, 345, 352, 361, 372?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 91?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 16359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-792)*(-9)\/15*(-6)\/(-46).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**2 + 3*m - 3. Let u be 182\/16 - (-9)\/(-24). Suppose u - 7 = -r. Let s(b) = 4*b**2 - 2*b + 2. Give r*s(a) - 3*i(a).\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2918745.\nAnswer: 1\/2918745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4492183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 + 14*h**2 - h + 11. Let v be m(-5). What is the lowest common multiple of v\/(63\/(-1183)) - 9 and 2?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/79 + 287\/790. Let l = -1.2 - -1.4. Let y = 0.8 + l. Is a at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 32 - 23. Suppose -2*n - 264 = -r + 2*n, 4*r = f*n + 1004. What is the greatest common factor of r and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54770, 55264, 56086, 57236, 58714, 60520?\n\"Answer: 164*y**2 + 2*y + 54604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -4*n + 4*y, 0 = -2*n - 3*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a. Let z(g) = g**2 + 1. Let t(x) = -h(x) + 5*z(x). Let t(i) = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 54*f**2 + 2676*f - 913994. Let d(s) = 4*s**2 - 2*s - 3. Let m(x) = 28*d(x) - 2*z(x). Find h such that m(h) = 0.\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/10 and 39\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -6.78, 2\/5, -4\/7, -0.2 in decreasing order.\nAnswer: 2\/5, -0.2, -4\/7, -6.78, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x + 1. Give o(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:16 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 17*k + 393 = 0, -235 - 68 = -5*l - 12*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*f - 48*f + 41*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2979510)\/(-45))\/((-4)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (681\/54)\/(6\/(-3472)). Suppose 22*t = 2009 - 162609. Let l = t - n. Calculate the common denominator of l and -47\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581161.7 years in millennia?\nAnswer: 581.1617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/4 - 11*y\/4 - 5\/2 = 0. Calculate y.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 - 82 - 4*w)*(-16827 + 16827 - 229*w**2).\nAnswer: 916*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g + 5 - 1 + 7*g.\nAnswer: -28*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -106662, -213231, -319704, -426081, -532362, -638547?\n\"Answer: 48*m**2 - 106713*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398746.\nAnswer: 2, 199373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -100*p + 539 - 39 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -358\/819 + 1\/117. What is the nearest to 0 in 0.4, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 0. Suppose 130 = 4*z + y, 116 = 3*z - 5*y - 16. What is the remainder when z is divided by 1*(m - 0 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 - 4286*j - 541. Determine f(-69).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3*1*493\/(-1392) and 29\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -13*u + 81 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -146, -167, -196, -233?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167151 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 2. Let y be s(6). Let q be 3*10\/(-3)*-1. Let h = q + y. Solve 3*b = -3*m + 13 - 4, b - 5*m + 9 = h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 3*g**3 + 0*g + 6*g - 6*g**2 + 9 + 2*g**3. Give l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 215279*v - 215279*v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7530*10.\nAnswer: 75300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, -640 in descending order.\nAnswer: -2, -12, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 7*t + 1. Calculate r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 + 1 = -5*q, -4*q = s - 11. Find the first derivative of 2*k**q - 1 + 0 + 2*k**2 wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.52? (a) -3 (b) -1582 (c) -0.05 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 28 + 7*x**2 to the form j*x**2 + v*x + b and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13 - 10*d - 7*d**2 + d**2 + 5*d**2. What is the lowest common multiple of t(-11) and (-2)\/(1\/(-1 - 5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 12*j + 4. Let w be v(6). Suppose 16 = w*f - 0. Suppose -128 = -f*t - 52. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from hhqqqqt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**2 - 2*u**2)*((2 - 1 - 2)*(-3 + 3 - 2) + 11 + 3 - 1).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 415*a - 419*a - 64 = 0, -w = 4*a - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 213.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -348429010*l - 248651906 wrt l.\nAnswer: -348429010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 204*n - 3388. Is 59 a factor of f(-99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.836666km?\nAnswer: 383666.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 56. Let s be n(10). Let y(w) = w**3 + 6*w**2 + 6*w + 5. Determine y(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 5782?\nAnswer: 5782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p + 28. Let u(z) = -11*z - 42. Determine 8*o(b) + 5*u(b).\nAnswer: b + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 51?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9645 + -8399. Does 89 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (483\/(-14490))\/(2\/190)?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:05 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (393668\/44)\/(1 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 12. Let q = 125 - 117. What is t(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 2*i + 30, 2*s = 5*i - 1011 + 1018 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539.489 months in centuries?\nAnswer: 1.2829075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (-231)\/(-22). Is 115\/s*(-1 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqbuub. What is prob of picking 2 b and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 4*x - 1. Let f be a(3). Let n(i) = -634 + f*i + 642 - 7*i. Let h(t) = -6*t + 9. Determine -4*h(m) + 5*n(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/9 + 22*x**3\/9 + 26*x**2\/9 - 262*x\/9 - 88\/3 = 0.\nAnswer: -3, -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Suppose -i + o*i = 0. Suppose -5*y + 2 + 3 = i. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/3))\/f)**(-12\/19)\/((f\/(f*f\/(f**(-1\/6)\/f)*f))\/f*f**(2\/43)*f) assuming f is positive.\nAnswer: f**(17359\/4902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444853.\nAnswer: 661, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-370)\/10*109*-1.\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Let o be ((-9)\/30)\/(3\/b). What is the smallest value in -0.5, 3\/2, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 296*t**2 - 844*t**2 + 284*t**2 - t + 290*t**2. Calculate d(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-63) + (-587)\/3. Let z = x - -277. Let o(h) = -h**2 - 10*h - 7. Calculate the remainder when z is divided by o(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180 - 174. Let h(u) = 87*u**2 - 36*u + 163. Is h(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (9 - 10) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 33 = 0. Let j = -8 + o. Find the third derivative of 2*r**2 + r**j - r**3 + 2*r**4 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*p + 14. Let y(l) = 18*l**p - 1 - 2*l**2 - 19*l**3 - 3. Calculate y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = i - 1, 3*f = 8*f + i - 5. Solve 6 = -f*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7291, -7289, -7287, -7285, -7283, -7281?\nAnswer: -7279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 0 (c) 129 (d) 9 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-14))\/z**(-1\/13) assuming z is positive.\nAnswer: z**(-168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715251739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -6*q + 0 + 1\/6*q**3 - 1\/2*q**2. Determine x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88714*q - 58855 wrt q.\nAnswer: -88714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7444 + 2196. Let c(w) = -2*w + s - 1312 + w. Let x(h) = 26*h**2. Calculate c(x(d)).\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -710. Calculate the remainder when z is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1269, -1\/3 in ascending order.\nAnswer: -1269, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (2 + sqrt(343))**2).\nAnswer: 56*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1350\/121 - 65855\/968. Let b = -57 - g. Sort -1\/4, -0.3, b.\nAnswer: -0.3, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1845966 times 1\nAnswer: -1845966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2503\/7 - -358. Let z = 2.6 + -3. Put 0.5, 0, z, o in descending order.\nAnswer: 0.5, o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103.435671 - -0.004.\nAnswer: -103.431671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 11*i - 32*i + 868. Solve -26 = i*r - 18*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8685 and 8700?\nAnswer: 5037300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 710. Let b be (-6 - -8) + 359 - 5. Is k >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43308805 to the nearest integer?\nAnswer: 6581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 3*d + 8, -k - d = -1. Let p(u) = u**2 - 5*u - 4. Let a be p(6). Let y(s) = -a*s**2 + 0*s**2 + 3*s**2 + 4*s**3. What is y(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 2\/6*3. Let u be -1 - (g - (0 + 0)). Let k(z) = -2 + 0 + u. Let v(s) = 2*s - 4. What is -5*k(j) + v(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*3\/(4\/4). Let m(y) = 2*y**3 - y**2 - y**3 + y**3. Let s be m(-1). Sort 4, a, s.\nAnswer: s, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 2 + 0 - 3 - 12*r - 5*r.\nAnswer: -17*r + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194038, 194043, 194050, 194059?\nAnswer: 194070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 5*w - 3*i, -2*i = -4*w + 6. Suppose 2*q - 4*d = 68, -q - 5*d = 2*q - 69. Let f be q\/6*2\/((-40)\/(-6)). Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12412 + 12411.9978249. What is z rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234488949391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 + 93 = 19*z. Suppose -x = -2*y + 5 + 5, -4*y = 3*x. Let c(v) = -36*v**3 - 16*v - 6. Let u(n) = 7*n**3 + 3*n + 1. Calculate y*c(m) + z*u(m).\nAnswer: 4*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5709595 and 1140?\nAnswer: 68515140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7778 - 7914 = 34*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 1593 + 428. Suppose -s = -42 - t. Suppose -4*h + 25 = -s. What is the remainder when h is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 25*k + 46. Let d be (((-6)\/8)\/(-1))\/((-53)\/1696). Let t be z(d). Let x = -20 + 75. Calculate the highest common factor of x and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2*r - 4*r)*(0*r - r - r) - 3*r + 131*r**2 - 72*r**2 - 65*r**2.\nAnswer: -8*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15128*h**3 + 1765*h**2 + 82*h + 6. Let a(i) = 5043*i**3 + 589*i**2 + 31*i + 2. Let d(y) = -8*a(y) + 3*u(y). Find the third derivative of d(j) wrt j.\nAnswer: 30240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175234 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.23 - -0.23. Let f = a + 11. Put 0.02, f, 0.4 in ascending order.\nAnswer: 0.02, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 345\/(-39) + 4\/(-26). Is (-344)\/f - 8\/36 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180*n**5 + 24*n**4 - 40*n**5 + 10*n**4 - 9355*n**2 + 7*n**4 - 46*n**4 wrt n.\nAnswer: -13200*n**2 - 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = -m + 6, 5*m - 3*c = 7. Let v(z) = 3 + 3 + 6*z**2 + z**3 - m*z + 6*z - 3. What is v(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 2}. What is prob of sequence rcrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from rarptannnpaa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*p*r*v**2 - 19*d**2*p*v**2 + 2*d**2*p*v - 23*p*r*v**3 + v**3 wrt r.\nAnswer: 2*d**2*p*v**2 - 23*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 3. Suppose 91 = 5*d - r, 0 = 2*d - 4*d + r + 37. Let h be 1 + -1*(d + -4). Does 8 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-2) + 2)*82\/(-123). Which is smaller: h or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 518, 4, 58, 3, 0, -5, -1.\nAnswer: -5, -1, 0, 3, 4, 58, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -4*q. Let f be (4\/2 - -19)*1. Suppose 5*s - f - 4 = q. Solve -2*k = o - 7*k + 17, -4*o = s*k - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 7, n: 4, m: 2}. What is prob of sequence gzm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045 plus -42034?\nAnswer: -42033.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/(6\/(-44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1512, -3011, -4508, -6003?\n\"Answer: t**2 - 1502*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21138 + -21134. Which is the second smallest value? (a) 0 (b) -0.5 (c) u (d) 2\/25 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2385\/(-7155)*1*6\/188?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - f - 206, 4*j + 6*f = 5*f + 202. Let m = j + 508. List the prime factors of m.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-6\/19))\/x)*x*(x\/((x**(-7\/2)\/x)\/x))\/x)**(1\/29) assuming x is positive.\nAnswer: x**(273\/1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7751 (base 9) in base 11?\nAnswer: -4327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 35 + (-2542 - -2597).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6913 - -9840. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -54, -3, -4, 51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14952, -29890, -44828, -59766, -74704, -89642?\nAnswer: -104580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = 3. Let d be 0 + 1 + 1 - u. Let q(w) = 3*w**2 - 1 - 2*w**3 + 0*w + 3*w**d - 3*w. Calculate q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4351 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x**2 - 6*x + 4. What is g(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 427, 1558, 3451, 6106, 9523, 13702?\n\"Answer: 381*r**2 - 12*r + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b = 9*l - 4*l, -3*b - 3*l = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 7) in base 11?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 5:19 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*j - 14, j = -5*r - 3*j + 26. Let c(g) = g**2 + 4*g**2 - g**2 - 2*g**r. Let l(o) = o**2. What is c(l(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*x + x - 3940, 4*x + 3*g = 5263. Suppose -22*m + 17*m = -x. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*n - 19202 + 2710. What is the highest common factor of n and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30914257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -982.33569 to one decimal place.\nAnswer: -982.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:31 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*h + 186 - 84*h + 52*h - 107*h wrt h.\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/58703?\nAnswer: -2\/58703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*r + s - 34, -10 = -r + 2*s. Calculate the lowest common multiple of r and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110122221200 (base 3) to base 10.\nAnswer: -249282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000625735 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (93\/1)\/(6\/4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.92989us?\nAnswer: 0.00992989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154 + 605404?\nAnswer: 605561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116119 - -80131. Suppose 111*q = 75 + 36. Let c be m\/48 + q\/(-4). What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 168*z + 174*z + 3)*(-4 - 4*z + 3*z + 2) to the form h + t*z**2 + o*z and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10*q = 7*q + 16, -3*b - q - 2 = 0. Sort -10, b, -32 in descending order.\nAnswer: b, -10, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 6*y + 9. Let i be g(7). Let p be (i\/(-6))\/((-1)\/12). Let l be 4*(1 - (-7)\/p). What is the highest common divisor of 121 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -7, -39, -95, -181, -303?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-55)\/5 + 13. Solve 2*i + 4*s + 2 = 0, z*s = 5*i + s - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2081\/11 - -189. Suppose -28 = -31*x + 26*x - 2*t, 29 = 5*x + t. Which is the biggest value? (a) x (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -195*q**2 + 3. Let k(t) = -2*t**2. Calculate c(k(a)).\nAnswer: -780*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*y = -24, 4*t - 6*y - 18 = -5*y. Differentiate -2*u - u + 4 - t wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*x, -3*x + 8 = -y + 19. Let d(g) = 10*g**2 + g + 1. Let m be d(1). Let q be (y\/(-6))\/((-28)\/m). Which is smaller: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-4)\/72*-6. Suppose -o + g = f - 15, f = -5*o + 64. Put 1, -3, o in increasing order.\nAnswer: -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23736*b + 154. Determine l(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12925859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(4 - 2) - -5. Find the third derivative of -x**2 - x**6 + 2*x**i + x**2 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -226.703 + 228. What is l rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 8:35 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f = -d + 72*f + 44, 5*f = -4*d + 204. What is the remainder when 1838 is divided by d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:40 AM?\nAnswer: 417","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from yybbyvybbbbbyvb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*-0.140433.\nAnswer: 0.2246928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z = -48*z + 518 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 33 + (-22 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 54. What is the tens digit of (228\/15)\/(j\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/9976 and 19\/129688.\nAnswer: 129688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12 - (13 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(10) + -4*sqrt(20)\/sqrt(2))*6)\/(sqrt(10)\/(sqrt(4)\/sqrt(2))*5) + 4.\nAnswer: -18*sqrt(2)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u + 9. Let d be (-1)\/(14\/u - 2). Sort 0.2, 2, d in descending order.\nAnswer: 2, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -13, -47, -115, -229, -401, -643?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 8*f**2 + 13. Let x be w(-8). Let p be 2\/28 - 0\/x. Is p bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/8 greater than or equal to 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3)*((8866\/442 - 5\/85) + -22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23132889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 112248*c - 3149903376.\nAnswer: -(c + 56124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10e9c (base 15) to base 6.\nAnswer: -1053350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -s. Let t be -9*(70\/s)\/(-5). Let p = t - 19. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**5 + 56465773*i**4 - 6*i**2 - 103482638*i.\nAnswer: -240*i**2 + 1355178552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11.66, -1\/10, 5, -0.89?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 571 = 5*g - 537, 10*m + 70 - 12 = -11*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-30)*(-740)\/(-24))\/(669\/(-892))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 124*u**3 + 54*u**2 - 21*u + 155. Let r(n) = 29*n**3 + 13*n**2 - 5*n + 39. What is -4*h(i) + 17*r(i)?\nAnswer: -3*i**3 + 5*i**2 - i + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 9*q. Let w be c(6). Let v = 19 + w. Let h(f) = -f - 1. Give h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 105, 195, 269, 327, 369, 395?\n\"Answer: -8*l**2 + 114*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2\/8*-26. Solve -4*z - t = -2*o + 5, -2*o = 2*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*w + 58 - 22, 5*z - 2*w - 32 = 0. Let i(l) be the second derivative of -l**3\/3 + 13*l**2\/2 + l. Give i(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*v + 9, 0 = -70*v + 31*v + 32*v + 22*v - 30 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1 - 3*x**2 - x**3 - 2 + 2*x**2 + 7*x. Let g be m(-5). Suppose -8*y + g = -4*y. Calculate the smallest common multiple of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -51*u + 4. Suppose -4*q = 16 - 0. Let m be i(q). Let o = m - 130. What is the remainder when o is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 128*x + 945. What is n(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2*(-4 + 5)*1). Suppose 7*u - 68 - 170 = q. Calculate the highest common divisor of u and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -1\/40*t**5 + 0*t**2 + 0 + 0*t**3 + 1\/48*t**4 + 1\/120*t**6 - 2*t. What is c in y(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*z**4 - 675*z wrt z.\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.174 times 2.56\nAnswer: -0.44544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 25. Let t be w(5). Let x be (2 - 6) + t + -3 + -1. Suppose 0 = x*a - 90 - 106. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2 (b) -1775\/7 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - t - 2. Suppose -5*z - 4*z = -7*z. Give r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 28*z**2 - z + 26. Let k(q) = 47*q**2 - 2*q + 50. Let u(j) = -5*h(j) + 3*k(j). Calculate u(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (1 + -3)\/2. Suppose -4 = -2*x - c. Suppose 2*h = -0*h + x*g, -g - 1 = 0. Put 1, h, -5 in descending order.\nAnswer: 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 190 - 2 = -4*h, 0 = 4*g + h - 183. What is the highest common divisor of 138 and g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5331 bigger than -5218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 548*s\/3 - 75076\/3.\nAnswer: -(s + 274)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 118*i**2 + 124*i + 260. Determine b(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 24\/(-9) + 1\/(-3). Suppose 0 = -4*f + u*f. Is 4\/(8\/138) - (f + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10805\/9 - 1201. Which is the third smallest value? (a) w (b) -5 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t - 72 = 3*b, -3*t = 2*b + 74. Let o be 3\/(-15) - t\/5. Let z(w) = -w**3 + 4*w**2 + 6*w - 7. Give z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2934 and -61\/45.\nAnswer: 14670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 15*a**2 + 13*a - 23. Is z(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111000101100001100 - -100?\nAnswer: 1011111000101100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 783 and 26599401?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.83362 milligrams to tonnes.\nAnswer: 0.00000005483362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1729*f + 1 + 4905*f - 2 + 2 in the form d*f + y and give d.\nAnswer: 3176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (1 - -18)) + -1 + -12 + 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46844273 and 959.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -85, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 13*i + 7 + 28 - 19 + 23*i + 32.\nAnswer: -3*(i - 4)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 = -u, 0*m = 2*m + 3*u + 4. Suppose -3*p - 1 = 4*l, 3*p = m*p + l. Let a(w) = w**3 + w. Let y be a(1). Put 5, p, y in descending order.\nAnswer: 5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 24*c**2 - 22*c - 18. Determine l(-23).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = 4*c, -4*c - 5*t + 0 = -14. Suppose 3*q + 2 = 4*w - c, 3*q + 9 = 2*w. Let g(l) = l**3 + 5*l**2 - l + 5. What is the units digit of g(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {d: 3, a: 3, n: 1, o: 3, s: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**6\/345 + 7*m**5\/46 + 33*m**4\/23 + 88*m**3\/69 - 320*m**2\/23 + 1170*m. Determine o so that n(o) = 0.\nAnswer: -4, -2, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23\/31 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + x = 3*d + 4, d - 5*x + 20 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 8*g + 4. Let q be y(5). Let u be 7 - 0 - (-2)\/(-1). Suppose u*x - 48 = 2*x. What is the highest common factor of q and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + h - 1. Let p(g) = 2*g**3 + 3*g**2 - 11*g + 3. Let d = -3164 + 3162. Calculate d*p(q) - 6*s(q).\nAnswer: 2*q**3 + 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7968 - -0.9968. Which is the second biggest value? (a) 5 (b) 513 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*p - 218*p + 48 = -4*r, 0 = -5*p + 5*r - 60 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -765 + 220425?\nAnswer: 217440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23*46\/529)\/(22\/(33\/(-3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 1, h: 3, s: 9}. What is prob of sequence ks?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*y**3\/7 + 57*y**2\/7 + 180*y\/7 + 108\/7.\nAnswer: -3*(y - 6)*(y + 1)*(5*y + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -998*5\nAnswer: -4990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 200*a + 107. Let t(g) = 133*g + 71. Let r(s) = 5*b(s) - 8*t(s). Is r(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 87 = 6 - 147. Calculate the highest common factor of s and 3629.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75, 639, 2017, 4569, 8655, 14635, 22869, 33717?\n\"Answer: 60*k**3 + 47*k**2 + 3*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 39. Let w = -17 + t. Suppose n = w + 4. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/13 - 7\/26. Let m = -220.8 - -223.8. Which is the second biggest value? (a) 5 (b) f (c) m (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-21)\/(-30)*872\/(-4578)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*o + 2196 + 1313. What is the remainder when o is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 33*u + 22. Calculate s(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 612 + 601 = -4*s, -4*s = -2*v - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1479.337992387573 + -156673967.337992287573. Let o = -156672476 - b. Let h = -12 + o. What is h rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 4*p + 1. Give x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) + -1)*1 - (sqrt(175)*-1 + -5)) + 4 - (0 + -4 + -3*sqrt(175) + 2))**2.\nAnswer: 500*sqrt(7) + 4475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*k = -2*l - 3*l - 20, -2*l = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n + 1. Is 6 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -1)*(-148)\/(-222)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1129941 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5 = 4*g, -843*k + 40 = -847*k + 4*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 0.5, 0, 20, 13.\nAnswer: 0, 0.5, 13, 20, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -11*v**3\/6 + 45*v**2\/2 + 15*v. Let d be i(6). Let q = d + 47. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(288)\/(sqrt(12)*-2*-6))\/(6*(2*sqrt(432) + sqrt(12))).\nAnswer: sqrt(2)\/936 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 38*n - 3. Let r be w(1). Let i be ((-195)\/r + 5)*35\/10. What is the closest to 1\/4 in 1, 2\/13, i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 71\/((3612\/(-18))\/14)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*p**2 - 17*b**3*p - 22*b**3*r**3 + 2*b**2*p**2*r**3 - 2*b*p**2 - 686*b*r**3 wrt b?\nAnswer: 36*p**2 - 102*p - 132*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(25)\/sqrt(5)*-6 - (sqrt(5) + -2 + sqrt(500))).\nAnswer: -68*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*14 + 1 + -2. Which is smaller: p or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 35*c - 198. Let s be x(7). What is the greatest common factor of 552 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/63 in 5, -2, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33813524029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 49. Let b be (q\/(-10))\/(1\/10). Let y be (-5 - -2) + -2 + b - 0. Solve y*p - 1 - 24 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519253628 to the nearest integer?\nAnswer: 22787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 - 543*k - 1505. Give u(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i - 13. Let z be o(4). Let m(p) = -3*p + 18. Let a be m(z). Put 1, a, -1 in ascending order.\nAnswer: a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from dbymdydydyy.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 + r**2 - 4*r + 8. Let o = -1 + -3. Let z(c) = -3*c**3 + c + 1. Let b(m) = -5*m**3 + m + 2. Let n(y) = 2*b(y) - 3*z(y). What is o*n(k) + i(k)?\nAnswer: k**3 + k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -83472 divided by 1?\nAnswer: -83472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/9, -3.3, -5, 0.09?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1148\/49)\/((-6)\/(-21)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -201.9 and 7139?\nAnswer: -1441364.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - 981?\nAnswer: -961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 39 = 5*b. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2747 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 11. Let x(w) be the first derivative of -2*w - 2 + 4\/3*w**3 - 1\/3*w**t - w**2 - 2\/5*w**5 + w**4. Solve x(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7521 in 0.2, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 179 = 2*s, 4*t - 61 - 220 = -3*s. Let p = -125 + s. Let u = p - -89. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 17. Let j(o) = -o**2 + o. Let l be j(1). Suppose l = -3*k + 6 - 3. Is k less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1629)\/(-2172)*(-24)\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168402487 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -1049676*q**2 + 26241908*q - 200 = 0. Calculate q.\nAnswer: 2\/262419, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*m - 13718 = 158*m + 16598 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from cssiisssccscc?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from atauuuaaxuaaauxuaa.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -29, -64, -107, -152, -193?\n\"Answer: d**3 - 13*d**2 + 11*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2502 - -12467\/5. What is the common denominator of i and 17\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 9*l = -15. Put l, -3, 1, -7 in descending order.\nAnswer: l, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*k**3)*(-5*k + 4*k - k) - 2*k**4 - 2*k**4 + 2*k**4 - k**3 + k**4 + k**3 + 3*k**2 - k**2 + 0*k**4 + 3*k**4.\nAnswer: -2*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**24)\/s**(-12\/5))\/((s*s**(2\/7)*s)\/s)**(-33) assuming s is positive.\nAnswer: s**(764\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/20 and 90\/8*66\/(-75).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2133 - 1203. Let p(z) = z**3 + 8*z**2 + 6*z - 2. Let k be p(-7). Suppose -k*j + 930 = -3*l, -j = -0*l - 3*l - g. Round l to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 53 + i + 28*i + 72*i in the form g*i + y and give g.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1105.0545 + 0.0545. Let x = g - -1106. Let o = -7 + 33\/5. Put x, o, 0.5, -2 in descending order.\nAnswer: x, 0.5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/1088597 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -349.147 + 349. Let y = l + -0.353. Which is the fourth smallest value? (a) -5 (b) y (c) -10 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11823 and 127284.\nAnswer: 501626244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -90. Which is greater: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + 1*(sqrt(102) + (sqrt(102) - 1*sqrt(102))))\/(sqrt(600)*2))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73694.32nm to millimeters.\nAnswer: 0.07369432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**4 + 5*n**2 - 5*n**2 - 2*n**4 - 4 + 4 + 6*n - 6*n - 20*n**4 + 0*n**3 + 0*n**3 + 2*n**4 + (-n**4 + 3*n**4 - n**4)*(0 + 2 + 0) - n**4 + n**4 + 2*n**4.\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 7906645.\nAnswer: 7906644.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 + 15. Let a = -962\/5 + c. Let n = a + -27\/20. Which is bigger: -10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25184 and 3248?\nAnswer: 5112352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, -150, -662, -1680, -3378?\nAnswer: -5930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3855.777t?\nAnswer: 3855777000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4*o - 2\/3*o**4 + 2\/3*o**2 - 4*o**3.\nAnswer: -2*o*(o - 1)*(o + 1)*(o + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - z - 52 = 2*z, -z - 28 = -3*y. Let g(u) = -12*u**3 + 8*u**2 - 5*u + 8. Let i(j) = 8*j**3 - 5*j**2 + 3*j - 5. Determine y*i(d) + 5*g(d).\nAnswer: 4*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3 - 1. Let k = -2 - d. What is the third derivative of -z**6 + 3*z**6 + z**k - 3*z**6 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 15*d - 3*m - 32 = 0, 4*d + 3*m = 16. Let n be -5 + 3\/(6\/4). Let q = 4 - 5. Sort q, d, n.\nAnswer: n, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 52*q**2 - 1045*q + 77. Determine d(20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 + 2*k + 13. Determine j(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 + 4*t - 8. Is y(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a21 - 10?\nAnswer: 2a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**3\/2 - 303*b**2\/2 + 1134*b - 1674 = 0.\nAnswer: 2, 6, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109249926.\nAnswer: 2, 3, 3461, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = 2*n + 2*a, 4*a = -2*n - 10. Suppose -3*t + n = -1. Suppose t*l = -4791572 - 16008428. Round l to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 4*o. Let r be a(4). Suppose -2*k - 3*q = -169, -k + 80 = -r*k + 3*q. Suppose 0 = -5*m + 219 - k. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -46, -110, -200, -316, -458?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 0.1\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/50)\/((-2)\/(-10)). Let m = -928 - -933. What is the nearest to a in -3, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2. Let o(r) = -37*r**2 - 1. Determine o(x(a)).\nAnswer: -333*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5544 + 5672. Let b(h) = -h - 4. Let w be b(-4). Suppose -2*a - 3*a + 80 = w. Calculate the greatest common divisor of o and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812656*n + 406341*n + 406315*n - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:48 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 - a - 1. Let s be d(-1). Let x = s - -6. Suppose 5*r + 3*f - 60 = 5*f, 0 = -r - x*f. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.7, 13 in decreasing order.\nAnswer: 13, 0.7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4674)\/(-5453)*98\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166417924 divided by -3.\nAnswer: 166417924\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4077\nAnswer: 4\/4077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424614214 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72, -78, -82, -84?\n\"Answer: q**2 - 9*q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -12\/5, -3?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439, -6953, -21923, -51077, -99143, -170849, -270923?\nAnswer: -404093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-20)\/12)\/(1525\/75)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 50 = p. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 900, 1350, 1800, 2250?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 690034171 to the nearest integer?\nAnswer: 26269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9884662 is divided by 877?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1779034)\/406 - (-2)\/(-14). Let m = 4367 - p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 195*p - 19561. What is m(103)?\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.1 + 26.077. Let c = -185.077 + 187.1. Let a = q + c. Put 4, 1, a, -1\/3 in increasing order.\nAnswer: -1\/3, 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3681, 29838, 100829, 239070, 466977, 806966, 1281453?\nAnswer: 1912854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2+546\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, 25.8, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 9. Let u(x) = -2*x - 9. Let z(p) = 6*q(p) + 7*u(p). Let v be z(3). Solve 0 = -2*f + 1 - v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 take away -80302?\nAnswer: 80121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 2*h - 3*h + 28*h + 41 - 15 - 23 - 1 - 2*h + 1 - 6*h - 4*h + 5*h - 2*h + 2*h + h + (-2*h + 0*h + 0*h)*(4 + 0 - 3) - 2 - h + 2.\nAnswer: 17*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8\/5)\/c**(3\/7) assuming c is positive.\nAnswer: c**(-71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + -20*2\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*q - 269 - 186, -5*h + 555 = -q. Calculate the remainder when h is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 1.9. Let x be (-8)\/14*8\/8. Which is the closest to 0.1? (a) t (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 = -3*z, -5*o = 4*z - 115. Suppose 28 = -12*p + o*p. Solve -p*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.6. Let f = 0.18 + o. Which is the second smallest value? (a) 0.4 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133) + -1*sqrt(133)) + (sqrt(133)*-1*4 - sqrt(133)))\/(sqrt(7) + (sqrt(343) - (sqrt(343) - -4*sqrt(343))) + sqrt(343) - sqrt(21)\/(3*sqrt(3))).\nAnswer: 15*sqrt(19)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 1. Let s be n(0). Suppose 4*y + 5*m - s = 2, 0 = 3*y + 2*m - 4. What is the lowest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1829700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**3 - 55383*f - 55539*f + 110922*f.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15444, 30902, 46370, 61854, 77360, 92894, 108462?\nAnswer: 124070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/72*-44 - 45 - (-1)\/(2\/(-144)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/6)\/(-10*(-20)\/400)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25186, -50368, -75550, -100732, -125914, -151096?\nAnswer: -176278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/120 + x**5\/60 - x**4\/24 + 3*x**3 + 142*x**2. What is the smallest common multiple of u(0) and 26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14671 + 36*s**4 + 14671 + s**2 - s + 7*s - 2*s as p + t*s**2 + k*s + b*s**3 + h*s**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -40663, -14, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:43 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 3024*d**3 + 4*d**2 - 3024*d.\nAnswer: -4*d*(d - 756)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27377*s + 162 = -27421*s + 822 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/((-13)\/(910\/28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 - 699*a - 1386 = 0. What is a?\nAnswer: -231, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41041\/308*2988\/3237?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + 15*g - 27. Determine x(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = y + w, -y + 17 = -5*w. Let l(g) = -g + 2. Calculate l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20370 divided by -238.\nAnswer: 1455\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) -66\/5 (c) 1\/3 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*p**3*z**2 + 16*p**3 + 10*p**2*z**2 + 11*p*z wrt z?\nAnswer: 156*p**3 + 20*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7225 - -2.2775. What is the nearest to j in -0.1, 4, -10\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from hihlqhlihkqmh?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i = 80*i + 598 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 5. Let a be 4 + 2 + -4 + t. Let x = -10 + a. Calculate the greatest common divisor of 108 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331 + 350. Suppose -54*y - 134 = -55*y + 3*o, 2*o = 4*y - 556. What is the remainder when y is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, -0.125.\nAnswer: -0.125, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1660596 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 + 10648*a + 14172488 = 0.\nAnswer: -2662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 727 (c) 325.446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-3)\/1 + (8 - -12). What is the common denominator of (1 - (-37)\/(-38))\/(-21 + p) and 5\/3?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72757672144861 take away 3?\nAnswer: -72757672144864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 863, 1792, 2721, 3650, 4579, 5508?\n\"Answer: 929*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 49, 68, 93, 124?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.1 (b) -3 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 6*p**2 - 14*p + 17. Let x be q(-8). Sort x, -5, 10, 2, 22 in descending order.\nAnswer: 22, 10, 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4\/6 - 2945*k**3\/3 - 41435*k**2\/6 - 23740*k\/3 + 15800 = 0.\nAnswer: -4, 1, 1185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 + 132. Let y(g) be the third derivative of 4*g**2 + n*g + 0*g**4 + 0 + 0*g**3 + 1\/30*g**5. Let t(j) = -j**2. Determine t(y(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.1? (a) -0.12 (b) -464 (c) -0.2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(2448) + 0)**2.\nAnswer: -120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 + 134456*x**2 + 2*x - 134456 = 0. What is x?\nAnswer: -1, 1, 67228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 + (-4 - (10 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*3\/(24\/44). What is the highest common divisor of q and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 4176b?\nAnswer: 41765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, -0.0771.\nAnswer: -3, -1\/3, -0.0771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2. Let k(c) = -61001*c**2. Calculate k(x(t)).\nAnswer: -549009*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Find the third derivative of -10787*b*h**3 + b*h**2 + 54095071*b + 1998*h**3 wrt h.\nAnswer: -64722*b + 11988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + j = -2240164, 830*b - 825*b - 3733620 = -j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-114)\/(-8) + 9\/12. Calculate the highest common divisor of 195 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 a when three letters picked without replacement from {a: 9, j: 7}?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 10 = n + 11, w = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11157 - 11157 - 7*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 385\nAnswer: 1\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -26*u - 99. Is s(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.0715m in centimeters?\nAnswer: 7507.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51232110 (base 6) to base 4.\nAnswer: 11211332022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + 0.32. Let r = -83\/6 - -79\/6. Sort x, 5, r, -3.\nAnswer: -3, r, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 17*l + 76. Let t be q(-4). Solve -d + 14 = -2*a + 2*d, 0 = 4*a - d + t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**3*(b\/b**(-3\/2))\/b)\/((b**1*b*b*b)\/b**3) assuming b is positive.\nAnswer: b**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(80 + 17*q**3 - 80 - q**2).\nAnswer: -34*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = s - 3*a, -s + 5*a - 96 + 298 = 0. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*o + o. Let z be (-172)\/(-22) + o\/(-110). Let p = 9 - z. Solve -3*d - 12 = h - p, 0 = -4*d + h - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -15198981.\nAnswer: -1519898.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-196)\/(-10))\/(1\/(-5)). Let l be j\/(-539) + (-1844)\/(-22). Calculate the highest common divisor of 36 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(sqrt(1088) + sqrt(1088) + sqrt(1088) + (-2*sqrt(1088) + -3)**2).\nAnswer: 720*sqrt(17) + 26161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + y + 3 = 3*z, -2*y = 5*z + 6. Solve z*f = -3*g - 2*f + 5, 3*g - 25 = 2*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 143, 123, 103, 83, 63, 43?\n\"Answer: -20*o + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 63700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002282303 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-7)*l))\/(l*l**(-2\/5)))\/((l*l**5*l*l)\/l**(1\/5)) assuming l is positive.\nAnswer: l**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {k: 5, s: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 != 470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -78\/417229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpzpppzpppzppzppp. Give prob of sequence pp.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139470152.\nAnswer: 2, 3517, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -15*l**2\/2 - l - 6. What is the units digit of g(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053671789?\nAnswer: 1053671789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*12\/8)\/((-1)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + -1121?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 32*v. Suppose v = 5*j + 23*j - 4116. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448\/168*6\/16*19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 11. Let b = 20 - -4. Does 6 divide s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1582 = -n, 3*b + n + 0*n = 2378. Is 72 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398825, -797629, -1196431, -1595231, -1994029, -2392825, -2791619?\nAnswer: -3190411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:14 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.428507 + 81902092\nAnswer: 81902092.428507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-1 + (-186)\/(-27). Suppose 0 = -2*u - 4*q, -3*u - u = -5*q + 39. Let r = n + u. Which is the smallest value? (a) 1 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -263*w - 2. Let o(n) = -23*n - 1. Calculate -3*o(f) + y(f).\nAnswer: -194*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543950 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 1520. Let z = r - 974. What is the remainder when z is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 3*y - 4)*(9*y - 10*y - 12*y).\nAnswer: 13*y**2 + 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*w - 26, -2*w + 18*c - 13*c - 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 567 = -5*r. Suppose -1021 = -4*p + r. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 0.0269?\nAnswer: 0.000269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1711 and 1418419.\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*h - 997 + 989 = 0, -4 = -3*w - 4*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r - 1. Let b be d(1). Suppose -4*i - 2*s = -122, -2*s + b*s = 3*i - 108. Let k be ((-6)\/(-4))\/(12\/i). Solve -5*q + k*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1, 29, -14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*m - 1897 = -662, -3*m = -4*j + 989. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3476186 to the power of 1\/2, to the nearest integer?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 10*d. Let b(h) be the first derivative of 0*h + 1\/2*h**2 - 119 - 1\/3*h**3. Give 10*b(c) + z(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let k be a(-2). Let q be ((-3)\/(-2))\/(2\/(-4)). Let z = k + q. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 12.2.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 2\/2)\/((-4)\/((-28)\/(-3))). Solve -w*t - 36 = 5*k - 3*t, 0 = -2*k - 5*t - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-6) - (-46)\/4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*o + 2*d - 3 = 1037*o, -2*d + 25 = 3*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t + 28. Let k be j(6). Suppose 0 = 4*w + 3*v - 61, -2*w - 2*v = 2*w - 66. What is the highest common divisor of k and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*k**5*s**3 - k**4*s**3 - k*s**3 - 2*k - 11*s wrt k?\nAnswer: -660*k**3*s**3 - 12*k**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 9*v + 4. Let a be y(9). Suppose 5*k = a*l + 10, 0 = l + 3*l. What is the third derivative of -g**6 + 0*g**2 - 4*g**k + 3*g**2 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1772 + 102779\/58. Let f = i + -205\/2842. Let v = f - -218\/49. What is the common denominator of 8\/5 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 1612 = 12*w. What is the remainder when 245 is divided by w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 396.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from ssgfsssfssssgsgsssff.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -541*v**2. Let j(s) = -25*s. What is j(b(f))?\nAnswer: 13525*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 28*h**2 - 50*h + 54. Let d be n(-26). Suppose -3*j = -3*b - 48, 16*j = 15*j - d*b + 31. Is 26 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 31, 32, 33, 34?\n\"Answer: r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/76 + -65\/38. Which is bigger: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 254358609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -12*l**4\/7 + 5150*l**3\/7 + 674322*l**2\/7 + 19453170*l\/7 - 465850 = 0?\nAnswer: -55, 1\/6, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -972.1345 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2808\/(-144)*(-5 + 8)\/(18\/4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -8 - (21 + -11)) + 2 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10374\/(-195))\/19*(-15)\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452516122?\nAnswer: 2, 19, 23, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 4, k: 4, x: 6}. Give prob of picking 1 k and 1 x.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 5. Let q = 5.1 + -0.6. Let d = 0.5 - q. What is the closest to 0.1 in d, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -62) + (13 - 14) + 32?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 59*z + 2194. Calculate the remainder when 577 is divided by l(84).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -11.\nAnswer: -86\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 6*c + 2. Let x be n(-2). Put 0.2, x, 3 in decreasing order.\nAnswer: 3, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 6. Suppose -2*m - 2*f = -5*m + c, -4*f = -4*m + 12. Solve m = d - 2*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + 2*x**2 - 4*x - 4. Determine v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46614 rounded to the nearest one hundred?\nAnswer: 46600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8495 - -8493. Sort -5, 1\/2, -2\/11, -2.2, c in decreasing order.\nAnswer: 1\/2, -2\/11, c, -2.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 3. Let k be h(2). Suppose 3*r = 2*c - r - 18, 2*r = -5*c - 15. Let a be c\/2 + (-108)\/(-24). Solve 2*y - 3 + 1 = k*b, 3*b = a*y + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.8626 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -5, 121?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1900462 or 1900503?\nAnswer: 1900462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628221278.\nAnswer: 2, 314110639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 162 times -454\nAnswer: -73548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 16*j + 362. What are the prime factors of j?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x - 10*x + 118*x + 145*x + 5.\nAnswer: 273*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.3, 42670?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2123, -3092, -4497, -6164, -7919, -9588, -10997, -11972?\nAnswer: -12339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51 + 4327*t + 1371*t + 3067*t + 51 + (4 - 3 + 0)*(3*t + 0*t - 2*t).\nAnswer: 8766*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q*x**5 + 1650*q*x**4 + 6362*q*x**2 - x**2 wrt x.\nAnswer: -60*q*x**2 + 39600*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2260*h**3 - 22*h**2 - 27 wrt h.\nAnswer: -13560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -423 + 423.02. Let d = 61 - 79. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**2 - 2*j**2 + 0*j**2 - j**2 + 1. Let d be r(-1). Let k(z) = -z**3 - 9*z**2 + 9*z + 4. Calculate the least common multiple of 10 and k(d).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3952.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**5 - 45*r**3 + 5*r**2 + 7. Let j(v) = -4*v**5 - 91*v**3 + 9*v**2 + 14. Let d(s) = -6*j(s) + 11*w(s). What is the third derivative of d(f) wrt f?\nAnswer: 120*f**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k + 82. Let q(t) = 5*t + 98. Let m(y) = 6*h(y) - 5*q(y). Let v(f) = 1. Determine m(z) + 3*v(z).\nAnswer: 5*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**8\/1176 - k**7\/735 + k**6\/140 + k**5\/210 - k**4\/42 - 15*k**2. Let f(q) = 0. What is q?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12627316 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = 3*w + 37*q - 36*q, 0 = 5*w - 5*q - 1120. Calculate the least common multiple of w and 12.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000403698 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 183166.6 micrometers?\nAnswer: 0.1831666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 2*r + 1. Let p(g) = g**2 - 6*g + 1. Let x(l) = -l**2 - 7*l - 1. Let m(a) = -3*p(a) + x(a). Determine -2*m(q) - 11*y(q).\nAnswer: -3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001323925 rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - n**3 + 1 + (4*n - 6*n + 0*n)*(-4*n**2 + 2*n**2 + 0*n**2) + 2 - 2 + 3*n**3 + 4*n**3 + 5*n**3 + 45*n**2 - 43*n**2 + n**3 - 9*n + 9*n.\nAnswer: 16*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0.4, -4, 3, -2 in decreasing order.\nAnswer: 19, 3, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 17 - (7 - (-10 - -21)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57824.89cm in nanometers?\nAnswer: 578248900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**5 + 25*w - 25*w + 3*w**3)*(0 - 4 + 2).\nAnswer: 4*w**5 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-16)*o)\/(o*(o\/(o*o**21\/o*o))\/o))\/(o**12\/(o*o**(-4))) assuming o is positive.\nAnswer: o**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**7)\/(v\/v**(-22))*(v*v**9)\/(v*v**(-15)\/v))**(12\/7) assuming v is positive.\nAnswer: v**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 118274, 118266, 118258?\n\"Answer: -8*l + 118282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.98785 years to millennia.\nAnswer: 0.00798785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (52655*g + 22120*g + 30843*g + 60141*g + 3279*g)*(1 + 1 + 0) as f + o*g and give o.\nAnswer: 338076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -51 in descending order.\nAnswer: 1, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 10 = -5*z, 4*z + r - 6 = 7*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*2*sqrt(88))\/(sqrt(8) - sqrt(128)*-5) + (-2*sqrt(99) + sqrt(11))*4 + 1))**2.\nAnswer: -820*sqrt(11)\/21 + 1849541\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5900672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/7 (b) -1 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/2 (b) -1 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1797*r**3 + 12*r**2 + 8*r. Let y(a) = -10784*a**3 - 78*a**2 - 49*a. Give 13*w(s) + 2*y(s).\nAnswer: 1793*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 14*b**2 - 10*b - 2. What is the tens digit of g(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - 3\/(9\/(-21)). Suppose 16 = w*k + 2*h, -h + 21 = 3*k + h. Which is the nearest to -1? (a) k (b) -13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13.64. Let m = -0.359979 + w. What is m rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4193\/9 + -467. Find the common denominator of 49\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1659 divided by 10\nAnswer: 1659\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(4\/48). Suppose 0 = -v - 2*c - c + n, -4*v = -4*c - 8. Suppose 2*z + v*x - 33 - 25 = 0, x = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (995\/70 - 11) + 6\/(-28). Which is the closest to -1\/2? (a) -3\/10 (b) r (c) -0.6 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1349 - 1392) + (1 - -67)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 10*n - 28 = 0, u + 3*n = -2193 + 2184 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7ad + 22?\nAnswer: -a78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5, -0.8, 0.54?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 518226 and 9.\nAnswer: 1554678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28, 30, 32?\n\"Answer: 2*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58488, -58471, -58442, -58401, -58348, -58283, -58206?\n\"Answer: 6*z**2 - z - 58493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - 70\/8. Let t = c + 12. What is the highest common divisor of t and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3475, 14104, 31879, 56800?\nAnswer: 88867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 5*b - 5. Let a(x) = -x**3 + 2*x**2 + 4*x - 4. What is 5*a(t) - 4*o(t)?\nAnswer: -5*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 15*c**2 + 11*c - 28. Determine o(-13).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -20, 164*k = 161*k - 5*y + 52345. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, u: 3}. What is prob of picking 3 t and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-35) + 0 - 881\/5. Let f = r + 295. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 7) + (-1 - 3) + (-1 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l**3 + 6*l**3)*(3 + 0 - 16)*(l - l + 3*l).\nAnswer: -78*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1784*s + 5364*s - 1791*s - 1783*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -754, -6 in increasing order.\nAnswer: -754, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17285 is divided by 1179.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 1:39 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 4*g + 0*g)*(-g - 11*g + 17*g) - 338*g**2 - 2289*g + 2289*g as t*g + o + b*g**2 and give b.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*o + 5, -3*b = 2*o - 50. What is the remainder when 35 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (155 - 5 - 27)*(-4*b**4 + b**4 + b**4) as n*b**4 + g + x*b + u*b**3 + t*b**2 and give n.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133662 is divided by 1736.\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171421*m + 73460*m + 21127*m - 226257*m.\nAnswer: -303091*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 19 = 4*t, u - 4*t + 8*t - 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + -16 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2692081327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6468 - 3547. List the prime factors of n.\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -68, -265, -652, -1295, -2260, -3613, -5420?\nAnswer: -7747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let n(q) = 3994*q. Calculate n(m(h)).\nAnswer: -7988*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11.2. Let b = j - -0.01. Let q = -0.2100152 + b. What is q rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -538 + 534.47. Let q = t - -4.53. Which is the closest to -3? (a) -1.7 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -532 - -9050\/17. Let t = h - -5\/34. What is the nearest to -1 in t, 2, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15369387 and 16.\nAnswer: 15369403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 + 135. Let v be (-5 - -2) + 60\/(-3 - b). Put v, 0, -5 in decreasing order.\nAnswer: 0, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, -1280, 1, -5, 5 in descending order.\nAnswer: 5, 3, 1, -5, -22, -1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.003, 7, 5, -0.5, 20?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 3)*(2 + 1 - 1 - 2 + 1 + 2 - 2 + 3 + 1 + (1 + 3 - 5)*(-2 + 1 + 2) - 4 - 2 + 4)*(25*c - 55*c - 35*c).\nAnswer: 650*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(2\/3)))**(-46)*(c**(-1\/4)*c)**(-5\/11)*(c**(1\/6)\/c**(-1\/5))\/(c\/c**(2\/3))**(-16) assuming c is positive.\nAnswer: c**(-16703\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5268 = 9*o + 3*o. Let h = 443 + o. Is h at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4540.48 and -8?\nAnswer: -36323.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1137*m - 110*m + 266*m + 5892 - 5534 wrt m.\nAnswer: -981","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 4*k + 3*l + 20, 0 = -3*k + l + 15. Let x = k - 9. List the prime factors of (62\/x + 1)*-2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:40 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23648.88679 + -23649. Let k = -9.36021 - x. Let u = 9.2 + k. What is u rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t + 47 = 11 - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = 4*o, -2*j - 6*o = -3*o + 6. Suppose 5*y - 4*y - 11 = j. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*p + 12282*p**2 - 24590*p**2 + 12310*p**2.\nAnswer: 2*p**2 - 268*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 2504\/3?\nAnswer: 2504\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9. Let z(g) = -g**3 - 3*g**2 + 5*g + 3. Let d be z(k). Let a = 4 - d. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2835*z - 1033. Calculate a(0).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 35\/10618151?\nAnswer: 35\/10618151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 9\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 8 - 3 - 3*l + 0*l.\nAnswer: -3*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 252092340.99 and 3.\nAnswer: 252092343.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 6*g - 1. Let d(a) = -a**2 + a + 4. Let j be d(2). Suppose 0 = z + j*y, 0*z + 4*z = 4*y + 36. Calculate q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116 and 818?\nAnswer: -94888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.776234cm in micrometers?\nAnswer: 97762.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/306 and -44\/3?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 2, x: 5, d: 8, v: 2}. What is prob of picking 2 d and 1 p?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11906032*i**2*u**3 + 310849*i**2*u + i*u**2 - 3*u**2 wrt u?\nAnswer: 71436192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670347933 + 0.01?\nAnswer: 4670347933.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-66))\/((-10)\/135*1).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 56*l**2 + l - 1. Calculate v(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 31\/7*x**7 - 97 - 10\/3*x**3 + 0*x**6 + 0*x - 1\/4*x**4 + 1\/2*x**2 + 0*x**5. Find the third derivative of n(v) wrt v.\nAnswer: 3720*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**3\/3 - 24*u - 59. Let h(r) = -r**2. Give m(h(n)).\nAnswer: -n**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1330)\/(-152))\/((-10)\/16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -38?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -796 - -1317. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 4*n**2 + 2*n**4)*(-13 - 1 + 0).\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.519566 millilitres to litres.\nAnswer: 0.003519566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 59880.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(1 + 2*sqrt(700))**2 - (sqrt(700) + (1*1*sqrt(700) - sqrt(700)) + sqrt(700) + (sqrt(700) - (-1 + sqrt(700) + -1 + sqrt(700))))**2).\nAnswer: 600*sqrt(7) + 52500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 396*x - 809*x - 220*x to the form z + g*x and give g.\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1d?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 2 (c) -1\/9 (d) -2 (e) -117\/628\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -0.1 (c) 0.3 (d) -0.03 (e) 2 (f) -227\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4085 and 17195.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 197, 2, 1, 3, 4 in ascending order.\nAnswer: -4, 1, 2, 3, 4, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/5 + 25 + -30 - (7 - 4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*l*t*v**3 + 2*l*t*v + 3*t*v - 9*v**2 wrt v.\nAnswer: -162*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4955614 - 1244386. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 422, 3, 1, -4, -12, -5 in descending order.\nAnswer: 422, 3, 1, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.187265.\nAnswer: -2.187265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 + 8*k - 5. Let q be s(-5). Solve v = 2 - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -267.\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-30)*(-1 - (-93)\/(-6)). Let f be 1 - 27\/21 - z\/(-231). Put f, -50, 4, -0.1 in decreasing order.\nAnswer: 4, -0.1, f, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 + 9*c**2 + 3*c - 2. Let f be i(-4). Solve -2*t + 4*z + 0*z = 4, 5*t = -f*z + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 2. Let o be 2*(-8)\/(-6 - v). Suppose 2*s - 22 = -o*c, -2*s - c = c - 12. Which is smaller: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/2 of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05022 + -0.04978. Which is greater: m or 18\/79?\nAnswer: 18\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.111 * 30\nAnswer: 3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-756)\/28) + 2\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/20 - f**4\/6 - 4*f**3\/3 - 3*f**2\/2 - 1917*f - 2. Let p(i) = -5*i**3 - 11*i**2 - 39*i - 16. What is 22*m(z) - 4*p(z)?\nAnswer: -2*z**3 - 20*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13.07. Let l = 2.8 - 2.83. Let k = l + f. Which is the second biggest value? (a) -3 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - 7. What is k(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-12))\/((-5)\/15). Sort -5, a, 0.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Suppose -a*f = 4 - 9. Let l(b) = 2*b**2. Let u(h) = -h**2. Let k(y) = f*l(y) + 3*u(y). Let w(p) = -2*p**2. What is w(k(i))?\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 3, 0.4, -82?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 i, and 1 e when four letters picked without replacement from yiuqizeiiuuyyuzeuyuq.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + 43 + 10 - 14*z + 9*z - z**2 + z in the form u + s*z + j*z**2 and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -21*t**4\/4 + 29*t**3\/3 + 573*t**2. What is the first derivative of q(s) wrt s?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10172*z + 68. Let j(p) = -5*p + 13. Give n(j(u)).\nAnswer: -50860*u + 132304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 10*t + 93. Let h be s(-16). Do h and -78\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177 and -2?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3)\/(6\/3 + (-39)\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1900) - sqrt(1900)) + -4 - sqrt(1900) - (-2*sqrt(475) - sqrt(304)*4))**2 + -4.\nAnswer: -208*sqrt(19) + 12856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h + 98388 - 171972 = 232324. Is 68 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110100?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/9 (b) 46 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 241, 789, 1837, 3547?\n\"Answer: 27*v**3 + 7*v**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (9 + -1 + (7 - 14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((-13)\/(104\/(-15))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d - 25. Let f = d - -9. Solve -f + 1 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7283 greater than or equal to 1750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-273)\/(-14)*30\/9. Let p = b + -46. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-10391 + 10391 - 173*r)*(5*r - 4*r + 0*r) + (2 + 9*r - 2)*(-3*r - r + 3*r))*(1 - 10 - 3) in the form v*r**2 + t*r + l and give v.\nAnswer: 2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) - sqrt(77))*-3 - (sqrt(77)*1*-2 - sqrt(77) - sqrt(77)))\/(2*sqrt(7)*-2*-4).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 13. Let v be p(10). Is v greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c - 67*c - 20 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a day in minutes?\nAnswer: 20640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:44 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -277*k**2*m**3 - 32*k**2*m**2 - 4*k**2 - 2*k*m wrt m.\nAnswer: -1662*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 155, 203, 301, 473, 743, 1135?\n\"Answer: 4*l**3 + l**2 + 17*l + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1186 by 4.\nAnswer: -593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -123.5 from -244814897.4.\nAnswer: -244814773.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*b = -46*b + 99. Let h(w) = -4*w - 27. Let n be h(b). Solve -n*t - 8 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrtrrrrrtr. What is prob of sequence rt?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -2.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 17*u - 1780. Give r(77).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 23 - 12 - 426*q)*(-76 + 2*q + 34 + 41 + 7*q**2).\nAnswer: -2982*q**3 - 852*q**2 + 426*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 737 - 1053?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 34*t - 17 = -3*a + 37*t + 74, 178 = -4*a - 10*t for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 640, 829, 1018, 1207, 1396?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7003 is divided by 4\/10 + ((-959)\/(-685) - 1442\/(-10)).\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1112, -4215, -9284, -16301, -25248, -36107, -48860?\n\"Answer: 3*h**3 - 1001*h**2 - 121*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 60 + 12 = 0. Let a be 1057\/5 + (o\/(-10) - -3). Suppose 6*r - a = 3*h + r, -3*h = 2*r + 184. Round h to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - 4*q + 4. Let u be a(-5). Let n = -1 - u. Let v be (-9)\/(-12)*(-16)\/(-30). What is the closest to -2\/9 in 0.3, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/14*6\/(-7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 26*l + 66 = 0. What is the third derivative of -44*h**2 + 26*h**6 + 54*h**l - 125*h**6 wrt h?\nAnswer: -5400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, b: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 54\/5 of a meter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931) - sqrt(190)\/(sqrt(20)\/sqrt(2)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 - 2. Let t be 15\/(-10)*2\/24 - ((-3553)\/(-1064))\/11. What is the fourth smallest value in 4, -3, b, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 138 = u. Let b = 48 + u. Does 7 divide (24 + b)*34\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28*-0.5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.1 (c) -0.16 (d) 4 (e) -5 (f) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.73836 nanoseconds in minutes?\nAnswer: 0.000000002762306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-12) - 4\/(-6). Let o(d) = 86*d + 941. Let k be o(-11). Put i, -2, k in ascending order.\nAnswer: k, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + (-43 - -95) - -11.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -44*o + 4349. Give b(103).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1801 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - k**3 + 3*k**3 - 537.\nAnswer: -2*k**3 - 537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*z + 12, -3*p = -2*p - 5*z - 10. Suppose -9 = -0*u - 4*u - p*f, 5*u + 10 = -2*f. Let m = u - -23. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, j: 6}. Give prob of sequence jjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**21\/g)*g)\/(g*g**(-14)) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*m**4 + 1 + 4*m - 3*m + m**2 - 2*m**3 + 7*m**3 as t + v*m**4 + p*m + s*m**2 + w*m**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/7)\/l*l**(12\/7)*(l**2\/l)**(-19) assuming l is positive.\nAnswer: l**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 26864.\nAnswer: -21491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.3 and 104?\nAnswer: -1487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(32\/208))\/1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 14*t - 23. Let o be u(5). Solve 17*a + 58 = o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 + 7*b - 10. Give k(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 726*15.1\nAnswer: 10962.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**2 - 8. Let p(z) = 0*z + 5*z**2 + 2*z - 4*z**2 - 2*z. Calculate c(p(h)).\nAnswer: -8*h**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -3. Let i = 23 - c. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 23452*i**2 + 2*i + 23452 = 0.\nAnswer: -11726, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 326.993 rounded to zero dps?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.7 - -128. Which is the nearest to 1\/6? (a) 0.16 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 20*i + 30. Suppose -i*b + 465 = -3335. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/8*20*(-2242)\/1475?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -9*u + 4 - 4\/3*u**3 + 0*u**2. Let n(m) be the first derivative of z(m). Let v(k) = k. Calculate v(n(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -99 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.1 + -15. Let u = 0.076 - -2.924. Let q = h - u. Sort q, -11, 4 in ascending order.\nAnswer: -11, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -12*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17731\/9678 - 2\/1613. Let j = d + 7\/6. Let f = -0.505 + 1.805. What is the second biggest value in 4, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + sqrt(1008) + -1.\nAnswer: -9 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/4, 50\/9 in increasing order.\nAnswer: -4, 1\/4, 50\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10834169 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.3965 to the nearest integer.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:39 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58956*s**2 - 12*s - 2151 wrt s?\nAnswer: -117912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 601*b**3 + 592*b**3 + 3.\nAnswer: 1193*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 263118783 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 307*m - 17710.\nAnswer: -(m + 77)*(m + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/180 - n**5\/30 + 13*n**4\/24 + 6*n**2. Let t(a) be the second derivative of q(a). List the prime factors of t(-12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996646497 and 1302.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 86242.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.301 - 8066176?\nAnswer: -8066176.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 + 0*p**2 + 2*p**2 - 3*p**2. Let v(s) = -2*s**2. Determine v(z(m)).\nAnswer: -72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179 or -1966\/11?\nAnswer: -1966\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4257831 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 (base 8) in base 7?\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/47? (a) 12 (b) -0.001 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68905474.\nAnswer: 2, 11, 263, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4208840894?\nAnswer: 2, 743, 2832329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.560397 micrograms?\nAnswer: 0.000000000007560397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 214844.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17924839*l**5 + 14*l - 169606?\nAnswer: -358496780*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 56?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -46. Solve i*o = 2*o - j - 2, 2*o + 12 = -4*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -52 + 35 + 22?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -0.4 (c) -9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 7:09 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-346)\/(-10) + 4\/10. Let -47 + r*d**2 + 47 - 15*d = 0. Calculate d.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 1332*p**2 - 147852*p.\nAnswer: -3*p*(p + 222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 3 (c) 21\/163 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-3))\/((-74)\/666))\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 2*n**2 + 5*n - 3. What is z(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -905*k + 2319*k + 108*k + 9967*k to the form s + r*k and give r.\nAnswer: 11489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.124 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -1\/3 (b) 0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24831.5 - 24832. Let v = -0.2 - -0.4. Which is the fourth biggest value? (a) v (b) -5 (c) h (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhxx when four letters picked without replacement from bxxh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201211101010 - 21202?\nAnswer: 12201211002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l**2 + 20\/3 - 5\/3*l**4 + 55\/3*l + 5\/3*l**3 = 0 for l.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*n**2 + 2*n**2 - 3 + 2 to y + o*n**2 + b*n and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.2. Let d = 0.91 + -1.01. Which is the closest to -2? (a) 0.2 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -930 - -529. Let h = b - -401.00835. Round h to four decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -1 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f - 2. Let t(b) = 4*b + 1. Suppose p = -p + 14. Let i(c) = p*t(c) + 6*u(c). Differentiate i(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-24)*(-3)\/30. Which is the third smallest value? (a) 2\/5 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -16, 43, 156, 341, 616, 999?\n\"Answer: 3*f**3 + 2*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (135\/(-18) - -8) + 9\/2. Suppose 0*n + 1170 = 5*n - u*a, n - 5*a = 218. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -445.75 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 294*i**2 - 149*i**2 + 29 + i**3 - 124*i**2 - 38*i. What is the units digit of b(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/((-4)\/16 - (-34)\/40). What is the highest common divisor of 85 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3 - 5. Let j(c) = 0 + 0*c - 2 + 3*c. Determine j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 4*a + 9. Let i be y(-5). Let h = -17 - -25. Let j = 10 - h. Solve -i*w + 18 + j = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 39 = -45*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1932473 and 5365.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -5, 17, 61, 133, 239, 385?\n\"Answer: g**3 + 2*g**2 - 7*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 - 576. Let t = 580 + v. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1024*m**3\/3 + 111392*m**2 + 35902419*m\/4 - 110397049\/6.\nAnswer: (m - 2)*(64*m + 10507)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*x**2 + 22 + 181*x**2 - 40 + 325*x**2 + 19.\nAnswer: 409*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {p: 3, m: 1, n: 1, w: 5, b: 1, i: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -13*m + 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*l - 183, -l = 3*d - 6*d + 123. Let o = d - 30. Let i = 9 + o. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 711?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -719, -841, -1179, -1841, -2935, -4569?\nAnswer: -6851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/43? (a) -2\/13 (b) -3 (c) -0.037 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4542*h + 5*x + 55 = -4542*h, 3*h + 47 = -4*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 82132647.\nAnswer: -82132647.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -328, -459, -606, -775, -972, -1203?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 5 (c) -3036 (d) -0.2 (e) -5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/120 - h**4\/36 - 7*h**3\/36 - h**2\/3 - 36*h. Determine l so that w(l) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225328 rounded to the nearest one thousand?\nAnswer: 225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-487971)\/(-21) + (-266)\/(-931)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2197 by -255.\nAnswer: -2197\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57370430 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 378*q + 66. Let c(a) = 23*a + 4. Let r(t) = 66*c(t) - 4*m(t). Let p(j) = -9*j - 5*j - 11*j. Calculate -2*p(f) - 9*r(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x**4 - 70*x**2 + 70*x**2)*(-x - 3*x + 5*x) + (x**3 - x**3 + 2*x**3)*(2*x**2 + 2*x**2 - 2*x**2).\nAnswer: -15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:27 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 18*z + 13. Let a be j(8). Let r(x) = 22*x**3 - 5*x**2 - 10*x + 6. Let c be r(a). What is c rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3520 and -113\/792.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 8. Let m = 3.02 - 0.02. Which is bigger: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p = 53*p - 32599 - 50121. What is the least common multiple of p and 1760?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-56))\/(-8)*147\/(-126)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(2\/5))*x*x)**(-1))**(-34))**24 assuming x is positive.\nAnswer: x**(6528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2)**(-10)*(k*k**(1\/4))**38 assuming k is positive.\nAnswer: k**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z - z - 407 + 2*z**3 + 327 + 0*z + 80.\nAnswer: 2*z**3 + 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 443.1322 - 358.147. Let r = -85 + s. Round r to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/6 + -1)\/(19\/(-29057631)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -567\/10 or -57?\nAnswer: -567\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417876 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:39 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 2*o + 3. Let f = -12 + 26. Let v = 26 - f. Calculate the remainder when v is divided by t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-100))\/((-7)\/(70\/12)). Let b = -1 + 5. Let l = 3.8 - b. What is the second biggest value in d, 0.2, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**5\/10 - 42*x**4 - 83*x**3 + 502*x**2 - x - 3281. Factor c(v).\nAnswer: -2*(v - 1)*(v + 2)*(v + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056.03505 - -66.09?\nAnswer: 2122.12505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 107*l**3 - 105*l**3 + 6 + 0 + 5*l. Let s = 9 - 4. Let p(g) = -g - 1. Determine s*p(u) + k(u).\nAnswer: 2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -211096 and -687955040.\nAnswer: -688166136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063335 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/6*(-9)\/2. Let q be (-60)\/(-9)*45\/80*-34*-4. Calculate the highest common factor of v and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 + -21*1\/7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let q(o) = -80*o + 1. Calculate q(t(n)).\nAnswer: 160*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:35 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 165*k + 3757. Give t(-31).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -14. Suppose 28893 = 5*n - 2*w, n + 5*w - 1643 - 4141 = t. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 23*z + 63. Let w be i(20). Suppose 3003998 = 4*j + n, -3*j + 5*j + w*n = 1501994. What is j rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1836\/340)\/(84\/(-252)*18\/20).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 10, 14, 0, 4, 3 in increasing order.\nAnswer: 0, 3, 4, 10, 14, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 8*x - 158 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.92 - -0.92. Let m = 6205243 - 6205208.99939. Let x = m + g. Round x to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/3)\/(-1) + 63\/7. Suppose -j*y = -152736 - 31264. Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19251\/837)\/(4071\/6).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.325 - 20.22. Which is smaller: p or 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1277*r**2 + 5*r - 17. Let t be h(8). Suppose 6*j + 49649 = -t. What is j rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/2 + 25830*f**2 + 666413325*f\/2 - 10019460375 = 0. Calculate f.\nAnswer: -25845, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 + -221?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -18*a + 129. Let x(t) = t - 4. Determine -i(y) - 15*x(y).\nAnswer: 3*y - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*o, 34*o + 34*o - 64 = 2*x + 60*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-50)\/15)\/5*30\/4. What is the remainder when ((-385)\/25 - v)\/(4\/(-30)) is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4136602 and -8.\nAnswer: -4136610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -5. Suppose s*y = -y + 8. Suppose -r + 4*g + 3 = 0, 3*r - 3*g - 6 = r. Solve y*q + 26 = 5*j, -7 = 4*j - r*q - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d**2 - 5*d + 5. Let v(h) = 81*h**2 - 18*h + 18. Calculate 18*o(n) - 5*v(n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -377.47 times 37.2\nAnswer: -14041.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9565347 is divided by 123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdw when three letters picked without replacement from dwww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-25))\/((-14)\/10). Let w = -5 - -3. Let j be (w\/7)\/(3\/(-7)). Which is the closest to -1? (a) j (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246386515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 201*l**2 - 43 - l**2 + 6*l**2 + 0*l**2 + (l - 2*l - l)*(31 - 31 + 8*l) in the form g*l + f + p*l**2 and give p.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*j**3*m**2 - 2851*j**3 - 7*j**2*m + 5*j*m**2 - j*m - 2*j - 2*m**2 - 14479 wrt j.\nAnswer: 198*j*m**2 - 17106*j - 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24111696*d + 25767999 wrt d.\nAnswer: -24111696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/7 - h**3 + 6*h**2\/7 + 4*h - 40\/7.\nAnswer: (h - 5)*(h - 2)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/4)*p**(3\/11) assuming p is positive.\nAnswer: p**(-43\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o + 4. Let d be (-255)\/10*o\/(-3). Let a(f) = f + 21. Let z be a(d). Solve z = -3*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 52*n**2. Let s(y) be the second derivative of -y**7\/1260 - y**4\/12 + 5*y**3\/6 + 57*y. Let t(b) be the third derivative of s(b). What is v(t(i))?\nAnswer: 208*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v - 5*v + 9*v.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 69. Suppose 0*j = -4*j + f. Suppose -2 = -j*a - 12. Let y(w) = -w**3 - 4*w**2 - w + 2. What is y(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y + 457. List the prime factors of a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588448 divided by -142.\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o + 2*o + 6*o + (5*o + 13 - 13)*(-15 + 32 + 9) in the form h*o + w and give h.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**3 + 3*x + 16*x**3 - 8*x**3 + (3*x + 0*x - 2*x)*(-x + x**2 + x) + (-5*x + x + 6*x)*(-4 + 4 + x**2).\nAnswer: 4*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 410\/3 (b) 51 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-385)\/(-275) + 1\/10 + (-19)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 231 + o - o**3 - o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*k - 52. What is the third biggest value in 1, -21, k, 2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4962*v - 4903*v + 3481 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 1096 = -2*i - 1054, 4*i - 2*d - 28 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 - 2 + 4 - 4 + 393*s - 2382*s**3 + 2380*s**3 to the form j*s**4 + l*s**2 + r*s**3 + f*s + w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3932*o - 135. Is w(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccotlgcllllscgl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -976, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p + 5*y + 7566, 0 = -2*p - 3*y + 5082. What are the prime factors of p?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -2) + -16 + 54 + -32.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 7*g**6\/10 - 5*g**3\/2 - 4*g. Find the second derivative of t(d) wrt d.\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -4 (c) -5 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30208 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - h + 3*h + (0*h - 4*h + 2*h)*(-4 + 1 + 4) + 2*h - 4*h + h + 50582 - 25276 + 99*h - 25270 to the form m*h + j and give m.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.42 * 0.01\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -404 + -150. Let v = d + 2077. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52500*c**4 + 100900*c**3 + 9560*c**2 - 2704*c - 32 = 0. What is c?\nAnswer: -1\/5, -2\/175, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1831620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 3. Let b = p - -2. Is 7 a factor of b\/(-5) + 117\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1146, 2271, 3396?\nAnswer: 4521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -54. Let g be 1151\/6*2 - o\/(-6). Suppose -2*j = 5*y - g, -3*j + 4*y + 151 = -366. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93058144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 113540 divided by -515?\nAnswer: -22708\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/26 and 27\/1172.\nAnswer: 15236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 2 = 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13663 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15091\/8313 - -4\/489. Calculate the common denominator of ((-11)\/(-2))\/((-2)\/(-18)) and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/4 - u**4\/6 - u**3\/3 + u**2 + 4*u. Let n be g(-3). Let a = n + -16. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -3 - -11)*46\/110 - 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 6*u. Sort u, -1, -5.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17232 take away 141076?\nAnswer: -123844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18573.649 and -0.3.\nAnswer: -5572.0947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Let z = 1 - l. Let u(q) = -q**2 + 9*q - 7. Let d be u(8). Which is greater: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -47, -136, -273, -458, -691?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*o - 171*o = 5*g + 61, -26*g + 77 = -o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 294061?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(243) + 0 + sqrt(243) + -3*1*sqrt(243) + sqrt(243) + -4)*1)**2*-2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421819669.\nAnswer: 83, 109, 179, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 9. Suppose -4*d + 0*j + 23 = 5*j, -5*d + j + 7 = 0. Suppose -4*b + 16 = -d*x, -2*x - 4*b = -3*x - 18. Suppose o + 5 = -x. Determine g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(54)\/sqrt(3))**2 + 0 + (sqrt(44)\/sqrt(2)*2)\/(sqrt(44)*4).\nAnswer: -108 + sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 82*c**2 + 22*c + 10. Calculate s(3).\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -34 + 2 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-2)\/(-8))\/(((-68)\/17)\/((-416)\/(-80)))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 0, -0.7 in descending order.\nAnswer: 0, -0.7, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhfhyyhyyfhhh. What is prob of picking 3 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) - (sqrt(2268)*-3 - sqrt(2268)))\/sqrt(9).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 46*v + 5073. Determine u(-119).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**5 - 2*d**4 - d**3 - 1. Let s(q) = -85*q**5 + 4*q**4 + 2*q**3 - 118*q**2 + 2. Let h(c) = 2*p(c) + s(c). What is the third derivative of h(g) wrt g?\nAnswer: -4980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 - (-2)\/(-168)*134699. Let p = -11233\/7 - v. Let h = 5\/28 - p. Which is the nearest to 0? (a) 2\/3 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196753539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12 + 2 - 14*q + 411*q**2 + 15*q.\nAnswer: 411*q**2 + q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q + 3*c - 12, -q + 2*c = 8. Suppose k + 3*k - 16 = q. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/20 - m**4\/12 - m**3\/6 + 2*m**2 - 2*m. Let d be n(0). Solve d*w + 26 = -3*s, s - 2*w - 8 = -0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1522 and 109533013?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 80*t - 81. Determine f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 10) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + (-25878)\/171 + 97.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*l + 104, 6 = -2*l + 5*l. Let n = 238 - s. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 22 = 2*g - 6*g, 6 = 2*d + 3*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -77*i + 6. Let g(h) = -316*h + 26. Let n(w) = -2*g(w) + 9*t(w). Let k(z) = z. Give n(k(r)).\nAnswer: -61*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 191*t - 4. Let h be u(1). Let r = h - 1533\/8. What is the common denominator of ((-198)\/(-322))\/(4\/14) and r?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 10067376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*k**2 + 3*k - 4 + 5 + 7*k.\nAnswer: -211*k**2 + 10*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -87.2\nAnswer: -244.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 12614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-34)))\/((n**(-2\/15)*n)\/n*n) assuming n is positive.\nAnswer: n**(-523\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -745223 by 1.\nAnswer: -745223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8 = -7, -1 = -4*m + 3*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2 - 3*u + u - 5. Let c = 108 - 111. Give o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 424*s**4 + 143*s**2 - 6*s - 4. Let h(k) = -k**4 - k**2 - k - 1. Let z(g) = 4*h(g) - w(g). What is the third derivative of z(d) wrt d?\nAnswer: -10272*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a microgram in nanograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 + 175. Let b(s) = -4*s - 2. What is b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17854250.\nAnswer: 2, 5, 17, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -9, 10, 47, 108, 199, 326?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.76 - 0.74. Let a = 6.5000122 + i. What is a rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -391009762 >= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -139814, -277537, -415260?\n\"Answer: -137723*o - 2091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-20) - (-22)\/5. Suppose -2*f + 4*v = -0*v - 48, -y*f = -4*v - 108. What is the greatest common divisor of f and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {a: 8, i: 1, q: 3, h: 5, t: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 201*r + 4 - 3 + 1.\nAnswer: -201*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 987, -5, 1\/98?\nAnswer: 987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*z - 140 = 4*z, -5*z + 5 = 0. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -294 - -290. What is the second smallest value in 4, a, -5, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 41*z**2 + 14*z - 143. Let j be u(-21). Which is the nearest to 0? (a) j (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 70*l**5 - 1672*l**4 - 8390*l**3 + 9056*l**2 + 2056*l - 1120 = 0?\nAnswer: -5, -2\/5, 2\/7, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 0, -4, -106.\nAnswer: -106, -4, 0, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7590*d*s**3 + 3*d - 1491 wrt s.\nAnswer: 22770*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 78, -0.48, 1\/3, 6, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6 (b) -0.3 (c) 308 (d) -1\/3 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46860 and 2485.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 + -198.997536. Round a to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -18.7. Let m = o + -2. Let k = m - 15. Which is the nearest to k? (a) -2 (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 3*k - 3. Let n(r) = 3*r + 1. Let v be n(1). Let z(j) = 3 - 3 + 2*j**2 - 4 + 4*j - 9*j**2. Determine v*o(i) - 3*z(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*s**2 + 336799*s - 80259398?\nAnswer: 16*s + 336799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b01b82 (base 13) to base 2.\nAnswer: 100010000000100011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 733407.5 - 990\nAnswer: 732417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 83.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 567 divided by 3\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 3\/7, 4.3272, -60?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40 - -1 - (-2)\/(-1). Suppose 0 = -2*u - u + c. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*d + 99 + 96 = 0, -4*c - 260 = -d. Does 22 divide (c\/(-52))\/((-2)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 7. Suppose c*a - 1 - 7 = 0. Let y(u) = u**2 - 2*u - 4. What is the units digit of y(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 397264 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679565807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 4. Suppose 4*y - 7 = 5. What is m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*a - 44, j + j = -4*a - 82. Let y be (a\/8)\/((-15)\/40). Suppose y*u - u = -4*n + 2, 0 = 5*n - 3*u - 21. Solve 0 = -2*x - n*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, m: 1, g: 2, x: 1, v: 3, l: 3}. Give prob of picking 1 l and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 387431 to the power of 1\/2, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14533 is divided by 169.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)\/(i\/((i*i**(1\/3)\/i*i)\/i*i)))\/(i**0*i*i)**(37\/4)*((i**(-1\/4)*i)\/((i*i**5)\/i))**40 assuming i is positive.\nAnswer: i**(-7909\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/220)\/(6\/(-110))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(75) + sqrt(75)*3 + 2)**2*-4*1.\nAnswer: -4804 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(153\/612). Which is the second biggest value? (a) j (b) -20 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155513, -162801, -170089, -177377?\nAnswer: -184665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/52 and -31\/8008?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*2)**2 + 5)*-2 + 1*(sqrt(1216) - ((sqrt(1216) + 1*sqrt(1216)*-2 - sqrt(1216)) + sqrt(1216)))**2.\nAnswer: -4874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 42*q**3 - 750377286*q + 750377286*q.\nAnswer: 42*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 3\/7, -6, 2705?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37969, 40903, 43837, 46771, 49705, 52639?\nAnswer: 55573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 26?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3044133030 (base 5) to base 3\nAnswer: 102202000100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - (3 + (-4 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + -503003355?\nAnswer: -503003424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2697*d + 3674*d + 7545*d - 3963*d = -1244125 for d.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:54 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.5 + 11.1. What is the nearest to -1 in -1, -0.11, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 + 5. Let c be 6\/(-45) + (-552)\/(-90) + 1. Suppose c*d - 8 = 6. What is the second biggest value in d, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.238, 0, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 4*x - x**5 + (-x - 2*x + 5*x)*(-x**4 - 3*x**4 + x**4) + x**5 + x - x + 3*x**5 + 0*x**5 + 0*x**5.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let x(y) = -5*y + 1. Give -9*j(c) - 2*x(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -851*j + 8792 + 5675 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmmdmldvmmmll. What is prob of sequence ld?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-614)\/(-7061) - (-242)\/(-276)*2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 990896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 121101022 (base 4) to base 8\nAnswer: 312112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**8\/168 - b**4\/8 - 3*b**2. What is the second derivative of p(y) wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.8, 3\/2, -5, -1, 0.4.\nAnswer: -5.8, -5, -1, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**6\/6 + 2*u**5\/5 - u**4\/4 + 728. Determine t, given that w(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869646809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.38 - 18.38. What is the nearest to 0.03 in 3, 0.4, 1\/2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.8212 millilitres in litres?\nAnswer: 0.0278212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -267379 (base 14) in base 5?\nAnswer: -314413142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1400 and -131\/39133500?\nAnswer: 78267000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 3 + 9)*(2 + 2*p**2 - 67 + 6).\nAnswer: -18*p**2 + 531","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.89 - 1.44. Let t = s - -0.55. What is the second biggest value in -0.05, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {p: 1, h: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 0, 22, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 times 17.785?\nAnswer: 2970.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 11, -1.57, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 22*l - 4 = 0. What is the nearest to l in -2\/3, 4, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/11)\/g**(-5))\/((g\/(g\/g**(-1\/4)))\/(g\/g**7)) assuming g is positive.\nAnswer: g**(-41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -6369\/10 = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vksmmsvyykkp. What is prob of sequence ykv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5.1*-0.04\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300 - 581. Which is greater: d or -282?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Let w = t + -1.5. What is the second smallest value in 3, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 68. Let w be 102\/t*(-60)\/(-9). What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3528 and 253259048.\nAnswer: 2279331432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 23 - 8*k**2 + 12.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5922 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -151 in 0.14, -5, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -3.7. Let j = p - -8. Let b = 5.4 - j. What is the third smallest value in 4, -0.4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (-43 - (-63 + 50))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/4*1 - 0. Solve 0 = 5*y + 5*d - i, -23 = -3*y + 3*d - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*o + 489*o - 625 = 285*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26641 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*q - 4*z, -q + 4*z - 136 = -5*q. Suppose 3*l - q = -5. Solve 0 = -u + 4 - l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1049799813.4752482 - -940747061.475244. Let l = k - -109052732. Let y = l + 20. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 + 5*i**4\/2 + 16*i**3\/3 - 27*i**2\/2 - 6*i - 4. Let b be t(31). Solve 3*g - b*g - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49410545*-7.\nAnswer: 345873815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 17. Let s be x(6). Which is the nearest to 0? (a) s (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 + 3*d - 8. Calculate the least common multiple of 6 and q(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 6. Let h be j(-5). Is h not equal to 13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.035795*-8\nAnswer: -0.28636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -1. Let n(u) = -9*u**2 - 7*u - 1. Let t(d) = d**2 + d - 1. Let h(g) = -n(g) - 2*t(g). Is h(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 3*h - 1 = 0, -5*z = -5*h + 39 - 59 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-207)\/(-6))\/((-9)\/18). Let f = b - -97. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 2301?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:45 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s**2 - s - 230. Calculate t(-9).\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**2 - 5. Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/39*9\/75*(2 - -1)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 277 - 215. Let l = b - 58. Solve -9*v = -5*v + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 1 - 13. Suppose -17 = -c*j + 5*l, 7 = 4*j + 4*l - 5. Suppose 0*o - j*o + 508 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22*i**2 + 5*i - 5. Let u be g(1). Suppose -u + 2 = 5*v, -3*m = -3*v - 8289. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44 + 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24220 * 3.\nAnswer: 72660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**2 + 13*i**2 - 3 + 3 - 2*i**3 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958*10\/20 - -5 is divided by 325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*y = 249, -2*v + 129 + 37 = 2*y. Let u = v - 671\/8. Find the common denominator of u and (34\/10)\/((-2)\/3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2. Let y = 10 - -9. Suppose -q + 2 = -k, 4*k = -2*q - 3*q + y. Let c(i) = 16*i + q*i**2 - 16*i - 9*i**2. Determine p(c(n)).\nAnswer: -180*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) - 11483\/(-3). Suppose 4*m + 4*w - c = 0, -m + 2*w + 949 = -w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 396677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 60223.11 decades?\nAnswer: 602231.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 191517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9307965 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -355813*p**2 - 13. Let s(q) = -q. What is s(o(g))?\nAnswer: 355813*g**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -426420, -426421, -426422, -426423, -426424?\n\"Answer: -x - 426419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**16*x*x*x**(-2\/45) assuming x is positive.\nAnswer: x**(853\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-2)\/(-8)*2). Let z = 1 + f. Let m(i) = i + 70 - 5*i - i - 40 - 29 + 4*i. Let n(s) = 3*s - 4. What is z*m(h) + n(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -355 + 126. Let m = j + 2287\/10. Let f = -85921\/12830 + -4\/1283. What is the common denominator of m and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 4*b = -90. Let k(p) = 469*p - 46. Is k(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/10)\/((-2)\/(-5)). Suppose i + 4*j = -0*j + 66, 3*i - b*j = 118. Suppose o = -o + i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 - (-1 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 14*v + 2640. Let r = v - 168. Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7570583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 70*s + 4971. Is 12 a factor of k(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12912 = -4*f. Calculate the common denominator of 7\/22 and f\/96 + (-2)\/3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10))**29 assuming y is positive.\nAnswer: y**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*h + 4*j + 9, -4*j - 5 = -h. Suppose -10*z + 8*z = -212. Let x = 103 - z. What is the second biggest value in x, 0.05, h?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2*54\/45 and -23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171229 - -473835. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 7, h: 1, r: 2, p: 4, q: 2}. Give prob of sequence jhj.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50933, 50898, 50863, 50828, 50793, 50758?\nAnswer: 50723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 2\/11 (b) 4 (c) 0.22 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*2 - (80 - 2\/6*-33).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 + (-7)\/14*0. Solve -3 = -3*q + q + y, -5*y = -4*q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.3, 0.02, 45, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10907 + 10907.022. What is the biggest value in -2, 5, h, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p + 78 = -33*p + 48*h - 58, 46 = -5*p - 2*h for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-209)\/5)\/(40\/100). Let i = 103 + k. Which is the closest to 0.2? (a) 3 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - -2) + 2 - (261 + -268)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -17*k**3 + 1376*k**2 + 83*k - 164. Calculate c(81).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**7\/210 - 17*w**6\/40 - w**5\/6 - 382*w**4\/3 - 13*w**2 - 100*w. Find the second derivative of o(z) wrt z.\nAnswer: 12*z**2 - 306*z - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -52. Put a, 1, -5, -2 in descending order.\nAnswer: 1, -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -998, -1895, -2698, -3407, -4022, -4543, -4970?\nAnswer: -5303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3316.8 - 3317. Let z = -18 - -20. Which is the nearest to z? (a) -0.3 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = 5*r + 71. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 84, 11, -5, 2\/21 in descending order.\nAnswer: 84, 11, 2\/21, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2*u + 0)*(-2 - 2 + 5) - 3*u + 0*u + 2*u)*(5*u - 3*u - u) to the form s*u + t*u**2 + f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + -4.9825164.\nAnswer: 3.0174836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4 (c) -392 (d) -5 (e) 0.3 (f) 1393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -87315.192422 and -5387?\nAnswer: 81928.192422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 - 2. Let g = l + -0.4. Is -0.1 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.21 and 0.0043.\nAnswer: 3.2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18, 8, 4, -2, 22, -4 in descending order.\nAnswer: 22, 8, 4, 1, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = 3. Is 158*b\/2 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 0.1. Let f = 0.43 + -0.03. Let o = m - f. Which is greater: o or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778 at most 6776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 - ((-150606)\/15)\/2. Let x = 8420 - u. What is x rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3167694\nAnswer: -2\/1583847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1017.95 + -1315.288. Let h = -297 - v. Round h to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + o - o - 3*o)*(1 - 3 - 4) + 5654 - 5654 - 265*o.\nAnswer: -247*o + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p - 20, 2*u - 22 = 4*p. Suppose -2*c + 2 = -5*v, v + c = -u*v + 1. Suppose v*b - b = 0. Solve 4*q - 2 - 2 = b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394710 + 2559530 = 32*l. What is l rounded to the nearest 1000?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**4 + 4*b**4 - 5*b**4)*(2 - 2 - b) + (-b**2 - 2*b**2 - 5*b**2)*(-3*b**2 + 2*b**2 + 3*b**2)*(5*b - b + 0*b).\nAnswer: -68*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3 - 180*a**2 + 168*a + 352 = 0.\nAnswer: -1, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2007 - -4268. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b + 5*p, -3*b + p = -0*p + 8. Is b\/(880\/(-2631) - 2\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1\/4*q**3 + 95\/4*q**2 + 0 - 24*q = 0?\nAnswer: -96, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 126*n**3 - 28. Let j(x) = -23*x**3 + 5. Calculate -28*j(a) - 5*v(a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**2 + 47. Let j(h) = -2*h**2. Calculate j(c(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {d: 3, n: 6, i: 3, f: 3, l: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p + 10. Let q(x) = -49*x + 31. Let i(s) = s**2 - 10*s - 22. Let o be i(12). Let t(m) = o*q(m) - 7*g(m). Differentiate t(d) with respect to d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + s**3 - 8 - 21*s**2 + 20*s**2 + 2*s + 2*s**3. Let c be r(4). What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*y + 8*y**2 - 31*y)*(0*y + y + 3*y)*(0 - 1 + 2)*(-118 + 194 - 101) + 0*y**3 + 4*y**3 - 3*y**3.\nAnswer: -799*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 + 3 - 7 - (4 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 + 2. Let k be j(4). Let g = 20 + k. Suppose -2*n - 2*f + 6 = -g, -3*n - 4*f + 19 = 0. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 525 = 481. Which is the closest to v? (a) -2\/11 (b) 1\/46 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 48 = -11*m. Suppose 7*c = 4*c + m. What is the greatest common factor of c and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 25 (c) -0.1 (d) 1\/2 (e) -3 (f) 35.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/10 + 18*a**5\/5 + 103*a**4\/4 + 78*a**3 + 114*a**2 + 686*a. Factor w(u).\nAnswer: 3*(u + 1)*(u + 2)**2*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -19. Let r = 12 - 5. Calculate the smallest common multiple of o and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167730050490 - -2.8.\nAnswer: -167730050487.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m + g - 33, 0 = -2*m + 5*g + 15. Suppose 76 - m = 3*v. Suppose j = -5*d + 28, -5*j - v = -d - d. What is the remainder when 15 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (11 - (10 - (19 - 7 - 11)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 568 + -728. Calculate the remainder when 27 is divided by (5\/10)\/((-5)\/o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2577, 2586, 2617, 2682, 2793, 2962?\n\"Answer: 2*v**3 - v**2 - 2*v + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.5. Suppose -79 = -5*j - 74. What is the biggest value in y, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9779153ng?\nAnswer: 0.0000009779153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 57739?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8118715 is divided by 8457.\nAnswer: 8452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -12. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, 1, -14 in descending order.\nAnswer: 2, 1, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**3 + 2*s - 1. Suppose 0*p - 14*p - 672 = 0. Let w be p\/(-28) - 1 - 4\/(-14). Determine k(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 219.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 105 + 26*r + 67*r + 39*r. Let s(j) = 397*j + 311. Let y(i) = -7*b(i) + 2*s(i). Differentiate y(z) with respect to z.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7027358 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53.769 + -50.7399. Let z = o - 0.0291. Let m be 24\/(-25) + (0 - -1). Which is the closest to 2\/7? (a) m (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 16) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10400 - 10400. Which is the nearest to f? (a) 2\/9 (b) -74.6 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**2*b**2*i**2 + 2*a**2*i**3 - 6*a*b**3*i**3 + a*b**2*i**2 - 12*b**3*i**3 - 2*b**3*i - 8*b**2*i wrt i.\nAnswer: 12*a**2 - 36*a*b**3 - 72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, 1\/8, 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 2, h: 1, o: 1}. Give prob of sequence pi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (2 + sqrt(208) + 5) - (2 + sqrt(208) + -3))**2.\nAnswer: 48*sqrt(13) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 8*z - 39 + 7 - 32*z. Is o(-8) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)\/sqrt(8) - sqrt(30)) + sqrt(30))*-4)\/(sqrt(320)\/sqrt(2)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 383983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/585 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230194302?\nAnswer: 2, 3, 13, 2951209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -381123 divided by -42347\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311 + 313. Solve c = q + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 9*d**5 + 11*d**5 - 23*d**5 - 3*d**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))**(-2\/17)\/((y*y\/(y*y\/y**4))\/y*y\/(((y*y*y*y**3)\/y)\/y)*y))\/((y\/(y**(1\/2)\/y))**(-41)\/(y**1)**(-8\/7)) assuming y is positive.\nAnswer: y**(14071\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - -3.96. Let u = i - 2. Is u > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqalqlqakk. Give prob of sequence ql.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 87, 1.2, -4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -3 - -21*2. Suppose 0*z + 5*z + s = 0. Let p be z*(2 - 11\/3). Calculate the greatest common divisor of p and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*x + 2*k, 0 = -4*x - 3*k + 63 + 3. Let f be 5\/x - 6\/(-9). Solve -f = -4*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3861209795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*t**3 + 13*t**3 + 21*t**3 + 329*t**2 + 34*t**3 to the form d*t**3 + u*t + j*t**2 + y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -4, -523, -1\/7, 2\/5 in ascending order.\nAnswer: -523, -4, -1\/7, 1\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*x - 43 = -176*x + 6*b, -5*x - 41 = 2*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = -0*l + 3*l, -5*l + 3*d = 1. Let r = l - -2. Suppose r = -2*f + 2 + 2. Solve 4*j + f = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -2118672?\nAnswer: -7\/264834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/3 + 172*x\/3 - 1898\/3 = 0 for x.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 71, 96, 121, 140, 147, 136, 101?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (3 - 7) - -1. Let o(y) = 1 - f*y + 1 - 3. What are the prime factors of o(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 - 17*b + 50. Calculate z(4).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*o - 544*o - 80*o - 2*o**2 - 1074*o in the form d*o + t + q*o**2 and give d.\nAnswer: -1815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 458.0263 tonnes?\nAnswer: 458026300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 519 + -2. Let c = -332 + g. Suppose -5*x = -0*x - c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430684781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2 + 9 - (-128 - -135)) + -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 2\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4424*l - 1375854. Give b(311).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**3 + 3*f - 2. Let o(p) = 18*p**3 - 5*p + 3. Let r(g) = -311*g - 1550. Let s be r(-5). What is s*z(i) + 3*o(i)?\nAnswer: 9*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + 0.27. What is the third biggest value in 1\/28, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -623348\nAnswer: 7\/623348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2010102342 by 6.\nAnswer: -335017057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7747 + -7748. Let b = -4 - -6. Let y be (b\/112)\/((-25)\/(-20)). Is z greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.1385 grams in kilograms?\nAnswer: 0.9571385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6766 - 4693. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 13 = -5*l. Let q = 20 - l. Solve -2 + q = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 15, -2*k - 4*t = -0*k - 16. Sort 0, 3, -4, k.\nAnswer: -4, k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*n - 18*n - 5*n)*(n + 0*n + 0*n + (n - n + n)*(3 - 3 - 2)).\nAnswer: 46*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b + 67. Let z be h(6). Let n(l) = -2*l - 5. Let w be n(-6). Find the second derivative of 13*y**3 - z*y - w*y**3 + 25*y + 4*y**3 wrt y.\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j - 15. Let t = 25 + j. Suppose 3*a + 2*r = -3*r + t, -4*r = a - 8. Solve 2 = -z - a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -98*r + 2037. Determine x(21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 392 - 346.8. Round j to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 192 and -615325.7607?\nAnswer: 615517.7607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7.1. Let f = -24.4 + 24. Let j be 5\/10 + (-1 + 0 - 1). Which is the second smallest value? (a) n (b) 1\/2 (c) j (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.01 (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/((c**(-1\/4)\/c*c)\/c))**(-1\/21)\/((c**(-10)\/c)\/(c\/(c**(1\/19)*c))))**(-25))**(-17\/2) assuming c is positive.\nAnswer: c**(7320625\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115 - 73) + -188 - -95.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3977 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.867 rounded to one decimal place?\nAnswer: 43.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a + 8. Let s be c(7). Suppose -5*j - s = -t, t + t - 106 = 2*j. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0475 - -10718094.23.\nAnswer: 10718094.1825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33568.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10 = -0. Let r(y) = 15*y + 2 + y**2 - 1 - 16*y. Give r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*24\/(-18)*(-5)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -154*y + 151*y + 4*w, -3*w = -7*y - 3*y - 2*y - 84 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -21000?\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 2, 3, 853185 in ascending order.\nAnswer: 2, 3, 25, 853185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7317, -14786, -22457, -30324, -38381?\n\"Answer: c**3 - 107*c**2 - 7155*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 4:01 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -11844\nAnswer: -1\/3948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/13, -8\/13, 72.8, 0, 2\/9?\nAnswer: 72.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(18)\/sqrt(150))**2 - ((2*sqrt(90))\/sqrt(6))\/(sqrt(25)\/sqrt(125)).\nAnswer: -64*sqrt(3)\/5 + 1228\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/((-378)\/(-24)))\/(13\/((-455)\/60))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202899283 to the power of 1\/2, to the nearest integer?\nAnswer: 14244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4925, 19711, 44253, 78557, 122629, 176475, 240101, 313513?\nAnswer: 396717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*z - 98 = -0*z, -2*z = -2*n - 48. Is (1 - 2)*(n + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1408*q**3 + 32*q**2 - 32*q + 32. Let b(m) = 128*m**3 + 3*m**2 - 3*m + 3. Give -32*b(w) + 3*v(w).\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 13*l - 26. Determine d(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -2cd?\nAnswer: -2ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 5*t**2 + t - 5. Let b(s) = -s**3 - 2*s**2 + 2. Let j be -9 + ((-7)\/((-35)\/110))\/2. What is j*x(z) + 5*b(z)?\nAnswer: -3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33769338 divided by -6.\nAnswer: 5628223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))\/(f**(-2)\/f)*(f*f**(-2\/11)\/f*f)\/(f*f\/(f\/f**6*f)*f))\/(f\/(f\/f**(1\/2))*f*(f\/((f*f*(f\/(f**(-1\/5)*f))\/f)\/f))\/f)**(1\/8) assuming f is positive.\nAnswer: f**(-1183\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86187 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v + 25. Give r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68888 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002072 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13816*q + 13819*q + 42 = 0, -3*q = -5*i + 62 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 73212 * -0.3\nAnswer: -21963.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 344*j**2 - 197179*j**3 + 51*j**2 + 197174*j**3 + 400*j.\nAnswer: -5*j*(j - 80)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76 - -10?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13553 - 13436. Calculate the lowest common multiple of 54 and b.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10624250.\nAnswer: 2, 5, 7, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 164693300 rounded to the nearest 100000?\nAnswer: 164700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566597*t - 566721*t = -2604 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 + 153 - 254 - 15802*c as j + v*c and give v.\nAnswer: -15802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3172*m. Let t(d) = -11*d**2. Determine t(r(c)).\nAnswer: -110677424*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11286)\/176)\/(-27)*-6?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 3*t. Suppose 6*f - 3*f = -2*d - 4, 5*d + 31 = 3*f. Sort t, d, 5.\nAnswer: d, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 8 = 6. Let c be -1*(-4 - (h - 6)). Let k(m) = -m + 85. What is the remainder when k(c) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -18*b**3 - 1. Suppose 0 = -2*v + 1 - 3. Let n be y(v). Calculate the highest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lns when three letters picked without replacement from {l: 2, n: 2, f: 4, i: 1, s: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 5 = 0. Calculate the remainder when (0 + 2\/6)*1005\/v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3839651.\nAnswer: 3839651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-2)\/(-4). Let u be v\/(-2) - 58\/(-4). Let p = 18 - u. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785943283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 30 = -2*n, -2*o - 15 = -9*n + 4*n. Sort 0, o, 10 in decreasing order.\nAnswer: 10, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42598 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 10:35 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43652099 + -12757031. Suppose 3*k = -k - l. Let i = 4023767 + k. Round i to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/53, 1.2, -622196?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74c - 4?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82181, -82144, -82087, -82010, -81913?\n\"Answer: 10*v**2 + 7*v - 82198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1879529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32742, 32743, 32744?\nAnswer: 32745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 8 + 2*l - l**2 + 4*l - 4*l. Let w = 1 - 1. What is the remainder when 23 is divided by j(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:15 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*h - 534*h + 4162*h + 363660 = 0 for h.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 89302109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -121920 divided by -60960?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -0.1 (c) 0 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let w be o\/(0 - 3 - -2). Let l(k) = w*k**3 - 5*k**2 + 5*k - k**3 - k**3 + k**3. Calculate l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - i**2 - 4*i**3 + 4*i**2 + 4*i - 7. Let q be k(-3). What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10430203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20443.9941885 - -20444. Round c to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004933321757 rounded to seven dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*m - 5 - 0, 0 = 5*j + 2*m - 41. Suppose 2*h + 5*u + 20 = 0, 0*h - 3*u = h + 12. What is the smallest common multiple of 2 - h - (0 - 0) and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(-624)*4*338\/26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4112005?\nAnswer: 5, 53, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8 - 7\/(-2). Suppose 2*u = -4*m + 632, 3*m - 5*m + 324 = -x*u. Let s be (-3)\/((-9)\/(-1000))*m. What is s rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrlrcnnlrrnnlcccrn. What is prob of picking 2 r?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-6))\/((-66)\/(16632\/(-210))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004728 rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.699963 + -22.7. What is c rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 274*z - 550*z + 269*z in the form y + b*z and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -846 * 1.\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189 - 171. Is i at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136569295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 17 - 15 = 0. Suppose 3*t - 2*b - i = 0, 2*t = -t - 3*b + 6. List the prime factors of 10 - 2\/t*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + (-79)\/((-3081)\/1196))*12\/10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -383*z + 6048. What is s(11)?\nAnswer: 1835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -2.7. Let a = 3 - n. Let p = 0.02 - 0.32. What is the second smallest value in 0.5, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 86 + 94, -3*c - 2*h - 20 = -6*h for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20120022111 + -11002?\nAnswer: 20120011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose 5*v - 60 = -r, -r + h*r = 0. Solve 6*q - 2*q + v = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.9? (a) -5 (b) -4 (c) 27 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((28 + -10 - -3) + -47).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)*(105\/(-10) + 10). What is the nearest to w in -1\/3, 6, 5, 29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -5*h - 11, -168*y + 170*y - 3 = 5*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 4*o + 2. Let k = -7 + 11. Let n be j(k). Solve 14 = -4*q + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = -4*n. Suppose -2*s - h + 5*h = -32, 5*h + 60 = 5*s. Let c = -6 + s. Solve 0 = -n*v - 5*q + c*q + 7, -v + 5 = 4*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/357 and 95\/84.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -72, 7\/4, -4 in decreasing order.\nAnswer: 7\/4, 0.4, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.05 - -0.05. Let j = s + 11.1. Suppose 5*p - 2*z - z = -1, 3*z - 6 = 0. What is the nearest to j in p, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/17 (b) -178 (c) 0 (d) 2 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/3 - 10835*c - 130100\/3.\nAnswer: 5*(c - 6505)*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/12 - 0) + 1. Let r = 151 - 154. Sort -0.24, r, m.\nAnswer: r, -0.24, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 - 4\/(384\/(-484)) and 51\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**5 + 2*h**5 - 5*h**5)*(-1 + 1 + 1) + (-2*h**4 + 4*h**4 + 0*h**4)*(2 - 2 + h) + h**5 + h**5 - 3*h**5 + h**3 - h**3 + h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3\/21)\/((-94)\/(17108\/169))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/22 - 2) + 5\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h + 15*h + h + 107*h**2 - 24*h + 161 with respect to h.\nAnswer: 214*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186141523291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 20527860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l + 3 - 6 + 19*l + 6 - 3.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8980\/22 + (-4)\/22. Let u = -412 + o. Let v(k) = 2*k**2 + 5*k + 5. Calculate v(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1639 (base 12) to base 4.\nAnswer: 221031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, p: 5, c: 4}. Give prob of picking 1 j and 3 c.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - -136. Let r = -116 + d. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 323*d**2 + 5*d + 2058.\nAnswer: 646*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 67*j**2 - 517*j - 84. Determine h(74).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:58 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.539*-0.8.\nAnswer: -0.4312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 334302*t\/5 + 3742928.\nAnswer: 2*(t + 56)*(t + 167095)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*g = -0*v - 11, g + 18 = 4*v. Suppose m + 4 = v*m. Calculate the common denominator of (155\/(-200)*2)\/m and 1\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16260 (base 7) in base 2?\nAnswer: -1000111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2298486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a factor of 35532030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175485 divided by -35097.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 5*t**2 - t + 1. Let c be h(-5). Let v = -9 + c. What is the remainder when 45 is divided by 19 - (3 + (-3 - v))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 360745280 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*sqrt(5)*3*6.\nAnswer: 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -105, 0.118, -2, -22\/9?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18611)\/(-814) - -15) + 6\/44?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdx when three letters picked without replacement from {f: 2, r: 1, d: 1, x: 2, y: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42295?\nAnswer: 5, 11, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97606, -390355, -878246, -1561285, -2439478?\nAnswer: -3512831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*x + 6. Let u(f) = f**2 + 16*f + 21. Let r be u(x). Suppose 4*g - 8 = -4*a, 2*g - 4*a - r = 28. Calculate the least common multiple of g and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/49)\/(165\/385*1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2947119 or -2947120?\nAnswer: -2947119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111010001011 (base 2) to base 16\nAnswer: e8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1974124*h**3 + 3968*h**2 - 2*h + 132.\nAnswer: 11844744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(221\/(-52))*1.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1012)\/(-1242))\/(20\/6) + 2\/10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5, 10 in decreasing order.\nAnswer: 10, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21496135 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 34*i**2 + 11*i - 2. What is the hundreds digit of p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**8\/1008 - b**7\/630 - b**6\/360 + b**5\/180 - 11*b**2. What is h in s(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1439473?\nAnswer: 5\/1439473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*i**3 + 12*i**4 - 46*i**3)*((3 - 2 + 0)*(10*i - 2 + 2) + (5*i - 4*i + 0*i)*(1 + 0 + 0)).\nAnswer: 132*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1183 + 11*v - 1180 + 2363 - 8*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 9*f + 20. Let j be n(8). Let m be 27\/6 - j\/(-8). Suppose 52 = i - 4*r, 2*r = -3*i + m*r + 132. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47170603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + 2) - (10 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/57 and -58\/27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**2*r**3 - 2*d**2*r - 58*d**2 - 16*d*r + 263*r**4 + r wrt r?\nAnswer: -30*d**2*r + 3156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v**(-2\/3)\/v*v))\/(v*v*v**8))\/((v*v**(-8))\/v*v*v**(-4\/11)))**(-28))**(-40) assuming v is positive.\nAnswer: v**(-72800\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34122060 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2460 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.4 + -9.2. Suppose 0 = 2*g - 3*g. Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0460372 + -0.2960284. Let j = 2.25 + -2. Let z = j + x. Round z to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32 - -1)*-20*-2. What is n rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/((h*h*(h*h**(1\/2)*h*h)\/h*h)\/h*h)*h**(2\/5)*h\/h**(-7))**(1\/9) assuming h is positive.\nAnswer: h**(-31\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 26*p + 76. What is n(20)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 6 - 2*l**2 + 15*l - 5*l**2.\nAnswer: -7*l**2 + 23*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*l**2*x**4 + 4*l**2*x**3 + 3*l**2*x - 35*l*x**2 - 3 wrt x?\nAnswer: -2136*l**2*x + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182320834 to the nearest integer?\nAnswer: 13503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -40. Let b be (6\/7)\/(j\/21). Is b\/2 - (-8766)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/7)*w**(-1\/8)\/w*w)\/(w**(-1\/2))**(-24))\/(w**6*w\/(w*w*w**(-3\/2))*w*w**4*w**(-1\/5)) assuming w is positive.\nAnswer: w**(-6439\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from utututyctyttyukuttyt?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 2. Let l be m(4). Suppose -2*z - 10 = -4*d, -d - z = z. Find the third derivative of -36*b**6 + 1 + 34*b**l + 2*b**d - 1 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*m + 15, -2*b = -5 - 1. Let t be 1\/(m*1\/(-4)). Is (-2342)\/2*-2*(-2)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131435*l**2 - 2 + 1 + 1 - 131430*l**2 + 262869*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1.5, 0.6, -1\/7, -4, 1\/20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 17. Let y be p(7). Let c be ((-24)\/y)\/(4179\/595 - 7). Let z = c - 70. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 - 111. Calculate the remainder when 389 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 + (6 - 6))) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 312007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.64? (a) 3 (b) -15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 35 = -5*z, 7*z - b + 250 - 249 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15894209 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-120)\/66 - -8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -46. Suppose -25 = -15*c + 10*c. Solve u - 3 = c*o + s, 0 = 2*u - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 13*c + 5. What are the prime factors of l(-10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 9 = -11. Let z(b) = b + 0*b + 2*b - b + 3. What is z(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/5 + 1048*b**4\/5 + 176601*b**3\/5 + 520394*b**2\/5 - 836*b - 693864\/5 = 0. Calculate b.\nAnswer: -838, -207, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.37 - 6.3700576. Round b to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**8\/100800 - t**7\/8400 + t**6\/1800 + t**5\/60 - 2*t**2. Let o(z) be the third derivative of k(z). Factor o(f).\nAnswer: (f - 2)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 - 57*a**2 + 67*a**2.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*x = -43, -283*j + 282*j = -2*x - 17. Solve 2*z + 2*c = -j + 19, -4*c = -3*z - 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11 + 30 - 19 - 2*o. Let d(q) = 3*q. Calculate 2*d(t) + 5*p(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170021 is divided by 33174?\nAnswer: 4151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01218266221 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 17. Suppose q = 7*a - 108 - 11. What is the third derivative of 38 - 3*u**3 + 2*u**3 - 38 + a*u**2 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from zxxvvwwzvxxwz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isr when three letters picked without replacement from {i: 4, r: 2, l: 1, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 15*l**2 + 5*l**2.\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5506722?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -21*b + 21. Solve 0*v - 6 = 2*u - b*v, -15 = 4*u - v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Let c(p) = -47106893*p. What is c(d(l))?\nAnswer: 94213786*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*q + 48*q + 2*d - 23, 5 = 3*q + 5*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 21*b + 2800. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a century in months?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 110?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f**3 - 2*f**3 - 2*f**3)*(276*f + 118*f + 67*f)*(-4 + 4 - f).\nAnswer: -1844*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(z + z - z) - z + z + 2*z + (0 + 3 - 2)*(z + 1 - 1) - 5*z + 5*z + 2*z + (5*z + 0 + 0)*(0 + 5 + 2).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/4 + o**3 - 3*o**2\/2 - 4*o + 52. Let d be n(-3). Solve -x + 43 = -d*g + 16, -8 = x + 2*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 37*v - 14. Let d be p(2). Calculate the highest common divisor of 24 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.02 * 35\nAnswer: 140.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*(-1 - 1). Solve -3*k + 2 = -5*h, 10 = 3*k + p*h - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**2 + 4*g - 6. Calculate m(-4).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:01 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 990.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 33. Let p(o) = -2*o**2 + 31*o + 63. Let s be p(18). What is k(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + (-217)\/(-28)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4621, -5456, -6291, -7126, -7961?\nAnswer: -8796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/((-1)\/9*-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -200323 - -635?\nAnswer: -177466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(2 - 36\/15). Let t be (7 + (g - 1))\/2. Suppose -28 = -t*j + 112. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/4)\/(s**(2\/27)\/s) assuming s is positive.\nAnswer: s**(235\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-6)*z*z*z*z*z**(-2\/5))**(1\/2))**19 assuming z is positive.\nAnswer: z**(-133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1 + 2*x - 1. Let l(v) = 6*v - 10. Let k(n) = 2*n - 2. Let c(o) = -5*k(o) + l(o). Calculate d(c(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3134, -2083, -964, 223, 1478, 2801?\n\"Answer: 34*r**2 + 949*r - 4117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2742*m + 1814*m + 6209*m = 1614750 for m.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 215802382 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 10, d: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1522 - -1517. Which is the third biggest value? (a) 0.4 (b) 0.077 (c) o (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27 and -432.14808643.\nAnswer: -405.14808643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287076452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/2*(-3 + -1 - -5). Let z be 9\/(-6)*(17\/k - -3). Let p(g) = 7*g + 3*g - z*g - 7. Let l(f) = 3*f - 3. Calculate 9*l(d) - 4*p(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 964763 to the power of 1\/2, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3671008 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let y = 34 - 30. Solve h = f*h - y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + d. Let u(y) = 53*y**4 + 2*y**3 - 6*y**2 - 59*y. Let k(n) = 6*p(n) + u(n). Find the second derivative of k(w) wrt w.\nAnswer: 636*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/12 + c**3 + 2*c. Let z be (22\/(-4))\/((-3)\/6). Suppose -5*l = -5*o + z - 41, -4*o = -l + 24. What is a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -315, -27, -2, 3, -16, 1 in ascending order.\nAnswer: -315, -27, -16, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-5) - -4)\/((-5052)\/240 + 20)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 - 7*m**3 - 4*m**2 + 2*m**3 + 4*m. Let y be g(3). Let a = y - -3. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13321, -13317, -13313?\nAnswer: -13309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001265 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -1495, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 291.017 and -22.\nAnswer: -6402.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-4))\/((-2)\/(-86)). Let s = 173\/4 - w. Let j = 6112\/13 + -470. Does s = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 1}. Give prob of sequence qqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25057?\nAnswer: 25057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 n when four letters picked without replacement from wbgwnggwwngcngwbgwg.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*g + 1 + 0 + 0 + 41*g to q + j*g and give j.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.49983 + 8.5. Round v to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/45*(-2)\/12*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4023, 0.12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptowottwppkpww. What is prob of picking 1 o and 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*b**3 + 170*b**2 - 637*b**2 + 249*b**3 wrt b?\nAnswer: 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + (-20)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 + (-18 - 13) + (41 - 24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 15. Let l(g) = g - 2. Let i(a) = -l(a) + s(a). Let r be 34\/(-2) + 4 + -3. Let t = r + 7. Determine i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 381 * -1682\nAnswer: -640842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2879601 and -3.6.\nAnswer: 10366563.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmbmbcmb. What is prob of picking 1 c and 3 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11. List the prime factors of (-16)\/(-2 + t + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363) - (-2*sqrt(363))**2)*-5.\nAnswer: -14520 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2 - 499*f**2 - 1104*f**3 - 78*f**2 wrt f.\nAnswer: -6624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3930565, -3930566, -3930567, -3930568, -3930569?\nAnswer: -3930570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1452*w**4 + 6250.\nAnswer: -5808*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*954\/(-135) + (-8)\/(-10). Solve 0 = -9*p + 6*p + 3*x - 6, -4*p = 3*x + i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w + 2. Let g(h) = h**2 + 5*h - 2. Let b be g(3). Let x = -25 + b. Sort 1, x, w in increasing order.\nAnswer: x, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 322569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18821*x**3 - 5563*x**3 - 5217*x**3 - 3*x**3 - 2*x**3 + 3*x**3 + (-5 + 5 + 2*x**2)*(-2*x + 2*x + 2*x).\nAnswer: -29599*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2212 (base 3) to base 7\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)*(-1)\/(-1). Suppose c = 4*d - 0*d - 48. Let f(h) = -h + 108. Let b be f(0). Calculate the highest common divisor of b and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3 + 20*j**2 - 40405*j - 3*j**3 - 92 + 40383*j - 48 = 0.\nAnswer: -2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 2*s + 5. Suppose -4 + 12 = -o. Calculate the remainder when b(o) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54393.89 litres to millilitres.\nAnswer: 54393890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7257150 to the power of 1\/2, to the nearest integer?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-12) - (-2)\/6. Find i, given that 2*i**4 + 4*i**4 - h*i**2 + 7*i**5 - 2*i**5 - 2*i**5 - 3*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1269 divided by -956889.\nAnswer: 141\/106321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 170371\/316 >= 539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/((693\/44)\/7). Let f(h) = 5*h + 1. Let w(n) be the second derivative of -n**3\/6 + n. Determine o*w(z) + f(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -320\/42927 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23492*f**4 + 966*f**3*g + 823*f**2*g + 390*f**2 + 28*f*g - 2*f wrt f?\nAnswer: -563808*f + 5796*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 641*y**2 + 1 - 677*y**2 in the form z + r*y**2 + u*y and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26930 is divided by 170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23391 and 3657?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + 25. Suppose -g*n = -2250 - 50595. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843038661?\nAnswer: 3, 157, 1789891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r. Let y(o) = o**2 + 11*o + 1566. What is y(u(q))?\nAnswer: 9*q**2 - 33*q + 1566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -32. Let q = 62 - 103. Let m = q - -65. What is the highest common factor of m and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 15 = 4*i, -2*i + 16928 - 16938 = -i - 3*i + 2*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14312 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z**4 - 7*z**2 + 5*z - 63. Let q(k) = -k**4 - k. Let a(f) = -h(f) - 5*q(f). Differentiate a(p) wrt p.\nAnswer: -24*p**3 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/7)*t)\/t**14*(t**24)**(-1))**(-39\/7) assuming t is positive.\nAnswer: t**(9984\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 7*t**2 + 4*t - 8. Let r be w(-6). Let g = r + -4. Let x be 1 - (-33)\/(-39) - 200\/(-52). Solve x*f - f = g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-450))\/((-8)\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6275 + -6243. Let r = 25 + -5. Suppose -5*u = r + 5. Sort 1, 3, u, z.\nAnswer: u, 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3597228, -7194425, -10791636, -14388867, -17986124?\n\"Answer: -x**3 - x**2 - 3597187*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 669*z + 9567. Let v be o(-14). Solve -c - 3*l = -23, c = v*c - 4*l + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-15)*s**(-5\/4)*s**(2\/23)*s*s**(1\/11) assuming s is positive.\nAnswer: s**(-15253\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.7 and -0.46.\nAnswer: 5.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*m - 687 = 0, 4*u - 3*m - 229 - 690 = 0. Is 116 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108306 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 3*p - 13, p + 5 = 3*s. Suppose -2*z - 12 = -7*z - 2*d, 11 = 4*z + 3*d. Suppose z*j = -v + 10, s = -3*j - v + 15. Solve 3 = -j*t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8256*n**5 + 123056*n**4 + 88352*n**3 - 223956*n**2 + 50752*n - 560 = 0. Calculate n.\nAnswer: -14, -2, 1\/86, 1\/4, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(2736) + 4 - -4*(-2 + sqrt(2736)) - (3*(sqrt(76)*2 - sqrt(76)))\/(sqrt(16)\/(1*sqrt(4))))**2.\nAnswer: -570*sqrt(19) + 61751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -2972\/59?\nAnswer: -2972\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**(2\/5))*m*m**(-5\/2)*m*(m**(-2\/3))**1*(m\/(m**6\/m))\/m*m*m**(1\/7)*(m*m**0)**(13\/3) assuming m is positive.\nAnswer: m**(-61\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(3) + sqrt(16) + sqrt(16))\/sqrt(2) - sqrt(8))\/((sqrt(28)*2)\/sqrt(7)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 50445147554600\nAnswer: 50445147554600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and (1 - (-38)\/3) + 540\/(-324).\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/8, -1\/33, -0.03, 0, 2, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336821 is divided by 201?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eep when three letters picked without replacement from pepeeeppppep?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1082 - -1255. Calculate the remainder when 186 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 3, v: 4, k: 5, h: 1}. What is prob of picking 1 y and 1 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9584463 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0\/5)\/(4*(-1)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 6098510?\nAnswer: 6098512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1312627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 18. Let d be w(7). Let s = 71 - d. Let b = s + -10. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 16. Let j(p) = p**2 + 3*p + 4. Let d be j(o). Solve r - d = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6797.587 nanograms to milligrams.\nAnswer: 0.006797587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -444761 equal to -444904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581544190?\nAnswer: 2, 5, 23, 31, 81563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4, -5, -3, 2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 7*l**2 + 8*l - 3. Suppose 6*y = -12 - 24. What is c(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*k + 23*k - 994 = -23*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f + 4*b - 12432, 3*b = -2*f + 6215. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*t + 331 + 105, -4*t - 832 = 2*i. Find the common denominator of -1 - (818\/t - 5\/25) and -131\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58222266.\nAnswer: 2, 3, 9703711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.2655509 rounded to 0 decimal places?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t - 182. What is the remainder when s(-33) is divided by 77?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2785 divided by -2.\nAnswer: -2785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/13 + 12353840*s**3\/13 - 61769244*s**2\/13 + 37061568*s\/13 + 111184650\/13 = 0. What is s?\nAnswer: -6176925, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 6*p**2 - p - 4. Let o be q(-6). Let n = 239 - 238. Sort 6, o, n.\nAnswer: n, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -27.4. Let p = 201\/92 - 56\/23. What is the third biggest value in 2\/7, p, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:02 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 1280 = 8*j + 111*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 166311058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 1 - (-2 + (2 - -9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 6, 5 in descending order.\nAnswer: 6, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**3\/6 - 8*b - 9. Let z(y) be the first derivative of a(y). Let o(f) = -10*f**2. Determine z(o(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11355354267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssys when four letters picked without replacement from {y: 11, s: 9}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277037?\nAnswer: 29, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 1\/3 (c) -1.6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5)\/b)**(-3)\/(b\/b**5*b\/(b**(-16\/3)*b)))**(-6\/7) assuming b is positive.\nAnswer: b**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/20026 and 63\/722?\nAnswer: 380494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of -8 + (19127\/2 - 8*(-27)\/(-144))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 13 + 13 + 7*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*l - 12 - 18 = 0, -k + 3*l = -20. Let d be (-1)\/(-2) + (-169)\/2. Sort 2, d, k in decreasing order.\nAnswer: k, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12612196*n**3*q*v + 7*n**3*v**2 - 305*n**3 + 565*n**2 + n*q*v**2 - v wrt q?\nAnswer: 12612196*n**3*v + n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*u - 9 = 0, -4*u - 20 = -5*m - 9*u. Suppose 7 = 3*k - 2. Factor 2*b**m + b**2 + 2*b - 4*b**k + b**3.\nAnswer: -b*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2067 is divided by 256?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 - 4 = 0. Let o be ((-8)\/20)\/(s\/30). Suppose y = -o, -4*y + 53173 = -f + 1113189. What is f rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 - 2*w**2 - 6*w + 5. Let b(h) = 6*h**3 + 3*h**2 + 11*h - 9. Let m(d) = 4*b(d) + 7*o(d). What is m(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7)**23*(m**(4\/5)\/m)\/m**(-5) assuming m is positive.\nAnswer: m**(829\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let f be (-2 - -1) + 4\/2. What is the units digit of t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = -5*f - 51. Let v = 111 + f. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - r = 8, 5*z - 3*r - 12 = -2*r. Find the third derivative of q**2 - 3*q**4 + 0*q**z + 2*q**4 - 3*q**4 wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2442\/7, -21\/4, 2\/9?\nAnswer: -2442\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6000, 5942, 5884, 5826?\nAnswer: 5768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -2654?\nAnswer: 2649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2636*g**2. Let i(u) be the third derivative of -u**4\/24 + 54*u**2 - 10. Determine x(i(d)).\nAnswer: 2636*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from svphsvpjssvvjjsvvooo.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215995.\nAnswer: 5, 13, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5 - 174*y**4 - 1884*y**3 - 5384*y**2 - 4656*y = 0.\nAnswer: -6, -2, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1119992 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)*k*k\/(k\/(k*k\/(k\/(k\/(k*((k\/(k**(2\/19)\/k))\/k)\/k*k)))*k)))\/(k**1\/k*k*k*k*k**(9\/2)*k*k)*(k**2\/k*k)**1\/(k\/(k**(-2)\/k))**8 assuming k is positive.\nAnswer: k**(-4301\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773130?\nAnswer: 2, 5, 67, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8. Suppose -s + y*s + 2 = 0. What is the second derivative of -x**2 + 4*x - 3*x**s - 8*x wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2252398 - 2258864 = 106*l for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p - 4*p**3 + 0*p**2 + 2*p - 13*p**2. Let h(i) be the second derivative of -i**5\/20 - i**4\/4 + i**3\/2 + 237*i - 1. Give -26*h(s) + 6*x(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532439469 to the power of 1\/3, to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20789346*j**2 - 4864665*j - 4.\nAnswer: 41578692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1184786, 1184788, 1184792, 1184798, 1184806?\nAnswer: 1184816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1*18\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -125606 divided by 62803?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 432\/720*(-1 - -2*13). Solve 0 = -16*i + c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12009 and 2601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1518?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -49, -195, -493, -997, -1761, -2839, -4285?\n\"Answer: -9*s**3 + 5*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5346 + -5404. What is the nearest to -1 in -2\/7, -1, 4, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 24\/(-9))\/(3\/9). Let w be ((-16)\/d)\/((-4)\/1990). Suppose 2*t - 2*l - w = -l, 2*t - 1588 = 3*l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3275515 divided by 10.\nAnswer: 655103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.5 - -42.5. Let d(c) = -3*c**3 + c + 1. Let t be d(-1). What is the nearest to 5\/3 in b, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331.51362 rounded to 0 dps?\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, o: 5}. Give prob of picking 3 o.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 2. Let y be 1\/((7\/(-2))\/(-7)). Let w be t(y). Let g = w + 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514709945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**3 + x + 1. Let o be s(-1). Let i(z) = z - 2 - o*z - z. Let j(r) = -15*r - 5. Let f(m) = -5*i(m) + 2*j(m). What is f(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 4*r**2 - 18*r - 8. Let p be f(-7). Let z = p + 72. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 8*p**2 + 7*p. Let w be d(7). Let b(n) = 0 - 5*n + w. Let u(r) = -r + 3*r - r + 4*r - 4*r. Determine u(b(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*2\/24*-1. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 173*x + 118. Let n be d(57). Let g = 0.1 + -0.1. Let i = -15 - -18. Which is the nearest to g? (a) 2 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3433926.6 to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z - 7, 2*g = -4*z + 20. Solve g*r + 20 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 104, 147, 206, 281, 372?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.453 + 46.894. Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21*z. Let u(s) = -9461*s. Determine u(x(g)).\nAnswer: 198681*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 + 35\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 29*o**2 + 70*o - 14. Let g(x) = -x**2 - 7*x + 1. Give -9*g(q) - z(q).\nAnswer: -20*q**2 - 7*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 3*c**2 - 5*c + 7. Let u be 1 + (0 - -3) + 0. Let x be p(u). Suppose 8 = -x*z + 7*z. Solve -4 = -z*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2\/5*u**2 - 19 - 2\/5*u - 1\/5*u**4 + 0*u**3 + 2\/25*u**5. Factor g(w).\nAnswer: 2*(w - 1)**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z**3 - 74*z**2 + 14*z + 41. Give s(-8).\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 3*z - 2*z**2 + (-2 + 7 - 1)*(4*z**2 - 2*z**2 - 4*z**2) + 0*z**2 + z**2 + 0*z**2 + z**2 + 2*z**2 + z**2 to x*z + d + v*z**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1629 divided by 508.\nAnswer: -1629\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2160)\/545 + 4)\/(3 + -1). Let i = y + -232\/763. Sort i, -0.1, -3 in ascending order.\nAnswer: -3, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.108 and -0.16.\nAnswer: -0.17728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**7\/840 - x**6\/120 + x**5\/60 + 9*x**2. Find s such that f(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + 0) + -4 + (3*sqrt(350))\/sqrt(2) + 0.\nAnswer: -4 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 4*d**2 - 28*d + 110. What is the tens digit of a(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179 and 537.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204ab8 (base 14) in base 5?\nAnswer: 234314441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14348, 14084, 13820, 13556, 13292?\nAnswer: 13028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34527524.99947 + -34527371. Let g = l - 154. Round g to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.1727 to zero dps.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.269. What is a rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 326777200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/99)\/(0 + (-1)\/6). Let i be -2 + -1 + (v - 0). Put i, -5, 5 in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21919*r + 22172*r = -11638 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -7*s, 528 = 5*j + 2*s + 425 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 65 = 4*f. Suppose f = 5*r - 117. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -9*-7948*(-18)\/(-72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t**3 + 2*t**2 + 4*t + 2. Let x be r(-1). Let f be -3 - x\/4 - 130799997\/12. Round f to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1331) + 3 - (sqrt(1331) + 1 + -4)) + 5 + -3)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -52. Suppose 2*q + 36 = 4*w, -2*w - b*q + 12 = -q. Solve 5*s + 12 = -w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(55)\/(sqrt(5)*-2)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12658, -21882, -37252, -58768?\n\"Answer: -3073*u**2 - 5*u - 9580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 68, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) - 32379\/(-27). Let b = 1682 - t. Suppose -67 = -3*y + 5*h + 219, 5*y - 2*h = b. What are the prime factors of y?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4386 and -5.\nAnswer: -7.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41172866543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 39.\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 - 6*l**2 - 8*l - 3. What is the units digit of u(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -796?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213 + -213.00372. What is r rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124 - -159. What is the greatest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 38*t - 30*t. Solve -5*w = -t*p + p + 37, 2*w = -p - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809254739 to the power of 1\/3, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/4)\/(-3))\/((-4)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3 - 6255*p**2 + 120041*p.\nAnswer: 24*p - 12510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*((-405)\/(-12))\/(-9). Let h be q\/15 - (-66)\/2. Let c = 32 + -32. Sort -2, h, c in descending order.\nAnswer: h, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 z when three letters picked without replacement from qzcaqqcq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 250. Suppose -l = -5*u - 5*v, 89 + 61 = 3*u - 4*v. What is the highest common divisor of u and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 515 - 497 = 4*x - 12*m, -18 = -5*x - 2*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from {c: 10, l: 9}?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - s - 13. What is the remainder when x(6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -785 and -786 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1040\/312*6\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3331*d + 848 - 1682 + 834.\nAnswer: -3331*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7781\/130 - -597\/10. Which is the biggest value? (a) 9 (b) -1 (c) 3\/4 (d) 2\/11 (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 6*z + 210. Solve -4*l + 11 + 5 = -2*d, -3*l - 3*d = -z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2065957, -2065963, -2065969, -2065975, -2065981, -2065987?\n\"Answer: -6*q - 2065951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.66 + -0.06. Let b = 1.3 - p. Let u = 6.3 + b. What is the nearest to 1 in 0.5, -1, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*m - 126248, -m = -5*w - 8001 - 17253. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 1. Let c be z(-3). Solve -c*r + 3 = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 + 5*u + 19. Let j be k(-11). Let r = -227 + j. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8393 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 170085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 5, -5, -167 in increasing order.\nAnswer: -167, -27, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54205 and 24235?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + -12 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32526837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, h: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r = -426 + 494 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + sqrt(5) + -1 + 1 - (5 + -1 + sqrt(245))*-4)**2.\nAnswer: 580*sqrt(5) + 4305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 + 470*d**3 - 11045*d**2 = 0.\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(2\/36). Let l be (0 - (-2)\/d)*6. Let b be l\/((-10)\/(-4) + -2). Is 2 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-5)*(-10)\/(-6). Let m = -176\/15 + p. Let i be (-124)\/(-1488)*2*6\/(-8). Which is the closest to m? (a) -3 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(528)\/(sqrt(33)\/sqrt(3) + sqrt(11)) + 6*sqrt(48)*2 - (((sqrt(12) - sqrt(12)*1 - sqrt(12))*-4 - sqrt(12)) + sqrt(48)\/sqrt(4) + 0).\nAnswer: 5 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330476*p**5 + 1732242*p?\nAnswer: 6609520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11196 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + j + 23*j**3 + 1 - 26*j**3 - j in the form k*j**3 + d + m*j + h*j**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, c: 3, y: 1, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 12 = -30*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + -3 + 4*(sqrt(847) + -2)*-5))**2.\nAnswer: -260480*sqrt(7) + 5442704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1. Let m(j) = j - 2. Let i(l) = -3*h(l) + m(l). Let u = 14 + -7. Let w be i(u). Is w <= 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 4*j + 2*j)*(3*j**2 + 3*j**2 - 4*j**2) - 7*j**3 - 7*j**3 + 12*j**3 - 4*j as r + x*j + s*j**2 + c*j**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 332, 0.5, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6158 - -31915. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 4, 5, -2\/11, 0.1, -30\/29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l - 4*l + (-l + 0*l + 4*l)*(1 - 1 - 1) + (-l - 2*l + 5*l)*(2 - 7 + 18) + 9*l - 19*l - 14*l - 2 + 2 + l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5321 and 501126.\nAnswer: 156852438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 3115*y**2 - 18535*y - 15425.\nAnswer: -5*(y + 1)*(y + 5)*(y + 617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*i - 1101 + 1101 + (i + 2*i + 0*i)*(1 + 1 - 3)*(-4 - 1 + 4) + 6*i - i - 3*i.\nAnswer: 107*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 381\/3738764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93914 + 93914. Suppose 0 = 4*g - 6*g. Let u = g + 1. Solve 2*s - 5*i + 17 + u = z, 12 = -4*s - 2*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.8. Let o = t - 1.000001. What is o rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027075647 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 2*a**2 + 3*a - 3. Let l be g(2). Let u(j) = -4*j**2 + 4 - l + 2*j + j**3 + 6 - 5*j. What is the tens digit of u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 516*o**2 - 54692*o - 423. Calculate r(106).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6)*(-2)\/3. Let y = 0.02 - 0.02. Is y less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 2\/3 (c) 1\/9 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128354 + -230890008?\nAnswer: -230761654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-134 - -54) + (-26888)\/(-336)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -2\/9, 1\/2, -2\/7, 11\/4 in increasing order.\nAnswer: -3, -2\/7, -2\/9, 0.4, 1\/2, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16054 - 48?\nAnswer: 16006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p + 4*n - 12, p + 3*n = -2. Suppose -p = 4*m - 3*m. Let k(f) = 2*f**2 - 32442*f**3 - 3*f + 32443*f**3 + 2*f**2 - 2. Calculate k(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 714508063?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 623*v + 553*v + 95*v**3 - 21*v**4 + 1365*v**2 + 76*v**3 - 3*v**5 = 0.\nAnswer: -7, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1063\/146 - 7\/365. Find the common denominator of (-503)\/(-36) + 4\/(-18) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (9 - (-125)\/(-15))*(-84)\/(-7) + -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -3?\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*p + 2, 5*p - 4*s + 6 = 34 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 - 3*q + 7. Let d be x(6). Suppose 4*k - 7 = d. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1333*a**3*u - 2*a**3 - 2*a**2*u - a**2 + a*u - 2043*a + 2*u wrt a?\nAnswer: 7998*a*u - 12*a - 4*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 402272807*f**3*i**2 + 27*f**3*i - 27953*f**3 - 3*i wrt i?\nAnswer: 804545614*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from {r: 1, g: 8, j: 4}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-517*o - 870*o + 187*o)*(-2*o + 3*o - 2*o).\nAnswer: 1200*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*r - 34*r + 18*r)*(20 - 20 + 2*r**3).\nAnswer: -130*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvmm when four letters picked without replacement from {l: 3, m: 2, t: 3, v: 4, f: 4, g: 2}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 5*o - 2. Let v be r(5). Let y = 0 + 3. Let n = v + y. Let h(b) = 12*b**3 - 1. What is h(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.5, 2110, -3540, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}